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vlabodo [156]
3 years ago
9

Math please show all work

Mathematics
2 answers:
kompoz [17]3 years ago
6 0

Answer:

x≥-4

Step-by-step explanation:

Lets write out the equation so its easier to work with.

-(x-4)≤8

Now lets distribute the negative 1 on the side with the x

-x+4≤8

Subtract 4

-x+4-4≤8-4

Do the subtraction

-x≤4

divide by negative 1, this flips the inequality

-x/-1≥4/-1

since the side with the x is double negative the fraction becomes positive

x/1≥4/-1

Any number of 1 is that number and numbers over -1 is that number but negative

x≥-4

Natali5045456 [20]3 years ago
4 0

-(x-4) \leq 8

Multiply both sides by -1. When multiplying/dividing an inequality by a negative number, remember to reverse the inequality symbol.

x-4 \geq -8

Add both sides by 4 to cancel the -4 on the left side.

x\geq -4

That's your solution.

Have a magical day! (ノ◕ヮ◕)ノ*:・゚✧

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Answer:

No

Step-by-step explanation:

the quantities are not proportional because 7/8 is greater than 2/4. Hope this helps!

8 0
3 years ago
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Semmy [17]
True....Independent = Test....therefore they are testing the current
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3 years ago
A blue whale calf weighed 2725 kilograms at birth. A blue whale calf gains 90 kilograms of weight each day for the first 240 day
Ivanshal [37]

Answer:the weight after 225 days is

22885 kilograms

Step-by-step explanation:

The initial weight of the blue whale calf at birth is 2725 kilograms. blue whale calf gains 90 kilograms of weight each day for the first 240 days after its birth. The weight increases in arithmetic progression. This means that the first term of the sequence, a is 2725, the common difference, d is 90.

The formula for the nth term of an arithmetic sequence is expressed as

Tn = a + (n - 1)d

Where

n is the number of terms of the sequence.

a is the first term

d is the common difference

We want to determine its weight, T225 after 225 days after it’s birth. It means that n = 225

Therefore

T225 = 2725 + (225 - 1)90

T225 = 2725 + 224×90 = 2725 + 20160

T225 = 22885

8 0
3 years ago
- The water level of a lake fell by 13 inches during
bezimeni [28]

Answer:

r = - 13 / 15 inches/week

Step-by-step explanation:

The numerator is 13

and the denominator is 15, then we have

r = - 13 / 15 inches/week

r < 0 since the water level of the lake fell

6 0
3 years ago
A toy manufacturer wants to know how many new toys children buy each year. A sample of 305 children was taken to study their pur
Harrizon [31]

Answer:

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

Step-by-step explanation:

We have that to find our \alpha level, that is the subtraction of 1 by the confidence interval divided by 2. So:

\alpha = \frac{1 - 0.8}{2} = 0.1

Now, we have to find z in the Ztable as such z has a pvalue of 1 - \alpha.

That is z with a pvalue of 1 - 0.1 = 0.9, so Z = 1.28.

Now, find the margin of error M as such

M = z\frac{\sigma}{\sqrt{n}}

In which \sigma is the standard deviation of the population and n is the size of the sample.

M = 1.28\frac{1.5}{\sqrt{305}} = 0.1

The lower end of the interval is the sample mean subtracted by M. So it is 7.6 - 0.1 = 7.5

The upper end of the interval is the sample mean added to M. So it is 7.6 + 0.1 = 7.7

The 80% confidence interval for the mean number of toys purchased each year is between 7.5 and 7.7 toys.

8 0
3 years ago
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