Use the zero product property to find the solutions to the equation 2x2 + x – 1 = 2.

Answers

Answer 1

[tex]2 {x}^{2} + x - 1 = 2 [/tex]

Subtract sides -2

[tex]2 {x}^{2} + x - 1 - 2 = 2 - 2 [/tex]

[tex]2 {x}^{2} + x - 3 = 0 [/tex]

[tex](x - 1)(2x + 3) = 0[/tex]

_________________________________

[tex]x - 1 = 0[/tex]

[tex]x = 1[/tex]

##############################

[tex]2x + 3 = 0[/tex]

[tex]x = - \frac{3}{2} \\ [/tex]

_________________________________

Done♥️♥️♥️♥️♥️

Answer 2

Answer: I think its C on edge


Related Questions

Simplify this expression.
20.25 – 9 +11
-
o
18.75
21
O
40.75

Answers

Answer:

22.25

Step-by-step explanation:

there are no special things to be considered.

You can simplify the last two numbers. Because -9 +11 is the same as +2 you can see the answer:

20.25 + 2 = 22.25

A triangle has sides with lengths of 4 millimeters, 5 millimeters, and 8 millimeters. Is it a right triangle?​

Answers

Answer: No its not a right angled triangle. Please mark as brainliest!

Answer:

Yes

Step-by-step explanation:4 mm and 5 mm are the A and B part of the triangle while the 8 mm is the hypotenuse

Find the measure of ∠7.

Given:
∠1 is a right angle
∠3 = 37°
∠8 =62°

A. 53°
B. 65°
C. 105°
D. 127°
E. 245°

Answers

Answer:

The answer is B: 65.

Angle 8 + angle 7 = right angle + 37 degree

, 62 degree + angle 7 = 127 degree

, angle 7 = 127 degree - 62 degree

, = 65 degree

which is the graph of the exponential function y=8(5)^x?

Answers

Answer:

y=8(5)^(x)

Step-by-step explanation:

WILL CASHAPP¡¡¡

I will cash app the first person $10 that completes these questions correctly

Answers

Answer:

A=2

B=1

C=4

D=5

E=3

130 degrees

138 degrees

angle 2 is not alternate exterior to any angle

angle 6

Step-by-step explanation:

sorry about that I don't know what I was thinking

Each of the four shapes represents a positive whole number. The sum of the
shapes in each row and column is displayed at the end of each row and
column. Using this information, determine the numerical value of each shape.
{
23
16
24
15
19
20
23
16

Answers

Answer:

The pentagon shape = 8

The star shape = 6

The curl shape = 3

The wave pattern shape = 5

Step-by-step explanation:

Let the pentagon shape = w, the star shape = x, the curl shape = y, and the wave pattern shape = z

Horizontally, we have;

w + 2·x + y = 23.....(1)

2·y + 2·z = 16...........(2)

2·z + w + x = 24.. ..(3)

3·y + x = 15..............(4)

Vertically, we have;

2·x + z + y = 20.......(5)

2·y + w+ z = 19........(6)

From the above equations, we have;

From equation (4), we have x = 15 - 3·y

From equation (2), we have z = 8 - y

From equation (1), we have w = 23 - (2·(15 - 3·y) + y)

∴ w = 23 - 30 + 6·y - y = 5·y - 7

w = 5·y - 7

Substituting the above values for x, and z i equation (5) gives;

2·x + z + y = 2·(15 - 3·y) + 8 - y + y = 20

30 - 6·y + 8 - y + y = 20

6·y = 30 + 8 - 20 = 18

y = 18/6 = 3

y = 3

w = 5·y - 7 = 5×3 - 7 = 8

w = 8

z = 8 - y = 8 - 3 = 5

z = 5

x = 15 - 3·y = 15 - 3×3 = 15 - 9 = 6

x = 6

Therefore, we have;

w = The pentagon shape =8

x = The star shape =6

y = The curl shape = 3, and

z = The wave pattern shape =5

The number of each of the four given shapes filled in the rows and columns are;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

From the diagram, we see four shapes and so let us identify them with letters;

Inscribed pentagon shape = a

Star shape = b

Spiral shape = c

Waves inside rectangle shape = d

For the first row, we see 2 stars, one inscribed pentagon and one spiral shape. Thus;

a + 2b + c = 23   .....(eq 1)

For the second row, we see 2 spiral shapes and 2 Waves inside rectangle shape. Thus;

2c + 2d = 16  ......( eq 2)

For the third row, we see 1 star, one inscribed pentagon  and 2 Waves inside rectangle shape. Thus;

a + b + 2d = 24 ....(eq 3)

For the fourth row, we see 3 spiral shapes and one star shape. Thus;

b + 3c = 15 ....(eq 4)

Looking at the columns, we see that;

First column;

2c + a + d = 19  ....(eq 5)

Second column, we have;

2b + c + d = 20  .....(eq 6)

From eq 4; b = 15 - 3c

From eq 2, we have; d = 8 - c

Putting them in eq 1 gives;

a + 2(15 - 3c) + c = 23

a + 30 - 6c + c = 23

a = 5c - 7

Putting d = 8 - c and a = 5c - 7 into eq 5 gives;

2c + 5c - 7 + 8 - c = 19

6c + 1 = 19

6c = 18

c = 3

Put 3 for c in a = 5c - 7

a = 5(3) - 7

a = 8

Put 3 for c in b = 15 - 3c

b = 15 - 3(3)

b = 6

Put 3 for c in d = 8 - c

d = 8 - 3

d = 5

Thus, we have;

8 inscribed pentagon shape

6 star shapes

3 spiral shapes

5 Waves inside rectangle shape

Read more at; https://brainly.com/question/18452224

The function f(t) = |98.6-x|, represents a persons's variance from normal body temperature, where x represents a person's current body temperature in degrees Fahrenheit. Medical professionals say healthy individuals should have a variance of no more than 0.5 degrees Fahrenheit.

Answers

Answer:

98.1°F ≤ x ≤ 99.1°F

Step-by-step explanation:

Given the function:

f(x) = |98.6 - x|

Variance = 0.5

98.6°F - x = ± 0.5

Lower bound :

98.6 - 0.5 ≤ x

98.1 ≤ x

Upper bound :

x ≤ 98.6 + 0.5

x ≤ 99.1

Hence,

98.1°F ≤ x ≤ 99.1°F

A purse is on sale for $25.60. If the original price of the purse was $32.00,what is the percent of discount?

Answers

Answer:

20%

Step-by-step explanation:

The dollar amount of the discount is $32.00 - $25.60 = $6.40

Now we need to find what percent of $32.00 is $6.40.

To find what percent a part is from a whole, divide the part by the whole and multiply by 100%.

percent = part/whole * 100%

part = $6.40

whole = $32.00

percent = $6.40/$32.00 * 100%

percent = 20%

A restaurant manager states the number of customers that enter the restaurant is equal to 4

times the number of people that buy a hotdog from the hotdog cart plus 11. The manager also

states that the number of customers that enter their restaurant is equal to 1 times the number of

people that buy a hotdog from the hotdog cart plus 38. What number of people buying a hotdog

from the hotdog cart across the street makes the equation 4x + 11 = 1x + 38 true? Round

your answer to the nearest whole number.

Answers

Answer:

9

Step-by-step explanation:

No of customers that enter the restaurant is equal to 4 times the number of people that buy a hotdog from the hotdog cart plus 11.

The number of customers that enter their restaurant is equal to 1 times the number of  people that buy a hotdog from the hotdog cart plus 38.

The equation that shows the given condition,

4x + 11 = 1x + 38

x is the no of people

Taking the like terms,

4x-1x=38-11

3x=27

x = 9

So, there are 9 people buying a hotdog  from the hotdog cart.

Consider the triangle.
Which shows the order of the angles from smallest to
largest?
O angle A, angle B, angle C
O angle B, angle A, angle C
O angle B, angle C, angle A
O angle C gle A, angle B

Answers

Answer:

c.gle c.angel B

Step-by-step explanation:

consider the triangle which shows the order of the angles from smallest to largest?

The diameters of trees at a nursery are Normally
distributed with a mean of 2.5 inches and a standard
deviation of 0.5 inches.
X-
Calculate the Z-score for a tree that has a diameter of
1.83 inches. Round the Z-score to the nearest
hundredth, if necessary.
The Z-score for a tree that has a diameter of 1.83 inches
is about...?

Answers

Answer:

-1.34

Step-by-step explanation:

Help me pleaaaaaaassssssssseeeeeeee

Answers

Answer:

+29

Step-by-step explanation:

(-)(-)=+

Tavon has a gist card for $145 that losses $3.50 for each 30-day period is not used. He has another gift card for $125 that losses $3 for each 30-day period it is not used. A. Write and solve an equation for the number of 30-day periods until the value of the gift cards will be equal. B. What will the value of each card be when they have equal value?

Answers

Step-by-step explanation:

A. For Tavon's gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=145-3.5x------1

for Tavon's second gift card the equation is

let y be the total amount

let x be the number of 30 day period

y=125-3x-------------2

B. equating 1 and 2 we have

145-3.5x=125-3x

solve for x we have

145-125=-3x+3.5x

20=0.5x

divide both sides by x we have

x=20/0.5

x= 40

put x=40 in

y=145-3.5*40------1

y=145-140

y=$5

put x=40 in

y=125-3*40------1

y=125-120

y=$5

please help i don’t know how to find the slope

Answers

Y= mx+b is the formula for writing and equation for slope.


M= slope
B= y-intercept

You replace the m and b with the info given to you in the problem.

Answer: y = -3/4x -6

A high school track is 9.76 meters wide. It is divided into 8 lanes of equal width for
track and field events. How wide is each lane?

Answers

Answer:

1.22

Step-by-step explanation:

9.76/8

Answer: 1.22 Explanation to my answer: 9.76/8

Please help or i get a detention!

Answers

Answer:

a) Angle XBC = 55⁰ because its correspond to Angle AXY which is equal to 55⁰ and corresponding angles are equal.

b)Angle BXC = 70⁰

Step-by-step explanation:

b) Since XB = XC, triangle BXC is therefore an isosceles triangle.

Angle XBC = Angle XCB

Sum of interior angles of a triangle = 180⁰

55⁰ + 55⁰ + Angle BXC = 180⁰

110⁰ + Angle BXC = 180⁰

Angle BXC = 180⁰- 110⁰

= 70⁰

Can you help, Solve for x. -2 + 3x = 2х + 6 +
X

Answers

Answer:

trick question

Step-by-step explanation:

The equation cannot be answered since if you add like terms you have 3 x on each side but different total values

please help me and don't just write a random answer for the points. thank you

Answers

Answer:

If A, C, and D are each 13 then if i answer this problem i will get 5 points sooo goodluck

Step-by-step explanation:

Zoe buys gummy bears that come in 3.53 once bags how many ounces of gummy bears are there win 3 bags?

Answers

Answer:

10.59

Step-by-step explanation:

3.53×3

At the grocery store, Jerry spent $24.75 for 3 pounds of chicken and 3 pounds of cheese. The cheese cost $4.50 per pound. What was the cost of the chicken
per pound?

Answers

Answer:

$3.75 per pound of chicken

Step-by-step explanation:

Price of 3 pounds of cheese      $ 4.50x3= $13.50  

$24.75-$13.50 = $11.25 (price of 3 pounds of chicken)

Chicken          : $11.25/ 3   =  $3.75 per  pound

$11.25 + $13.50 = $24.75

Please help me out with problem 2.

Answers

Image is too blurred.

Try taking another one.

Answer:

Step-by-step explanation:

I will be using all caps for variables

Solve for L

V = LWH

/ WH  /WH

V/WH = L

Solve for H

V = LWH

/LW  /LW

V/LW = H

Help? Someone please?!

Answers

Answer:

b, d,

Step-by-step explanation:

The answer is B or d

1)
What number is 4 times as many as 25?

Answers

Answer:

100

Step-by-step explanation:

Johnny scored a 75% on his math test. He got 18 questions
correct. How many questions were on the test? *

Answers

the answer to this question is 24

Answer:

24

Step-by-step explanation:

18/24=0.75

Hope this helps!

Convert 5/8 into a denominator of 100

Answers

U can use the cross multiplication to find out

5/8 = x/100

x=5/8 * 100

x= 62.5

Your final answer: 62.5/100

Hope this does it

P.S

Plz mark brainliest?

Round 685,135 to the nearest ten thousand.

Answers

685,135>684,999 so it’s rounded up to 690,000

Answer:

690,000

Step-by-step explanation:

The 8 is the ten thousands place- 685,135

If the number after the 8, (in this case 5) is 0-4, round to 8. If the number after the 8 is 5-9, round up to 9.

Cantrise surveyed 100 students about their favorite
type of music. After she makes the graph, she receives
two more votes for rap. What is the new ratio of rap to
total types of music?

Answers

Answer: 2:100

Step-by-step explanation:

A computer technician charges $75 for a consultation plus $35 per hour. Write the linear equation that models this situation.

Answers

The answeris : y=35x+75

Ben and Jerry together own 75 comic books. If Ben owns 31 comic books, how many does Jerry own?

Answers

Answer:

44

Step-by-step explanation:

75-31=44

Answer:

44 books

Step-by-step explanation:

75-31=44

simple math

what is 1+3x when x=1

Answers

Answer:

4

Step-by-step explanation:

1+3*1

3*1=3

3+1=4

Answer:

the answer is 4

Step-by-step explanation:

you do 3 times 1 witch is 3 then add 1 also hears a tip always do multiplication and division first

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