Factor the expression.
3x2 + 7x-6

Answers

Answer 1

Answer:

this answer is. _48 am I right

Answer 2

the factored form of the expression [tex]\(3x^2 + 7x - 6\) is \((3x - 2)(x + 3)\).[/tex]

To factor the expression [tex]\(3x^2 + 7x - 6\),[/tex] we need to find two numbers that multiply to give [tex]\(3 \times (-6) = -18\)[/tex] and add to give the middle coefficient, (7)

The two numbers that meet these criteria are [tex]\(9\) and \(-2\).[/tex]

Now, we can rewrite the middle term \(7x\) as the sum of these two terms:

[tex]\[3x^2 + 9x - 2x - 6\][/tex]

Next, we group the terms and factor by grouping:

[tex]\[3x(x + 3) - 2(x + 3)\][/tex]

Now, we can factor out the common factor [tex]\(x + 3\):[/tex]

[tex]\[(3x - 2)(x + 3)\][/tex]

So, the factored form of the expression [tex]\(3x^2 + 7x - 6\) is \((3x - 2)(x + 3)\).[/tex]


Related Questions

Plzzzz help ASAP!!!

Answers

Answer:

(4y +8 )÷6 -12

Variable = y

Sum = 4y +8

Quotient = 6

coefficient =4

4. (3x² + 3x-2) + (3x² - 5x - 3)
2​

Answers

Answer:

6x^2-2x-5

Step-by-step explanation:

(3x^2+3x-2)+(3x^2-5x-3)

3x^2+3x^2+3x+(-5x)-2+(-3)

6x^2+3x-5x-2-3

6x^2-2x-5

Which of the following describes how to translate the graph y = Ixl to obtain the graph of y = 1x - 11 - 1?
1 unit left and 1 unit down
1 unit left and 1 unit up
1 unit right and 1 unit down
1 unit right and 1 unit up

Answers

A statement that best describes how to translate the graph y = Ixl to obtain the graph of y = |x - 1| - 1 is: C. 1 unit right and 1 unit down.

In Mathematics, the vertex form of the equation for an absolute value function can be modeled by the following:

y = a|x - h| + k.

Where:

h and k are the vertex of the graph.a is a numerical constant.

By critically observing the equation of the transformed absolute value function, we can logically deduce that the parent absolute value function y = |x| was horizontally shifted to the right by 1 unit and then vertically shifted 1 unit down as follows;

y = a|x - h| + k.

y = |x - 1| - 1

Complete Question:

Which of the following describes how to translate the graph y = Ixl to obtain the graph of y = |x - 1| - 1?

1 unit left and 1 unit down

1 unit left and 1 unit up

1 unit right and 1 unit down

1 unit right and 1 unit up

Determine if Set of Points is a Function
Nov 25, 1:55:25 PM
Which set of ordered pairs does not represent a function?
{(5, -6), (-1, - 2), (2, –9), (–8, -2)}
{(-5, 7), (-4, -9), (–5, – 4), (2, -6)}
{(-4,2), (-2,8), (-1,6), (5,6)}
{(2,2), (-4,9), (9, -3), (-3, 2)}
NA
Submit Answer

Answers

Answer:

{(-5, 7), (-4, -9), (–5, – 4), (2, -6)}

Step-by-step explanation:

In a function, no two points can have the same x-coordinates. In other words, all x-coordinates of the points must be different.

{(5, -6), (-1, - 2), (2, –9), (–8, -2)} : All x-coordinates are different: 5, -1, 2, -8. This is a function.

{(-5, 7), (-4, -9), (–5, – 4), (2, -6)} : Two x-coordinates are the same: -5, -5. This is not a function.

{(-4,2), (-2,8), (-1,6), (5,6)} : All x-coordinates are different: -4, -2, -1, 5. This is a function.

{(2,2), (-4,9), (9, -3), (-3, 2)}: All x-coordinates are different: 2, -4, 9, -3. This is a function.

Which phrase does NOT have the same meaning as -3/5?
A. Negative 3 times a number w
B. Negative 3 divided by a number w
C. A number w divided into negative 3
D. The quotient of negative 3 and a number w

Answers

Answer:

A

Step-by-step explanation:

You are dividing not multiplying

If the above cat measures 15 inches, how many centimeters (cm) is that, if 1 inch = 2.54 cm.Show how you got your answer please.

Answers

Answer:

Step-by-step explanation:

  Inch   =   Cm

        1   =   2.54

       15   =   ?

We have to find out the question mark. So to do this we have to find out how we got from 1 to 15. We did this by multiplying by 15.

Inch   =   Cm

        1   =   2.54

×15

       15   =   ?

So we must do the same on the other side.

         1   =   2.54

×15                 ×15

       15   =   ?

2.54×15=38.1

   1   =   2.54

×15                 ×15

       15   =   38.1

The answer is therefore 38.1cm

Hope this helped!

Write an equation in point-slope form for the line passing through the given point with the given slope. (5,2) m=3

Answers

Answer:

y - 2 = 3(x - 5)

Step-by-step explanation:

The equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

Here m = 3 and (a, b) = (5, 2), thus

y - 2 = 3(x - 5) ← equation of line

Answer:

y - 2 = 3(x - 5)

Step-by-step explanation:

Start with the general point-slope equation:

y - k = m(x - h)

Now substitute 2 for k, 5 for h and 3 for m:

y - 2 = 3(x - 5)

ax−by>c

Solve the following inequality for y, where a, b, and c are positive real ​numbers.

​Show all work and justify each step in the work with ​mathematical reasoning on the scratchpad.

Answers

Answer:

[tex]\large\boxed{y>\dfrac{c-ax}{b}}\\\text{for}\ a>0,\ b>0,\ c>0[/tex]

Step-by-step explanation:

[tex]ax+by>c\qquad\text{subtract}\ ax\ \text{from both sides}\\\\ax-ax+by>c-ax\\\\by>c-ax\qquad\text{divide both sides by}\ b\ (\text{we can, because}\ b>0)\\\\\dfrac{by}{b}>\dfrac{c-ax}{b}\\\\y>\dfrac{c-ax}{b}[/tex]

Final answer:

To solve the inequality ax - by > c for y, you first subtract ax from both sides which gives -by > -ax + c. Then you divide both sides by -b, remembering to flip the inequality sign, which gives y < (ax - c) / b.

Explanation:

To solve the inequality ax - by > c for y, you need to isolate y on one side of the inequality.

Subtract ax from both sides to move it away from the left side. The inequality becomes -by > -ax + c.Divide by -b. When you divide or multiply an inequality by a negative number, the direction of the inequality changes. So, the inequality becomes: y < (ax - c) / b.

This is the solution for the inequality in terms of y.

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Jayce is a taxi driver

M(n) models Jayce's fee(in dollars) for his nth drive on a certain day.
WHAT DOES THE STATEMENT M(10)= K MEAN??​

Answers

Answer:

Jayce's fee for his [tex]10^{th}[/tex] drive is equal to [tex]K[/tex] dollars.

Step-by-step explanation:

[tex]M(n)[/tex] models Jayce's fee (in dollars) for his [tex]n^{th}[/tex] drive on a certain day.

Substitute [tex]n=10,[/tex] then

[tex]M(10)[/tex] models Jayce's fee (in dollars) for his [tex]10^{th}[/tex] drive on a certain day.

This means Jayce's fee for his [tex]10^{th}[/tex] drive is equal to [tex]K[/tex] dollars.

Answer:

C

Step-by-step explanation:

Jayce's fee for his 10th drive is equal to K  dollars.

Answer the question Pls

Answers

Answer:

The first option:

Prove that the area of the two small squares combined is equal to the area of the larger square

Step-by-step explanation:

The Pythagorean Theorem in an equation would be:

a² + b² = c²

Where:

c = hypotenuse (longest side of the triangle)

a and b = two other legs of the triangle

The theorem states that the sum of the squares of the shorter sides is equal to the square of the longest side in a right triangle or a triangle that has a right angle (90°)

Let's say that we have a right triangle with the lengths of 3cm , 4cm, and 5cm.

(3cm)² + (4cm)² = (5cm)²

9cm² + 16cm² = 25cm²

25cm² = 25cm²

Look at the attached image to see what happens when we draw the squares of each leg.

What is slope of the line that passes through the point (0,7)and(8,7)

Answers

Answer:

0

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(7-7)/(8-0)

m=0/8=0

Answer:

0

Step-by-step explanation:

Find the x- and y-intercepts for the linear equation.

7x + 9y = 63




Answers

Answer:

x-intercept: (9,0)

y-intercept: (0,7)

Step-by-step explanation:

x-intercept: when y = 0

7x + 9(0) = 63

7x = 63

x = 9

y-intercept: when x = 0

7(0) + 9y = 63

y = 7

Answer:

x-intercept : (9,0)

y-intercept : (0,7)

Step-by-step explanation: To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

Hope this helps you out! ☺

Change the expression into a fraction:
(3x/2y+3) + (x^2+3x/4xy−3−2y+6x)

Answers

Answer:

[tex] \frac{3x}{2y + 3} + \frac{ {x}^{2} + 3x}{4xy - 3 - 2y+6x} [/tex]

combine like terms afterwards .. for the polynomial

Which best explains why -3 2/3 is a rational number

Answers

Step-by-step explanation:

it can be expressed in the form of p/q where p and q are co primes,

the basic definition of rational number

Answer:

it can be expressed as a fraction

Step-by-step explanation:

The circle in the figure below has a radius of r and center at C. The distance from A to B is x, the distance from A to D is y, and the length of arc BD is s. Redraw the figure, label it as indicated, and then solve the problem.

If A = 45°, s = 18, and r = 14, find y. (Round your answer to the nearest whole number.)

Answers

Answer: y=19

Step-by-step explanation:

The figure of the triangle is attached and we have the following data:

[tex]A=45\°[/tex]

[tex]s=18[/tex] is the length of arc

[tex]r=14[/tex] is the radius

This problem can be solved by the Law of Sines:

[tex]\frac{sin A}{r}=\frac{sin C}{y}=\frac{sin D}{r+x}[/tex]

In order to find [tex]C[/tex], we will use the formula of the length of arc:

[tex]s=\frac{2 \pi r C}{360\°}[/tex]

Then: [tex]C=\frac{360\° s}{2 \pi r}[/tex]

[tex]C=\frac{360\° (18)}{2 \pi (14)}=73.66\°[/tex]

Returning to the Law of Sines:

[tex]\frac{sin A}{r}=\frac{sin C}{y}[/tex]

Finding [tex]y[/tex]:

[tex]y=\frac{sin C r}{sin A}[/tex]

[tex]y=\frac{sin (73.66\°) 14}{sin (45\°)}[/tex]

Finally:

[tex]y=18.99 \approx 19[/tex]

The length of side y is approximately 19 units.

The problem can be approached using the Law of Sines, which relates the angles and sides of a triangle. Given the data:

Angle A (A) is 45°, the side opposite angle A (s) is 18 units, and the radius of the circumcircle (r) is 14 units.

This problem can be solved by the Law of Sines:

sinA / r = sinC / y= sin D/ r + x

To find the length of side y, we can first calculate the measure of angle C (C) by using the formula for the length of an arc:

s= 2πrC/ 360

Then:

C= 360 s/ 2πr

C= 360 (18) / 2π(14)

C= 73.66

Now, we can use the Law of Sines to find the length of side y. The Law of Sines states:

sinA / r = sinC / c

In this case, we want to find side y, which is opposite angle C:

sinA / r = sinC / y

Solving for y :

y = sinCr/ sinA

y= sin ( 73.66 )14/ sin 45

Finally:

y = 18.99 = 19

So, the length of side y is approximately 19 units.

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Find the slope of the line passing through (-10,5) , (5,5)?

Answers

Answer:

0

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

We have two points (-10, 5) and (5, 5).

Substitute:

[tex]m=\dfrac{5-5}{5-(-10)}=\dfrac{0}{15}=0[/tex]

The slope is equal 0. Therefore given line is a horizontal line.

The equation: y = 5

In order to teach high school, a teacher must have a college degree. Nathan is a high school teacher. Laura concludes that Nathan
must have a college degree.
This is an example of
A.
identifying a hypothesis.
B. inductive reasoning,
C.
identifying a conclusion
D. deductive reasoning.

Answers

Answer:

C

Step-by-step explanation:

That is her final answer.

D. Laura uses the information provided to deduce that Nathan has a college degree.

3 is less than or equal to 7+g

Answers

2≤4 so you have to do that by seeing that 3 iss less that 7

Only question 10. please

Answers

For a, the circle would be quadrupled and the circumference will also be doubled

For b, the circumference will also be tripled

Solve for x.
3x – 8 < 23 AND
- 4x + 26 > 6

Answers

Answer:

B. x < 5

Step-by-step explanation:

Lets go first with 3x – 8 < 23  then with - 4x + 26 > 6 and after that we put them together. (I will use the < > signs but as I see on the pictures these include the =, being less and greater OR equal).

3x – 8 < 23

Lets sum 8 in both sides:

3x < 23 +8

3x < 31

Now, divide both sides by 3:

3x/3 < 31/3

x < 31/3

Here we found one condition. Lets go with the other inequality for the other condition:

- 4x + 26 > 6

Lest sum 4x in both sides to get a potive x:

- 4x + 26 + 4x > 6 +4x

26 > 6 +4x

Now subtract 6 in both sides

26 - 6 > 6 +4x - 6

20 > 4x

Finally, divide both sides by 4:

20/4 > x or 5 > x (simplifying we get the second)

So, our second condition says that x must be less than 5.

So, putting both conditions together:

x < 5

x < 31/3 = 10.33

So, if x must be less than 5 and less than 10.33, is the same that saying that x mus be less than 5. We con obviate the condition that x must be less than 10.33 as it is included in the other. So our answer is:

x < 5

It is the option B in the image (remember I didnt use the less or equal sign because you didn't included it in the statement).

Distance to your brothers house is 552 miles, and the distance to Disneyland is 736 miles. If it took 12 hours to drive to your brothers house, how long would you estimate the drive to Disneyland to take?

Answers

Answer:

I would estimate 61.3

Step-by-step explanation:

I don't think I answered right but I tried

Solve for q.
q/18 = 5

q = ___0a

Answers

q/18 = 5

q = 18×5

q = 90

What whole number divided by a decimal can equal 8

Answers

Answer: 20 ÷ 2.5 = 8

Step-by-step explanation:

Answer:

4

Step-by-step explanation:

4 divided by 0.5 equals 8.

P(vanilla) =0.3 P(sundae)=0.2 P(vanilla and sundae) =0.15 find the probability that a customer ordered vanilla ice cream given they ordered a sundae. P(vanilla | sundae) =?

Answers

Answer:

0.75

Step-by-step explanation:

P(A | B) = P(A and B) / P(B)

P(vanilla | sundae) = P(vanilla and sundae) / P(sundae)

P(vanilla | sundae) = 0.15 / 0.2

P(vanilla | sundae) = 0.75

the probability that a customer ordered vanilla ice cream given they ordered a sundae is 0.75

Given :

P(vanilla) =0.3,  P(sundae)=0.2,  P(vanilla and sundae) =0.15

we need to find the probability that a customer ordered vanilla ice cream given they ordered a sundae.

[tex]P(vanilla | sundae)=\frac{P(vanilla \; and \; sundae)}{P(sundae)}[/tex]

Substitute the values  and find the probability

[tex]P(vanilla | sundae)=\frac{ 0.15}{0.2}=0.75[/tex]

[tex]P(vanilla | sundae)=0.75[/tex]

the probability that a customer ordered vanilla ice cream given they ordered a sundae is 0.75

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50 1/2 divided by 1/4 = 202
How are the numbers related?

Answers

To solve 50 1/2 divided by 1/4, convert the mixed number 50 1/2 to an improper fraction (101/2), then multiply by the reciprocal of 1/4 (which is 4), resulting in 202. The numbers are related through these multiplication and division steps.

Step by Step Solution:

To understand how the numbers are related in the equation 50 1/2 divided by 1/4, follow these steps:

First, convert the mixed number 50 1/2 to an improper fraction. This is done by multiplying the whole number part by the denominator of the fractional part and adding the numerator. Therefore, 50 1/2 becomes:

50 × 2 + 1 = 101/2

Next, when dividing by a fraction, you multiply by its reciprocal. So, dividing by 1/4 is the same as multiplying by 4/1.

Now multiply the improper fraction 101/2 by 4/1:

(101/2) × (4/1) = 101 × 4 / 2 × 1 = 404/2

Simplify the result by dividing the numerator by the denominator:

404 / 2 = 202

Therefore, the numbers are related through these multiplication and division operations, confirming that 50 1/2 divided by 1/4 equals 202.

What is two minus Parentheses eight -5×6 parentheses?

Answers

Answer: 24

Step-by-step explanation:

2-(8-5x6) = 24

-20 order of operations shows that we would do pemdas 2-(8-5*6)
-5*6=-30
8-30=-22
2-(-22)=-24

x/-9=3 what is x add explanation

Answers

Answer:

x=-27

Step-by-step explanation:

x/-9=3

x=3*-9=-27

How would you solve for this? 3x-5 = 1/2x+2x​

Answers

Answer:

x=10

Step-by-step explanation:

3x-5=1/2x+2x

3x-5=1/2x+4/2x

3x-5=5/2x

3x-5/2x=5

6/2x-5/2x=5

1/2x=5

x=5/(1/2)

x=(5/1)(2/1)

x=10/1

x=10

Deb has 26 ounces of shredded cheese. She is making 4 small loaves of garlic cheese bread . How many ounces of cheese can deb use in each loaf of bread. Explain your reasoning

Answers

Final answer:

Deb can use 6.5 ounces of cheese per loaf of bread. The calculation is made by dividing the total amount of cheese by the number of loaves.

Explanation:

Deb has 26 ounces of shredded cheese and she is making 4 small loaves of garlic cheese bread. To equally distribute the cheese across each loaf, we perform division.

We divide the total amount of cheese by the number of loaves: Thus, 26 ounces divided by 4 loaves equals 6.5 ounces of cheese per loaf.

The reasoning here is simple: we are equally distributing the cheese across each loaf, so we divide the total amount by the number of loaves. This ensures each loaf gets the same amount of cheese.

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Jeremy’s pay is $8.25 per hour. Jeremy worked 78 hours in a month, and the pay statement showed a total of $128.70 in payroll taxes. What was Jeremy’s net income?

Answers

Jeremy’s net income was $514.8

Step-by-step explanation:

The given is:

Jeremy’s pay is $8.25 per hourJeremy worked 78 hours in a monthThe pay statement showed a total of $128.70 in payroll taxes

We need to find what Jeremy’s net income was

The net income = total income - taxes

∵ Jeremy’s pay is $8.25 per hour

∵ Jeremy worked 78 hours in a month

- Jeremy's income =  the pay for an hour × the worked hours

∴ Jeremy's income = 8.25 × 78

∴ Jeremy's income = $643.5 in a month

∵ There was $128.7 as taxes in his pay statement

∴ The taxes = $128.7

- Substitute the values of his income and the taxes in the

   formula of the net income

∵ The net income = total income - taxes

∴ The net income = 643.5 - 128.7

∴ The net income = $514.8

Jeremy’s net income was $514.8

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