All categories

2 years ago

Simplify (2x^{2} - 5x + 3) - (-x^{2} + 4x - 5)

Mathematics

1 answer:

MrRissso [65]2 years ago

5 0

Answer:

3x^2 - 9x + 8

Step-by-step explanation:

To simplify:

Distribute the -1 into the second term.
Collect and combine like-terms (terms with the same variables or powers)

The expression can be rewritten has (2x^2 - 5x + 3) -1(-x^2 + 4x - 5)

After distributing the -1, the equation becomes:

(2x^2 - 5x + 3) + (x^2 - 4x + 5)

The like-terms are:

2x^2 and x^2
-5x and -4x
3 and 5

Combine the like-terms:

2x^2 + x^2 = 3x^2
-5x - 4x = -9x
3 + 5 = 8

Substitute the simplified like-terms into the expression, in descending order:

3x^2 - 9x + 8

You might be interested in

A consumer believes that a certain potato chip maker is putting fewer chips in their regular bags of chips than the advertised a

dybincka [34]

Answer:

a) No

b) No

c) P value is more than 0.05.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 12 ounces

Sample size, n = 49

P-value = 0.136

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 12\text{ ounces}\\H_A: \mu < 12\text{ ounces}$

We use One-tailed z test to perform this hypothesis.

a) Alpha, α = 0.05

Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

b) Alpha, α = 0.10

Since, p-value > α,

The null hypothesis should not be rejected. We accept the null hypothesis and reject the alternate hypothesis. We conclude that the average chip weight is 12 ounces per bag.

c) The evidence is statistically significant at the .05 level means that the p value is more than 0.05.

3 0

2 years ago

The residents of a city voted on whether to raise property taxes. The ratio of yes votes to no votes was 3 to 5. If there were 7

Zinaida [17]

Answer:

2967 yes votes

Step-by-step explanation:

Welcome to Brainly!

One way of doing this problem follows:

Find the ratio, r, mentioned in the problem statement. To do this,

write the equation 3r + 5r = 7912 and solve this for r:

8r = 7912, so that r = 989.

Then the number of yes votes was 3(989), or 2967, and the number of no votes was 5(989), or 4947.

check: Does the ratio 2967/4947 equal 3/5? yes.

There were 2967 yes votes.

8 0

2 years ago

Line GJ is tangent to point A at point G.<br><br> If AG = 9 and GJ = 12, find AJ.

svlad2 [7]

Okay we know that tangent-chords creat 90 degree angles so what we have is a right triangle with a base of 9 and a height of 12, so do Pythoagoreas Theorem and we have 81+144=225 square root of 225 is 15 and that is AJ

8 0

3 years ago

Read 2 more answers

Write an equation in standard form for the line that had an undefined slope and passed through (-6, 4)

guajiro [1.7K]

x = -6 is the equation for this question.

5 0

2 years ago

Can someone please help me with this problem??

Ostrovityanka [42]

Answer:

The slope is - $\frac{1}{3}$ and the y intercept is 2.

Step-by-step explanation:

So, we can see that the line moves down one unit every time it progresses to the right three times. Slope is defined by change in y/change in x. For this problem, the change in y is -1 and the change in x is +3, so the slope is $-\frac{1}{3}$ .

Now for the y intercept. The y intercept is the point where the line first passes through the y axis. In this case, it passes through 2. Your y intercept can be written in two ways; as a number (2) or as an ordered pair $(0,2)$ , although people usually write the number.

I hope this was helpful. Good luck!

7 0

2 years ago