Which expression is equivalent to 5(4x + 3)

Answer:  y = (1/3)x - 5

This is the same as writing [tex]y = \frac{1}{3}x-5[/tex]

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Explanation:

Assume we have a linear pattern matching the form y = mx+b.

The first row has x = 12 lead to y = -1

The second row has x = 3 lead to y = -4

This produces the two points (12,-1) and (3,-4)

Let's find the slope through those points.

m = (y2-y1)/(x2-x1)

m = (-4-(-1))/(3-12)

m = (-4+1)/(3-12)

m = -3/(-9)

m = 1/3

The slope is 1/3.

The y intercept is b = -5 since x = 0 leads to y = -5

We go from y = mx+b to y = (1/3)x - 5

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To verify we have the correct equation, plug in each left side value as x values.

Let's try x = 12

y = (1/3)x - 5

y = (1/3)*12 - 5

y = 4 - 5

y = -1

This shows that the input x = 12 maps to the output y = -1

i.e.  12 ↦ −1 is the case here.

Repeat for x = 3

y = (1/3)x - 5

y = (1/3)*3 - 5

y = 1 - 5

y = -4

We can see that 3 ↦ −4 occurs.

I'll let you check the others, but you should find that the other mappings hold true as well. Therefore, the answer has been fully confirmed.

Answer:

it vertically compressed it by 2

Step-by-step explanation:

I attached a pic of the graph so u can see ! blue is the parent function and red is the transformation and u can see the red line gets smaller !! i use the app wabbit which is a calculator app and u can only get it on android just added that just incase u wanted to have it for urself !

Answer:

15000mm³.

Step-by-step explanation:

Solution,

According to the question,

15cm³ → mm³

Then ,

15 × 1000 ( 1000 mm³ = cm³ )

= 15000mm³.

Answer:

2835 its basically multiple

Answer:

[tex]\sqrt[3]{6}[/tex]≈1.817

Step-by-step explanation:

I used my calculator

type 3 and then [tex]\sqrt[x]{}[/tex] 6

Answer:

it was long 4cm because 4/100 meters is like 4cm/100cm. 1 meter is 100cm so thats why

Answer: 27 degrees

Step-by-step explanation:

there are 128 fluid ounces in 1 gallon, that means that 25 gallons is 25 * 128 = 3200 ounces.

so if we know that for 20 ounces is 3.54, how much will it be for 3200 ounces?

[tex]\begin{array}{ccll} \$ & oz\\ \cline{1-2} 3.54 & 20\\ x& 3200 \end{array} \implies \cfrac{3.54}{x}=\cfrac{20}{3200}\implies \cfrac{3.54}{x}=\cfrac{1}{160}\implies 566.4=x[/tex]

Answer:

[tex]y= \frac{5}{9}x - 2[/tex]

Step-by-step explanation:

Let's write the equation in the slope-intercept form! In the slope-intercept form, y= mx +c, m is the slope and c is the y-intercept.

[tex]\textcolor{blueviolet}{\text{\textcircled{1} Find \: the \: slope}}[/tex]

[tex]\boxed{ slope = \frac{y _{1} - y_2 }{x_1 - x_2} }[/tex]

where (x₁, y₁) is the first coordinate and (x₂, y₂) is the second coordinate

Slope

[tex] = \frac{ - 2 - ( - 7)}{0 - ( - 9)} [/tex]

[tex] = \frac{ - 2 + 7}{0 + 9} [/tex]

[tex] = \frac{5}{9} [/tex]

[tex]\textcolor{blueviolet}{\text{\textcircled{2} Substitute \: value \: of \: slope}}[/tex]

[tex]y = \frac{5}{9} x + c[/tex]

[tex]\textcolor{blueviolet}{\text{\textcircled{3} Substitute \: a \: pair \: of \: coordinates}}[/tex]

When x= 0, y= -2,

[tex] - 2 = \frac{5}{9} (0) + c[/tex]

c= -2

[tex]\textcolor{blueviolet}{\text{\textcircled{4} Substitute \: value \: of \: c}}[/tex]

[tex]\bf y= \frac{5}{9}x - 2[/tex]

Answer:

3

Step-by-step explanation:

Look in picture for information;

~Learn with Lenvy~

Answer:X=-1/2

Step-by-step explanation:

Answer:

Figure 2 and Figure 1 are scaled copies

Figure 2 is twice as High and Wide

Figure 4 is 1/4 as tall.

Step-by-step explanation:

Answer: 1

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

[tex]x + 17 = - 2x + 23 \\ \\ x + 2x = 23 - 17 \\ \\ 3x = 6 \\ \\ x = \frac{6}{3} \\ \\ x = 2[/tex]

Answer:

x = 2

Step-by-step explanation:

First, we will move all the xs to one side and everything else to the other side.

x + 17 = -2x + 23

+2x       +2x

-17         -17

This gives us:

x + 2x = 23-17

Then we can just combine like terms:

3x = 6

And divide both sides by three:

x = 2

Answer:

Step-by-step explanation:

27

Answer:

1 kg, 0.8 kg, 1.6 kg

Step-by-step explanation:

Add up each part in the ratio

5 + 4 + 8 = 17

Divide the mass of the alloy by 17

3.4/17 = 0.2

To find out how much of each metal is in the alloy multiply 0.2kg by how many parts of it are in the alloy.

Nickel - 5 parts

0.2 x 5 = 1 kg

Zinc - 4 parts

0.2 x 4 = 0.8 kg

Copper - 8 parts

0.2 x 8 = 1.6 kg

Answer:

Step-by-step explanation:

5x+4x+8x=3.4

17x=3.4

x=0.2

Nickel 1 kg

Zinc 0.8 kg

Copper 1.6 kg

Hope this helped :D

Answer:

71

Step-by-step explanation:

I think because it's not at 70 and it's not at 80 so 71 because it's between 70 and 80

Answer:

5% of a number is equal to 9.

Let the number be " x "

Then ,

[tex]\bold{5\% \: of \: x = 9} \\ \\ \bold\purple{ \frac{5}{100} \times x = 9} \\ \\ \bold{5x = 900 }\\ \\ \bold{x = \cancel\frac{900}{5}} \\ \\\fbox\pink{\ x = 180}[/tex]

hope helpful ~

Answer:

[tex]\displaystyle 180[/tex]

Step-by-step explanation:

Convert [tex]\displaystyle 5\%[/tex]to a fraction and divide nine by it:

[tex]\displaystyle 9 = 5\%{n} \hookrightarrow \frac{9}{\frac{1}{20}} = \frac{\frac{1}{20}n}{\frac{1}{20}} \\ \\ \boxed{180 = n}[/tex]

I am joyous to assist you at any time.

Answer:

Step-by-step explanation:

The room's width should remain unchanged at 300 inches.

If the question is asking room of the same area but length shortened to 10 inches, then the answer is 400*300/`10 = 12000 inches.

One thing the question lacking (The area of both room is same).

[tex]\\ \rm\rightarrowtail 400(300)=390x[/tex]

[tex]\\ \rm\rightarrowtail 120000=390x[/tex]

[tex]\\ \rm\rightarrowtail x=307.69[/tex]

Answer:

21

Step-by-step explanation:

AB = BC GIVEN

X+5=2X-11

X=16

HENCE AB=X+5=16

Usando algebra, veremos que cada estudiante debe aportar $5.00.

En el caso en el que hay 25 estudiantes, cada uno aporta $4.00, entonces la cantidad total que se colecta es:

25*$4.00 = $100

Ahora, en el caso de que hay 20 estudiantes, cada uno aportara una cantidad x, de tal forma que:

20*x = $100

Debemos resolver la ecuación de arriba para x:

x = $100/20 = $5.00

Es decir cada estudiante debe aportar $5.00

Sí quiero aprender más sobre algebra, puedes leer:

https://brainly.com/question/24999712

Answer:

Solve 2 1/3 divided by 3 1/2.

Step-by-step explanation:

Answer:

g = 5

Step-by-step explanation:

Combine like terms on the left side.

9g - g + 4g -8g = 4g

4g - 2 = 18

Add 2 to both sides.

4g = 20

Divide both sides by 4.

g = 5

Answer:

The discounted price is 10 Dirhams

Step-by-step explanation:

75% of 40 dhs

0.75 of 40 dhs

0.75 × 40 dhs = 30 dhs

40 dhs - 30 dhs = 10 dhs

Answer:

30 Dirhams

Step-by-step explanation:

Step-by-step explanation:

-7-(-7)

=-7+7

=0

1-(-3)

=1+3

=4

Answer:

7x+9y

Step-by-step explanation:

5x-x

=4x

4x+3x

=7x

7y+2y

=9y

Answer:

Hello

49 can be expressed as the sum of first 7 odd numbers

1+3+5+7+9+11+13=49

Hope it helps You..

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

A quadratic function looks like a U, which is called a parabola.

Answer:

Yuseph would win the race because he has the highest speed and will run 400m in 60 seconds

Step-by-step explanation:

Race = 400m

julze can run 25 meters in 4 seconds

= 400m / 25m × 4 seconds

= 16 × 4

= 64 seconds

alex can run 60 meters in 10 seconds

= 400m / 60m × 10 seconds

= 6.67 × 10

= 66.7 seconds

Yuseph can run 100 meters in 15 seconds

= 400/100 × 15 seconds

= 4 × 15

= 60 seconds

jaheim can run 6.5 meters

Yuseph would win the race because he has the highest speed and will run 400m in 60 seconds