Answer:
-7
Step-by-step explanation:
y=3x-7
x=0 ⇒ y= 3*0-7= -7
x+y=23 and 10x+24y=426 can be used to determine the number of small and large boxes shipped where x represents the number of small boxes and y represent the number of large boxes.
Step-by-step explanation:
Given,
Volume of small box = 10 cubic feet
Volume of large box = 24 cubic feet
Total boxes shipped = 23
Combined volume = 426 cubic feet
Let,
x represent the number of small boxes.
y represent the number of large boxes.
x+y=23
10x+24y=426
x+y=23 and 10x+24y=426 can be used to determine the number of small and large boxes shipped where x represents the number of small boxes and y represent the number of large boxes.
Keywords: linear equation, addition
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Answer:
Slope Intercept Form is y=2x.
Step-by-step explanation:
Since slope-intercept form is y=mx+b, you need to rewrite 2x-y=0 in Slope-Intercept Form.
First, you want to subtract 2x from both sides. That comes out to -y = (-2x.)
Then, multiply each term by -1. A negative times another negative is a possitive, so -y would become y, and -2x would become 2x, giving you the answer of y=2x.
Answer:C
Step-by-step explanation:
Because the inverse only gets applied to what you are inputting in the parentheses of the function.
Answer:
<em>Option D: 159 3/8 cm^3 </em>
Step-by-step explanation:
1. Let us rewrite the dimensions, and the options to make this a little more clear ~ (dimensions) 5 cm, 8 1/2 cm, 3 3/4 cm ⇒ (options) 17 1/4 cm^3, 18 3/4 cm^3, 27 1/4 cm^3, and 159 3/8 cm^3
2. To find the volume of most 3-dimensional figures, you would have to multiply the Base * height, so for a rectagular prism ⇒ <em>Base * height = length * width * height</em>
3. Substitute and compute the volume through algebra:
5 cm * 8 1/2 cm * 3 3/4 cm =
5 cm * 17/2 cm * 15/4 cm =
85/2 cm^2 * 15/4 cm =
1275/8 cm^3 =
<em>159 3/8 cm^3</em>
4. This means that the<em> Volume of the Rectangular Prism = 159 3/8 cm^3 (Option D)</em>