All categories

3 years ago

Y = -4x + 5 4x + y = 10

Mathematics

1 answer:

valina [46]3 years ago

7 0

Answer:

x = 5

Step-by-step explanation:

y = -4x + 5 4x + y = 10

substitute the y in the second equation with

(-4x +5).

4x + (-4x + 5) = 10 then add like terms.

x + 5 = 10 solve for x.

10 - 5 = 5 make sure to check your answer.

5 + 5 = 10

You might be interested in

Find the arc length of the partial circle.

nalin [4]

Answer:

1/2 pi

Step-by-step explanation:

This is 1/4 of a circle

Find the circumference and multiply by 1/4

1/4 C

1/4 ( 2*pi*r) where r is the radius

The radius is 1

1/2 pi*1

1/2 pi

7 0

3 years ago

Read 2 more answers

Facts about pasical's education

Paha777 [63]

Blaise Pascal (June 19, 1623 - August 19, 1662) was a great contributor to math, science, and philosophy, especially Christian philosophy. Interesting Blaise Pascal Facts: Pascal's early education in France was conducted at home by his father due to the prodigious talent and understanding he showed as a child. Did u mean pascal instead of pasical becaus ethere is no such thing. Hope I helped :)

4 0

3 years ago

15 inches and 8 feet in the simplest form

aivan3 [116]

9ft n 3 inches , because 12 inches is a feet ! if you know then you know

5 0

3 years ago

Write the sum or difference in the standard form a + bi. ( 7 + 5i) - ( -9 + i)

Veseljchak [2.6K]

(7 + 5i) - ( -9 + i)
= 7 + 5i - (-9) - (i)
= 7 + 5i + 9 - i
= 16 + 4i

= 4i + 16

3 0

3 years ago

Last year, 50% of MNM. Inc. employees were female. It is believed that there has been a reduction in the percentage of females i

Serhud [2]

Answer:

We conclude that there has been a significant reduction in the proportion of females.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 50% = 0.5

Alpha, α = 0.05

Number of women, x = 118

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.50\\H_A: p < 0.50$

This is a one-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{118}{400} = 0.45$

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

Putting the values, we get,

$z = \displaystyle\frac{0.45-0.50}{\sqrt{\frac{0.50(1-0.50)}{400}}} = -2$

Now, we calculate the critical value.

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.645$

Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there has been a significant reduction in the proportion of females.

3 0

3 years ago