Mathematics High School

What is the intermediate step in the form (x + a)2 = b as a result of completing the
square for the following equation?
X2 + 23x – 19 = 9x - 4

Answers

Answer 1

Answer:

(x + 7)^2 = 64

Step-by-step explanation:

x^2 + 23x – 19 = 9x - 4

x^2 + 23x - 9x = -4 + 19

x^2 + 14x = 15 = 0

Completing the square:

(x + 14/2)^2 - (14/2)^2 = 15

(x + 7)^2 - 49 = 15

(x + 7)^2 = 64

Related Questions

Find the circumference of the pizza. Round your answer to the nearest hundredth.

Answers

Answer:

40.84 inches

Step-by-step explanation:

C=πd

C=π(13)

C=13π

C=40.84

So the pizza has a circumference of about 40.84 inches.

which statement about 307° is correct?

a. sin 307° > 0
b. cos 307° < 0
c. tan 307°<0

Answers

Answer: C. tan 307°<0

Step-by-step explanation: Quizzed

Can someone help me solve this pls

Answers

Can you please help me I posted the questions please help me

Answer: that’s an acute angle

Step-by-step explanation:

Which of the following is a statistical question?
A.
How many pages did Barry read last night?
B.
How many siblings does James have?
C.
How many miles does an elephant walk in a day?
D.
How old is Alisha?

Answers

Answer:

b

Step-by-step explanation:

Answer:

D.how old is Alisha

Step-by-step explanation:

A statistical question is something that can be answered by collecting data. For example how old am i? is not a statistical question.

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Answers

Answer:

1. 1

2. 6

3. 3 or 4

Step-by-step explanation:

Answer:

1. 8 families have 3 children

2. 25 families are represented in the dot plot.

3. 20 families have less than 4 children

Find the volume of triangular prism. NO LINKS

Answers

Answer:

504

Step-by-step explanation:

Which of the following could be a zero of f(x)=x4-10x3+35x2-50x+24​

Answers

Answer:

this answer is

Step-by-step explanation:

Invisible

The average daily volume of a computer stock in 2011 was million​ shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of trading days in​ 2014, he finds the sample mean to be million​ shares, with a standard deviation of s million shares. Test the hypotheses by constructing a ​% confidence interval. Complete parts​ (a) through​ (c) below. ​(a) State the hypotheses for the test. ​: mu equals million shares ​: mu not equals million shares ​(b) Construct a ​% confidence interval about the sample mean of stocks traded in 2014. The lower bound is nothing million shares. The upper bound is nothing million shares. ​(Round to three decimal places as​ needed.) ​(c) Will the researcher reject the null​ hypothesis?

Answers

Complete question :

The average daily volume of a computer stock in 2011 was p = 35.1 million shares, according to a reliable source. A stock analyst believes that the stock volume in 2014 is different from the 2011 level. Based on a random sample of 40 trading days in 2014, he finds the sample mean to be 30.9 million shares, with a standard deviation of s = 11.8 million shares. Test the hypotheses by constructing a 95% confidence interval. Complete parts (a) through (c) below. State the hypotheses for the test. Construct a 95% confidence interval about the sample mean of stocks traded in 2014.

Answer:

H0 : μ = 35.1 ;

H1 : μ < 35.1 ;

(26.488 ; 35.312)

Step-by-step explanation:

The hypothesis :

H0 : μ = 35.1

H1 : μ < 35.1

The confidence interval :

Xbar ± Margin of error

Xbar = 30.9

Margin of Error = Zcritical * s/sqrt(n)

Zcritical at 95% = 1.96

Margin of Error = 1.96 * (11.8/sqrt(40))

Margin of Error = 4.412

Lower boundary :

30.9 - 4.412 = 26.488

Upper boundary :

30.9 + 4.412 = 35.312

Confidence interval = (26.488 ; 35.312)

Since the population mean value exists within the interval, the we fail to reject the Null.

Shonda earns $10 per hour at Sneakers Plus. She is also paid a $2 commission on every pair of sneakers she sells. How much did Shonda earn if she worked 6 hours and sold 9 pairs of sneakers?

Answers

Answer:

78

Step-by-step explanation:

6*10=60

2*9=18

60+18=78

a Cone
15.1: Which Has a Larger Volume?
The cone and cylinder have the same height, and the
radii of their bases are equal.
Do you think the volume of the smaller one is more or
less than the volume of the larger one? Explain your
reasoning
8
8

Answers

Answer:

The cylinder has the larger volume. this is because the formula for the volume of a cone and cylinder are the same but the cone has the fraction 1/3.

So, three cones can fit into the cylinder, so it is less then one half

. Jada is standing 10 feet from the base of a tree and spots a nest sitting on a branch. The angle of elevation from the ground where she is standing to the nest is 55 ° . Find the height of the nest.

Answers

the answer is 14.3.

Simplify the expression below.

(xy)^8
A.
xy^8
B.
x^8y^8
C.
8xy
D.
8xy^8

Answers

Hopes this helps:

Answer: B. x^8y^8

Have a great day.

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Answers

Answer:

b

Step-by-step explanation:

D should be correct :)
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there are 400 3rd graders,4th,and 5th graders if 187 of the students are 3rd graders and 99 of the students are 4th graders,how many students are 5th graders

Answers

Answer:

144

Step-by-step explanation:

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Answer: 114 5th graders

Step-by-step explanation:

400 total

187 3rd graders

99 4th graders

187 + 99 = 286

400 - 286 = 114

100 ÷ half of 20 = What is the answer and steps Half of 20 means 10 but in BODMAS rule of means multiplication So please tell steps also

Answers

Answer:

it's 10 but i do'nt know the rule i'm sorry

Step-by-step explanation:


What is the range of the following graph? Please don’t put down any links.

Answers

Answer:

[-4, infinity)

Step-by-step explanation:

The range is all the y values. The minimum is -4, and the maximum is infinity because there are arrows pointing upwards.

PLEASE HELP FAST Looking for the bottom angle to find my answer! 30 POINTS

Answers

I believe it’s 33 degrees

x = 242.7 m

Step-by-step explanation:

First we need to find the angle at one of the parachutists:

180 - 57 - 43 = 80°

We then use sine law to find the distance between the parachutists

[tex] \frac{x}{ \sin(57) } = \frac{285 \: m}{ \sin(80) } [/tex]

Solving for x

[tex]x = (\frac{ \sin(57) }{ \sin(80) } )(285 \: m) = 242.7 \: m[/tex]

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Answers

Answer:

feel like its C

Step-by-step explanation:

frank needs to save $600 to buy a set of golf clubs. He plans to save $75 per month. Write an equation that Frank can solve to determine the amount of money he still has to save (y) in relation to the number of months (x) in which he saved money. what is the slope of that equation?

Answers

(y) would be the amount of money he still needs to save and (x) would be the number of months he saved money. He plans to save $75 a month, and he has to save $600 in total. He still has to save 600 - 75x. So, the equation would be y = 600 - 75x.

One out of eight students wore white. What percent of the students wore white?

A. 18%

B. 12.5%

C. 9%

D. 0.125%

Answers

Answer:

B

Step-by-step explanation:

100/8 = 12.5

Alex brought 48 cookies to school to celebrate his birthday. He gave 9 to teachers. He then shared equally the remaining cookies with his 18 classmates. How many cookies remained?

Answers

Answer:

3 cookies

Step-by-step explanation:

After he gave nine cookies to teachers,he have 39 cookies left.He shared 36 cookies to his 18 classmates at the rate of 2 cookies per person.Then,3 cookies remained.I may be wrong but,it is answer according to me.

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measured the sides of a right triangle to be 15cm and 8cm. Find the length of the hypotenuse.

Answers

c = √15^2 + 8^2

c = √225 + 64

c = √289

c = 17

The lenght of the hypotenuse is 17.

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Answers

Answer:

mirror x than mirror y i guess

Step-by-step explanation:

A dodecagonal pyramid has a surface area of 130 square inches. A similar dodecagonal pyramid has a surface area of 2080 square inches. If the larger pyramid has a height of 32, what is the height of the smaller dodecagonal pyramid?

Answers

Answer:

8 in.

Step-by-step explanation:

The ratio of the surface areas is equal to the square of the ratio of the heights

Let h = the height of the smaller dodecagonal pyramid

So,  [tex]\frac{2080}{130} = \frac{32^{2}}{h^{2} }[/tex]

[tex]h^{2} = \frac{32^{2} * 130 }{2080}[/tex]

[tex]h^{2} = 64[/tex]

h = 8 in.

Write an equation that you can use to find the value of x'.
Perimeter of triangle: 16 in.

Answers

Answer:

x= 16/3

Step-by-step explanation:

From the equation we know x is the same for all sides so the perimeter is:

p = x + x+ x   we know the perimeter so it would be

16 = 3x  (we add the x)

then we need to divide both sides by three to have an equation for x so it would be:

x= 16/3

18 cm
10 cm
15 cm
Find the area of the triangle.
[?] square centimeters

Answers

Which are the base and height of the triangle?

Answer: If 10 and 15 are base and height, then answer is 75 cm squared. If 15 and 18 are base and height, then answer is 135 cm squared. If 10 and 18 are base and height, then answer is 90 cm squared.

Answer:75

Step-by-step explanation:

Leslie had 30 pieces of bubblegum. Each piece of bubblegum cost $.12 each. What was the total she paid for all 30 pieces of bubblegum?

Answers

Step-by-step explanation:

30 pieces of bubblegum

each piece: $.12

Total paid = 30 × $.12

Answer: $3.60

Two sides of a triangle measure 7 feet and 19
feet. Write an inequality to represent the range
of lengths for the third side.

Answers

Answer:

12<x<26

Step-by-step explanation:

7 + 19 = 26

19 - 7 = 12

Always put the larger number before the smaller one while subtracting like I just did.

The inequality to represent the range of lengths for the third side as

{x} < 26.

What is a triangle?

A triangle is a two - dimensional figure with three sides and three angles.

The sum of the angles of the triangle is equal to 180 degrees.

∠A + ∠B + ∠C = 180°

Given is that two sides of a triangle measure 7 feet and 19 feet.

It is aske to write an inequality to represent the range of lengths for the third side. It is given that two sides of a triangle measure 7 feet and 19 feet.

For a inequality, the sum of the lengths of the two smaller sides is greater than the length of the maximum side. So, write an inequality to represent the range of lengths for the third side as -

19 + 7 > x

x < 19 + 7

x < 26

So, we can conclude that the inequality to represent the range of lengths for the third side as {x} < 26.

Therefore, the inequality to represent the range of lengths for the third side as {x} < 26.

To solve more questions on triangles, visit the link-

https://brainly.com/question/2773823

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What is the circumference of a circle with a diameter of 72 feet? Leave your answer in
terms of pi.

Answers

Answer:

72π feet

Step-by-step explanation:

circumference of circle= 2πr

Diameter= 2(radius)

radius of circle

= 72 ÷2

= 36 ft

Circumference

= 2(π)(36)

= 72π ft

Solve for the inequality for p. write it out in simplest form. Please help! :)
4p−1≤ 3p−10

Answers

Answer:

p≤ -9

Step-by-step explanation:

4p-1≤ 3p-10

4p-3p≤ 1-10

p≤ -9

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Answer:

See the image below:)

Step-by-step explanation:

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