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3 years ago

8

A system of equations is given below:

1 answer:

algol [13]3 years ago

4 0

The given system of equations is:

y = 4x − 3 ...(1)

2x + 7y = 41 ...(2)

Notice that the first equation is a solved equation for y. So, we can simply substitute 4x-3 for y in equation (2) to solve. This method is also knwon as substitution method by which we can plug in one equation into other equation.

So, if we will substitute y=4x-3 in equation (2) then we will get,

2x+7(4x-3)=41

Hence, third choice 2x + 7(4x − 3) = 41 is the correct answer.

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Which of these formulas models this arithmetic sequence? 4, 15, 26, 37, 48, . . .

Musya8 [376]

it adds 11 to each number, 4+11+=15, 15+11=26, 26+11=26 and it keeps going

7 0

3 years ago

Read 2 more answers

In the figure shown, r || s. If the measure of ∠ 2 = 146°, what is the measure of ∠ 7

borishaifa [10]

Answer:

34°

Step-by-step explanation:

1. First, let's find the measure of ∠1 because since r || s, that means ∠1 = ∠7 because they're both alternate exterior angles. Alternate exterior angles are congruent.

2. (Solving for ∠1)

$146 + x = 180$
$146 + x - 146 = 180 - 146$
$x = 34$

3. Now, since we know ∠1 = ∠7, ∠7 = 34°.

3 0

2 years ago

Two chemists working for a chicken fast-food company, have been producing a very popular sauce. Let’s call then Jesse and Mr. Wh

a_sh-v [17]

Answer:

Check the explanation

Step-by-step explanation:

Let $\overline{x}$ and $\overline{y}$ be sample means of white and Jesse denotes are two random variables.

Given that both samples are having normally distributed.

Assume $\overline{x}$ having with mean $\mu_{1}$ and $\overline{y}$ having mean $\mu_{2}$

Also we have given the variance is constant

A)

We can test hypothesis as

$H0: \mu_{1} = \mu_{2}H1: \mu_{1} > \mu_{2}$

For this problem

Test statistic is

$T=\frac{\overline {x}-\overline {y}}{s\sqrt{\frac {1}{n1} +\frac{1}{n2}}}$

Where

$s=\sqrt{\frac{(n1-1)*s1^{2}+(n2-1)*s2^{2}}{n1+n2-2}}$

We have given all information for samples

By calculations we get

s=2.41

T=2.52

Here test statistic is having t-distribution with df=(10+7-2)=15

So p-value is P(t15>2.52)=0.012

Here significance level is 0.05

Since p-value is <0.05 we are rejecting null hypothesis at 95% confidence.

We can conclude that White has significant higher mean than Jesse. This claim we can made at 95% confidence.

3 0

3 years ago

Khloe drove 204 miles in 4 hours. If she continued at the same rate, how long would

Minchanka [31]

Answer:

15 hrs.

Step-by-step explanation:

204/4 = 51 miles per hrour

765/51 = 15 hrs.

6 0

3 years ago

Read 2 more answers

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Lynna [10]

Answer:

$\frac{-1}{4} x^{2}$

$\frac{-1}{4} g(x)$

Step-by-step explanation:

3 0

3 years ago