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djverab [1.8K]
3 years ago
9

Use substitution method & show your work.y = x^2 + 3x - 14x + 1 = y

Mathematics
1 answer:
irina1246 [14]3 years ago
7 0
4x + 1 = x^2 + 3x - 1
4x = x^2 + 3x - 2
0 = x^2 -x - 2
0 = x^2 -x + 1 - 3
0 = (x - 1)^2 - 3
3 = (x - 1)^2
sqrt 3=(x-1) and (-(x-1))
x = 1+sqrt 3 and 1-sqrt 3
sqrt means square root
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A rectangular prism has a length of 20 in a width of 2 in and a height of 3 1/4 in the prism is filled with cubes that have edge
Zinaida [17]
You can express the edge lengths in terms of "cubes" or you divide the total volume by the volume of a cube. It works either way.

Edge lengths are
.. 80 cubes by 8 cutes by 13 cubes
so total volume is
.. (80 * 8 * 13) = 8320 cubes


In cubic inches, the volume is
.. (20 in)*(2 in)*(3 1/4 in) = 130 in^3.
The volume of a 1/4-in cube is (1/4 in)^3 = 1/64 in^3.
Then the number of cubes that will fit in the prism is
.. (130 in^3)/(1/64 in^3) = 8320 . . . . cubes

8320 cubes are needed to fill the rectangular prism.
7 0
3 years ago
Absolute value inequality<br>4 |x+7| divided by 3. ?
stira [4]

Answer:

4 |x+7| divided by 3.

Step-by-step explanation:

This cannot be divided any further.

3 0
3 years ago
Find the perimeter of the composite figure.
iVinArrow [24]

Answer:

87.92

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4 0
3 years ago
Oranges cost $3.60 per dozen how much does 1 cost?
castortr0y [4]

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There is no set of pound in a gallon because we do not know the substance. Different liquids weigh different amounts.

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3.5 * 128 = 448

Pound and pints are like gallons and pound. Unless we know the substance we cannot solve.

.75 pints is equal to 12 ounces. To find that, we multiply the number of pints (.75) by the number of ounces in a pint (16)

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6 0
3 years ago
What is the area of the figure?<br><br> 40 ft2<br> 84 ft2<br> 96 ft2<br> can't be determined
mina [271]

Answer:

A=80\ ft^2

Step-by-step explanation:

we know that

The area of the figure is equal to the area of an isosceles triangle (has two equal sides) plus the area of a rectangle

step 1

Find the area of the triangle

The area of the triangle is equal to

A=\frac{1}{2}bh

we have

b=16\ ft

To find out the height of the triangle Apply the Pythagorean Theorem

10^2=(16/2)^2+h^2

solve for h

100=64+h^2

h^2=100-64

h^2=36

h=6\ ft

<em>Find the area of triangle</em>

A=\frac{1}{2}(16)(6)

A=48\ ft^2

step 2

Find the area of rectangle

The area of rectangle is equal to

A=LW

we have

L=16\ ft\\W=2\ ft

substitute

A=(16)(2)=32\ ft^2

step 3

Find the area of the figure

Adds the areas

A=48+32=80\ ft^2

5 0
3 years ago
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