If y = 4x + 3 is changed to y = 7x-1, how would the graph of the new function compare with the first
one? Describe its steepness and how it might shift.

Step-by-step explanation:

[tex] \tt{3x + 8 = 2x - 8}[/tex]

We want to get all the constants on the right hand side of the equation. So , Add 8 on both sides of the equation.

⤏ [tex] \tt{3x + 8 + 8= 2x - 8 + 8}[/tex]

⤏ [tex] \tt{3x + 16 = 2x}[/tex]

Move 2x to left hand side and change it's sign. Similarly , Move 16 to right hand side and change it's sign :

⤏ [tex] \tt{3x - 2x = - 16}[/tex]

Since , 3x and 2x are like terms , they can be added or subtracted. Subtract 2x from 3x :

⤏ [tex] \sf{x = - 16}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{x = - 16}}}}}}}[/tex]

Hope I helped ! ♡

Have a wonderful day / night ! ツ

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Answer:

x = 45.6

Step-by-step explanation:

NOTE: Please double-check my answer.

To find x, I used Sine Law.

[tex]\frac{x + 5}{sin65}[/tex] = [tex]\frac{x}{sin40}[/tex]

(x+5)sin40 = xsin65

xsin40+ 5sin40 = xsin65

xsin40 - xsin65 = -5sin40

x(sin40 - sin65) = -5sin40    (I factored out the "x")

x = [tex]\frac{-5sin40}{sin40 - sin65}[/tex]

x = [tex]\frac{-3.725565802}{0.74511316 - 0.826828679}[/tex]

x = 45.6

Step-by-step explanation:

[tex] \tt{4 {x}^{2} + 7x - 3 - (2 {x}^{2} + 3x - 1)}[/tex]

While subtracting , the sign of each and every term of second expression changes.

⤏ [tex] \tt{4 {x}^{2} + 7x - 3 - 2 {x}^{2} - 3x + 1}[/tex]

Combine like terms. Like terms are those which have the same base. Only coefficients of like terms can be added or subtracted.

⤏ [tex] \tt{4 {x}^{2} - 2 {x}^{2} + 7x - 3x - 3 + 1}[/tex]

⤏ [tex] \tt{2 {x}^{2} + 4x - 2}[/tex]

[tex] \red{ \boxed{ \boxed{ \tt{Our \: final \: answer : \boxed{ \underline{ \tt{ \: 2 {x}^{2} + 4x - 2}}}}}}}[/tex]

Hope I helped ! ツ

Have a wonderful day / night ! ♡

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Answer:answer is b

Step-by-step explanation:it’s miles per hour not hours per mile

Answer:

two hundred thirty-six thousandths

Step-by-step explanation:

Answer:

Step-by-step explanation:

brainliest

Answer:

156°

Step-by-step explanation:

Answer:

the answer is $3

Step-by-step explanation:

I just looked it up lol

No, you can’t multiply a monomial and binomial together and have a product of a monomial.

Answer:

C: 75%

Step-by-step explanation:

27 out of 36 are red.  You find the percentage by diving 27 by 36 and then moving the decimal place over to the right 2 spaces.  27 / 36 = .75

SHDHSB SSHD EUDXD EJDJXJEX SJDJWIDIJDWN SSHWIJJSJ

Step-by-step explanation:

XJDUXIDB DUDUU

Answer:

For 1 copy it takes 5 seconds, for 2 copy it takes 7 seconds, and for 3 copy it takes 9 seconds.

For each copy, it takes 2 seconds more.

Step-by-step explanation:

A teacher is making multiple copies of a 1-page homework assignment. The time it takes her in seconds is 2 times the number of copies she makes plus 3. What is the total number of seconds it takes for the teacher to make 1 copy? 2 copies? 3 copies? By how many seconds does the total time increase for each copy?

Let the number of copies represented by x and y is the time taken.

The time It takes her in seconds is 2 times the number of copies she makes plus 3.

So the required equation is [tex]y=2x+3[/tex].

To calculate the time taken for the first copy put x=1 in the above equation.

[tex]y=2(1)+3[/tex]

[tex]y=5[/tex]

To calculate the time taken for the first copy put x=2 in the above equation.

[tex]y=2(2)+3[/tex]

[tex]y=7[/tex]

To calculate the time taken for the first copy put x=3 in the above equation.

[tex]y=2(3)+3[/tex]

[tex]y=9[/tex]

Hence, For each copy, it takes 2 seconds more.

Step-by-step explanation:

96/x =48%/100

48x=9600

x=9600/48

x=200 cakes

Answer:

y=-2x+2

Step-by-step explanation:

Just follow the slope-intercept form formula-

Formula: y= mx+b

Key:

y = y-coordinate

m = slope

x = x-coordinate

b = y-intercept

Feel free to ask if you have any questions, hope this helps!(:

Answer:

t ≤ − 4

Step-by-step explanation:

Answer: t ≤ -4

Step-by-step explanation:

rearrange the problem 24-(-6*t)≤0  Pull out like factors :24 + 6t  =   6 • (t + 4)

Divide both sides by 6    Subtract  4  from both sides t ≤ -4

Answer:

The diagonal stripes would require a total of 34 feet of tape.

Step-by-step explanation:

You have six hypotenuses, and you can use the Pythagorean theorem to get their lengths.

The total length of the two big diagonals then is:

2×√(36 + 36)

and the total length of the four small diagonals is

4 ×√(9 + 9)

so the total length is:

2√72 + 4√18

= 12√2 + 12√2

= 24√2

≈ 33.9

Answer:

the graph is misleading because it uses 3-dimensional bars

Answer:

[tex]A=15\ cm^2[/tex]

Step-by-step explanation:

Given that,

The height of the cuboid = 6 cm

The volume of the cuboid = 90 cm²

We need to find the area of the shaded face.

The volume of a cuboid is given by the formula as follows :

[tex]V=A\times h[/tex]

A is area of the shaded face

Putting all the values,

[tex]A=\dfrac{V}{h}\\\\A=\dfrac{90}{6}\\\\A=15\ cm^2[/tex]

So, the area of the shaded face is [tex]15\ cm^2[/tex].

Answer:

the value of x is 25 degrees

Step-by-step explanation:

Here, we want to get the value of x

we use an important triangle angular principle here

And the principle is that when we add two opposite interior angles, we get the value of the exterior angle on the third side

Thus, mathematically;

x + 75 = 4x

4x-x = 75

3x = 75

x = 75/3

x = 25 degrees

Answer:

It would be D as they are not congruent as they are to different angles

Step-by-step explanation:

Answer:

123 if your going to the nearest whole number

Step-by-step explanation:

Since

6 : 7 = X : 143

Then we know

6/7 = X/143

Multiplying both sides by 143 cancels on the right

143 × (6/7) = (X/143) × 143

143 × (6/7) = X

Then solving for X

X = 143 × (6/7)

X = 122.57142857143

Therefore

6 : 7 = 122.57142857143 : 143

Answer:

This is too confusing

Step-by-step explanation:

I don't know how to answer this properly sorry

Answer:

2*2=4

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

to find the number of couches in the partially filled truck, divide 119 by 9

119/9 = 13.2222

so 13 cars will contain 9 couches packed fully

number of trucks partially filled = 119 - (13 x 9) = 2