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3 years ago

Which relation is a function

Mathematics

2 answers:

Alla [95]3 years ago

8 0

Every x value should have only one value of y.
So the answer is the last choice.

lisov135 [29]3 years ago

3 0

Every x value should have only one value of y.

So the answer is the last choice.

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A rectangular piece of metal is 25 in longer than it is wide. Squares with sides 5 in long are cut from the four corners and the

Licemer1 [7]

Answer:

The original length was 41 inches and the original width was 16 inches

Step-by-step explanation:

Let

x ----> the original length of the piece of metal

y ----> the original width of the piece of metal

we know that

When squares with sides 5 in long are cut from the four corners and the flaps are folded upward to form an open box

The dimensions of the box are

$L=(x-10)\ in\\W=(y-10)\ in\\H=5\ in$

The volume of the box is equal to

$V=(x-10)(y-10)5$

$V=930\ in^3$

$930=(x-10)(y-10)5$

simplify

$186=(x-10)(y-10)$ -----> equation A

Remember that

The piece of metal is 25 in longer than it is wide

$x=y+25$ ----> equation B

substitute equation B in equation A

$186=(y+25-10)(y-10)$

solve for y

$186=(y+15)(y-10)\\186=y^2-10y+15y-150\\y^2+5y-336=0$

Solve the quadratic equation by graphing

using a graphing tool

The solution is y=16

see the attached figure

Find the value of x

$x=16+25=41$

therefore

The original length was 41 inches and the original width was 16 inches

3 0

3 years ago

What is the total volume of the solid?

matrenka [14]

Answer:3028

Step-by-step explanation:

3 0

3 years ago

√7.5×√3.5 step and answer

irina1246 [14]

Answer:

√105/2

Step-by-step explanation:

Given the surd expression √7.5×√3.5, this can also be expressed as;

√7.5×√3.5

= √75/10 × √35/10

= √(75×35)/10×`10

=√105×25/100

= 5√105/√100

=5√105/10

=√105/2

Hence the required expression a √105/2

4 0

3 years ago

The polygons in each pair are similar. Find the missing side length / first one has 4 &x and second one has 12&18

sergiy2304 [10]

Answer:

x = 6

Step-by-step explanation:

To find the missing side, write a proportion using side lengths from each similar shape. A proportion is an equation that sets equal two ratios.

$\frac{4}{12}=\frac{x}{18}$

Find x by cross multiplying numerator and denominator of each fraction.

4(18) = 12x

72 = 12x

6 = x

4 0

3 years ago

Calculate the values of the expression below 2 ( 3 (5 + 2) -1)<br>

Otrada [13]

Answer:

= 40

Step-by-step explanation:

2 ( 3 (5 + 2) -1)

= 2 * 20

= 40

7 0

3 years ago

Read 2 more answers