Solve for all values of x by factoring.
x^2 – 3x – 1= -3x + 3


Answers

Answer 1

Answer:

x^2-3x-1+3x-3=0

x^2-4=0

x^2=4

X=2,,X=-2

Answer 2

Answer:

x = ± 2

Step-by-step explanation:

Given

x² - 3x - 1 = - 3x + 3 ( subtract - 3x + 3 from both sides )

x² - 4 = 0 ( add 4 to both sides )

x² = 4 ( take the square root of both sides )

x = ± [tex]\sqrt{4}[/tex] = ± 2

Solution is x = - 2, x = 2


Related Questions

A line has a slope of 1 over 4 and passes through the point 0.2 4 over 5 find the value of b , the y intercept

Answers

Answer:

it equals 7

Step-by-step explanation:

jeremy can row 2/3 of a mile in 1/4 of an hour. what is the unit rate that describes miles per hour?

Answers

Answer:

2.66 miles per hour

Step-by-step explanation:

In order to find the unit rate, you have to divide the two units.

2/3 / 1/4 =

2/3 * 4 = 8/3 or 2.66 mph

ILL GIVE BRAINIEST TO WHOEVER IS CORRECT!! PLEASE HELP ASAP!!

Answers

Answer:

Step-by-step explanation:

Solve each Algebraic Equation
x-27=56

y+14=83

k+53=124

a-27=90

q+67=118

35+x=44

58+p=16​

Answers

Answer:

x=83

y=69

k=71

a=117

q=51

x=9

p=-42

Step-by-step explanation:

Use the graph shown to fill in the blank.


When x = -3, then y =

Answers

Answer:  y = -6

==========================================================

Explanation:

Draw a vertical line through -3 on the x axis

This vertical line crosses the diagonal line at point P as shown in the diagram below.

Draw a horizontal line from point P to the y axis to get to y = -6

This shows that (x,y) = (-3,-6) is a point on the diagonal line.

Mia and her children went into a grocery store and where they sell apples for $2 each and mangos for $1.50 each. Mia has $20 to spend and must buy no less than 9 apples and mangos altogether. If Mia decided to buy 3 mangos, determine the maximum number of apples that she could buy.

Answers

The maximum number of apples that she can buy is 7.75.

We are given that:

- Apples cost $2 each.

- Mangos cost $1.50 each.

- Mia has $20 to spend.

- Mia must buy no less than 9 apples and mangos altogether.

- Mia decided to buy 3 mangos.

Now,

we can write the following system of equations:

[tex]$\begin{cases}2a + 1.5m \leq 20\\a + m \geq 9\\m = 3\end{cases}$[/tex]

Substituting $m = 3$ into the second equation, we get:

[tex]$a + 3 \geq 9 \Rightarrow a \geq 6$[/tex]

So, Mia must buy at least 6 apples.

To determine the maximum number of apples that she could buy, we can substitute m = 3 into the first equation and solve for a:

[tex]$2a + 1.5(3) \leq 20 \Rightarrow a \leq \frac{20 - 4.5}{2} = 7.75$[/tex]

Therefore, by equation answer will be 7.75.

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What is greater 5/8 or 60%

Answers

Answer: 5/8 :)

Step-by-step explanation:

Answer:

5/8

Step-by-step explanation:

Using long division 5/8= 0.625. which as a percentage is 62.5%

62.5%>60%

use a common denominator to find -1¼+(-⅜).​

Answers

Answer:

[tex] - 1\frac{5}{8} [/tex]

Step-by-step explanation:

[tex] = - 1 \frac{1}{4} + ( - \frac{3}{8} )[/tex]

[tex] = - \frac{5}{4} + ( - \frac{3}{8} )[/tex]

[tex] = \frac{ - 10 + ( - 3)}{8} [/tex]

[tex] = - \frac{13}{8} [/tex]

[tex] = - 1 \frac{5}{8} [/tex]

Detail :

________________________________________

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Which of the following will result in a rational number? Select all that apply.
A. 645+9√4

B. 645−5√7

C. 645×9√4

D. 645÷5√7


help me please

Answers

Step-by-step explanation:

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. so i think B and D

The given numbers  645+9√4 and 645×9√4 are rational numbers.

Option A and C are correct.

Rational number :

A rational number is a number that is expressed as the ratio of two integers, where the denominator should not be equal to zero.

The given options are,

A.  645+9√4 = 645 + (9*2) = 645 + 18 = 663

Since above number can be expressed as the ratio of the integers.

So that, given number is rational number.

C.  645×9√4 = 645 * 9 * 2 = 11,610

Since above number can be expressed as the ratio of the integers.

So that, given number is rational number.

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(4r 2 −3r+2)−(−r 2 −3r)

Answers

I think this is the answer because I don’t know if the 2s after the r are exponents 5r^2+2

51/8 times 17/4and simplified

Answers

Answer:

27 3/32

Step-by-step explanation:

Answer:

It's 30  27/28

Step-by-step explanation:

If you multiply 51*17 and 7*4 you get 867/28 which equals 30  27/28

how to do this? Angles ?

Answers

It’s already labeled..

Multiply, or add the numbers labeled on them. It’s really not about the angles

Sorry I didn’t really give you an answer but I hope this helped!

solve for x 3/2 + 1/2 x = 2X

Answers

5-x>x+1
Thats the answer

Answer:

x=1

Step-by-step explanation:

3/2+ 1/2= 2x

2=2x

then u swap the sides

2x=2

divide both sides by 2

x=1

PLEASE HELP WILL MARK BRAINLEST IF RIGHT***** Write the contrapositive of the given statement: If m∠B=90°, then ∠B is a right angle. *

Answers

9514 1404 393

Answer:

  if ∠B is not a right angle, then m∠B ≠ 90°.

Step-by-step explanation:

The contrapositive of ...

  If P, then Q.

is ...

  If not Q, then not P.

__

Here, we have ...

  P = m∠B = 90°   ⇒   not P = m∠B ≠ 90°

  Q = ∠B is a right angle   ⇒   not Q = ∠B is not a right angle

Then the contrapositive is ...

  If ∠B is not a right angle, then m∠B ≠ 90°.

What is
7x - 4 = 21 ?

Answers


7x= 21+4
7x=25
X= 25/7

Answer: x=4.2

Step-by-step explanation:add 4 to both side .you have 7x=25.Now divide which gives u 4.2 .

5/2 divided by 5/7 this is dividing fractions

Answers

Answer:

7/2

Step-by-step explanation:

you multiply 5/2×7/5 to divide fractions

Final Answer:

7/2

Step-by-step explanation:

5/2 ÷ 5/7

5/2 ÷ 7/55/2 × 7/5 = 35/10

35/10 ⇒ 7/2

Tavon has a gift card for 115 that loses 2.50 for each​ 30-day period it is not used. He has another gift card for 95 that loses 2 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?

If x is the number of​ 30-day periods, then the equation _____
nothing can be used to find the number of​ 30-day periods until the values of the gift cards will be equal

Answers

Answer:

a) Equation: 115 - 2.5x = 95 - 2x

ii) x = 40

b) The value of each gift card for which they'll be equal = 15

Step-by-step explanation:

a) Equation for the number of 30 days until the value of the gift cards are equal:

card 1: gift card for 115 that loses 2.50 for each​ 30-day period

115 - 2.5x - - - - (1)

card 2: gift card for 95 that loses 2 for each​ 30-day period

95 - 2x - - - - - - (2)

equation for the number of 30 day period (x) for which the amount on card 1 is eqaul to the amount on card 2 is given by:

115 - 2.5x = 95 - 2x

making x the subject of the formula:

115 - 95 = -2x + 2.5x

20 = 0.5x - - - - (i)

x = 20 ÷ 0.5

x = 40

b) the value on the gift card

From expression 1 above; 115 - 2.5x

where x = 40

115 - 2.5x = 115 - 2.5(40)

= 115 - 100 = 15

from expression (2); 95 - 2x

95 - 2(40) = 95 - 80 = 15

∴ The value of each gift card for which they'll be equal = 15

Anthony charges $15 an hour for tutoring and $10 an hour for babysitting. He can work no more than 14 hours a week. How many hours should Anthony spend on each job if he wants to earn at least $125 each week?

Select a system of inequalities to represent the situation. Let x represent hours of tutoring and y represent hours of babysitting.

A)
x+y≤14; 10x+15y≥125.
B)
x+y≤14; 15x+10y≥125.

C)
x+y≥14; 15x+10y≥125.

D)
x+y≤125; 15x+10y≥14.

Answers

Answer:

Step-by-step explanation:

C

The system of inequalities representing the given situation is x + y ≥ 14; 15x + 10y ≥ 125. which is the correct answer would be an option (C)

What is inequality?

Inequality is defined as mathematical statements that have a minimum of two terms containing variables or numbers that are not equal.

To determine the number of hours should he spend on each job if he wants to earn at least $125 each week.

Let the hours of tutoring would be x

And y the hours of babysitting would be y

Given that He can work no more than 14 hours a week.

So inequality as per the above situation is: x + y ≥ 14

Since he charges $15 an hour for tutoring and $10 an hour for babysitting.

If he wants to earn at least $125 each week.

So inequality as per the above situation is: 15x + 10y ≥ 125

Therefore, the correct answer would be option (C).

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Jill grew 5/8 of an inch last year. This year she has grown 1 1/4 inches. How much has she grown in all?

Answers

In all Jill has grown 1 7/8 inches

Answer:In all Jill has grown 1 7/8 inches

Step-by-step explanation:

i need some help. There are 96 strawberries in a basket. Each of 12 children received an equal number of the strawberries. Which equation gives s, the number of strawberries each child received?

Answers

The answer is letter b

B: S x 12 = 96

The same vocabulary test with 50 questions is given to 600 students from 5th to 10th grade and the number of correct responses is collected for each student in this group. The interquartile range is 40 correct responses. What would a box plot look like for the results of the vocabulary test?

Answers

Answer:

Please find attached the required box plot, which is described in the following section

Step-by-step explanation:

The boxplot will have values, due to the age difference of the test takers, which can be presented as follows;

50, 49, 46, 44, 35, 24, 14, 7, 6, 5

Therefore, we have the following 5 values as shown here, as well as others calculated through Microsoft Excel;

The maximum value = 50

The minimum value = 5

The third quartile, Q₃ = 46.75

The median, Q₂ = 29.5

The first quartile, Q₁ = 6.75

The box plot for the test scores for the vocabulary test with 50 questions administered to 600 students from the 5th to the 10th grade is included with the above answer.

For the function f(x) = 0.25 (x - 1) (x + 7) identify the vertex.

Answers

Answer:

Mark brainly then I will answer..

Please help brainiest is award!

Answers

Answer:

Hello!!! Princess Sakura here ^^

Step-by-step explanation:

The answer is Choice D because if you find the y-intercept, it turns out to be 6. So if you solve for y in choice D you will get that the equation is y=x+6.

It has all the information that was given to us. It has a slope of one and when you find the y-intercept you will see that it also has the y-intercept as 6.

y=x+6. First you put (-5,1) and slope of 1 in point slope form, which is y-y1=m(x-x1). So you plug in the numbers and get y-1=1(x+5). Also it’s plus 5 because it would’ve been minus negative 5 so they cancel each other out and become plus 5. Then you use distributive property to solve 1(x+5). Now your equation should look like this y-1=x+5. Now you add one to each sign because you do the opposite function. And you end up with y=x+5. I hope this helps!

Which statement is true about parallel lines?
A. They intersect and are coplanar.
B. They intersect, but are not coplanar.
C. They do not intersect, but are coplanar.
D. They do not intersect and are not coplanar.

Answers

Answer:

C( They do not intersect, but are coplanar

Step-by-step explanation:

Parallel lines are coplanar (they lie in the same plane) and never intersect.

The statement that is true about parallel lines is that they do not intersect, but are coplanar: Option C is correct.

Lines are 2-dimensional figures that are used to connect two on more points in a xy-plane.

For two lines to be parallel, this means that the lines;

cannot meet each other i.e. they can not intersectThey can lie on the same plane i.e they can be coplanar

Hence we can conclude that the statement that is true about parallel lines is that they do not intersect, but are coplanar.

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If a • b = 0, and a ≠ 0, then b = __

Answers

Answer:

it can be 0 or any number

Step-by-step explanation:

anything x 0 is 0

Which of the scatter plots below shows the most accurate line of best fit?


W.
X.

Y.
Z.
A.
X
B.
W
C.
Y
D.
Z

Answers

Answer:

W

Step-by-step explanation:

[tex]hii[/tex]

have a nice day ✌️✌️

hope this helps you ✌️✌️✌️

If the area of a square is 33 square inches, which is greater: the length of a side of the of a side of the square to the nearest tenth of an inch or the square root of 40?

Answers

Answer:

square root of 40  is greater than side of the square

Step-by-step explanation:

First we find square root of 40

[tex]\sqrt{40} = 6.325[/tex]

Now

given

area of a square is 33 square inches

we know area of square is side square

area of square  = [tex]side^2[/tex]

[tex]side^2 = 33\\\sqrt{side^2} = \sqrt{33}\\side = 5.745[/tex]

Thus, we see length side of square is 5.7 inches

and square root of 40 is 6.325

since

6.325 > 5.7

hence square root of 40  is greater

Answer:

40

Step-by-step explanation:

f(x) = 32^2+ 5x - 14
Find f(-9)

Answers

I believe the answer would be 4 sorry if it’s wrong

If an area can be washed at a rate of 3,600 cm2/minute, how many square inches can be washed per hour? Enter your answer with the correct number of significant digits. Use the equivalent measures indicated. (1 centimeter ≈ 0.39 inch, 1 hour = 60 minutes)

Answers

Answer:

276923 square inches

Step-by-step explanation:

I probably got it wrong to be honest

Examine the equation. − 1 3 ( 2 3 x + 5 ) = − 4 3 ( 1 2 x − 8 ) Which equation correctly uses the distributive property and properties of equality to isolate the variable term? Negative StartFraction 2 Over 9 EndFractionx -Five-thirds= -Two-thirdsx + StartFraction 32 Over 3 EndFraction -StartFraction 4 Over 9 EndFractionx =StartFraction 27 Over 3 EndFraction Negative StartFraction 2 Over 9 EndFractionx + Two-thirdsx - StartFraction 37 Over 3 EndFraction = 0 StartFraction 4 Over 9 EndFractionx =StartFraction 37 Over 3 EndFraction

Answers

Answer:

It is D.4/9x=37/3

Step-by-step explanation:

i took the test

Answer:

D

Step-by-step explanation:

edge2020

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