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2 years ago

A system of equations is shown.

Mathematics

1 answer:

igomit [66]2 years ago

7 0

Answer:

option c

Step-by-step explanation:

there are no solutions because they are parallel as they have same slope

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X/(x ^ 2 + 3x + 2) + 3/(x + 1)

masya89 [10]

Answer: 2(2x+3)/(x+1)(x+2)

4 0

3 years ago

Find the measure of ZB.

RoseWind [281]

The sum of the inside angles of a triangle, always sum up to 180 degrees. Using this information, we can create the following equation for this problem:

$(3x-2)\text{ +(6}x\text{+11)+(5}x\text{ +3) = 180}$

Adding up all terms with 'x' and adding the other together, we have the following equation:

$\begin{gathered} (3x+6x+5x)+(11+3-2)=180_{} \\ 14x+12=180 \\ 14x=180-12=168 \end{gathered}$

Solving this last equation for 'x', we have the following:

$\begin{gathered} 14x=168 \\ x=\frac{168}{14}=12 \end{gathered}$

Then, the final answer for the 'x' value is twelve!

6 0

5 months ago

The rectangle below has an area of 81-x^2 square meters and a width of 9-x meters. What expression represents the length of the

oksian1 [2.3K]

For this case we have that by definition, the area of a rectangle is given by:

$A = w * l$

Where:

w: Is the width of the rectangle

l: is the length of the rectangle

According to the data of the statement we have:

$A = 81-x ^ 2\\w = 9-x$

So, the length is given by:

$l = \frac {A} {w}\\l = \frac {81-x ^ 2} {9-x}$

We factor the numerator:

$l = \frac {(9 + x) (9-x)} {9-x}$

We simplify:

$l = 9 + x$

So, the length is $9 + x$

Answer:

$9 + x$

3 0

2 years ago

An article presents a study of health outcomes in women with symptoms of heart disease. In a sample of 115 women whose test resu

My name is Ann [436]

Answer:

z(s) is in the rejection region we reject H₀ μ₁ = μ₂ and support the claim that at CI 95 % the means of the two groups differs

Step-by-step explanation:

Sample 1:

Sise sample n₁ = 115

μ₁ = 169,9 mmHg

σ₁ = 24,8 mmHg

Sample 2:

Sise sample n₂ = 235

μ₂ = 163,3 mmHg

σ₂ = 25,8 mmHg

We can develop a test hypothesis for differences in means to investigate if the mean peak systolic blood pressure differs between these two groups

We will choose CI = 95 % then significance level α = 5 %

α = 0,05 α/2 = 0,025

z(c) for 0,025 is from z-table z(c) = 1,96

Test Hypothesis:

Null Hypothesis H₀ μ₁ = μ₂

Alternative Hypothesis Hₐ μ₁ ≠ μ₂

The alternative hypothesis tells us that the test is a two-tail test.

z(s) = ( μ₁ - μ₂ ) / √ σ₁²/n₁ + σ₂²/n₂

z(s) = ( 169,9 -163,3 ) / √ (24,8)² /115 + ( 25,8)²/235

z(s) = 6,6 / √5,35 + 2,83

z(s) = 6,6 / 2,86

z(s) = 2,30

Comparing |z(c)| and |z(s)|

z(s) > z(c)

z(s) is in the rejection region we reject H₀ μ₁ = μ₂ and support the claim that at CI 95 % the means of the two groups differs

6 0

2 years ago

Determine the scale factor for this scale diagram. Is it an enlargement or reduction?

kupik [55]

Answer:

d. C. 4; enlargement

Step-by-step explanation:

Scale factor = Ratio of one of the side length of the scale diagram to the corresponding side length of the original diagram

Side length of scale diagram = 8 units

Corresponding side length of original diagram = 2 units

Thus:

Scale factor = 8/2 = 4

Scale factor = 4

Since it's an while number, it implies that it is an enlargement.

4 0

2 years ago