Answers
[tex]a=-5(-3)-2=13\\\\b=-5(-1)-2=3\\\\c=-5(1)-2=-7\\\\d=-5(2)-2=-12[/tex]
Answer:
A = 13 B = 3 C = -7 D = -12
Step-by-step explanation:
Just insert the x values for a, b, c, and d. for example if we were to find a.
The x value for a is -3 so we would put -3 in place of x in the equation.
-5(-3) - 2
Remember: Two negative numbers multiplied with each other equal a positive.
15 - 2 = 13
Related Questions
what is the anewers to -9(1/2x-3)=
Answers
The expression -9(1/2x-3) is -9/2x + 27.
What is Algebra?A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.
Variables are the name given to these symbols because they lack set values.
In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.
Given:
-9(1/2x-3)
Now, solving the above expression as
-9 x 1/2x= -9/2x
-9(-3)= +27
So, -9(1/2x-3) = -9/2x + 27
Hence, the expression is -9/2x + 27.
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what is the probability that at least nine out of 12 cars have an acceptable emissions level? (round your answer to three decimal places.)
Answers
The probability that at least nine out of 12 cars have an acceptable emissions level is 0.333.
What is probability?The branch of mathematics which deals with the analysis of random phenomena is called probability. The probability of an event is defined as the ratio of favorable events to the total number of events.
P(E) = F(E)/T(E)
Where P(E) = probability of an event which occur\
F(E) = Number of favorable events
T(E)= Total number of events
Here given that the total number of cars T(E) =12
And the number of cars that have acceptable emissions level F(E) = 4
Hence Probability that at least nine cars have an acceptable emission level
=4/12
= 1/3
= 0.333
The probability that at least nine out of 12 cars have an acceptable emissions level is 0.333.
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the average monthly rent for one-bedroom apartments in a particular city has been $770. because of a downturn in the real estate market, it is believed that there has been a decrease in the average rental. which is the correct hypotheses to be tested?
Answers
The set of values for Rents lesser than $700. So, rent 700 <y<0
Hypothesis.Though there is not so much information, but the fact that $700 is an average. We can work with two hypothesis at first, he first Hypothesis before the downturn the rent are over $700. And the second one, the bedroom rent are under $700.1) Graphically, the shaded area before the downturn, represents the set of values for Rents greater than $700. So, rent (y) > 7002) Graphically, the shaded area after the downturn, represents the set of values for Rents lesser than $700. So, rent 700 <y<0A hypothesis is an educated prediction regarding the solution to a scientific question that is supported by sound reasoning. It is the expected result of the experiment, however it is not proof in an experiment. Depending on the information received, it might be supported or might not be supported at all.learn more about hypothesis click here:
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Identify the correct property of equality to solve each equation. 3 x = 27 x 6 = 5
Answers
The correct property of equality to solve each equation. 3 + x = 27 and x + 6 = 5 is subtraction property of equality.
The property of equality defines an equivalence relationship between two variables. The subtraction property of equality refers to the property that two sides of the equation remain equal when the same number is subtracted from both sides of an equation. According to the subtraction property of equality, if two quantities a and b are equal, and if c is subtracted from both a and b, then the difference of a and c and the difference of b and c are equal. Hence, if a = b, a – c = b – c. Using the subtraction property of equality:
3 + x = 27
3 + x -3 = 27 - 3
x = 24
Similarly,
x + 6 – 6 = 5 – 6
x = -1
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Answer:
3+x=27
✔ subtraction property of equality with 3
x/6 = 5
✔ multiplication property of equality with 6
Step-by-step explanation:
how heavy a load (in pounds) is needed to pull apart pieces of douglas fir 4 inches long and 1.5 inches square? data from students doing a laboratory exercise are given.
Answers
With the help of binomial distribution we can conclude our answer.
What is binomial distribution?The binomial distribution with parameters n and p is the discrete probability distribution of the number of successes in a series of n independent experiments, each asking a yes-or-no question and having its own Boolean-valued outcome: success (with probability p) or failure (with probability displaystyle q=1-pq=1-p). This distribution is used in probability theory and statistics. A Bernoulli trial, or experiment, is another name for a single success-or-failure experiment, and a Bernoulli process is another name for a series of results. For a single trial, or n = 1, the binomial distribution is a Bernoulli distribution. The popular binomial test of statistical significance is based on the binomial distribution. [1]A sample of size n drawn with replacement from is widely used to model the number of successes using the binomial distribution.acc to our question-
The confidence interval can be found out using,
Confidence interval = Mean ± MOE = 30,800 ± 1,314.8079 = 29,485.192 , 32,114.8Hence, the confidence interval for the mean load required to pull the wood apart is (29,485.192 , 32,114.8).
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what is the difference between -3 and 10
Answers
Answer:
13
Step-by-step explanation:
-3-10, or 10+3 is equal to 13
Answer:
13
Step-by-step explanation:
-3+13=10
1.A recipe for salad dressing calls for three parts oil for every one part vinegar. How many tablespoons of oil are vinegar are needed to make 1/2 cup salad dressing?
Answers
Answer:
4 to 7 percent.
Step-by-step explanation:
We use the traditional oil-to-vinegar ratio: three parts oil to one part vinegar/acid, but this ratio can vary depending on your choice of vinegar/acid and personal taste. The less acidic the vinegar/acid, the less oil you need. It's all about balance!
f(x) = x2. What is g(x)?
g(x)
f(x) = x2
(4,1)
O A. g(x) = 1x2
9(x) = (3)
O B. 9(x) =
O ) (1)
C. g(x) =
( D. (x) = 42
Answers
The value of g(x) = 1/16[tex]x^{2}[/tex] = (1/4[tex]x^{2}[/tex]). The correct option is (C).
Given,
In the question:
f(x) = [tex]x^{2}[/tex]
To find the value of g(x)
To see the graph and analysis
Now, According to the question:
We know that:
g(x) = k f(x) = k[tex]x^{2}[/tex]
In the graph, The value are given as:
Plug (4,1) into g(x):
1 = k. [tex]4^2[/tex]
k = 1/16
=> g(x) = 1/16[tex]x^{2}[/tex] = (1/4[tex]x^{2}[/tex])
Hence, The value of g(x) = 1/16[tex]x^{2}[/tex] = (1/4[tex]x^{2}[/tex]). The correct option is (C).
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Round 112.511 off each number to two (2) Decimal Place
Answers
This is because the third decimal place is lower than 5, therefore it will round down and the second decimal place will stay at 1
Question 2(Multiple Choice Worth 1 points)
(02.05 MC)
Choose the table that represents g(x) = -2xf(x) when f(x) = x + 4.
Answers
The correct table is :
x g(x)
1 -10
2 -12
3 -14
Given, f(x) = x+4
and g(x) = -2.f(x)
we check for x = 1
f(x) = 1+4
= 5
now g(x) = -2.f(x)
= -2(5)
= -10
for x=2
f(x) = 2+4
= 6
now g(x) = -2.f(x)
= -2(6)
= -12
for x=3
f(x) = 3+4
= 7
now g(x) = -2.f(x)
= -2(7)
= -14
Hence we get the required values.
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Answer:
C
Step-by-step explanation:
see the other dudes answer im jus making it easier to see and select for kids who have to hide the fact that they're cheating on their FLVS
Direct or Inverse variation
3y=x
{(2,6),(3,9),(5,15)}
{(1,16),(2,8),(4,4)}
Answers
The answers are as follows -
Relation 3y=x represents direct variation.Relation {(2,6),(3,9),(5,15)} represents direct variation.Relation - {(1,16),(2,8),(4,4)} reflects inverse relation.What is the general equation of a Straight line?
The general equation of a straight line is -
[y] = [m]x + [c]
where -
[m] is slope of line which tells the unit rate of change of [y] with respect to [x].
[c] is the y - intercept i.e. the point where the graph cuts the [y] axis.
y = mx also represents direct proportionality. We can write [m] as -
m = y/x
OR
y₁/x₁ = y₂/x₂
Given are the following relations -
3y = x
{(2,6),(3,9),(5,15)}
{(1,16),(2,8),(4,4)}
We can write -
x = 3y
as
y = (1/3)x
m = 1/3
Relation 3y=x represents direct variation.
For the relation - {(2,6),(3,9),(5,15)}, we can write -
We can write it as -
y = 3x
Relation {(2,6),(3,9),(5,15)} represents direct variation.
For the relation - {(1,16),(2,8),(4,4)} , as [x] increases, [y] decreases, so it is a inverse relation.
Therefore -
Relation 3y=x represents direct variation.Relation {(2,6),(3,9),(5,15)} represents direct variation.Relation - {(1,16),(2,8),(4,4)} reflects inverse relation.To solve more questions on proportional relationship, visit the link below-
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Explain why AB and AC are equal in length
Answers
Answer:
see explanation
Step-by-step explanation:
the sum of the 3 angles in the triangle = 180°
∠ B + 72° + 36° = 180°
∠ B + 108° = 180° ( subtract 108° from both sides )
∠ B = 72°
Then
∠ B = ∠ C = 72°
this means the 2 base angles in Δ ABC are congruent , then the triangle is isosceles with the 2 legs being congruent , that is
AB = AC
Two trains are 525 miles apart heading toward each other on parallel tracks. Train A is traveling east at 30 miles per hour, while Train B travels west at 45 miles per hour. When will the trains pass each other?
Answers
The two trains will pass each other after 7 hours.
Both trains need to cover a distance of 525 miles before they cross each other.
We know, d = s × t
where d ⇒ total distance travelled
s ⇒ speed of the train
t ⇒ time taken for both trains to meet
For train A,
s = 30 miles per hour
Distance covered by train A in t hours = 30 × t
For train B,
s = 45 miles per hour
Distance covered by train B in t hours = 45 × t
As the total distance is 525 miles,
30t + 45t = 525
75t = 525
t = 7 hours
Hence, the trains will pass each other after 7 hours.
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The population of a state was estimated to be
about 38,332,521 people. Write the estimated
population as a single digit times a power of 10.
Answers
The state population as a single-digit time power of 10 is approximately 4 × 10⁷.
What is estimation?Calculations are made easier and more realistic when a number is estimated, which is a plausible estimation of its true value.
To estimate something is to approximate it as accurately as possible.
To acquire a quick and approximate response is obtained by rounding down the values used in the computation.
Given the state estimated population = 38,332,521
Divide and multiply by 10
So,
= 3,833,252.1 × 10¹
= 383,325.21 × 10²
So, similarly, we can write
= 3.8332521 × 10⁷
So, we can write the state population as approximately 4 × 10⁷
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A regular polygon has 16 sides. If one of its angles measures (5h − 29)°, what is the value of h?
Answers
Answer:10.3
Step-by-step explanation:
16(5h-29)=360
80h-464=360
80h-464+464=360+464
80h/80=824/80
h=10.3
What is the image of (-1,7) after a reflection over the line y = x
Answers
The image of (-1,7) after a reflection over the line y = x is (7, -1).
What is a line of reflection?
When reflecting a figure in a line or a point, the image and preimage coincide. A reflection converts each point in a figure from a point to an image via a set line. The reflection line is the name given to the fixed line.
Here, we have
Image : (-1.7)
Now,
Reflect over the line y = x:
When reflecting a point across the line y = x, the x-coordinate, and y-coordinate change places.
Thus, the point (-1,7) maps to the point (7,-1) when reflected over y=x.
Hence, The image of (-1,7) after a reflection over the line y = x is (7, -1).
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Answers
The length and width of a rectangle that maximises the enclosed area are 800 yards. The maximum area is 640,000 square yards.
In the given question we have to find the maximum area of the rectangular area.
Liana has 3200 yards of fencing to enclose a rectangle.
As we know that the perimeter of rectangle
P= 2(l+b)
Let length of the rectangle is x yards and width is y yards.
So the equation should be
2(x+y) = 3200
Divide by 2 on both side we get
x+y = 1600................(1)
From the area of rectangle is
A = xy
From the equation the value of y is 1600-x.
Now putting the value of y
A = x(1600-x)
A = 1600x-x^2
On differentiating
dA/dx = 1600-2x
Putting dA/dx=0
1600-2x=0
Subtract 1600 on both side we get
-2x= -1600
Divide by -2 on both side we get
x = 800 yards
Now putting the value of x in the y=1600-x
y=1600-800
y=800 yards
So the maximum area is
A= 800*800
A= 640,000 square yards
Hence, the length and width of a rectangle that maximises the enclosed area are 800 yards. 640,000 square yards is the maximum area.
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Which shape has exactly 4 lines of symmetry?
Answers
Answer:
Step-by-step explanation:
its a square so choose the yellow square.
The equation P = 6.31H + 41.5 can be used to predict the points earned P, buy a student on an organic chemistry final, based on the number of hours H, that he, or she studies. To earn 95 points on the final, how many hours does the model suggest someone should study?
Answers
The number of hours it is suggested to study is 8.5 hours using the concept of the equation.
What are equations?Equations are logical assertions in mathematics that have two algebraic expressions on either side of an equals (=) sign. LHS = RHS (left-hand side = right-hand side) appears in all mathematical equations. The value of an unknown variable, or unknown quantity, can be determined by solving equations.
Given,
The given linear equation P = 6.31H + 41.5, is used to predict the points earned P.
Also P = 95,
Now, we will find the value of H by using LHS=RHS
95 = 6.31H+41.5
Subtract 41.5 from both sides,
53.5 = 6.31H
Now, divide both sides by 6.31,
8.5 = H
Therefore, the number of hours it is suggested to study is 8.5 hours.
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Which function matches the table? Number of Days Rented 1 2 3 4 Rental Cost ($) 12 17 22 27 A. f(x) = 5x B. f(x) = 5 + 5x C. f(x) = 7 + 5x D. f(x) = 12 + 5x
Answers
Then the equation that represents the total rent will be y = 5x + 7. Then the correct option is C.
What is a linear equation?A connection between a number of variables results in a linear model when a graph is displayed. The variable will have a degree of one.
The linear equation is given as,
y = mx + c
Where m is the slope of the line and c is the y-intercept of the line.
The table is given below.
Number of Days Rented Rental Cost ($)
1 12
2 17
3 22
4 27
At x = 1, the value of y is 12.
12 = m + c ...1
At x = 2, the value of y is 17.
17 = 2m + c ...2
Subtraction equation 1 from equation 1, then we have
2m - m = 17 - 12
m = 5
Then the value of 'c' is given as,
17 = 2 x 5 + c
17 = 10 + c
c = 7
Then the equation that represents the total rent will be y = 5x + 7. Then the correct option is C.
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NEED HELP ASAP!!!!!!!!!!!!!!
Answers
The number of solutions each polynomial has is 1, 5 and 3
What is a polynomial?In mathematics, a polynomial is an equation made up of coefficients and indeterminates, sometimes referred to as variables. Only addition, subtraction, multiplication, and powers of positive-integer variables may be used to solve it. An example of a polynomial with one undetermined x is x2 4x + 7.
Polynomials are often employed in both mathematics and science. In fundamental chemistry and physics, economics, and social science, for example, they are used to define polynomial functions. They are also employed in calculus and numerical analysis to approximate other functions. From straightforward word problems to intricate scientific conundrums, polynomial equations are utilized to represent a broad variety of topics. polynomials' usage in complex maths.
The number of solutions of a polynomial is equal to the highest degree of the polynomial.
So,
1) y = -6x -9
Has 1 solution as highest degree = 1
2) y = 2x⁵-x⁴ +2x³-6x²+2x+4
Has 5 solutions as highest degree = 5
3) y = -4x³-10x² +7x+5
Has 3 solutions as highest degree = 3
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kendra ran 12 miles in 60 minutes. if the ratio of miles to minutes is constant how many more miles can she run in 90 minutes than in 60 minutes
Answers
Answer:
it is 18 mile
Step-by-step explanation:
12mile = 60 min
x = 90 min
we cris cross the equation and
we found x=18 mile
A grocery store has salmon fillets on sale for $8.30 per pound. Mrs.patrolia buys
Answers
not sure how much she bought, but all you’d have to do is multiply the cost of salmon fillets ($8.30) times the amount she bought.
Example: if Mrs. Patrolia bought 3 pounds it would be $8.30 x 3.
Please help, the blue dot is random
Answers
The equation would be 5(x + 3) = 45
To solve:
1) Distribute 5 to x and then 5 to 3
2) That gives you this equation: 5x + 15 = 45
3) Then subtract 15 from both sides
4) You should get this: 5x = 30
5) Then divide 5/5 and 30/5 to isolate the x
6) The answer should be: x = 6
Have a good day/night :)
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Answers
The length of the rectangular area is 800 yards and width is 800 yards
The perimeter of the rectangular area = 3200 yards
The perimeter of the rectangle = 2 (l + w)
Then the equation will be
2(l + w) = 3200
l + w = 3200 / 2
l + w = 1600 yards
w = 1600 - l
The area of the rectangular area = l × w
= l(1600 - l)
Since the area is maximizing the the rate of change of area will be zero
l × w = 0
1600 - 2l = 0
2l = 1600
l = 1600/2
l = 800 yards
Then
w = 1600 - l
Substitute the value of l in the equation
w = 1600 - 800
w = 800 yards
Hence, the length of the rectangular area is 800 yards and width is 800 yards
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Find the slope of the following graph
Answers
Answer:
3/2x
Step-by-step explanation:
The area of a square foot ball field is
16900cm². calculate the length of the field.
Answers
AREA OF A SQUARE= LENGTH* LENGTH
16900= L²
TAKE THE SQUARE ROOTS OF BOTH SIDES
√16900 =√L²
L= 130
THEREFORE THE LENGTH OF THE FIELD IS 130cm.
can someone help me really quick
Answers
Answer:
18$
Step-by-step explanation:
this is so i can reach twenty characters.
Patricia’s brother Kevin likes his lemonade. Best way to use a ratio of 3 tablespoons of lemon juice to 24 ounces of water. Does Kevin favorite lemonade juice taste the same as Patricia
Answers
Kevin favorite lemonade juice can't taste the same as Patricia's.
What is ratio?Ratio demonstrates how many times one number can fit into another number. Ratios contrast two numbers by ordinarily dividing them. A/B will be the formula if one is comparing one data point (A) to another data point (B).
1 table spoon = 0.5 ounce
Therefore, 24 ounces will be:
= 24 × 0.5
= 12 tablespoon
In this case, they have different tablespoon and therefore won't have same taste.
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a man 6 ft tall walks at the rate of 5 ftsec toward a streetlight that is 16 ft above the ground. at what rate is the length of his shadow changing when he is 10 ft from the base of the light?
Answers
The rate at which length of shadow of person changing is 3 ft /sec.
What is meant by time rate?The literal formula for the relationship between distance, rate, and time is distance=rate×time=rtH = Height of streetlight; 16 ft
h = Height of man; 6 ft
x = Length of man's shadow.
s = Distance from streetlight to man.
Using the similarities of the triangles.
H/h = (s + x)/x
Hx = h(s + x)
Differentiate with respect to 't' on both sides.
H(dx/dt) = h(ds/dt + dx/dt)
Put the values.
16(dx/dt) = 6(5 + dx/dt)
16(dx/dt) = 30 + 5dx/dt
10dx/dt = 30
dx/dt = 3 ft /sec
Thus, the rate at which length of shadow of person changing is 3 ft /sec.
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