The value of the expression 3(3+5g) is 9 + 15g.
What is an expression?Expression simply refers to the mathematical statements which have at least two terms which are related by an operator and contain either numbers, variables, or both. Addition, subtraction, multiplication, and division are all possible mathematical operations.
In this case, we want to simplify 3(3 + 5g)
It's important to open the parentheses. This will be:
=3(3 + 5g)
= 9 + 15g
Therefore, the value is 9 + 15g.
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for a binomial probability distribution with 8 trials and probability of success equal 0.95. what is probability of exactly six successes? (use the binomial tables)
0.0515 is probability of exactly six successes .
What is probability in math?
Probability refers to potential. The subject of this area of mathematics is the occurrence of random events. The range of the value is 0 to 1. To forecast how likely events are to occur, probability has been introduced in mathematics.Binomial probability with
Number of trials (n) = 8
probability of success ( ρ ) = 0.95
ρ = 0.95
p + q = 1
q = 1 - p
= 1 - 0.95
q = 0.05
x ~ bin( n , ρ )
ρ( X = x ) = ⁿCₓ Pˣ . qⁿ⁻ˣ
the probability of exactly six success .
ρ ( X = 6 ) = ⁸C₆ ( 0.95)⁶ ( 0.05 )⁸ ⁻⁶
= 28 ( 0.7351 ) ( 0.05)²
= 28 ( 0.7351 ) ( 0.0025 )
= 0.051457
ρ( X = 6 ) = 0.0515
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46 ---> ? ---> ? = 460
complete this function machine by usin two of the functions shown below
a) times by a 100 b) divide by 10 c) times by 10,000 d) divide by 1000 e) times by 10
f) times by a thousand
Answer:
e)times by 10
Step-by-step explanation:
collects like term
?=x
x=460÷46
=10
if a rectangular prism is 4 cm long, 3 cm wide and 1,5 cm high what is the volume of the prism
Answer: The volume of the prism is [tex]18^{3}[/tex]cm
Step-by-step explanation: The formula to solve for the volume of a rectangular prism is V = lwh. In this case, it's V = 4 x 3 x 1.5 therefore V = 18
Peggy is planting a garden. The garden is 103 feet wide by 7 feet long. What is the area of the garden?
Answer: 721 ft
Step-by-step explanation:
formula for area is a=l*w
Given: w=103, length=7
103*7=721
Answer: The answer 721. When you are finding an area of something you must multiply the length and the width so the information given.
103 x 7 = 721 feet long
Here is the real problem:
It's sloppy as long as you understand the concept : )
0. Given a standard 4 color band resistor, what color code is needed on the 4 bands to have a 0.34
Ohm resistor with a tolerance of ± 10% ?
The colour code needed is silver, green, red and blue for the tolerance of ± 10% on the 4 color band resistor.
What is defined as the term resistor?A resistor is a device that controls or restricts how much electrical current can pass across a circuit in an electronic device. A specified voltage can be supplied via resistors to an active device like a transistor.For the given question;
The most popular type of resistor is the 4-band resistor. The first two bands just provide the first two digits of a resistance value, just as a three band resistor. For a 4 band resistor colour coding, we may start by first locating the tolerance band since it is typically gold or silver. The third band stands for the multiplier whereas the fourth band symbolises tolerance. Due to the widening difference between the tolerance band as well as the multiplier band, the tolerance band may also be easily distinguished.Since it is silver in this instance, the resistor colour code table indicates a tolerance of ± 10% .
Thus, the colour code needed is silver, green, red and blue for the 0.34
Ohm resistor with tolerance of ± 10%.
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3 exponet 4 x (20.3 - 9) + 14.5
The solution to the expression is given as 3 exponent 4 x (20.3 - 9) + 14.5 is 929.8
How to determine solution to the expression?From the question, the expression is given as
3 exponent 4 x (20.3 - 9) + 14.5
When the expression is rewritten, we have the following representation
3⁴ x (20.3 - 9) + 14.5
Evaluate the exponent
So, we have
3⁴ x (20.3 - 9) + 14.5 = 81 x (20.3 - 9) + 14.5
Evaluate the expression in the bracket
3⁴ x (20.3 - 9) + 14.5 = 81 x 11.3 + 14.5
Solving further, we have
3⁴ x (20.3 - 9) + 14.5 = 915.3 + 14.5
Lastly, we have
3⁴ x (20.3 - 9) + 14.5 = 929.8
Hence, the solution is 929.8
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Write an equation in slope-intercept form for the line that passes through the given point
and is parallel to the graph of the equation.
(1,-3); y=-2r+5
Answer:
equation: y= -2x-1
Step-by-step explanation:
y= -2x+b
-3= -2(1)+b
-3= -2+b
b= -1
equation: y= -2x-1
question 1 a sample random sample of 6 bulbs was selected from a lot of 100 for the purpose of estimating its quality. the life of each bulb selected was measured by letting the bulb until it burned out. the results from the test are as follows: bulb number life duration (hours) 1 950 2 1210 3 1070 4 840 5 1420 6 980 a.) estimate the average life of the bulbs in the lot. b.) estimate the total life bulbs in the lot c.) estimate the proportion of bulbs in the lot with life exceeding 1000 d.) estimate the number of bulbs in the lot with life exceeding 1000
a) The average life of the lot is 1078.33 hrs, b) the total life is 107833.33 hours, c) a proportion of 1/2 bulbs have a life exceeding 1000 hrs while d) an estimation of 50 bulbs have a life exceeding 1000 hours.
It is given that the number of bulbs in a given lot is 100.
The number of bulbs in the sample selected is 6
The life of the sample bulbs was
no. life (hours)
1 950
2 1210
3 1070
4 840
5 1420
6 980
a)
The average life of the bulbs can be calculated by
the sum of the lives of the sample/ no. of samples
= (950 + 1210 + 1070 + 840 + 1420 + 980) / 6
= 1078.3333 hrs
b) The total lives of the bulbs in the lot will be
average life X no. of bulbs
= 1078.3333 X 100
= 107833.33 hrs
c)
We can gain the proportion of the bulbs that have a life exceeding 1000 hrs by the given sample
The bulbs
2, 3, and 5 have lives exceeding 1000 hrs.
Hence, out of 6 bulbs, 3 have lives exceeding 1000 hrs.
Therefore the proportion
= 3/6
= 1/2
d)
The number of bulbs in the lot with a life exceeding 1000 will be
proportion X no. of bulbs
= 1/2 X 100
= 50 bulbs
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Write an equation of the line in slope-intercept form.
Ay
4
y =
(0, 2)
2
(3, 3)
4
AX
Equation of line in slope-intercept form is [tex]y = (\frac{1}{3})x + 2[/tex].
Given in graph,
A(0,2) and B(3,3)
Slope-intercept form => y = mx + c
Slope, m = [tex]\frac{y2-y1}{x2-x1}[/tex]
= [tex]\frac{3-2}{3-0}[/tex]
= [tex]\frac{1}{3}[/tex]
Therefore, y = (1/3)x + c
Put A(0,2) in above equation
2 = (1/3)*0 + c
2 = c
Hence, y = (1/3)x + 2.
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a tank contains 1360l of pure water. a solution that contains 0.02kg of sugar per liter enters a tank at the rate 2 l/min. the solution is mixed and drains from the tank at the same rate. how much sugar is in the tank initially? find the amount of sugar in the tank after t minutes. find the concentration of sugar in the solution in the tank after 60 minutes
a) Amount of sugar in the tank initially is 0.
b) The amount of sugar in the tank after t minutes is 13.6(1 - [tex]e^{\frac{4t}{1360} }[/tex]).
c) The concentration of sugar in the solution in the tank after 60 minutes is 3.672.
a) Assign the sugar content of the tank for time t to the symbol A(t). Starting with only clean water, the tank
A(0) = 0
b) Sugar flows in at a rate of
(0.02 kg/L) × (2 L/min) = 0.04 kg/min
and flows out at a rate of
(A(t) ÷ 1360 kg/L) × (2 L/min) = (2A(t) ÷ 1360) kg/min
so that the net rate of change of A(t) is governed by the ODE,
dA(t) ÷ dt = (4 ÷ 100) - (2A(t) ÷ 1360)
A'(t) + (2A(t) ÷ 1360) = 2 ÷ 100
Multiply both sides by the integrating factor [tex]e^{\frac{4t}{1360} }[/tex] to condense the left side into the derivative of a product:
[tex]e^{\frac{4t}{1360} }[/tex] A'(t) + (2 [tex]e^{\frac{4t}{1360} }[/tex] A(t) ÷ 1360) = 4 [tex]e^{\frac{4t}{1360} }[/tex] ÷ 100
( [tex]e^{\frac{4t}{1360} }[/tex] A(t))' = 4 [tex]e^{\frac{4t}{1360} }[/tex] ÷ 100
Integrate both sides:
[tex]e^{\frac{4t}{1360} }[/tex] A(t) = ∫ 4 [tex]e^{\frac{4t}{1360} }[/tex] ÷ 100
[tex]e^{\frac{4t}{1360} }[/tex] A(t) = 13.6 [tex]e^{\frac{4t}{1360} }[/tex] + C
Solve A(t);
A(t) = 13.6 + C [tex]e^{\frac{4t}{1360} }[/tex]
A(0) = 0, substitute the value
0 = 13.6 + C [tex]e^{\frac{4t}{1360} }[/tex]
C = -13.6
so that the amount of sugar at any time t is,
A(t) = 13.6 - 13.6[tex]e^{\frac{4t}{1360} }[/tex]
A(t) = 13.6(1 - [tex]e^{\frac{4t}{1360} }[/tex])
c) As t → 60, the exponential term converges to 0 and is left with
[tex]\lim_{t \to \(60}[/tex] A(t) = 13.6 × (1 - 0.73)
[tex]\lim_{t \to \(60}[/tex] A(t) = 3.672 kgs of sugar.
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Level J > N.1 Convert rates and measurements: customary units W5N convert 31 yards=_____ inches
Answer:
Example 1 : Convert 2 feet into inches. Solution : Here, we convert bigger unit into smaller unit. So we have to multiply. 2 feet = 2 x 12 inches = 24 inches Example 2 : Convert 3.5 yards into inches. Solution : Here, we convert bigger unit into smaller unit…
log₂ (x+5)-1og₂ (x-2)=3
Answer: x=3
Step-by-step explanation:
log₂(x+5)-log₂(x-2)=3
Domain:
x+5>0 ⇔ x>-5
x-2>0 ⇔ x>2
Hence, x>2 or x∈(2,∞)
Solution:
[tex]\displaystyle\\log_2\frac{x+5}{x-2} =3log_22\\\\log_2\frac{x+5}{x-2} =log_22^3\\\\log_2\frac{x+5}{x-2} =log_28\\\\Hence,\\\\\frac{x+5}{x-2}=8[/tex]
Multiply both parts of the equation by (x-2):
[tex]x+5=8(x-2)\\\\x+5=8x-16\\\\x+5-x=8x-16-x\\\\5=7x-16\\\\5+16=7x-16+16\\\\21=7x[/tex]
Divide both parts of the equation by 7:
[tex]3=x\\\\Thus,\ x=3[/tex]
Need Help Please! Geometry question! I’m Not Sure with my answer!
∠A= ∠R , and the triangle is congruent.
What are angles?
When two straight lines or rays intersect at a single endpoint, an angle is created.The vertex of an angle is the location where two points come together.The Latin word "angulus," which means "corner," is where the term "angle" originates.Vertex: The intersection of two lines or sides at an angle is called a vertex. In the diagram, O is the vertex.Arms: The angle's two sides linked at a single end. The arms of an angle are OA and OB.Initial Side: A straight line from which an angle is drawn, sometimes referred to as the reference line. The reference line is OB.The side that the angle measurement is done up to is known as the terminal side. OA is the terminal side in the diagram that is shown below.acc to our question-
ΔBAT AND ΔCRBwith the help of SAS property we can say thattriangle is congruent and equal.Hence,∠A= ∠R , and the triangle is congruent.
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Simplify the rational expression by rationalizing the denominator. √12/√8x
3√2x is the simplified form of the given expression by rationalizing the denominator.
What is the justification?In the form p q, where p and q are integers and q0, rational numbers can be expressed. The distinction between fractions and rational numbers is that the numerator or denominator of a fraction cannot be negative.
What does a math denominator mean?In mathematics, a denominator is the lowest number in a fraction that indicates how many equal parts are split into a whole. It is a fraction's divisor.
What does common factor mean?A common factor is a whole number that is a factor of at least two other numbers. The greatest common factor is the biggest factor that may be divided into two or more integers (HCF). The phrase "lowest common multiple" refers to the smallest multiple that two or more numbers have in common (LCM).
Make the denominator simpler.
12/2√2x
Reject the 12/2 common factor.
6/√2x
Multiply the numerator and denominator by √2x
(6√2x⋅√2x/√2x)
Combine and make the denominator simpler.
6√2x/2x
= 3√2x
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White and solve a system of inequalities to model the following situation:
A retail store manager makes comty cloth facemasks for his employees during covid.
He has enough money to buy $100 worth of fabric.
Fabric costs $4 for a single layer mask and $6 for a mask with 2 layers of fabric.
It takes him 30 minutes to make a single layer mask and 1 hour to make double layer mask.
He only has 15 hours available to work on masks.
He wants to maximise his time and resources.
How many of each type of mask should he make
The system of inequalities for this situation are
Cost inequality = $4x + $6y ≤ $100
Time inequality = 30x + 60 ≤ 900
And the retailer should make 10 single layer and 10 2-layer mask by using the available time and cost.
System of inequalities
When two or more algebraic expressions are compared using the mathematical symbols like <, > ≤, or ≥, then they form an inequality. They are the mathematical expressions in which both sides are not equal.
Given,
A retail store manager makes cotton cloth facemasks for his employees during Covid. He has enough money to buy $100 worth of fabric. Fabric costs $4 for a single layer mask and $6 for a mask with 2 layers of fabric. It takes him 30 minutes to make a single layer mask and 1 hour to make double layer mask. He only has 15 hours available to work on masks. He wants to maximize his time and resources.
Here we need to find the system of inequalities and we also need to find each type of mask should he make.
Let us consider x be the number of single layer mask and y be the number of 2 layer mask.
Then based on the given cost, the cost inequality is written as,
$4x + $6y ≤ $100.
Here we know the time taken for each mask making, so, in the inequality form, it can be written as,
We know that,
1 hour = 60 minutes
So, 15 hours = 900
Therefore, the inequality of time is written as,
30x + 60 ≤ 900
While we plot these values on the graph then we get the graph like the following,
Here the blue line represent the time inequality and the red line represents the cost inequality.
Through the given graph, we have identified that the retailer should make 10 single layer and 10 2 layer mask by using the available time and cost.
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6. The equation S = 50+45w represents the savings, S, after w weeks working and
depositing money into a savings account at the bank.
Determine whether there is a proportional relationship between S and w. Explain or
show your reasoning.
The relationship is not a proportional relationship between S and w.
Saving, S, after w weeks, is represented by the equation
S = 50+45w
If y is proportional to x, then
y ∝ x
y =kx
where k is the constant of proportionality.
Here, no constant term and (0,0) satisfies this equation.
The given equation is
S = 50+45w
Here, we have a constant term.
For S=0 and w=0,
0=50+45×0
0=50
Which is not true as 0 ≠ 50.
Since there is a constant term 50 and the equation is not valid for (0,0), therefore, the given relationship is not a proportional relationship.
I hope this answer helps.
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The roof of a farm silo is the shape of a hemisphere and is made of sheet tin. If the diameter of the silo is 126.5 feet, how
much sheet tin is needed to make the roof? (Use π = 3.1416.)
A. 25,136.3 square feet
B. 25,026.6 square feet
C. 16,755.2 square feet
D. 33,510.2 square feet
The area of tin sheet needed to make the roof is 25,136.3 square feet.
The roof of a farm silo is in the shape of a hemisphere. The roof is made of a sheet of tin. The diameter of the silo is 126.5 feet. Hence, the radius of the hemisphere is half the diameter. The radius is 126.5/2 = 63.25 feet. We need to find the amount of tin sheet required to make the roof. The amount of tin sheet is equal to the area of the roof. The formula for the curved surface area of a hemisphere is given below :
A = 2πr² = 2*3.1416*(63.25)² = 25,136.3
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The Cozo family has 5 children. While on vacation, they went to a play. They bought 5 tickets at the child’s price of $10.25 and 2 tickets at the adult’s price. If they spent a total of $89.15, how much was the price of each adult ticket?
Answer:
$18.95
Step-by-step explanation:
5(10.25) + 2x = 89.15
51.25 + 2x = 89.15 Subtract 51.25 from both sides
2x = 37.90 Divide both sides by 2
x = 18.95
Check:
5(10.25) + 2( 18.95) = 89.15
51.25 + 37.90 = 89.15
89.15 = 89.15
89.15 - 5(10.25)
= 37.9
37.9/2
= 18.95 dollars for each parent
the two-way relative frequency table given shows the results from the lunch orders from an upperclassman picnic. 11th grade 12th grade total salad 12% 6% 18% sandwich 20% 24% 44% soup 8% 30% 38% total 40% 60% 100% a segmented bar chart was created showing the lunch preference by grade. what percentage would the bar for 11th graders show for preferring salad? 67% 40% 30%
The bar for 11th graders show 30% for preferring Salad.
Given, that the lunch orders from an upperclassman picnic.
11th Grade 12th Grade Total
Salad 12% 6% 18%
Sandwich 20% 24% 44%
Soup 8% 30% 38%
Total 40% 60% 100%
To find the relative frequency we divide the frequency by the total.
hence, to find the relative frequency for 11th graders preferring Salad
12/40 = 0.3 = 30%
Hence, the bar for 11th graders show 30% for preferring Salad.
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ABCD is a quadrilateral.
Work out the length of BC.
Give your answer correct to
1 decimal place.
Optional working
Ansv
+
cm
B,
7.5 cm
A
5 cm
38°
D
13 cm
A quadrilateral is a polygon with four sides, the length of BC for the given quadrilateral will be 8.1.
What is quadrilateral?A quadrilateral is a geometrical 2d shape in which there are four sides and each side is connected and makes a close polygon.
In other meaning, a quadrilateral is a kind of polygon in which four sides, for example, rectangle, square, and parallelogram are quadrilateral.
As per the give quadrilateral,
In triangle ACD.
Apply Pythagoras' theorem,
BD = √(5²+7.5²) = 9.0123
In triangle BDC by cosine law,
Cos38° = ((DB)²+(DC)² - (BC)²)/(2×DB×DC)
Cos38° = (9.0123²+13²- (BC)²)/(2×9.0123×13)
Cos38° = (250.25- (BC)²)/(234.32)
(250.25- (BC)²) = 184.646
(BC)² = 65.60
BC = 8.1
Hence, "A quadrilateral is a polygon with four sides, the length of BC for the given quadrilateral will be 8.1".
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Complete question attached below ;
Which equation represents a line which is parallel to the y-axis?
A.x=−4y
B.x=−8
C.y=x−3
D.y=−7
The equation that represents a line which is parallel to the y - axis would be B. x = −8.
Which lines are parallel to the y - axis?When a line is parallel to the y - axis, this means that the line does not cross the y - axis in any way and is both vertical and straight because the y - axis is vertical and straight.
Any line that is parallel to the y - axis will need to be expressed in terms of terms of x because the y axis is expressed in terms of x as x = 0. From the options, the only equation expressed in terms of x is x = -8. This line is therefore parallel to the y - axis.
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HELP ME PLS IM STRUGGLING
1. If 1(-1) for the polynomial f(z) = 2z+z²-5 is-2, can you use the Factor Theorem to find the other factor?
No, because (x+1) is not a factor of the polynomial f(z) = 22 +2²-5,
Yes, because (x + 1) is a factor of all degree 4 polynomials.
No, because-2 is not an irrational number.
Yes, because-2 is the opposite of the leading coefficient of f(z) = 2x¹ +2²-5.
Answer: yes, because -2 is the opposite of the leading coefficient
Step-by-step explanation:
A car completes a journey at an average speed of 40 km/h. At what speed must it travel on the return journey if the average speed for the complete journey (out and back) is 60 km/h?
quickly please!
The answer average speed is120KM/h
What is speed?
The speed of an object, also known as v in common parlance and kinematics, is the size of the change in position per unit of time or the size of the change in position over time; as such, it is a scalar quantity.The average speed of an object in a given period of time is equal to the distance travelled by the object divided by the length of the intervalthe instantaneous speed is the upper limit of the average speed as the length of Velocity and speed are different concepts.
Given in the question a car travels in 40Km/h
Total distance will be 's' = speed * time.
The total round trip avg speed is 60km/h
So time is taken to reach = s/40 hr
And time is taken to return back = s/x hr
The total time is given = 2s/60
We can write 2s/60 = s/40+s/x
⇒ 1/x = 1/30-1/40
⇒1/x = 1/120
⇒x = 120 KM/hour
Hence the, the average speed in the return journey is 120KM/hour.
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graph the following inequality:
Please help thx
The equations y=3+2 and y=2x+1 both will meet at x=3
What is inequality?A difference between two values indicates whether one is smaller, larger, or simply not equal to the other.a b asserts that a and b are not equal.If a b, then a must be less than b.When a > b, an is greater than b. (those two are known as strict inequality)If a and b are divided, a must be smaller than or equal to b.When a and b are together, an is greater than or equal to b.Acc to our question-
Given, 3x−2<2x+1⇒3x−2x<1+2⇒x<3orx∈(−∞,3)The lines y=3x−2 and y=2x+1 both will intersect at x=3 Clearly, the dark line shows the solution of 3x−2<2x+1.Hence,The lines y=3x−2 and y=2x+1 both will intersect at x=3
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on a map, 3/4 inch corresponds to an actual distance of 4 miles. how many square miles of actual area does a 3.5-inches-by-10-inches region of the map represent?
The actual area represented by 3.5-inches-by-10-inches on map is 995.5 miles.
As the measure of 3/4 inch is provided, working out the calculation for 1 inch.
3/4 inch = 4 miles
1 inch = (4×4)/3
1 inch = 16/3
1 inch = 5.33 miles
Now, the actual area of the region = 3.5 × 10
The actual area of the region = 35 inches²
Converting the area in square miles
The actual area of the region = 35 × (5.33)²
Taking square on Right Hand Side of the equation
The actual area of the region = 35 × 28.4
Performing multiplication on Right Hand Side of the equation
The actual area of the region = 995.5 square miles
Thus, the actual area of the region is 995.5 square miles.
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Can anyone answer this question?
The equation of the graph in vertex form is: y = 1x – 3| + 5.
How to Write the Equation of a Graph?The graph in the diagram above is a graph of an absolute value equation. The equation can be expressed as y = a|x – h| + k (vertex form), where the vertex is represented as (h, k).
The vertex of the graph is the coordinate of the point where the two straight lines meet.
Given the graph above, the vertex is at point (3, 5). Therefore:
h = 3
k = 5
The graph opens up, so the value of a = 1.
Substitute h = 3 and k = 5 into y = a|x – h| + k:
y = 1|x – 3| + 5
y = 1x – 3| + 5
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A triangular number is a number that can be represented by arranging the number of dots in rows to form a triangle. The first four triangular numbers are represented in the diagram. Find the mean, median and range of the first 6 triangular numbers.
mean =
Number
median =
Number
range =
Number
The mean of the triangular dots is 4, the median is 8 and the range is 6.
How to determine the Measures of central tendency?
A measure of central tendency is defined as a single value that attempts to describe a set of data by identifying the central position within the given set of data.
From the question, the parameters are dots that will form triangle as
.
. . .
. . . . .
. . . . . . .
Total mumber of dots is 1+3+5+7=16
These parameters are represented as follows:
The mean is the average of all the dots that formed the triangle
Mean value of the set of data = [tex]\frac{16}{4} =4[/tex]
The median is the middle number when arranged in ascending or descending order of magnitude
The median is [tex]\frac{16}{2} =8[/tex]
The range is the highest value minus the lowest value in the dots
The range is 7-1=6
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what is 112/200 as a percentage
Answer:
56%
Step-by-step explanation:
112/200 as a percentage
112/200 = 0.56
0.56 as a percentage:
0.56 * 100 = 56%
Answer::
To do percentages with fractions,
divide the numerator by denominator to get a decimal,
so for example, your question, 112/200
112/200 is 0.56 decimal, and then to make it percent,
we multiply by 100,
how does that work?
you move two places to the right because 100 has two zeros
so 0.56 would be 56,
therefore the percent of 112/200 would be 56%
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The value of k for which the quadratic equation 4s² - 4s + (k - 2) has one real solution is:
k = 16.
What is the discriminant of a quadratic equation and how does it influence the solutions?A quadratic equation is modeled by the rule presented as follows:
y = ax² + bx + c
The discriminant of the quadratic function is given as follows:
Δ = b² - 4ac.
The numeric value of the coefficient and the number of solutions of the quadratic equation is defined as follows:
Δ > 0: two real solutions.Δ = 0: one real solution.Δ < 0: two complex solutions.In this problem, the equation is given as follows:
4x² - 4s + (k - 2) = 0.
Hence the coefficients are given as follows:
a = 4, b = -4, c = k - 2.
Hence the discriminant is:
Δ = (-4)² - 4(4)(k - 2)
Δ = 16 - 16k + 32
Δ = 48 - 3k
It has one real solution if Δ = 0, hence:
48 - 3k = 0
3k = 48
k = 48/3
k = 16.
More can be learned about the discriminant of quadratic equation at https://brainly.com/question/17097611
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Which methods of paying for college do not require repayment? Check all that apply.
