Rewrite the equation by completing the square.
x² +3x -28 = 0

Answers

Answer 1

Answer:

x = -7 and x = 4

Step-by-step explanation:

that's the answer


Related Questions

Decrease $260 in the ratio 3:5​

Answers

$260 / 8 = $32.50
32.5 x 3= $97.50
32.5 x 5 = $162.50
$97.50:$162.50

a single die is rolled one time. Find the probability of rolling a number greater than 4 or less than 3​

Answers

Answer:

2/3

Step-by-step explanation:

What is sin(sec^-1 (u))

Answers

Answer:

i think

Step-by-step explanation:

The average monthly mortgage payment for all homeowners in a city is $2870. Suppose that the distribution of monthly mortgages paid by homeowners in this city follow an approximate normal distribution with a mean of $2870 and a standard deviation of $470. Find to 4 decimal places the probability that the monthly mortgage paid by a randomly selected homeowner from this city is

Answers

Answer:

The probability that the monthly mortgage is between 2300 and 3140 is: 0.23167

Step-by-step explanation:

Given

[tex]\mu = 2870[/tex] --- the average

[tex]\sigma = 470[/tex] --- the standard deviation

Required [Missing from the question]

Monthly mortgage is between 2300 and 3140

This is represented as:

[tex]P(2300 < x < 3140)[/tex]

This is calculated as:

[tex]P(a< x < b) = P(z_a < Z < z_b)[/tex]

[tex]P(2300< x < 3140) = P(z_b < Z < z_a)[/tex]

Calculate the z scores

[tex]x = 3140[/tex]

[tex]z = \frac{3140 - 2850}{470}[/tex]

[tex]z = \frac{290}{470}[/tex]

[tex]z = 0.6170[/tex]

[tex]x = 2300[/tex]

[tex]z = \frac{3140 - 2300}{470}[/tex]

[tex]z = \frac{840}{470}[/tex]

[tex]z = 1.7872[/tex]

So, we have;

[tex]P(2300< x < 3140) = P(1.1787 < Z < 0.6170)[/tex]

This is then calculated as:

[tex]P(a < Z < b) = P(Z < a) - P(Z <b)[/tex]

[tex]P(a < Z < b) = P(Z < 1.1782) - P(Z <0.6170)[/tex]

[tex]P(2300< x < 3140) = P(Z < 1.1782) - P(Z <0.6170)[/tex]

Using the z table:

[tex]P(Z<0.6170) =0.73138[/tex]

[tex]P(Z<1.7872) =0.96305[/tex]

[tex]P(2300< x < 3140) = 0.96305 - 0.73138[/tex]

[tex]P(2300< x < 3140) = 0.23167[/tex]

10 You are planning a party for a group of friends. The cost of
the party will be $30 to rent the room plus $5 per person.
You have a budget of $75. Which inequality gives you the
best estimate of the number of people p that you can invite
to your party?

Answers

Answer:

30+5p ≤ 75 (C)

Step-by-step explanation:

Well ”p” is amount of people and every person costs 5 dollars do 5p. 30 dollars for a single room so that s a one time fee, 30+5p

Now the budget can’t be greater than 75 and 75 is the greatest number so we use a less then or equal to sign

5p+30≤75 or (C)

What is the equation of a vertical line passing through the point (3, −5)? y = −5 x = −5 y = 3 x = 3

Answers

Answer:

Step-by-step explanation:

x = 3

the area of a rectangle whose length is twice its width​

Answers

Answer:

is there anything else that gose with this question

Step-by-step explanation:

Which of these choices are square roots of 144? Check all that apply. ​

Answers

Answer:

E

Step-by-step explanation:

Add seven to a product of a number and ten

Answers

Answer:

17

Step-by-step explanation:

10+7 = 17

Find the solution set for this inequality. SHOW YOUR WORK OR NO CREDIT

-2x+4>-4x+8

Answers

Answer:

Below

Step-by-step explanation:

Isolate the variable by dividing each side by factors that don't contain the variable.

Inequality Form: x >2

Interval Notation:  ( 2, ∞)

Hope this helps:)

-2x+4>-4x+8

-2x+4x>8-4

2x>4

X>4/2

X>2

Mount McKinley in Alaska is North America’s highest mountain. The mountain is 20,320 feet high. To the nearest mile, find the distance from the summit to the horizon at sea level.

Answers

Answer:

4 miles

Step-by-step explanation:

3.8484848 rounded is 4

The diameter of a circle is 8 centimeters. What is the circle's circumference?

Answers

Answer:

25.13 centimeters

Step-by-step explanation:

How many lines of symmetry does the figure below have?

Answers

Answer:

4

Step-by-step explanation:

straight (1)

horizontal (1)

both diagonals (2)

What is the measure of n?
Please help!!

Answers

Answer:

70°

Step-by-step explanation:

n+20=90° [being a right angelled triangle]

or, n=90°-20°

therefore n=70°

I guess this is the answer but please confirm first.

70° is the right answer

Students in 4th and 5th grade took a survey regarding their favorite cafeteria food. What percent of the students selected pizza as their favorite food? (Will give brainlt plus 50 points if correct)

A) 30%
B) 40%
C) 60%
D) 20%

(Teachers Hint: "For this one you need to set up a proportion. Start by finding the total amount of kids asked (60 + 110 + 120 + 10 = 300). Then set up the proportion:
pizza % 60 x
_____ = _____ ____ = ____
Total 100 300 100
Cross multiply and divide to get your answer!")

Answers

Answer:

where the pic

Step-by-step explanation

lol

Explain how 17.526 could be rounded to both 18 and 17.5.

Answers

Answer:

Step-by-step explanation:

If you round it to the nearest whole number, then 17.526  becomes 18 because if the first digit after the decimal(in this case,5) is 5 or greater you round to the next whole number.

If you round it to the nearest tenth, it would result in 17.5, because if the second digit after the decimal (in this case, 2) is 5 or greater you round to the next tenth of decimal.

Hope this helps!

Answer:

Step-by-step explanation:

It can be rounded down to 17.5 if rounding to 1 decimal place. If you are rounding to the nearest whole number, you would round to 18.

Hope this helps :)

whats the are and perimeter for this pls help

Answers

Answer:

the area is 64 the perimeter is 30

Step-by-step explanation:

Gary tried to solve an equation step by step.

Answers

Answer:

2.5 x 4 = 10 not 8

so step 2

Answer:

B, Step 2

Step-by-step explanation:

Gary did, in fact, made a mistake. In step 2, 2.5*4 does not equal 8. In fact, 2.5*4 = 10


Please help it’s due tonight. Your help will be greatly appreciated.There is also a graph. WILL PUT YOU AS BRAINLY!!!!!!

Answers

Answer: see below

Step-by-step explanation:

The shape is a trapezoid

Base 1 (BH) is 10

Base 2 (QA) is 14

Height is 5

Area

[tex]A=\frac{base_{1} +base_{2} }{2} h[/tex]

[tex]A=\frac{10+14}{2} *5\\A=12*5\\A=60[/tex]

Find distance between QB and HA

[tex]D=\sqrt{(x_{2} -x_{1}) ^{2}+(y_{2}-y_{1}) ^{2}[/tex]

Q( -4,4)  B (-2,9)

[tex]D=\sqrt{(-2--4)^{2}+(9-4)^{2} } \\D=\sqrt{2^{2} +5^{2} } \\D=\sqrt{29}[/tex]

Perimeter

[tex]P=10+14+2\sqrt{29} \\P=24 +2\sqrt{29} \\P= 24+10.77\\P=34.77[/tex]

Please help if u know

Answers

Answer:

On the second step when he multiplied distributed (x+1) (x+2) he forgot to multiply x*1 and x*2 (check red arrows in attachment below)

Step-by-step explanation:

i hope that helps please lmk if you need for help

pls answer this plssssssssssss​

Answers

Angle A is the same as Angle C. 160 degrees.

Answer:

Angle C = 160° [given]

Angle A =?

Angle A = Angle C [Vertically Opposite Angles]

Angle A = 160° [option 1]


PLEASE HELP !! ILL GIVE BRAINLIEST !!

Answers

Answer:

∠TUX and ∠WXU

Step-by-step explanation:

Alternate interior angles are angles that lie on the inside of the parallel lines, but different sides.

∠TUX is on the left side.

∠YXU is on the right side.

Therefore, ∠TXU and ∠WXU are alternate interior angles.

The following data table represents the total cost of a monthly cell phone bill as a function of the number of minutes that the phone is used each month. Minutes 500 750 1,000 1,250 1,500 Total Monthly Cost (in dollars) $62 $77 $92 $107 $122Choose the correct linear model that represents the total monthly cost as a function of time. y = 0.06 x + 500 y = 16 x + 32 y = 62 x + 16 y = 0.06 x + 32

Answers

Answer:

the answere is y=543.2

Step-by-step explanation:

thats it

Joey compared the cost of 9 different toys.

$2, $8, $4, $7, $8, $5, $8, $4, $6

What is the median cost of the books?

Question 1 options:

$8


$5


$6

Answers

Put in order
2,4,4,5,6,7,8,8,8
Look for middle one
So it’s $6

Answer:

6$

Step-by-step explanation:

$2, $8, $4, $7, $8, $5, $8, $4, $6

2, 4, 4, 5,6,7,8,8,8

6$

Classify ∠1 and ∠2 using all names that apply

Answers

Step-by-step explanation:

complementry

since the angle 1 and 2 both measures 90⁰

Answer: Choice 2 Adjacent and Choice 4 Supplementary

Step-by-step explanation:

Here, we are given four choices, and I will be defining each of them.

Vertical angles: two angles that are opposite to each other which was formed by two intersecting lines.Adjacent angles: two angles that share one common vertex and "arm"Complementary angles: two angles that add up to 90°Supplementary angles: two angles that add up to 180°

-----------------------------------------------------------------------------------------------

We can see from the figure given

Both angles are 90°, so ∠1+∠2=90+90=180°

Which is supplementary.

We can see from the figure given

Both angles share a common arm and vertex

Which is adjacent

Hope this helps!! :)

Please let me know if you have any questions

The length of a rectangle is five times its width.
If the perimeter of the rectangle is 60 cm, find its length and width.
length: 7 cm
Х
?
width: 1
cm

Answers

Answer:

The length of the rectangle is 25 cm, while the width is 5 cm.

Step-by-step explanation:

Given that the length of a rectangle is five times its width, to find its length and width, knowing that the perimeter of the rectangle is 60 cm, the following calculation must be performed:

(5X x 2) + (X x 2) = 60

10X + 2X = 60

12X = 60

X = 60/12

X = 5

5x5 = 25

Thus, the length of the rectangle is 25 cm, while the width is 5 cm.

Which point on the number line is closest to the product of the numbers graphed at points R and T? Explain your answer.

Answers

Answer Point R = 7/10

and Point T = 9/10

7/10  · 9/10  = 63

63/100  

6 /10 = point Q.

Step-by-step explanation:

Evaluate A2-B2 for A = 3 and B = -4.
O-2
0-7
Lenovo

Answers

Answer:

3×2+(-4)×(-2)=6+8=14

Which of the following is the solution to the compound inequality below?
5 + x 23
or
6x+1<-29
A. X2-2 or X<-5
O B. x2 - 22 or xc - 14
C.X22 or X<5
14
D. 28
or X

Answers

Answer:

[tex]x \ge -2[/tex] or [tex]x < -5[/tex]

Step-by-step explanation:

Given

[tex]5+x\ge3[/tex] or [tex]6x+1<-29[/tex]

Required

The solution

[tex]5+x\ge3[/tex]

Solve for x

[tex]x \ge 3 - 5[/tex]

[tex]x \ge -2[/tex]

[tex]6x+1<-29[/tex]

Solve for 6x

[tex]6x < -29 - 1[/tex]

[tex]6x < -30[/tex]

Solve for x

[tex]x < -30/6[/tex]

[tex]x < -5[/tex]

Hence, the solution is:

[tex]x \ge -2[/tex] or [tex]x < -5[/tex]

Hailey made the following statement
"It is impossible to build a rectangular prism with a volume of 40 units it one side measures 5 units."
Key
represents
1 cubic unit
Select the two figures below that prove Hailey's statement is false

Answers

Answer:

D

Step-by-step explanation:

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