The length of a certain rectangular prism is 3 less than twice the width. The height of the same prism is 4 more than
the width. Write an expression to represent the volume of the rectangular prism in terms of width (w).
V=2w? + 5w-12
V= -2w3 + 11w2 + 12w
V=2w3 +5w? - 12w
В.
С.
D
V=4w + 1

Answer:

y = -3x - 3

Step-by-step explanation:

Subtract 3x both sides

y = -3 - 3x

y = -3x + (-3)

Answer:

Step-by-step explanation:

i think 0.6

Answer:

I Don't know

Step-by-step explanation:

I don't know I don't know I don't know

Answer:

B) -7/4

General Formulas and Concepts:

Algebra I

Slope-Intercept Form: y = mx + b

Step-by-step explanation:

Step 1: Define

Identify.

y = -7/4x + 4

Step 2: Break

Slope m = -7/4

y-intercept b = 4

Answer: x = 22.7

Step-by-step explanation:Based on the given conditions, formulate: 5300x2(x divided by 23) = 10500

Divide both sides of the equation by the coefficient of variable: 2 x/23 = 10500/5300

Reduce the fraction:2 x/23 = 105/53

Convert exponential to logarithm form: x/23 = long^2 105/53

Divide both sides of the equation by the coefficient of variable:x = log^2 105/53 x 23

Rewrite the expression: x = 23 long^2 105/53

Round the number: x = 22.7

Answer: x = 22.7

Answer:

8.40665 cups

Step-by-step explanation:

hope this is helpful!

Answer:

B)   10/15 = 15/22.5

Step-by-step explanation:

For the two triangles, proportions that involve ratios of the corresponding sides are true.

Answer:

I don't know sorry

Step-by-step explanation:

hope it will help you...

Answer:

radius of cylinder = 1 cm

Step-by-step explanation:

Start with the formula for the volume of a cylinder:  V = (pi)r²h, where r is the radius and h is the height.  We want to solve this for the radius, r.

Dividing both sides of the Volume formula (above) by (pi)h, we get:

           V

r² = -----------

        (pi)h  

If we now substitute 12.56 cc for V, 3.14 for pi and 4 cm for h, we get:

          V           12.56 cc

r² = ---------- = ----------------- = 1 cm²

       (pi)h         3.14(4 cm)

Taking the square root of both sides, we get    r = 1 cm

Answer:

y must have a numerical coefficient of 1. This equation does. If it does not, then you must divide through by whatever is in front of the y.

To read the slope, you must have x and its coefficient on opposite sides of the equal sign.

So you get

y = 8x – 12 when you add 8x to both sides

Next, the y intercept is found when x = 0

y = 8x – 12

y = 8(0) – 12

y = – 12

The  y intercept is -12 or in point form (0, – 12)

Answer

slope = 8

y intercept = – 12

Step-by-step explanation:

Answer:

3780 m

Step-by-step explanation:

First, we find the perimeter of the scale drawing.

perimeter = 2(L + W)

perimeter = 2(10.1 cm + 8.8 cm)

perimeter = 2(18.9 cm)

perimeter = 37.8 cm

Now that we have the perimeter of the drawing, we use the scale to find the real perimeter.

1 cm (drawing) = 100 m (real)

37.8 cm × 100 m/cm = 3780 m

Answer: 3780 m

Based on the information given, the number of pencils that should be sold will be 1000 pencils.

Let the number that should be sold be x.

A store owner bought 1500 pencils at $0.10 each. Therefore, the cost price will be:

= 1500 × $0.10 = $150

Profit = Selling price - Cost price

100 = 0.25x - 150

0.25x = 100 + 150

0.25x = 250

x = 250/0.25

x = 1000

Therefore, 1000 pencils should be sold.

Learn more about equations on:

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Answer:

  y = -0.6x +109

Step-by-step explanation:

The slope is given by the formula ...

  m = (y2 -y1)/(x2 -x1)

  m = (88 -94)/(35 -25) = -6/10 = -0.6

The y-intercept is ...

  b = y -mx = 94 -(-0.6)(25) = 109

The equation of the line is ...

  y = mx +b

  y = -0.6x +109

Answer:

domain: x>=0

range: y>=1

Step-by-step explanation:

domain: x>=0

range: y>=1

Answer:66 slower speed

Step-by-step explanation:

Answer:

This is what it would look like. Hope this helps!

Answer:

x < -3

Step-by-step explanation:

2(x-3) < 3(2x+2)

Use the distributive property.

(2× x)-(2×3) < (3 × 2x) + (3×2)

2x-6 < 6x+6

add 6 to both sides

2x < 6x+12

subtract 6x from both sides.

-4x < 12

divide both sides by -4

x < -3

Answer:

Shift "h" units to the right, "k" units up, and reflect over the x or y axis when needed.

Step-by-step explanation:

1) I want to talk about reflections first.

2) Rigid transformations

Example (check image for visual)

We transform [tex]y = x^2[/tex] to [tex]y = -(-x-3)^2+3[/tex] , you move right 3, then reflect across the x-axis, then reflect across y-axis, then move 3 up.

--------------------------------------------------------------------------------------------------------------

Note: In the image, the red line is the original function, the blue one is the transformed function. See if you can follow along with the verbal instructions I gave above.

Answer:

$90 or $60

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

Given Δ ABC is similar to Δ DEF then the ratios of corresponding sides are in proportion, that is

[tex]\frac{EF}{BC}[/tex] = [tex]\frac{DE}{AB}[/tex] , substitute values

[tex]\frac{x}{42}[/tex] = [tex]\frac{5}{30}[/tex] ( cross- multiply )

30x = 5 × 42 = 210 ( divide both sides by 30 )

x = 7

The ratio remains same

[tex]\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{30}{42}[/tex]

[tex]\\ \sf\dashrightarrow \dfrac{5}{x}=\dfrac{15}{21}[/tex]

[tex]\\ \sf\dashrightarrow 15x=105[/tex]

[tex]\\ \sf\dashrightarrow x=7[/tex]

Answer:

It would be 2 (10)

Step-by-step explanation:

If you replace x with 10 then you have a multiplacation problem  and the output of the answer is 20

Answer:

4

Step-by-step explanation:

2x5=10

5-1=4

2(4+1)=10

Answer:

9x+2

Step-by-step explanation:

the inverse of the function is the opposite. 1/9 becomes 9 and negative 2 becomes positive 2

Answer:

first option

Step-by-step explanation:

let y = f(x) and rearrange making x the subject

y = [tex]\frac{1}{9}[/tex] x - 2 ( add 2 to both sides )

y + 2 = [tex]\frac{1}{9}[/tex] x ( multiply through by 9 to clear the fraction )

9y + 18 = x

change y back into terms of x with x = [tex]f^{-1}[/tex] (x) , then

[tex]f^{-1}[/tex] (x) = 9x + 18

Answer:

Explanation

Step-by-step explanation:

If you look closely, every route connected to region 2 could go to either region 1 or 3, which each could go back to region 2 in 3 different formats. For example the top bridge of region 2, could go through region 1, then region 3 then to the middle bridge of region 2. This can happen for all three of the other route when going backs and works for all bridges in region 2.

Answer:

3) 161

Step-by-step explanation:

Indeed this is pretty easy :D

What we need to find is the surface area of the rectangular prism excluding the area of the hole. First, let's find out the width of the box, we can do this by using the area, the length, and the height, and we can write:

[tex]V=lhw[/tex]

(Formula to find the volume of a rectangular prism)

[tex]140=(4)(7)w\\ 140=28w\\ 5=w[/tex]

Now that we have the width, can find the area of the top part of the prism:

[tex](5)(4)=20[/tex]

The area of the top part of the prism is 20, and the circle has 1/4 of the area of that:

[tex]A_{circle} = \frac{A_{top part} }{4}\\ A_{circle} = \frac{20}{4} \\ A_{circle} = 5[/tex]

So the area of the circle is 5. Now we just need to find the surface area of the rectangular prism and subtract that result with the area of the circle:

[tex]A_{circle}=5\\ SA_{rec.pri.}=2(lh+lw+wh)\\ SA_{rec.pri.}=2((4)(7)+(4)(5)+(5)(7))\\ SA_{rec.pri.}=2(28+20+35)\\ SA_{rec.pri.}=2(83)\\ SA_{rec.pri.}=166[/tex]

Subtract these two results...:

[tex]166-5=161[/tex]

And we are done!

Answer:

Step-by-step explanation:

Domain is all the x's on the graph. The graph does go from -3 to 4 (not including the -3 but including the 4). Pay attention to the use of () as well as [] on the answers. Those answers are not weird coordinates, they are intervals where the first number is the starting place and the second number is the end. Also on the graph one end point is an open circle which means it's not included on the graph and the other endpoint is a darkened circle which means it is included. The range is all the y's. It does go from -3 to 3. Increasing means the graph is going up from left to right and decreasing means the graph is going down left to right. The graph is positive when it is above the x-axis and negative when its below the x-axis. It seems like ALL of the statements about the graph are true.

Answer:

-4

Step-by-step explanation:

3x(x + 4) = 135

3x² + 12x = 135

3x² + 12x - 135 = 0

On dividing by 3

x² + 4x - 45 = 0

x² + (9x - 5x) - 45 = 0

x² + 9x - 5x - 45 = 0

x(x + 9) - 5(x + 9) = 0

(x + 9)(x - 5) = 0

x = 5 & -9

Sum = -9 + 5

Sum = -4

The sum of the solutions of the given quadratic equation will be -4.

An algebraic equation of the second degree in x is a quadratic equation. The quadratic equation is written as ax2 + bx + c = 0, where x is the variable, and a must not be zero.

As per the given equation,

⇒ 3x(x + 4) = 135

Multiply the 3x as,

3x² + 12x = 135

3x² + 12x - 135 = 0

Divide the above equation by 3 as

3x²/3 + 12x/3 - 135/3 = 0

x² + 4x - 45 = 0

x² + 9x - 5x - 45 = 0

x(x + 9) - 5(x + 9) = 0

(x - 5)(x + 9) = 0

x = 5 and x = -9

Therefore the sum will be -9 + 5 = -4

Hence "The total of the quadratic equation's answers will be -4".

For more about the quadratic equation,

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Answer:

see explanation

Step-by-step explanation:

Calculate the slope m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (- 5, 4 ) and (x₂, y₂ ) = (2, - 3 )

m = [tex]\frac{-3-4}{2-(-5)}[/tex]

Her error was subtracting 5 from 2 instead of - 5 from 2

m = [tex]\frac{-7}{2+5}[/tex] = [tex]\frac{-7}{7}[/tex] = - 1 ← corrected solution

Answer:

Step-by-step explanation:

The perimeter is multiplied by the scale factor:

  image perimeter = 3 × original perimeter = 3×12 = 36 units

The area is multiplied by the square of the scale factor:

  image area = 3² × original area = 9×6 = 54 square units