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3 years ago

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Consider the following ordered pairs that represent a relation. {(–4, –7), (0, 6), (5, –3), (5, 2)} What can be concluded of the

domain and range for this relation? Check all that apply.

2 answers:

Svetlanka [38]3 years ago

6 0

Consider the following ordered pairs that represent a relation. {(–4, –7), (0, 6), (5, –3), (5, 2)}

Domain : {–4, 0, 5 }

Range: {( –7, –3, 2, 6}

liq [111]3 years ago

6 0

Answer:

<h3>B) The range is the set of output values. </h3><h3>E) 5 is included in the domain of this relation. </h3>

You might be interested in

sleet_krkn [62]

Answer:

$1.\ m$

Step-by-step explanation:

1. Subtract 10 from both sides. Then:

$m+ 10< 16\\ m+ 10-10< 16-10\\m$

2. Divide both sides by -2. Notice that the direction of the symbol of the inequality will change. Then:

$-2g\geq8\\\\\frac{-2g}{-2}\geq\frac{8}{-2}\\\\g\leq-4$

3. Add 22 to both sides. Then:

$y-22< 19\\ y-22+22$

4. Divide both sides by -7. Notice that the direction of the symbol of the inequality will change. Then:

$-7b>-28\\\\\frac{-7b}{-7}>\frac{-28}{-7}\\\\b$

5. Subtract 30 from both sides. Then:

$h+30$

6. Divide both sides by -5. Notice that the direction of the symbol of the inequality will change. Then:

$-5x$

7. Subtract 13 from both sides. Then:

$t+13>22\\ t+13-13>22-13\\t>9$

8. Add 12 to both sides. Then:

$w-12< 16\\ w-12+12$

7 0

2 years ago

A psychologist would like to examine the effect of fatigue on mental alertness. An attention test is prepared which requires sub

lianna [129]

Answer:

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level

Step-by-step explanation:

We formulate null and alternate hypotheses are

H0 : u1 < u2 against Ha: u1 ≥ u 2

Where u1 is the group tested after they were awake for 24 hours.

The Significance level alpha is chosen to be ∝ = 0.05

The critical region t ≥ t (0.05, 13) = 1.77

Degrees of freedom is calculated df = υ= n1+n2- 2= 5+10-2= 13

Here the difference between the sample means is x`1- x`2= 35-24= 11

The pooled estimate for the common variance σ² is

Sp² = 1/n1+n2 -2 [ ∑ (x1i - x1`)² + ∑ (x2j - x`2)²]

= 1/13 [ 120²+360²]

Sp = 105.25

The test statistic is

t = (x`1- x` ) /. Sp √1/n1 + 1/n2

t= 11/ 105.25 √1/5+ 1/10

t= 11/57.65

t= 0.1908

The calculated value of t= 0.1908 does not lie in the critical region t= 1.77 Therefore we accept our null hypothesis that fatigue does not significantly increase errors on an attention task at 0.05 significance level

5 0

2 years ago

A home gardener estimates that 24 apple trees will have an average yield of 104 apples per tree. But because of the size of the

d1i1m1o1n [39]

Answer:

The farmer should plant 14 additional trees, for maximum yield.

Step-by-step explanation:

Given

$Trees = 24$

$Yield = 104$

$x \to additional\ trees$

So, we have:

$Trees = 24 + x$

$Yield = 104 - 2x$

Required

The additional trees to be planted for maximum yield

The function is:

$f(x) = Trees * Yield$

$f(x) = (24 + x) * (104 - 2x)$

Open bracket

$f(x) = 24 * 104 + 104x - 24 * 2x - x * 2x$

$f(x) = 2796 + 104x - 48x - 2x^2$

$f(x) = 2796 + 56x - 2x^2$

Rewrite as:

$f(x) = - 2x^2 + 56x + 2796$

Differentiate

$f'(x) = -4x + 56$

Equate $f'(x) = -4x + 56$ to 0 and solve for x to get the maximum of x

$-4x + 56 = 0$

$-4x =- 56$

Divide by -4

$x =14$

The farmer should plant 14 additional trees, for maximum yield.

5 0

2 years ago

WILL GIVE BRAINLIEST! DUE TODAY! WILL GIVE EVERYTHING GOOD!!! HELPP!!! I REALLY NEED HELP ON THIS ONE!!!!

PtichkaEL [24]

Answer:

So its pretty simple

The table provided the Xs so you can just substitute the x in the eqaution becuase the eqaution gives you Y and your looking for Y.

For the first one

-3/4*-16+3=y

12+3=15

So Y is 15

DO the same for the others

Also I think your rate of change is wrong, I think it’s -3/4 but your choice really, I might be wrong

6 0

2 years ago

Read 2 more answers

The Maximus Electric Company will increase employee's yearly wages by 2.5% next year. An employee whose

Mamont248 [21]

Answer:

46,125

Step-by-step explanation:

2.5% = .025

45,000 * .025 = 1,125

45,000 + 1,125 = 46,125

4 0

2 years ago