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2 years ago

60 POINTS PLS HELP!!

Mathematics

2 answers:

Nadya [2.5K]2 years ago

8 0

Answer:

Solution given:

single positive exponent

$\frac{8^{3} }{8}=8^{3-1}=8²$

single positive exponent is 8².

Note:

we have 

$\frac{x^{a}}{x^{b}}=x^{a-b}$

-Dominant- [34]2 years ago

6 0

Answer:

it is 8^2.

Step-by-step explanation:

8 ^ 3 = 8 x 8 x 8

8^3/8 = 8 x 8 x 8 / 8

you cross one 8 on the bottom and the top which leaves you with 8 x 8 or 8^2

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The sum of 3 times a number and another number is 10. The bigger number is 5 more than 2 times the smaller number. What are the

rodikova [14]

Answer:

7 and 1

Step-by-step explanation:

7 0

2 years ago

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

2 years ago

Which function has the largest y - intercept?

lesantik [10]

F(x) is a quadratic. The y intercept, therefore, is equal to the c value.
The y intercept here is -4.
For g(x), you can tell that the y intercept is 0 because that's the value of y when the x value is 0.
For h(x), the chart specifies that when x=0, y=-2, so the y intercept is -2.
Of these three values, 0 is the largest.
Final answer: g(x)

7 0

2 years ago

40 Points please help

insens350 [35]

Answer:

Slope = ⅓ Y-intercept = -2

Step-by-step explanation:

by transforming the equation to y= ⅓x -2

then it becomes Y= ⅓x +(-2)

then you should get m= ⅓ and b = -2

5 0

2 years ago