MATHEMATICS COLLEGE

Factor each perfect square trinomial. Then, solve the equation by taking the square root of each side.Q1) x^2+14x+49=9



Q2) x^2-16x+64=144



3Q) x^2-2x+1=81

Answers

Answer 1
Answer:

Answer:

Q2 :) hope this helps!

Step-by-step explanation:

Related Questions

Which equation is equivalent to 4 x = t + 2s = t-2s=4/t+2s=t+2/4s=t+6
Determine whether [1 0 3 , −3 1 −7 , 5 −1 13] is a basis for set of real numbers R cubed 3. If the set is not a​ basis, determine whether the set is linearly independent and whether the set spans set of real numbers R cubed 3.
#7: Twenty-three more than 10 times a number is the same as 5 more than 1 pointthe number. *Your answer26 more than twice the
-2(bx-5)=16 what is the value of x in terms of b and what is the value of x when b is 3?
Which number is an irrational number?StartFraction negative 22 Over 9 EndFractionNegative StartRoot 3 EndRoot2.56StartRoot 15 EndRoot

Do phone surveys provide adequate coverage of households with respect to one particular parameter? The parameter is the proportion of households without children. If telephone surveys provide adequate coverage of households, then p , the proportion of households without children in the set of all future samples reached by phone, must be equal to the proportion of households without children in the population of all households. Suppose that Thomas, a market analyst, contacts a simple random sample of 300 households as part of a national telephone survey. Of the households contacted, 129 households, or 43 %, have no children and 57 % have at least one child. The most recent census indicates that 48 % of all households have no children and 52 % have at least one child.

Answers

Complete  Question

The complete question is shown on the first uploaded image

Answer:

Based on the result of his test , Thomas should fail to reject null hypothesis at a significance level of  0.01. Thomas sufficient evidence  to conclude that  the proportion of  households without children in the set of all future samples reached by phone is not equal to the proportion of households without children in the population of all households.

Step-by-step explanation:

From the question we see that the p-value is greater than the level of significance (0.01 )so we fail to reject the null hypothesis.

This means that Thomas has  sufficient evidence to conclude that the proportion of households without children in the set of all future samples reached by phone is not equal to the proportion of households without children in the population of all households.

Y = 1/9 * x - 8 what is the slope ?

Answers

Answer:

1/9

Step-by-step explanation:

the slope is m in y=mx+b

hope this helps!

A manufacturer of salad dressings uses machines to dispense liquid ingredients into bottles that move along a filling line. The machine that dispenses dressing is working properly when 8 ounces are dispensed. The standard deviation of the process is 0.15 ounces.
A sample of 48 bottles is selected periodically, and the filling line is stopped if there is evidence that the mean amount dispensed is different from 8 ounces.

Suppose that the mean amount dispensed in a particular sample of 48 bottles is 7.983 ounces.

Calculate the P-Value.

Answers

Answer:

P-value = 0.4324

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 8 ounces

Sample mean, \bar{x} = 7.983 ounces

Sample size, n = 48

Population standard deviation, σ = 0.15 ounces

First, we design the null and the alternate hypothesis

H_(0): \mu = 8\text{ ounces}\nH_A: \mu \neq 8\text{ ounces}

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

Formula:

z_(stat) = \displaystyle\frac{\bar{x} - \mu}{(\sigma)/(√(n)) }

Putting all the values, we have

z_(stat) = \displaystyle(7.983 - 8)/((0.15)/(√(48)) ) = -0.7851

Now, we calculate the p-value with the help of standard normal z table.

P-value = 0.4324

Here's a graph of a linear function. Write the equation that describes that function.

Answers

Answer:

2/3x + 1

Step-by-step explanation:

The y-intercept is 1. you can see that when x increases three, y increases 2.

Help please!!!!! asap

Answers

Answer:

w \leq \: 26

Step-by-step explanation:

(9w - 4)/(5) \leq (7w + 2)/(4)

First of all cross multiply

That's

4(9w - 4) \leq5(7w + 2)

Expand the terms

36w - 16 \leq \: 35w + 10

Add 16 to both sides

That's

36w + 16 - 16 \leq \: 35w + 10 + 16 \n 36w \leq35w + 26

Subtract 35w from both sides

We have

36w - 35w \leq35w - 35w + 26 \n

We have the final answer as

w \leq \: 26

Hope this helps you

Who can answer this
(WITH AN EXPLANATION)
will mark brainlest

Answers

Answer:

Factors: (x²y+6)(y²-11)

Step-by-step explanation:

Here's the original equation.

x²y³ - 11x²y + 6y² - 66

Let's separate it into two groups to make it easier.

(x²y³ - 11x²y) + (6y² - 66)

Let's take a look at (x²y³ - 11x²y) first. Do we notice anything that can be removed from the parentheses?

Yes, x²y can be taken from both polynomials to simplify the contents of the parentheses.

Both polynomials have x² and both have at least one y. Combine that to get x²y. That means that within the parentheses y² and - 11 will be left.

So  (x²y³ - 11x²y) becomes x²y (y²-11)

This works because if we multiply x²y * (y² - 11) we get (x²y³ - 11x²)

Let's apply this same idea to (6y² - 66).

6 is the only thing in common between the two polynomials.

If we follow the same steps we get 6 (y²-11).

Notice how when we simplified both groups they each had something on the outside and (y² - 11) in the parentheses?

So lets combine the things that were on the outside of both (y² - 11).

What was on the outside of each? x²y was on the outside for the first one, and 6 for the outside of the second one.

This means that if we combine everything and simplify, the factors we have are (x²y+6)(y²-11).

If you want to confirm, work your way backwards using the distributive property. You'll find that when you multiply (x²y+6) * (y² -11) you'll get = x²y³ - 11x²y + 6y² - 66. That was the original equation, so we know that these are the factors.

Hope that helps!
Other Questions
5. What is the value of x if the quadrilateral is a kite? B X+2 C С 13 A Xth12 D​
Will a truck that is 10 feet wide carrying a load that reaches 12 feet above the ground clear the semielliptical arch on the one-way road that passes under the bridge shown in the figure on the right? 13 ft --- 52 ft It will clear the arch because the height of the archway of the bridge 5 feet from the center is approximately (Round to two decimal places as needed.) feet.
Prove thatsin 75-sin 15=cos 105+cos 15​
Please answer these questions! Need help!