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uranmaximum [27]
3 years ago
9

2. Solve x - 19 <81. Then graph the solution.

Mathematics
1 answer:
mr_godi [17]3 years ago
4 0

Answer:

x<100

Step-by-step explanation:

The given equation is :

x-19<81

Adding 19 to both sides of the equation.

x-19+19<81+19

x<100

It means the solution of the given equation is less than 100. Hence, the attached figure shows the graph for the given equation.

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I'll give brainiest what is √(4²+6²)=√52=2√13 rounded to the nearest tenth in decimal form
Contact [7]

Answer:

7.2

Step-by-step explanation:

6 0
3 years ago
Which algebraic expression is equivalent to this expression.3(2x-8)-11xA. -5x-24B. -17X -24C. -5X -8Please help I will mark you
kykrilka [37]

3(2x-8)-11x

We have to solve the expression:

First, Apply distributive property:

3(2x)+3(-8)-11x

6x-24-11x

Solve

6x-11x-24

-5x-24

Correct option:

A. -5x-24

6 0
1 year ago
please help! functions and relations. f(x)= square root of x-4. find the inverse of f(x) and it’s domain.
likoan [24]

ANSWER:

\:D.\text{ }f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge-4

STEP-BY-STEP EXPLANATION:

We have the following equation:

f(x)=\sqrt{x}-4

The inverse is the following (we calculate it by replacing f(x) by x and x by f(x)):

\begin{gathered} x=\sqrt{f^{-1}(x)}-4 \\  \\ \sqrt{f^{-1}(x)}=x+4 \\  \\ f^{-1}(x)=(x+4)^2 \end{gathered}

The domain would be the range of the original equation, and it would be the range of values that f(x) could take, which was from -4 to positive infinity, that is, f(x) ≥ -4.

Therefore, the domain is x ≥ -4.

So the correct answer is D.

\:f^{-1}\left(x\right)=\left(x+4\right)^2;x\ge -4

4 0
1 year ago
What is What is the measure of XYZ ?
ololo11 [35]

Answer:

The arc length, radius and the included angle are related as

r\theta=\widehat {XYZ}  where  \theta  is in radians.

The radius  r  is given by

r=\frac{\widehat {XYZ} }{\theta} \\ r=\frac{10.8}{1.8} \\ r=6\;units  

Correct choice is (B).

Step-by-step explanation:

6 0
4 years ago
Gibbs Baby Food Company wishes to compare the weight gain of infants using its brand versus its competitor's. A sample of 40 bab
Readme [11.4K]

Answer:

Mean weight gained of two goods is not significantly different under 0.05 or 0.01 significance level, but it is under 0.10 significance level.

Step-by-step explanation:

We need to calculate the z-statistic of the differences of sample means and compare if it is significant under a significance level.

Z-score can be calculated using the formula:

z=\frac{X-Y}{\sqrt{\frac{s(x)}{N(x)}+\frac{s(y)}{N(y)}}} where

  • X is the mean weight gain for in the first three months after birth for babies using the Gibbs products.
  • Y is the mean weight gain for in the first three months after birth for babies using the competitor products
  • s(x) is the population standard deviation of the sample for Gibbs brand
  • s(y) is the population standard deviation of the sample for competitor brand
  • N(x) is the sample size for babies used Gibbs product
  • N(y) is the sample size for babies used competitor product.

putting the numbers in the formula:

z=\frac{7.6-8.1}{\sqrt{\frac{2.3}{40}+\frac{2.9}{55}}} ≈ -1.51

and z-table gives that P(z<-1.51) = 0.0655

To conclude if the competitor good is significantly better, we need to choose a significance level and compare it to 0.0655.

For example, the difference in mean weight gained of two goods is not significant under 0.05 or 0.01 significance since 0.0655 is bigger than these values. But we can conclude that under 0.10 significance, competitor brand mean weight gain is significantly more than the Gibbs brand mean weight gain.  

5 0
4 years ago
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