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2 years ago

Help please, and explain(step-by-step) how the answer would be correct.

Mathematics

1 answer:

vekshin12 years ago

8 0

When a function is reflected, it must be reflected over a line

The new function is: $y = |4 -x| -8$

The equation is given as:

$y = |x + 4| - 8$

The rule of reflection over the y-axis is:

$(x,y) \to (-x,y)$

So, we have:

$y = |-x + 4| -8$

Rewrite as:

$y = |4 -x| -8$

Hence, the new function is:

$y = |4 -x| -8$

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Graph a line with a slope of 1/4 that contains the point (6, 3).

Semenov [28]

Answer:

The graph in the attached figure

Step-by-step explanation:

we know that

The equation of a line in point slope form is

$y-y1=m(x-x1)$

we have

$(x_1,y_1)=(6,3)$

$m=\frac{1}{4}$

substitute

$y-3=\frac{1}{4}(x-6)$

The easiest way to graph a line is to calculate the intercepts

The x-intercept is the value of x when the value of y is equal to zero

For y=0

$0-3=\frac{1}{4}(x-6)$

$-12=(x-6)$

$x=-12+6=-6$

The x-intercept is the point (-6,0)

The y-intercept is the value of y when the value of x is equal to zero

For x=0

$y-3=\frac{1}{4}(0-6)$

$y-3=-\frac{3}{2}$

$y=-\frac{3}{2}+3$

$y=1.5$

The y-intercept is the point (0,1.5)

Plot the intercepts and join the points to graph the line

(-6,0) and (0,1.5)

The graph in the attached figure

8 0

3 years ago

Rewrite the expression by using symbols 7(x - 20)

Lelechka [254]

7 × x - 7 × 20

You could rewrite it this way, 7 x (x-20), but the answer above is better 'cause it takes away the grouping symbols

5 0

3 years ago

a square flower garden in Samantha's backyard has an area of 100 square feet how much fencing will she need to enclose the flowe

leonid [27]

Answer:

perimeter = 40 feet

Step-by-step explanation:

side^2 = 100

side = 10

perimeter = 10 x 4 =40

7 0

3 years ago

Could an average person lift the weight of $100 in dimes?

kolezko [41]

Yes. it would be only about 5 pounds

6 0

3 years ago

Read 2 more answers

if ashley is in the 85th percentile and the mean of her test scores is 80 with a standard deviation of 15, which of the followin

kkurt [141]

The 85th percentile is a probability of 0.85 and its location is shown in the bell curve below

We need to look up on the z-table the value of z when P(Z<z) = 0.85 or P(Z>z) = 0.15

Value of z-score when p-value P(Z>z) = 0.15 is z = 1.0364

Next step is to use the formula of z-score to work out X
z-score = (X-μ) / σ
1.0364 = (X-80) / 15
1.0364 × 15 = X - 80
X = 15.546 + 80
X = 95.5

Most likely score that Ashley gets is 95.5

8 0

3 years ago

Read 2 more answers