Answers
Answer: 2 complex solutions; the discriminant is less than zero
Step-by-step explanation:
When the D<0 there are no real solutions because the quadratic does not intercept the x-axis on the graph.
Related Questions
If the ratio of A to B is 3 : 4, and the ratio of B to C is 2 : 3, what is the value of A when C is 5?
Answers
If the ratio of A to B is [tex]3 : 4[/tex], and the ratio of B to C is [tex]2 : 3[/tex], then the value of A when C is [tex]5[/tex] is [tex]2.5[/tex].
In the given question,
The ratio of A to B is [tex]3 : 4[/tex].
The ratio of B to C is [tex]2:3[/tex].
We have to find the value of A.
It is given that the value of C is [tex]5[/tex].
The given ratios are,
A : B [tex]=3 : 4[/tex]
B : C [tex]=2:3[/tex]
As we can see that the ratio of B is not same in both ratio so we first equal the ratio of B.
We can equal the ratio of B by multiplying [tex]2[/tex] on both side in the ratio of
B : C.
B : C [tex]=2\times2:3\times2[/tex]
After multiplying we get
B : C [tex]=4:6[/tex]
As given in the question that C [tex]=5[/tex].
They given in the ratio which means there have any number in the multiple of ratio. That which we can get real value from the ratio.
So we used [tex]x[/tex] as a multiple of ratio.
And the ratio of C is [tex]6x[/tex].
So we get that
[tex]6x=5[/tex]
Hence the value of [tex]x=\frac{5}{6}[/tex].
Now finding the value of A.
The ratio of A is [tex]3x[/tex].
And the value of [tex]x=\frac{5}{6}[/tex].
Now putting the value
A [tex]=3\times\frac{5}{6}[/tex]
A [tex]=\frac{5}{2}[/tex]
A =[tex]2.5[/tex].
The value of A is [tex]2.5[/tex].
Hence, if the ratio of A to B is [tex]3 : 4[/tex], and the ratio of B to C is [tex]2 : 3[/tex], then the value of A when C is [tex]5[/tex] is [tex]2.5[/tex].
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How do you find the area of a circle
Answers
Explanation:
The area of a circle can be calculated as:
[tex]\text{Area}=\pi\times r^2[/tex]Where π is approximately 3.14 and r is the radius of the circle.
So, if we have a circle of radius equals 4 ft, the area will be equal to:
[tex]\begin{gathered} \text{Area = 3.14}\times(4ft)^2 \\ \text{Area = 3.14}\times16ft^2 \\ \text{Area}=50.24ft^2 \end{gathered}[/tex]Answer: A=πr^2
Step-by-step explanation:
Find the radius
Multiply it by pie
and then square it
A rental car company charges $46.75 per day to rent a car and $0.13 for every mile driven. ximena wants to rent a car, knowing that: she plans to drive 100 miles. she has at most $200 to spend. write and solve an inequality which can be used to determine dd, the number of days ximena can afford to rent while staying within her budget.
Answers
The number of days Ximena can afford to rent while staying within her budget is 4 days.
Given that, a rental car company charges $46.75 per day to rent a car and $0.13 for every mile driven.
What are inequalities?Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.
We know that it costs $0.13 for every mile driven and we plan to drive 100 miles, that means we can set the inequality as:
46.75x + 0.13(100) ≤ 200
46.75x + 13 ≤ 200
Rearranging the inequality so we have the variable alone on one side, we get:
46.75x ≤ 187
Divide both sides by 46.75 to get x alone
x ≤ 4
Hence, the number of days Ximena can afford to rent while staying within her budget is 4 days.
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A revenue function is an equation that shows how much revenue a factory will generate at a given price. Suppose a manufacturer of calculators has determined that, for a particular model of calculator, the revenue function is R = -150p2 +21000p where p is the retail price (in dollars) of the calculator and R = f(p) is the revenue generated from the calculator sales (in dollars). Please graph this equation and tell what is the lowest price at which $600,000 could be earned?
Answers
Answer: heem
Step-by-step explanation:
Answer:
$40/unit
Step-by-step explanation:
See attached graph.
Josie is participating in a charity bike ride. This table and graph represent her
performance during the ride where x is the number of hours Josie rides and y is her
distance from the finish line.
Match the quantity to the correct feature and interpretation.
Hours (x)
0 2 4 6
Kilometers away from finish line (y) 75 50 25 0
Answers
To match the correct features with its interpretation is as follows: Time (hours) = 0,2,4,6 is to 0, 25, 50, 75 (kilometers).
What is distance?Distance is defined as the area covered by a moving object without the influence of direction. The distance of an object is measured in kilometers.
The kilometers that are covered from finish line= (y) 75 50 25 0
The time used to cover the distance= (x)0 2 4 6
Therefore to arrange the features where the distance is away from the finish line;
x= 0 , 2 , 4, 6
y = 0, 25, 50, 75
This is because for every 2 hours, 25 kilometers is being covered as the distance of the bike rider.
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Actually answering what the guy said above me,
the y intercept is 75, the x intercept is 2
If c is a number with no exponent, what is the value of c in the equation below?[tex]\frac{ {4}^{7} }{ {4}^{3} } = {a}^{b} = c[/tex]
Answers
Answer:
c = 256
Explanation:
Given the equation:
[tex]\frac{ {4}^{7} }{ {4}^{3} }={a}^b=c[/tex]We apply the division law of indices to obtain:
[tex]\frac{ {4}^{7} }{ {4}^{3} }={4^{7-3}=4^4=256}[/tex]The value of c is 256.
Y-4=2/3x in slope intercept form
Answers
Answer:
y=2/3x+4
Step-by-step explanation:
(slope intercept form is y=mx+b)
y-4=2/3x
add 4 to each side to isolate y
y=2/3x+4
Answer:y=2/3x+4
Step-by-step explanation: Use the property of addition and add 4 to both sides of the equation and then you find the slope form.
The ratio of Fatima's income to her savings is 4:1. The percentage of money saved by her is:
Answers
ファティマの収入と貯蓄の比率は 4:1 です。彼女が節約したお金のパーセンテージは次のとおりです。
4 x + 2 + x = blank x – 19
Answers
The result of the equation 4 x + 2 + x = x – 19 is - 5.25.
The definition of an equation in algebra is a mathematical statement that demonstrates the equality of two mathematical expressions. For instance, the equation 3x + 5 = 14 consists of the two equations 3x + 5 and 14, which are separated by the 'equal' sign.
There are two kinds of equations: identities and conditional equations. An identity is true for all values of the variables.
Given equation -
4 x + 2 + x = x – 19
Simplify the equation
5x + 2 = x - 19
5x - x = -19 - 2
4x = -21
x = -21 / 4
x = -5.25
Hence, -5.25 is the answer to the equation 4 x + 2 + x = x - 19.
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what is an equation in point-slope form of the line that passes through(-7,1)and(-3,9)
Answers
y-y1=m(x-x1)
To find the slope we can use the formula:
m=y2-y1/x2-x1
We can then insert our values given in the question:
(-7,1)=(x1,y1) and (-3,9)=(x2,y2)
Inserted into the equation becomes:
m = 9-1/-3-(-7)
m = 2
Therefore, our slope equals 2 and we can find the rest of the equation using the aforementioned formula of:
y-y1=m(x-x1)
Insert our values:
y-1 = 2(x-(-7))
y-1 = 2(x+7) <— (negatives make a positive)
We can then multiply what’s inside the bracket by 2:
y-1 = 2x+14
And then to get y alone on the left side we will add 1 to both sides leaving us with:
y=2x+15
Therefore, y=2x+15 is your answer.
a new community wellness complex is being built in hadleyville. the perimeter of the rectangular playing field is 290 yards. the length of the field is 5 yards less than double the width. what are the dimensions of the playing field
Answers
The rectangular playing field's perimeter is 290 yards. The field's length is 5 yards less than its width. The playing field's measurements length and width will be 70 and 75.
Given that,
In Hadleyville, a brand-new community wellness complex is being constructed. The rectangular playing field's perimeter is 290 yards. The field's length is 5 yards less than its width.
We have to find what are the playing field's measurements.
Take the width as x.
Length is x-5.
Perimeter of the rectangle is 2l+2w
290=2l+2w
290=2(x-5)+2x
290=2x-10+2x
290=4x-10
4x=290+10
4x=300
x=300/4
x=75
The length will be x-5=75-5=70
The width will be x=75
Therefore, the playing field's measurements length and width will be 70 and 75.
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what is 5x² - (2x - 3)² ?
Answers
Answer:
x^2+12X-9
Step-by-step explanation:
5x² - (2x - 3)² is x^2+12X-9
Check Consider the expression. 3 3-2 X Y What is the result of applying the quotient of powers rule to the expression? xºy 20 x 15 y -5,3 ly 2²x² --) o 1x8 22; (27,0,0) O Intro Done
Answers
The given expression is
[tex](\frac{x^3y^{-2}}{2^2x^{-5}y^3})^3[/tex]we know that the power of an exponent function can be solved as
[tex](x^y)^z=x^{yz}[/tex]so, exponent 3 will be multiplied with the exponents of the variables in the bracket too.
[tex](\frac{x^{3\times3}y^{-2\times3}}{2^{2\times3}x^{-5\times3}y^{3\times3}})[/tex][tex](\frac{x^9y^{-6}}{2^6x^{-15}y^9})^3[/tex]So, the correct answer is option A.
What is the value of the expression below when x=8x=8 and y=4y=4? 9x-2y 9x−2y
Answers
Answer:
64
Step-by-step explanation:
9(8)-2(4)
72-8=64
Select all the expressions which have 3 as the greatest common factor of the terms.
A. b + 3 + 6c
B. 27n + 66p
C. 38 – 9j + 6k
D. 12x + 75y + 21
E. –32 – 24z
Answers
There are A to E equations. The equation B and D area the equations have 3 as the greatest common factor.
Given that,
There are A to E equations.
We have to find that which equation is having 3 as the greatest common factor.
To check the the greatest common factor we have to multiply by 3.
A. b+3+6c
Divide by 3.
b/3+3/3+6c/3
b/3+1+2c
The equation does not have 3 as the greatest common factor.
B. 27n+66p
Divide by 3
27n/3+66p/3
9n+22p
The equation have 3 as the greatest common factor.
C.38-9j+6k
Divide by 3
38/3-9j/3+6k/3
38/3-3j+2k
The equation does not have 3 as the greatest common factor.
D.12x+75y+21
Divide by 3
12x/3+75y/3+21/3
4x+25y+7
The equation have 3 as the greatest common factor.
E. -32-24z
Divide by 3
-32/3-24z/3
-32/3-8z
The equation does not have 3 as the greatest common factor.
Therefore, The equation B and D area the equations have 3 as the greatest common factor.
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If the speed limit is 80kilometers per hour and Elena’s mom was driving 75 miles per hour was she speeding by how m,uch
Answers
Elena's mom was speeding up by 25.29 miles/h.
What is unit conversion?
Conversion of units is the conversion between different units of measurement for the same quantity.
Given is the speed limit of 80 kilometers per hour.
To convert from kilometers per hour to miles per hour, divide the measurement in km/h by 1.609344.
Therefore, in miles per hour we can write -
80 Km/h = (80/1.609344) = 49.71 miles
75 - 49.71 = 25.29 miles/h
Therefore, Elena's mom was speeding up by 25.29 miles/h.
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Here is a graph of the equation 2y - x = 1.Check if each of these points is a solution to the inequality 2y - x > 1:(0, 2) (8, 1/2) (-6, 3) (-7, -3)
Answers
(0, 2): solution
(8, 1/2): not a solution
(-6, 3): solution
(-7, -3): not a solution
Explanation:To deterien the points that are solution to the inequality 2y - x > 1, we can plot the points on the graph or we check each of the points using the inequality. If statement is correct, then it is a solution.
The given points: (0, 2), (8, 1/2), (-6, 3), (-7, -3)
Inequality: 2y - x > 1
when x = 0, y = 2
2(2) - 0 > 1
4 - 0 > 1
4 > 1 (statement is correct)
Hence, it is a solution
when x = 8, y = 1/2
2(1/2) - 8 > 1
1 - 8 > 1
-7 > 1 (statement isnot correct)
Hence, it isnot a solution
when x = -6, y = 3
2(3) - (-6) > 1
6 + 6 > 1
12 > 1 (statement is correct)
Hence, it is a solution
when x = -7, y = -3
2(-3) - (-7) > 1
-6 + 7 > 1
1 > 1 (statement is not correct)
Hence, it isnot a solution
what is the fraction in decimal form ?19/25choose : 0.76, 1.31, 2.06, 7.6
Answers
We want to write in decimals the following fraction
[tex]\frac{19}{25}[/tex]To write this as a decimal number, first we need to convert the denominator to a power of 10. We can do that by multiplying both the numerator and denominator by 4.
[tex]\frac{19}{25}=\frac{19}{25}\cdot\frac{4}{4}=\frac{19\cdot4}{25\cdot4}=\frac{76}{100}[/tex]Now, we just effectuate the division
[tex]\frac{76}{100}=0.76[/tex]0.76 is our answer.
i need to submit this by tonight, please insert answer in blank area thxx <#
Answers
Answer:
1) 4
2) 12
3)AB
Step-by-step explanation:
1) AC is 8, and since it bisects it is cut in 2
2) With the Pythagorean theorem, we know that side a² x side b² = side c²
so 4² x 9² = c² aka 16x9 = 144
square root bla bla, 12
3) as explained in 1) , it got cut into two, so AB = BC
How to change 40m/s to m/min??
Answers
40m/s = 2400m/min
Step-by-step explanation:multiply the speed value by 60
Rewrite each expression as a single fraction.
A. 3/8 - 1/6
B. 4/5 + 3/5
C. 5/9 - 1/5
In fraction form^
Answers
Answer:
A. 5/24
B. 7/5
C. 16/45
Step-by-step explanation:
hope this helps
given < 1 and 3 prove < 6 and <4
Answers
It is given that ∠1 ≅ ∠3 and ∠1 = ∠4 and ∠3 = ∠6 as of vertically opposite angles, therefore ∠6 ≅ ∠4 too.
What is vertically opposite angles?Vertical angles, also known as vertically opposite angles, are formed when two lines cross each other at an angle that is opposite to it. Angles that are vertically opposite to one another are always equal to one another.
A vertical angle and the angle to which it is adjacent are also supplementary angles; that is, they add up to 180 degrees. As an illustration, if two lines intersect to form an angle, say X=45°, then the opposite angle is also 45°. And angle X's neighbor will have a measure of 180 minus 45, or 135 degrees.
Two lines are said to intersect when they come together at a single point in a plane. They are referred to as parallel lines when they do not intersect anywhere in a plane.
We have given that ∠1 ≅ ∠3
We can see that ∠1 = ∠4 as they are vertically opposite angles.
Also ∠3 = ∠6 as they are vertically opposite angles.
Thus, It is given that ∠1 ≅ ∠3 and ∠1 = ∠4 and ∠3 = ∠6 as of vertically opposite angles, therefore ∠6 ≅ ∠4 too.
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The Andes Mountains are found along the western coast of South America.
Which kind of plate boundary is responsible for this mountain range?
Answers
In a case whereby Andes Mountains are found along the western coast of South America, the kind of plate boundary is responsible for this mountain range is convergent boundary between a continental and oceanic plate.
What is convergent boundary?A convergent boundary can be described the area that can be found around the Earth which allowed the colliding of the lithospheric plates and in this process it is possible for one of the plate to slides beneath the other.
Therefore, in the case above the person is been seen to be at the convergent boundary which involves the action of two or more plates.
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Divide using either synthetic division or long division.
(6x³ +5x² − 3x + 8) ÷ (x − 2)
-
a) 6x² - 7x² - 17x –
26
x-2
b) 6x² + 17x +31 +70
c) 6x³ + 17x² +31x + 70
d) 6x² + 17x +31 +
70
x-2
Answers
On dividing by using long division we get [tex]6x^{2} +17x+31+70[/tex]
The correct option is option b)
What is long division?
An procedure for dividing a polynomial by another polynomial of the same degree or lower is known as polynomial long division
We are given a polynomial [tex]6x^{3}+5x^{2}-3x+8[/tex]
We have to divide this by x-1
We use long division to solve the equation.
Hence the the correct answer is [tex]6x^{2} +17x+31+70[/tex]
The correct option is option b)
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Where is this function positive?
Answers
Answer:
I think the answer is x>= 2
Step-by-step explanation:
count from origin to when the parabola points up; function is
Mr. Apple noticed that an error had been made on his account. The "loss of $800" should have been a "gain of $800." Locate and label both points that represent "a loss of $800" and "a gain of $800" on the number line below. Describe the relationship of these two numbers when zero represents no change (gain or loss). HHHHHHHHH O
Answers
A loss is represented as a negative number (a number less than 0) and a gain is represented by a possitive number (a number grather than 0)
For the given data you get the next graph:
The relationship as 0 is not change is: The loss is a change of $800 being a decrease of the amount in the account. The gain is a change of $800 being a increase of the amount in the account.
Both are changes of $800 but represent different types of changes (increase and decrease)
what is the product of 1 2/3 and -3 1/2
-5 5/6
-3 1/3
3 1/3
5 5/6
Answers
[tex]\huge\text{Hey there!}[/tex]
[tex]\mathsf{1 \dfrac{2}{3}\times -3\dfrac{1}{2}}[/tex]
[tex]\mathsf{= \dfrac{1\times3+2}{3} \times -\dfrac{3\times2+1}{2}}[/tex]
[tex]\mathsf{= \dfrac{3 + 2}{3} \times -\dfrac{6 + 1}{2}}[/tex]
[tex]\mathsf{= \dfrac{5}{3}\times- \dfrac{7}{2}}[/tex]
[tex]\mathsf{= \dfrac{5\times -7}{3\times2}}[/tex]
[tex]\mathsf{= \dfrac{-35}{6}}[/tex]
[tex]\mathsf{= -5\dfrac{5}{6}}[/tex]
[tex]\huge\text{Thus, your answer should be: \mathsf{Option\ A. -5\dfrac{5}{6}}}}\huge\checkmark[/tex][tex]\huge\text{Thus, your answer should be: \mathsf{Option\ A. -5\dfrac{5}{6}}}}\huge\checkmark[/tex]
[tex]\huge\text{Therefore, the answer should be:\boxed{\mathsf{Option \ A. -5\dfrac{5}{6}}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
An angle measures 86.4° more than the measure of its complementary angle. What is the measure of each angle?
Answers
Answer: 88.2 and 1.8 degrees.
Step-by-step explanation: well complementary angles mean it adds up to 90 degrees, so 90-86.4= 3.6. then just take that divided by two, and you get 1.8. so then add the 1.8 to the 86.4 to get 88.2 and 1.8 degrees.
If l\parallel ml∥m, find the value of x. plsss
Answers
The value of x from the corresponding angles is equal to 17.
Corresponding AnglesTo solve this problem and find the value of x, we have to use corresponding angles theorem on this. This states that two angles that corresponds to one another are equal.
This can also be rephrased as “when a line intersects 2 parallel lines, then the corresponding angles in the 2 regions of intersection are congruent”.
Mathematically, this can be represented as
[tex]8x + 20 = 11x - 31\\[/tex]
Let's solve for x
[tex]8x + 20 = 11x - 31\\\\x =17[/tex]
The value of x is equal to 17.
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What is 3x - 6y = 18?
Answers
x = 2y + 6
y = x - 6 / 2
Step-by-step explanation:
3x - 6y = 18
3x = 18 + 6y
divide both sides by 3
