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3 years ago

Write an equation in slope-intercept form when given two pieces of key information about the line.

Mathematics

1 answer:

kifflom [539]3 years ago

6 0

Answer:

what grade are u in

Step-by-step explanation:

bc I have no idea what u are doing

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Solve the following system of inequalities graphically on the set of axes below. State

Serhud [2]

Answer:

$(x,y) = (-1,1)$

Step-by-step explanation:

Given

$y>-2x - 1$

$y>x + 2$

Required

Solve graphically

See attachment for graph;

The black shade represents $y>-2x - 1$

While the green, represents $y>x + 2$

Next, determine the intersection points between the two lines

From the attached graph, we have:

$(x,y) = (-1,1)$

<em>Hence, the solution is:</em> $(-1,1)$

8 0

3 years ago

Adult female height is normally distributed with a mean of 65.3 inches and a standard deviation of 2.32 inches. a) If an adult f

emmasim [6.3K]

Answer:

0.0423 is the probability that the adult female has a height less than 61.3 inches.

Step-by-step explanation:

We are given the following information in the question:

Mean, μ = 65.3 inches

Standard Deviation, σ = 2.32 inches

We are given that the distribution of adult female height is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

P(adult female has a height less than 61.3 inches)

$P( x < 61.3) = P( z < \displaystyle\frac{61.3 - 65.3}{2.32}) = P(z < -1.7241)$

Calculation the value from standard normal z table, we have,

$P(x < 61.3) =0.0423 = 4.23\%$

0.0423 is the probability that the adult female has a height less than 61.3 inches.

5 0

3 years ago

Which function represents a reflection of f(x) = 3/8 (4)x across the y-axis?

almond37 [142]

Answer:

D is correct option. $g(x)=\frac{3}{8}\cdot (4)^{-x}$

Step-by-step explanation:

We are given a function $f(x)=\frac{3}{8}\cdot (4)^x$

We need to find new function reflection of f(x) across the y-axis.

When function reflection across y-axis $x\rightarrow -x$

$\text{Reflection across y-axis}f(x)\rightarrow f(-x)$

Therefore, $f(-x)=\frac{3}{8}\cdot (4)^{-x}$

New function, $g(x)=f(-x)$

$g(x)=\frac{3}{8}\cdot (4)^{-x}$

Thus, D is correct option.

6 0

3 years ago

Read 2 more answers

A bank employee notices an abandoned checking account with a balance of $412.if the bank charges a $4 monthly fee for the accoun

zhannawk [14.2K]

Here's what I'd do. If the account loses $4 per month, and it currently has $412, then do 412/4, which is 103 months. So in 103 months, or about 8 1/2 years, the bank account will be out of money.

3 0

3 years ago

Factorise : x³ + x - 3x² -3

ANEK [815]

Answer:

(x²+1)(x-3)

Step-by-step explanation:

Factorize x³ + x - 3x² -3

x³-3x²+x-3

Factorize

x²(x-3)+1(x-3)

= (x²+1)(x-3)

Hence the factorized form is (x²+1)(x-3)

6 0

3 years ago