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2 years ago

Decide if the function is an exponential function. If it is state the initial value and the base y=x^2

Mathematics

2 answers:

ivanzaharov [21]2 years ago

6 0

Answer:

Step-by-step explanation:

The exponential function is the function of the form

$y=a\cdot b^x,$

where $b$ is the base and $a$ is the initial value.

The function $y=x^2$ is the quadratic function, which cannot be represented as $y=a\cdot b^x.$ Thus, this function is not exponential.

kozerog [31]2 years ago

3 0

Answer:

The answer is B.

Step-by-step explanation:

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Estimate the product 8.1 x 4.2

Korvikt [17]

Round 8.1 down to 8
Round 4.2 down to 4

8(4)= 32

The estimated product is 32.
Hope this helps!

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2 years ago

Nikos sold muffins at his club's bake sale. He spent $28.50 on supplies. He sold his muffins for $0.75 each, and made a profit o

Arada [10]

He sold 87 muffins.
28.50 / 0.75=38 muffins, thats how much he had to sell to get hes money back on the supplies.
36.75 / 0.75=49 muffins, the profit money equals to 49 muffins, so 38+49=87

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2 years ago

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A rectangular piece of plywood has a diagonal which measures two feet more than the width. The length of the plywood is twice th

icang [17]

Answer:

The length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

Step-by-step explanation:

let l be the length and w be the width of the rectangle respectively;

Diagonal(D) of a rectangle is given by:

$D = \sqrt{l^2+w^2}$ ......[1]

As per the given statement we have;

Diagonal(D) = width + 2

and

$l = 2 \times w$ = 2w

Now, substitute these in [1] we have;

$\sqrt{(2w)^2+w^2} = w+5$

Squaring both the sides we get;

$4w^2+w^2 = (w+2)^2$

$5w^2 = w^2 + 4 + 4w$

$5w^2 -w^2 = 4w + 4$ or

$4w^2= 4w + 4$

Simplify:

$w^2-w-1 =0$ ......[2]

The quadratic equation is in the form of $ax^2+bx+c = 0$

the solution is given by: $x = \frac{-b \pm\sqrt{b^2-4ac}}{2a}$

On comparing with [1] we get

a= 1 , b = -1 and c = -1

Then the solution is:

$w= \frac{-(-1) \pm\sqrt{(-1)^2-4(1)(-1)}}{2(1)}$

$w =\frac{1 \pm\sqrt{1+4}}{2} = \frac{1 \pm\sqrt{5}}{2}$

Simplify:

$w \approx 1.62$ and $w \approx -0.62$

Then, the diagonal D = w+2

For $w \approx 1.62$

$D = 1.62 +2 \approx 3.62$

For $w \approx -0.62$

$D =-0.62 +2 \approx 1.38$

therefore, the length of the plywood's diagonal(to the nearest tenth) is, 3.6 and 1.4

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2 years ago

Simplify 12¹⁶/12⁴ .

Klio2033 [76]

$12^{12}$

subtract 4 from 16.

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2 years ago

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arun had 50 rupees if he had spent 3 by 5 of his money on an alarm clock how much money is he left with him

Snowcat [4.5K]

Answer:

total money=rupees 50

3/5 of 50= rupees 30

money he spent = rupees 30

money he's left with =50-30=20

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2 years ago

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