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3 years ago

The range of the function f(x) = x + 5 is {7, 9). What is the function's domain?

Mathematics

1 answer:

Maru [420]3 years ago

8 0

Answer:

(2,4)

Step-by-step explanation:

The range is the y values

y = x+5

Let y=7

7 =x+5

Subtract 5

7-5 x+5-5

2=x

Let y= 9

Subtract 5

9-5 x+5-5

4=x

The domain is (2,4)

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Which graph shows a line with the same y intercept as the graph of 10x - 16y = 40

Amanda [17]

Answer:

The graph option where the y-axis is intercepted at y = -2.5 by the line of the graph.

Step-by-step explanation:

The answer choices for the possible graphs that have the same y-intercept as the graph of 10x - 16y = 40 is missing here.

However, the answer can still be explained here.

We can figure out how the graph would look like.

First, understand that the y-intercept of a graph is the value of y, of the point where the line intercepts the y-axis.

Let's figure out what the y-intercept is given a graph represented by the equation, 10x - 16y = 40.

Rewrite the equation in slope-intercept form.

10x - 16y = 40

-16y = -10x + 40

y = -10x/-16 + 40/-16

y = ⅝x - ⁵/2

Therefore, the y-intercept of the graph of 10x - 16y = 40 is -⁵/2 or -2.5.

✅The graph shows a line with the same y-intercept as the graph of 10x - 16y = 40, would have it's y-axis intercepted at y = -2.5.

4 0

3 years ago

The life in hours of a biomedical device under development in the laboratory is known to be approximately normally distributed.

tatuchka [14]

Answer:

a)Null hypothesis:- H₀: μ> 500

Alternative hypothesis:-H₁ : μ< 500

b) (5211.05 , 5411.7)

95% lower confidence bound on the mean.

c) The test of hypothesis t = 5.826 >1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

Step-by-step explanation:

Step :-1

Given a random sample of 15 devices is selected in the laboratory.

size of the small sample 'n' = 15

An average life of 5311.4 hours and a sample standard deviation of 220.7 hours.

Average of sample mean (x⁻) = 5311.4 hours

sample standard deviation (S) = 220.7 hours.

Step :- 2

a) Null hypothesis:- H₀: μ> 500

Alternative hypothesis:-H₁ : μ< 500

Level of significance :- α = 0.95 or 0.05

b) The test statistic

$t = \frac{x^{-} - mean}{\frac{S}{\sqrt{n-1} } }$

$t = \frac{5311.4 - 500}{\frac{220.7}{\sqrt{15-1} } }$

t = 5.826

The degrees of freedom γ= n-1 = 15-1 =14

tabulated value t =1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

calculated value t = 5.826 >1.761 From 't' distribution table at 14 degrees of freedom at 95% level of significance.

Null hypothesis is rejected at 95% confidence on the mean.

C) The 95% of confidence limits

$(x^{-} - t_{0.05} \frac{S}{\sqrt{n} } ,x^{-} + t_{0.05}\frac{S}{\sqrt{n} } )$

substitute values and simplification , we get

$(5311.4 - 1.761 \frac{220.7}{\sqrt{15} } ,5311.4 +1.761\frac{220.7}{\sqrt{15} } )$

(5211.05 , 5411.7)

95% lower confidence bound on the mean.

5 0

3 years ago

(x^3-2x^2-4) (-3x^2+x)

Kay [80]

Answer:

(3x2 + x + 4) • (x - 1)

————————————

x - 3

Step-by-step explanation:

4 0

3 years ago

How do you get your grades up

IrinaVladis [17]

Answer:

If you are doing online, try to do all the assignments missing. Ask for extra work, retake tests, and turn in missing assignments

Step-by-step explanation:

4 0

3 years ago

Polynomial add or subtract (-2x^2-4x+13)+(12x^2+2x-25)

BigorU [14]

1.Simplify.

-2{x}^{2}-4x+13+12{x}^{2}+2x-25−2x2−4x+13+12x2+2x−25

2.Collect like terms.

(-2{x}^{2}+12{x}^{2})+(-4x+2x)+(13-25)(−2x2+12x2)+(−4x+2x)+(13−25)

3.Simplify.

10{x}^{2}-2x-1210x2−2x−12

6 0

3 years ago

The range of the function f(x) = x + 5 is {7, 9). What is the function's domain?​

The range of the function f(x) = x + 5 is {7, 9). What is the function's domain?