Answer:
Step-by-step explanation:
A) y = 2x – 7 and f(x) = 7 – 2x
Incorrect. These equations look similar but are not the same. The first has a slope of 2 and a y-intercept of −7. The second function has a slope of −2 and a y-intercept of 7. It slopes in the opposite direction. They do not produce the same graph, so they are not the same function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.
B) 3x = y – 2 and f(x) = 3x – 2
Incorrect. These equations represent two different functions. If you rewrite the first equation in terms of y, you’ll find the equation of the function is y = 3x + 2. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.
C) f(x) = 3x2 + 5 and y = 3x2 + 5
Correct. The expressions that follow f(x) = and y = are the same, so these are two different ways to write the same function: f(x) = 3x2 + 5 and y = 3x2 + 5.
D) None of the above
Incorrect. Look at the expressions that follow f(x) = and y =. If the expressions are the same, then the equations represent the same exact function. The correct answer is f(x) = 3x2 + 5 and y = 3x2 + 5.
-2.5 (4x-3)
combine like terms to create and equivalent expression
Answer:
-10x+7.5
Step-by-step explanation:
Angle C and angle D are vertical angles with m angle C = -x + 26 and m angle D = 2x - 10.
What is m angle D?
Answer:
m∠D = 14
Step-by-step explanation:
According to the vertical angle theorem, both of these angles are congruent.
This means that they are equal (m∠C = m∠D) and we can solve for x:
m∠C = m∠D
-x + 26 = 2x - 10 (substitute in the equations)
-3x + 26 = -10 (subtract 2x from both sides)
-3x = -36 (subtract 26 from both sides)
x = 12 (divide both sides by -3)
Now that we know what x is, we can find m∠D by plugging it back into the equation:
m∠D = 2x - 10
m∠D = 2(12) - 10 (substitute the value for x in)
m∠D = 24 - 10
m∠D = 14
The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
Vertically opposite angle - When two lines intersect, then their opposite angles are equal.
Angle C and angle D are vertical angles with m∠C = -x + 26 and m∠D = 2x - 10.
∠C = ∠D
-x + 26 = 2x - 10
3x = 36
x = 12
Then the measure of the angle D will be
m∠D = 2x - 10
m∠D = 2(12) - 10
m∠D = 24 - 10
m∠D = 14°
The value of the variable 'x' will be 12. Then the measure of the angle D will be 14°.
More about the angled link is given below.
https://brainly.com/question/15767203
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Which linear equation has no solution?
Answer:
4x+7=3x+7
Step-by-step explanation:
4x+(7-7)=3x+(7-7)
4x=3x
a. How did you find each square root?
Answer:
by multiplying the same number twice
Step-by-step explanation:
example :
1 × 1 = 1
2×2 = 4
3×3 = 9
and so on....
what is the quotient of 3/5 and 2/3
Answer:
The quotient of 3/5 and 2/3 is 9/10
Explanation:
3/5 divided by 2/3 is 9/10
Or a easier way to divide fractions is this way:
3/5 divided by 2/3 = ?
Flip the second fraction (from 2/3 to 3/2)
And then multiply:
3/5 x 3/2 = 9/10
(Simplify if needed but in this problem there is no need to simplify)
Find m angle Y
(6x – 23)
(4х + 9)
m angle Y = ?
a
54
b
34
C
73
d
16
Answer:
m<y= 34
Step-by-step explanation...
6x-23=4x+9
2x=32
x=16
m<y+m<z=180
m<y=73+73=180
m<y=34
An isosceles triangle is a two-dimensional figure which has two equal sides and the two angles opposite to the equal sides are equal.
The sum of the three angles is equal to 180 degrees.
The value of angle m∠Y is 34°.
Option B is the correct answer.
What is a triangle?It is a two-dimensional figure which has three sides and the sum of the three angles is equal to 180 degrees.
We have,
Isosceles triangle:
Two sides are equal.
The angles opposite to the equal sides are also equal.
So,
From the figure we have,
6x - 23 = 4x + 9
Add 23 on both sides.
6x - 23 + 23 = 4x + 9 + 23
6x = 4x + 32
Subtract 4x on both sides.
6x - 4x = 4x + 32 - 4x
2x = 32
Divide both sides by 2.
x = 32/2
x = 16
The sum of the three angles of the Isosceles triangle given must be 180 degrees.
6x - 23 + 4x + 9 + m∠Y = 180
Put x = 16
6x16 - 23 + 4x16 + 9 + m∠Y = 180
96 - 23 + 64 + 9 + m∠Y = 180
146 + m∠Y = 180
Subtract 146 on both sides.
m∠Y = 180 - 146
m∠Y = 34
Thus,
The value of angle m∠Y is 34°.
Option B is the correct answer.
Learn more about triangles here:
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Which shows a difference of squares?
10 y squared minus 4 x squared
16 y squared minus x squared
8 x squared minus 40 x + 25
64 x squared minus 48 x + 9
Answer:
8x^2 - 40x + 25
Step-by-step explanation:
The terms that show a difference of squares are given by:
10y² - 4x²
16y² - x²
What is a difference of squares?It is when the square of two terms are subtracted, in the following format:
[tex]a^2 - b^2[/tex]
In this problem, the first two items are difference of squares, as:
[tex]10y^2 - 4x^2 = (\sqrt{10}y)^2 - (2x)^2[/tex]
[tex]16y^2 - x^2 = (4y)^2 - x^2[/tex]
More can be learned about difference of squares at https://brainly.com/question/24673551
The LCM of 4 and 7 is ______.
28 is the LCM of 4 and 7 as 4*7 = 28
Answer:
The LCM of 4 and 7 would come out to 28.
A field's length l(x), in feet, can be represented by the expression x+10 and its width w(x), in feet, can be represented by the expression x+15. Which function represents its area?
A) x^2+25x+150
B) 4x+50
C) 2x+25
D) x^2+10x+150
Answer:
A) x^2+25x+150
Step-by-step explanation:
Area = length x width
A = (x + 10) x (x + 15)
A = x^2 + 25x + 150
is 7m-2=8m+4-m an identity?
which equation represents a line parallel to the line y-5x=-6
Step-by-step explanation:
Coefficients before x and y should be equal to coefficients before x1 and y1 on every equation of lines that are parallel to the given line
General formula for them should be y-5x=b where b is every number we want.
So one of them could be y-5x=0 or y-5x=2 ...
NEED HELP IM BEGGING YOU PLEASE !!!!!!
Step-by-step explanation:
what help do you need????
Answer:
i believe the answer is 569/115
Many bank accounts never go below zero. But some banks will allow a negative balance, at least for a short time, called an overdraft. It means someone has taken out, or 'drafted', more money than was in the account to begin with. David's account went into overdraft. To get back to a positive balance, he deposited money at a steady rate of $20.06 per week. After 8 weeks, he had $122.46 in the account. What was the balance when the account went into overdraft?
Answer:
The balance when the account went into overdraft was -38.02
Step-by-step explanation:
Let x be the balance when the account went into overdraft
To get back to a positive balance he deposited money at a steady rate of $20.06 per week.
Amount deposited per week = $20.06
Amount deposited 8 weeks = [tex]20.06 \times 8 =160.48[/tex]
Now amount in account after 8 weeks =x+160.48
We are given that After 8 weeks, he had $122.46 in the account.
So,x+160.48=122.46
x=122.46-160.48
x=-38.02
Hence The balance when the account went into overdraft was -38.02
What is the answer to
0.04 is 1/10 of _____
Answer:
.4
Step-by-step explanation:
Answer:
.0003, .04, .02, 2 4
Step-by-step explanation:
hope it helps
Mrs. Ryan’s making lemonade she has 3/4 gal of water she uses 1/6 to make lemonade how many whole glass can she make
Answer: 2
Step-by-step explanation: She have to keep change flip
2x + 7 = - 4x + 11
what’s the answer?
Answer:x=2/3
Step-by-step explanation:
There are 18 classes at Jerome Elementary. There are 23 students in each class.
Select all of the expressions that are not good ways to use compatible numbers
to estimate the number of students at Jerome Elementary.
A. 18 x 23
B. 20 x 20
<
C. 20 x 25
D. 10 x 20
E. 18 x 25
3 of 8 Answered
Answer:
b
c
d
e
Step-by-step explanation:
Joshua decides to use synthetic division to find the the quotient of (equation provided above).
What value from the divisor should he write in front of the coefficients?
Answer:
the value to be written is -2
Step-by-step explanation:
The first thing we will do here is to set the divisor equals to zero
The divisor is the denominator
Thus, we have x + 2 = 0
This indicates that x = -2
The term to be written in front of the coefficients is -2
Answer:
73.75
Step-by-step explanation:
comment and heart if this was helpful
2-(3x-4)=-15 is this true or false
Answer:
I believe it is false. Have a great day and good luck! also super sorry if this answer ends up being wrong :/
Step-by-step explanation:
6x=2x+-16 Same as the others I tried and I failed. :(
the side length of a square is equal to?
a) the square of its area
b) the square root of its area
c) its area
d) half of its area
Answer:
half of the area
Step-by-step explanation:
i am not sure
Answer:
b
Step-by-step explanation
help ill mark u as brainlist
Answer:
C
Step-by-step explanation:
(C) 12.5 if u need any help ask me.
Answer:
[tex]x = 112.5....... \: i.e \: option \: b.[/tex]
Step-by-step explanation:
[tex]first \: you \: need \: to \: write \: the \: statement \: \\ as \: a \: mathematical\: \: expession \: i.e : \\ if \: y \: \alpha \: x \\ y \: = kx \\ k = \frac{y}{x} \\ when \: y \: = 12.5 \: and \: x \: = \: 37.5 \: then : \\ k = \frac{12.5}{37.5} \\ \\ x = \frac{y}{k} = \frac{y}{ \frac{12.5}{37.5} } = \frac{y}{1} \div \frac{12.5}{37.5} = \frac{y}{1} \times \frac{37.5}{12.5} \\ \\ x = \frac{37.5y}{12.5} \\ \\ when \: y = 37.5 \: x \: will \: be : \\ x = \frac{37.5 \times 37.5}{12.5} = 112.5[/tex]
What is the slope of the line represented by the points in the table?
Answer:
.05
Step-by-step explanation:
PLEASE HELP i’m being timed!!!
Solve the system by using a matrix equation.
6x-9y=3 3x-4y=7
Answer:
a
Step-by-step explanation:
Answer:
A. (17,11)
I just did the quiz on edgen.uity
The number of girls in a class varies directly with the number of boys in the class. If a class contains seven boys and 21 girls, how many girls are in a class with 11 boys?
Answer:
17
Step-by-step explanation:
what is the value of x when
5x+20=6x+35
Answer:
x=15 or 15=x hope this helps
One model for car depreciation is as follows, where Cis the original cost, Vis the value of the car after tyears, and ris the rate
of depreciation
V= (1-1)
If the original cost of the car was $21,000 and the rate of depreciation is 15%, what will be the value of the car after 5 years?
[Round to the nearest dollar.]
A. $17,850
B. $3,150
C. $9,318
D. $19,472
Given:
Original cost of car = $21000
Rate of depreciation = 15% = 0.15
Time = 5 years
To find:
The value of car after 5 years.
Solution:
Consider the model for car depreciation is
[tex]V=C(1-r)^t[/tex]
where, C is the original cost, V is the value of the car after t years, and r is the rate of depreciation.
Substitute C=21000, r=0.15 and t=5 in the above model.
[tex]V=21000(1-0.15)^5[/tex]
[tex]V=21000(0.85)^5[/tex]
[tex]V=21000(0.4437)[/tex]
[tex]V=9317.7[/tex]
[tex]V\approx 9318[/tex]
The value of car after 5 years is $9318. Therefore, the correct option is C.
Use substitution to solve the system.
x = 3y +7
3x + 4y = 8
Answer:
x=4, y=-1
Step-by-step explanation:
x=3y +7. equation 1
3x+4y=8. equation 2
substitute equation 1 into equation 2
3 (3y +7)+4y =8
9y+21+4y=8
13y+ 21=8
13y=8-21
y=-13/13
y=-1
substitute the value of y into equation 1
x=3(-1)+7
x=-3+7
x=4
I truly don’t understand how I got this wrong
Answer:
m= -1
Step-by-step explanation:
A graph that is y=x or y = -x should be easy to spot, but (0,2) and (2,0) make a -x line.
Help and hurry please!!
In the 2000 Summer Olympics, Michael Johnson ran the 400-meter race in 43.84 seconds. To the nearest hundredth, what was his speed in meters per second?
a.
9.12 m/s
c.
1.09 m/s
b.
10.96 m/s
d.
91.24 m/s
Please select the best answer from the choices provided
a
Step-by-step explanation: