Find the missing factor
2x ^ 2 + 5x - 3 = (2x - 1)

Answers

Answer 1

Answer:

(x-3)

Step-by-step explanation:

2x²+5x-3=x² +x−6x−3 =x(2x+1)-3(2x+1) =(2x+1)(x-3)

Answer 2

The required missing factor is (x - 3).

Given the equation, 2[tex]x^2[/tex] + 5x - 3 = (2x - 1).

To find the missing factor in the equation 2x^2 + 5x - 3 = (2x - 1), to factorize the quadratic equation on the left side and compare it to the given factor (2x - 1).

The factors will have the form (ax + b)(cx + d), where a, b, c, and d are constants.

To find values for a, b, c, and d such that (ax + b)(cx + d) is equal to

2[tex]x^2[/tex] + 5x - 3.

To determine the values of a, b, c, and d, we can use the FOIL method (First, Outer, Inner, Last). FOIL involves multiplying the first terms, the outer terms, the inner terms, and the last terms of the two binomials.

Factorize the quadratic equation:

2[tex]x^2[/tex] + 5x - 3

(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 5x - 3

Expanding the left side using FOIL:

(2x - 1)(cx + d) = 2[tex]x^2[/tex] + 6x - x - 3

Combining like terms on the right side:

(2x - 1)(cx + d) = 2x( x  -  3) -1 (x - 3)

Combining like terms on the right side:

(2x - 1)(cx + d) = (2x - 1)(x - 3)

By comparing the coefficients of the terms on both sides of the equation, determine the missing factor. Observe that the coefficient of x^2 is 2 on both sides, and the coefficient of x is -1 on both sides.

Therefore, the missing factor is (x - 3).

Hence, the complete factorization of the quadratic equation

2[tex]x^2[/tex] + 5x - 3 = (2x - 1)(x - 3).

Learn more about factoring quadratic equations click here:

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Related Questions

Help solve this I’m not sure if my answer was right. Pythagorean theorem.

Answers

Answer:

C. since 8, 15, 17 are pythagorean triples

whoever gets this corrects gets brainliest!!!

Answers

Answer:

d

Step-by-step explanation:

the submarine is below water so that's considered a negative and the number in  the equation is negative 3. and if you keep multiplying a positive by a negative the number stays negative and thats the submarine getting deeper and deeper into the ocean if that makes sense.

D
The others represent positive change

Marcus receives an inheritance of ​$3,000. He decides to invest this money in a 11 ​-year certificate of deposit​ (CD) that pays 5.0 ​% interest compounded monthly. How much money will Marcus receive when he redeems the CD at the end of the ​11 years?

Answers

......:............................:.:.:...................

Marcus will receive $5,193.82 when he redeems the CD at the end of the ​11 years.

What is compound interest?

Compound interest is computed as interest on the principle of an account plus any accrued interest.

Compound interest can be calculated using the following formula:

A=P(1+r/n[tex])^{nt}[/tex]

Where:

A = the future value of the investment or loan

P = the principal investment or loan amount

r = the interest rate (decimal)

n = the number of compound periods

Marcus receives an inheritance of ​$3,000.

He decides to invest this money in an 11 ​-year certificate of deposit​ (CD) that pays 5.0 ​% interest compounded monthly.

P = $3,000

r =5%

t = 11 years

A=P(1+r/n[tex])^{nt}[/tex]

Substitute the values of P, r and t in the formula,

First, convert R as a percent to r as a decimal

r = R/100

r = 5/100

r = 0.05 rate per year,

Then solve the equation for A

A=P(1+r/n[tex])^{nt}[/tex]

A = 3,000.00(1 + 0.05/12[tex])^{(12)(11)}[/tex]

A = 3,000.00(1 + 0.0041666666666667[tex])^{132}[/tex]

A = $5,193.82

Therefore, Marcus will receive $5,193.82.

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The ages of a group of randomly selected adult females have a standard deviation of years. Assume that the ages of female statistics students have less variation than ages of females in the general​ population, so let years for the sample size calculation. How many female statistics student ages must be obtained in order to estimate the mean age of all female statistics​ students

Answers

Answer:

Assume that we want 90% confidence that the sample mean is within one-half year of the population mean. Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? The required sample size is . (Round up to the nearest whole number as needed.) Does it seem reasonable to assume that the ages of female statistics students have less variation than ages of females in the general population? A. Yes, because statistics students are typically younger than people in the general population. O B. No, because there is no age difference between the population of statistics students and the general population. O C. No, because statistics students are typically older than people in the general population.

Step-by-step explanation:

♥☺

Please help! you will get 'Brainliest' if you do.

Answers

Answer:

D is correct, based on my understanding

Step-by-step explanation:

What is the length of AC?

Answers

Answer:

2nd option

;)

I did this before-

Step-by-step explanation:

Given the data set below, the median of the data set is . 11, 17, 6, 12, 3

Answers

the median would be 9.8

A hiker begins at 2,000 feet above sea level and takes a break at 1,600feet above sea level. What is the hiker change in elevation?

Answers

The hikers change in elevation is 400 feet.

Since they are both above sea level, all you would do is subtract

2000-1600=400

URGENT 100 POINTS (all fake answers will be removed and i will take the points back)

Quadrilateral ABCD ​ is inscribed in circle O.



What is ​ m∠A ​ ?

Answers

Answer:

42 degrees (check attachements) hope it helps!

Step-by-step explanation:

Answer:

42

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary. We use that information and angles B and D to find the value of x. Then we use the value of x to find the measure of angle A.

m<B + m<D = 180

2x + 3x - 5 = 180

5x = 185

x = 37

m<A = x + 5

m<A = 37 + 5

m<A = 42

Help ASAP
Here is a system of linear equations: -2x + y = 7
6x + y = 11
What is the solution to the system of equations shown?
A
(1/4, 7 1/2)
B.
(2, 11)
c.
(1/2, 8)
D.
(3, -7)
Yes

Answers

Answer:

c. (1/2, 8)

Step-by-step explanation:

To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

-2x + y = 7

Step 1: Subtract y from both sides of the equation.

-2x = -y + 7

Step 2: Divide both sides by -2

x = 1/2y - 7/2

Substitute what you see above this statement for y in the other equation.

6(1/2y - 7/2) + y = 11

Step 3: Multiply 6 by 1/2y - 7/2.

3y - 21 + y = 11

Step 4: Combine y and 3y.

4y - 21 = 11

Step 5: Add 21 to both sides

4y = 11 + 21

4y = 32

Step 6: Divide both sides by 4.

y = 32/4

y = 8

Step 7: Substitute 8 for y in x = 1/2y - 7/2 Because the resulting equation contains only one variable, you can solve for x directly.

x = 1/2(8) - 7/2

Step 8: Multiply 1/2 by 8.

x = 4 - 7/2

Step 9: Add -7/2 to 4.

x = 1/2

The system is now solved, and we get C (1/2, 8) as our answer.

Answer:

C

Step-by-step explanation:

I did the test myself

PLEASE HELP! It’s super important!

Answers

Answer:

2. a. - 1b.[tex] - \frac{2}{3} [/tex]3. a. 4b. 6

Step-by-step explanation:

[tex]2. \: a. \: \sqrt[3]{ - 1} [/tex]

[tex] = \sqrt[3]{( - 1 )\times ( - 1 )\times( - 1)} [/tex]

= -1 (Ans)

[tex]b. \: \sqrt[3]{ - \frac{8}{27} } [/tex]

Since,

[tex] \sqrt[3]{ - x} = - \sqrt[3]{x} [/tex]

Hence,

[tex] = - \sqrt[3]{ \frac{8}{27} } [/tex]

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

[tex] = - \frac{2}{3} (ans)[/tex]

[tex]3. \: a. \: 10 - 2 \sqrt{9} [/tex]

[tex] = 10 - 2 \sqrt{3 \times 3} [/tex]

= 10 - 2 × 3

= 10 - 6

= 4 (Ans)

[tex]b. \: 70 - {( \sqrt[3]{64} )}^{3} [/tex]

[tex] = 70 - \sqrt[3]{ {64}^{3} } [/tex]

[tex] = 70 - \sqrt[3]{64 \times 64 \times 64} [/tex]

= 70 - 64

= 6 (Ans)

Ashley bought 2 1/7 lb of tomatoes, 3 2/3 lb of lettuce, and 3 1/3 lb of spinach to make a salad. How many pounds of vegetables did she buy?

Answers

9 1/7 lb

You can convert the mixed numbers to solve it easier! :)

*EXTRA POINTS* please answer #5 and #6

Answers

Answer:

5, (0, -2)

6, (4, 9)

Step-by-step explanation:

Rewrite the expression by combining like terms. 3y + 5x2 + 10x + 2x2 + 15x – 3y​

Answers

Answer:

7x²+ 25x

Step-by-step explanation:

what is the product of the polynomials? (3x-2)(12x+7)

Answers

Answer:

36x²-3x-14

Step-by-step explanation:

(3x-2)(12x+7)

36x²+21x-24x-14

36x²-3x-14

Here is it 13 more to go

Answers

Step-by-step explanation:

Formula for simple interest:

[tex]a = p(1 + rt)[/tex]

where

a = final amount

p = principal amount

r = interest rate per annum

t = time in years

Now, we are finding a, the final amount, and given,

p = $650

r = 5.5% (5.5/100)

t = 4 years

[tex]a = 650(1 + (\frac{5.5}{100} )(4)) \\ = 650(1 + (0.055)(4)) \\ = 650(1 + 0.22) \\ = 650(1.22) \\ = 793 \: dollars[/tex]

Answer:

C.$793

Step-by-step explanation:

were looking to 5.5% of 650 but in order to do that first we need to find 1%, we can do that by dividing by 100

650=100%

/100  /100

6.5=1%

now we can multiply by 5.5 to get 5.5%

6.5 = 1%

x5.5 x5.5

35.75=5.5%

now we are looking to find how much money is in the account total after 4 years

so the equation is

(35.75x4)+650

143+650

$793 in total

Cindy owns a rectangular lot that is 18 yards long and 45 feet wide.
She is going to cover the lot with square pieces of sod. If the sod costs $12 per square yard, how much will Cindy pay to completely cover the lot with sod?

Answers

Answer:

$3240

Step-by-step explanation:

First you need to find the area of that lot. Area of a rectangle = length x width. But you also have mixed units...yards and feet. Since the price of the sod is in square yards, we'll convert the 45 feet to yards. 3 feet = 1 yard, so divide 45 by 3, = 15 yards.

18 x 15 = 270 square yards

then you multiply that by the $12/square yard

270 x 12 = $3,240

Please lmk if you have questions

Answer:

270$

Step-by-step explanation:

0.73 recurring can be writeen as 11/15

Answers

Answer:

yes , see explanation

Step-by-step explanation:

We require 2 equations with the recurring 3 placed after the decimal point.

let x = 0.7333..  ( multiply both sides by 10 and 100 )

10x = 7.333... → (1)

100x = 73.333.... → (2)

Subtract (1) from (2) , eliminating the recurring 3

90x = 66 ( divide both sides by 90 )

x = [tex]\frac{66}{90}[/tex] = [tex]\frac{11}{15}[/tex]

tell whether a triangle can have the given angle measures:
51°, 92°, 48°

Answers

Answer:

no

Step-by-step explanation:

since the sum of the angles is 197°

it cannot have the given angle measures

Answer:

No

Step-by-step explanation:

The angles of a triangle should sum up to 180.

But the is 191°

The first four terms of an arithmetic sequence are shown below.
1, 5, 9, 13,......

(a) Write down the nth term of the sequence (general formula).

(b) Calculate the 100th term of the sequence.

(c) Find the sum of the first 100 terms of the sequence.

Answers

Answer:

a) n = 4(n-1)+1    

b) 397

c) 19900

Step-by-step explanation:

Answer question for brainleist

Answers

Answer:

m<D = 52°

Step-by-step explanation:

x + 20 + 3x + 32 = 180

4x + 52 = 180

4x = 128

x = 32

m<D = x + 20 = 32 + 20 = 52°

What is 20% off a 15$ shirt?

12.50
12
10

Answers

Answer:

12

Step-by-step explanation:

15 multiplied by 20% is 3

Subtract 3 from 15 and you get 12

please helpppppppppp

Answers

Answer:

x=20 y=34

Step-by-step explanation:

x+14=2x-6

x=20

(20)+14=y

y=34

cuanto mide diametro si el radio es de 11 pulgadas? ;-;

Answers

Answer:

14 pulgadas

Step-by-step explanation:

a 7 pulgadas, entonces el diámetro es 2(7) = 14 pulgadas.

i-Ready
Ron is paid $1,500 every month plus an additional $100 bonus for every tractor he sells, 2. Which equation represents the total amount of money, y, Ron makes each
month?
PLEASE ANSWER ASAP!

Answers

Answer: y= 100x +1500

Step-by-step explanation:

The 1500 value never changes, so it doesn’t need a variable

The 100 value will change based on how many he sells, so it needs a variable

Answer:

its the first one.

Step-by-step explanation:

the 1500 stays the same so it would be 100×how ever many tractors so 100z+1500

GIVING BRAINLIEST!!!!!

What type of triangle is shown in the image?

Acute triangle
Right triangle
Equilateral triangle
Obtuse triangle

Answers

Answer:

Well wheres the image?

Step-by-step explanation:

Answer:

Obtuse triangle

Step-by-step explanation:

Someone said so

I need help on this one please

Answers

Answer:

C

Step-by-step explanation:

Grade For This Paper
U
Submit Answer
49/
Grade For This Exam Series
U
4
6.
4
Here are the first 4 terms of a sequence.
3 11 19 27
a) (i) Write down the next term in the sequence.
(1)
(ii) Explain how you got your answer.
(1)
b) Work out the 10th term of the sequence.
(1)
Total marks: 3
G
L
S
SIN
А о
8:29​

Answers

Answer:

that is b

Step-by-step explanation:

A graph of a system of two equations is shown.
What is the solution of the system? HELP!!!!!

Answers

Answer:

can you just mark me brainleyest.

Step-by-step explanation:

A cylinder has a base radius of 3 inches and a height of 3 inches. What is its volume in cubic inches, to the nearest tenths place?

Answers

84.8 is the answer hope this helps
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