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4 years ago

Which graph accurately indicates the region, shaded in green, that would determine the solution for

Mathematics

2 answers:

iragen [17]4 years ago

4 0

Answer:

2nd

Step-by-step explanation:

sweet [91]4 years ago

3 0

Answer:

Second graph

Step-by-step explanation:

Given inequality,

| x + 7 | - 2 ≥ 0

| x + 7 | ≥ 2

x + 7 ≥ ± 2

x ≥ -7 ± 2

⇒ x ≥ -7 + 2 or x ≥ -7 - 2

⇒ x ≥ -5 or x ≥ -9,

Thus, in the shaded region x ≥ -5 or x ≥ -9,

In the given graphs, the shaded region represents by green,

In the first graph, green line lies in the region -9 ≤ x ≤ -5

Thus, it can not be the graph of the given inequality,

In the second graph, green line lies in the region x ≥ -5 or x ≥ -9

Hence, second graph would be the answer.

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A restaurant used 8 1/4 pounds of carrots to make 6 carrot cakes. Frank wants to use the same recipe. How many pounds of carrots

snow_tiger [21]

Answer:

To make one carrot cake 1 pound(approximately) carrot needed.

Step-by-step explanation:

Given:

8 1/4=33/4 pounds of carrots used to make 6 carrot cakes.

So, to get one carrot cake:

6 carrot cakes need = $\frac{33}{4}$

1 carrot cake need = $\frac{33}{4}$ ÷ $6$

= $\frac{33}{24}$

= $1.375\ pound$

Therefore, to make one carrot cake 1 pound(approximately) carrot needed.

4 0

3 years ago

{6x[3+(4-2)]-10}+5 <br> How can I solve

Sloan [31]

Answer:

5(6x-1)

Step-by-step explanation:

Step 1 Subtract the numbers:

6x[3+(4-2)]-10+5

6x[3+(2))]-10+5

Step 2 Add the Numbers:

6x[3+2]-10+5

6x[5]-10+5

Step 3 Multiply the Numbers:

6x*5-10+5

30x-10+5

So the answer is 5(6x-1).

Hope You understand.

8 0

2 years ago

What is the square root of 24

Rina8888 [55]

Answer:

4.9 (rounded)

Step-by-step explanation:

Square root or 24 is 4.89, so it rounds to 4.9

3 0

3 years ago

Read 2 more answers

Last year, sales at Company X were 10% greater in February than in January, 15% less in March than in Feb, 20% greater in April

horsena [70]

Answer:

May

Step-by-step explanation:

Let x be the sales in January,

∵ Sales were 10% greater in February than in January,

So, the sales in February = (100 +10)% of x

= 110% of x

= $\frac{110x}{100}$

= 1.1x

∵ it is 15% less in March than in Feb,

Sales in march = (100-15)% sales in February

= 85% of 1.1x

= 0.935x

∵ It is 20% greater in April than in March,

Sales in April = (100+20)% of sales in march

= 120% of 0.935x

= 1.122x,

∵ It is 10% less in May than in April

Sales in May = (100-10)% of sales in march

= 90% of 1.122x,

= 1.0098x,

∵ It is 5% greater in June than in May

Sales in June = (100+5)% of sales in march

= 105% of 1.0098x,

= 1.5147x

∵ 1.0098x is much closure to x than 1.1x, 0.935x, 1.122x and 1.5147x

Hence, the sales in May is closest to sales in January.

6 0

4 years ago

According to data from the 2010 United States Census, 43.1% of Americans over the age of 65 were male.

MrMuchimi

Answer: $\mu_{\hat{p}}=0.431\\\\ \sigma_{\hat{p}}=0.064$

Step-by-step explanation:

The mean and standard deviation of the sampling distribution of p is given by :-

$\mu_{\hat{p}}=p\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}$

, where p= population proportion.

n= sample size.

Let p represent the sample proportion of Americans over the age of 65 that were male.

Given : The proportion of Americans over the age of 65 were male.

p= 43.1%=0.431

sample size : n= 60

Then, the mean and standard deviation of the sampling distribution of p will be :-

$\mu_{\hat{p}}=p =0.431\\\\ \sigma_{\hat{p}}=\sqrt{\dfrac{p(1-p)}{n}}=\sqrt{\dfrac{0.431(1-0.431)}{60}}\\\\=\sqrt{0.0041}\approx0.064$

Hence, the mean and standard deviation of the sampling distribution of p :

$\mu_{\hat{p}}=0.431\\\\ \sigma_{\hat{p}}=0.064$

4 0

3 years ago