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2 years ago

Let a Δ b = (a+b)2+5. what is 1 Δ - 4?

Mathematics

1 answer:

Arturiano [62]2 years ago

5 0

It looks like ∆ is defined as

a ∆ b = (a + b)² + 5

If that's the case, then

1 ∆ (-4) = (1 + (-4))² + 5 = (-3)² + 5 = 9 + 5 = 14

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Find the formula for an exponential function that passes through the two points give.

Ksenya-84 [330]

Answer:

$y=3(2)^{x}$

Step-by-step explanation:

Given.

Two points are given.

$(x, y)=(-1,\frac{3}{2})$ and $(x, y)=(3,24)$

An exponential function is in the general form.

$y=a(b)^{x}$ -------(1)

We know the points $(-1,\frac{3}{2})$ and $(3,24)$

put the first point value in equation 1

$\frac{3}{2}=a(b)^{-1}$

$\frac{3}{2}=\frac{a}{b}$

$a=\frac{3}{2}\times b$ --------(2)

put the second point value in equation 1

$24=a(b)^{3}$ ----------(3)

Put the a value from equation 2 to equation 3

$24=\frac{3}{2}\times b(b)^{3}$

$b^{3+1}=\frac{24\times 2}{3}$

$b^{4} = 16\\b=\sqrt[4]{16} \\b=2$

Put the b value in equation 2

$a=\frac{3}{2}\times 2$

$a=3$

Put the a and b value in equation 1

$y=3(2)^{x}$

So, the exponential function that passes through the points $(-1,\frac{3}{2})$ and $(3,24))$ are $y=3(2)^{x}$ .

6 0

2 years ago

Mike makes 4 dozen cookies. He brings 75% of them for a party at his school. How many did he bring?

baherus [9]

Answer:

He brought 3 dozen cookies

She ate $\frac{2}{5}$ of the bag of Doritos

She read 25 books

Step-by-step explanation:

∵ Mike makes 4 dozen cookies

∵ He brings 75% of them for a party at his school

- Multiply 75% by 4

∵ 75% = $\frac{75}{100}=\frac{3}{4}$

∴ He brought = $\frac{3}{4}$ × 4

∴ He brought = 3

He brought 3 dozen cookies

∵ Sam bought a bag of Doritos

∵ She ate only 40% of them

∵ 40% = $\frac{40}{100}=\frac{2}{5}$

∴ She ate = $\frac{2}{5}$ × 1

∴ She ate = $\frac{2}{5}$

She ate $\frac{2}{5}$ of the bag of Doritos

∵ Jamie took 50 books from the library

∵ She only read half of her whole stack

- Multiply half by 50

∴ She read = $\frac{1}{2}$ × 50

∴ She read = 25

She read 25 books

3 0

3 years ago

The circumference of Circle F is 72 cm. What is the length of Arc DE (the minor arc)?

Tom [10]

You need to first set up the equation:

It would look like 90 divided by 360 multiplied by the given circumference which is 72 cm.

So 90 / 360 x 72

Simply the fraction above, it will give us:

¼ x 72

So the answer would be 18 cm that is the length of DE (minor arc)

4 0

3 years ago

Read 2 more answers

Which equation would you use to find the distance between the two points?

navik [9.2K]

The answer is because of the distance between the two please make me the Brainliest!! :)))

8 1

2 years ago

Find the area of the complex figure.

Rzqust [24]

To find the area of this figure, there is two choices
1. cut it into 3 rectangles.
2.find the missing rectangle in the middle......
I likes 2 better $_$ :}

find the missing area in the middle, 12* 23 = 276
the area of the whole figure 31*69-276=1863m²

4 0

2 years ago