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3 years ago

Which of the following functions is graphed below?

Mathematics

1 answer:

nydimaria [60]3 years ago

7 0

Answer:

y = abs (x-5) -4

Step-by-step explanation:

We are shifting the absolute value function

f(x) = |x| to

g(x) = | x +h| + k

where h is a shift left if h > 0

right if h < 0

and k is a shift up if k> 0

down if k< 0

Since the graph is shifted down and to the right

k is <0 and h < 0

where k = -4 and h=-5

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bezimeni [28]

Answer:

Step-by-step explanation:

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3 years ago

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What is the result of substituting for y in the bottom equation y=x+3 y=x^2+2x-4

8_murik_8 [283]

The solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

Solution:

Given that,

$y = x + 3 ------- eqn 1\\\\y = x^2 + 2x - 4 ----- eqn 2$

We have to substitute eqn 1 in eqn 2

$x + 3 = x^2 + 2x - 4$

$\mathrm{Switch\:sides}\\\\x^2+2x-4=x+3\\\\\mathrm{Subtract\:}3\mathrm{\:from\:both\:sides}\\\\x^2+2x-4-3=x+3-3\\\\\mathrm{Simplify}\\\\x^2+2x-7=x\\\\\mathrm{Subtract\:}x\mathrm{\:from\:both\:sides}\\\\x^2+2x-7-x=x-x\\\\\mathrm{Simplify}\\\\x^2+x-7=0$

$\mathrm{Solve\:with\:the\:quadratic\:formula}\\\\\mathrm{For\:a\:quadratic\:equation\:of\:the\:form\:}ax^2+bx+c=0\mathrm{\:the\:solutions\:are\:}\\\\x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}\\\\\mathrm{For\:}\quad a=1,\:b=1,\:c=-7\\\\x =\frac{-1\pm \sqrt{1^2-4\cdot \:1\left(-7\right)}}{2\cdot \:1}$

$x = \frac{-1 \pm \sqrt{ 1 + 28}}{2}\\\\x = \frac{ -1 \pm \sqrt{29}}{2}$

$x = \frac{ -1 \pm 5.385 }{2}\\\\We\ have\ two\ solutions\\\\x = \frac{ -1 + 5.385 }{2}\\\\x = 2.1925$

$Also\\\\x = \frac{ -1 - 5.385 }{2}\\\\x = -3.1925$

Substitute x = 2.1925 in eqn 1

y = 2.1925 + 3

y = 5.1925

Substitute x = -3.1925 in eqn 1

y = -3.1925 + 3

y = -0.1925

Thus the solutions are (2.1925, 5.1925) and (-3.1925, -0.1925)

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4 years ago

Which of the following is the solution to the inequality below? 9-3x>2(x-3)

Inessa [10]

9 - 3x > 2(x - 3)
9 - 3x > 2x - 6
Subtract 2x from both sides.
9 -5x > -6
Subtract 9 from both sides.
-5x > -15
Divide both sides by-5.
x < 3

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4 years ago

You wondered if the sugar content in energy dinks is really the same as labeled in the products. The disclosure on Red Bull 12 o

NeX [460]

Answer:

The null hypothesis should be $H_0: \mu = 12$

The alternate hypothesis should be $H_1: \mu \neq 12$

Step-by-step explanation:

You wondered if the sugar content in energy drinks is really the same as labeled in the products. The disclosure on Red Bull 12 oz.

At the null hypothesis, we test if the sugar content is the same labeled, that is:

$H_0: \mu = 12$

At the alternate hypothesis, we test if the sugar context is different from the labeled, that is, different of 12.

$H_1: \mu \neq 12$

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3 years ago

What is the purpose of a punnett square?

ololo11 [35]

This should be in the biology section. A Punnett square is a table to show all the possible outcomes of two parents mating. Specifically it deals with the genotypes and genetic combinations going from known parents to unknown potential offspring.

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4 years ago

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