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2 years ago

Which linear function is represented by a graph with a y-intercept of −16 ? y=−16x+1 y=16x−1 y=x−16 y=x+16

Mathematics

1 answer:

Romashka [77]2 years ago

8 0

Answer:

y = x - 16

Step-by-step explanation:

The y-intercept is the value of the function when x = 0.

If f(x) = x - 16, f(0) = 0 - 16 = -16.

A is wrong, because f(0) = -16(0) + 1 = 0 + 1 = 1.

B is wrong, because f(0) = 16(0) + 1 = 0 + 1 = 1.

D is wrong, because f(0) = 0 + 16 = 16.

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1. Simplify. 5–1(3–2)

konstantin123 [22]

Answer with explanation:

Using following law of indices

$1.x^a \times x^b=x^{a+b}\\\\2. (x^m)^n=x^{mn}\\\\ 3. x^{-n}=\frac{1}{x^n}\\\\4. \frac{x^m}{x^n}=x^{m-n}$

$1.5^{-1}\times 3^{-2}=\frac{1}{5}\times\frac{1}{3^2}\\\\=\frac{1}{5\times9}\\\\=\frac{1}{45}\\\\2. \frac{mn^{-4}}{p^0*q^{-2}}=\frac{mq^2}{n^4}\\\\ 3.0.0042=4.2\times 10^3\\\\4.6.12 \times 10^3=6.12 \times 1000=6120\\\\ 5.0.5 \times(8\times10^5})=\frac{1}{2}\times8 \times 10^5=4\times 10^5\\\\6. (9 \times 10^3)^2=9^2 \times (10^3)^2=81 \times 10^6\\\\7.( \frac{1}{2}a^{-4}\times b^2 )_{a=-2,b=4}{\text{or}}( \frac{1}{2}a^{4}\times b^{-2} )_{a=-2,b=4}=\frac{1}{2}\times (-2)^{-4}\times(4)^2{\text{or}}=\frac{1}{2}\times (-2)^{4}\times(4)^{-2}=\frac{16}{2\times16}=\frac{1}{2}$

$9. (4\times x\times y^2)^3\times (xy)^5=4^3\times x^3\times (y^2)^3\times x^5 \times y^5\\\\=64\times x^{3+5}\times y^{5+6}\\\\=64x^8y^{11}\\\\10.(2\times t^3)^3(0.4\times r)^2=2^3 \times (t^3)^3\times (0.4)^2 \times r^2=8\times t^9 \times 0.16 \times r^2=1.28r^2t^9$

8. A number raised to a negative exponent is negative.

Explaining with the help of few examples

$1.2^{-3}=\frac{1}{2^3}=\frac{1}{8}\\\\ 2.(-3)^{-3}=\frac{1}{(-3)^{3}}=\frac{-1}{27}$

Option C: Sometimes

1.Option B

2.Option A

3.Option C

4.Option A

5.Option D

6. $81 \times 10^6$

7.Option B

8.Option C

9.Option A

10.Option $1.28 r^2 \times t^9$

4 0

2 years ago

Read 2 more answers

Here’s a graph of a linear function. Write the equation that describes that function. Express it in slope intercept form.

MatroZZZ [7]

Answer:

y = $\frac{3}{4\\}$ x + 2

Step-by-step explanation:

To find the slope:

Find two spots where the line intersects and exact point. (-8,-4)(-4,-1)

Either count up & over or do y1-y2 / x1-x2 (-4+1)/(-8+4) -3/-4 3/4

The intercept is where it crosses the y-axis, in this case 2

Write the equation like this y = mx + b where m=slope & b=intercept

y = 3/4x + 2

4 0

2 years ago

Find the equation of the line with the given slope and containing the given point. slope -7/10; through (-8,0)

Kisachek [45]

Answer:

$y = -\frac{7}{10}(x + 8)$

Step-by-step explanation:

To write the equation of a line, substitute m = -7/10 and the point (-8,0) into the point slope formula.

$y - y_1=m(x-x_1)\\y - 0 = -\frac{7}{10}(x --8)\\y = -\frac{7}{10}(x + 8)$

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2 years ago

Kelli had $ 0.55 to buy a sandwich. Gustavo had $ 1.64. They decided to buy a snack together and share it. How much money do the

just olya [345]

Answer:

$1.09 per sandwich

Step-by-step explanation:

$1.64-0.55 = $1.09 per sandwich

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2 years ago

How do u write d dozen eggs in a numerical or varoable expression?

FromTheMoon [43]

Numeral expression is composed of numeric constants and operation while variable expression consist of both numeric and variables constants.
d dozen of eggs converted to numerical or variable expression:
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2 years ago