Factor this equation using the Zero product property , What are the x-intercepts?: f(x)=2x^2+5x-3

Answers

Answer 1

Answer:

x = 1/2

x = -3

Step-by-step explanation:

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

Factor

Zero Product Property

X-Intercepts

____________________

To find the x intercepts, we need to first factor our given polynomial. The quickest trick I use to factor is to find two numbers that multiply to c (in this case -3) and the same two numbers that add to b (in this case 5).

The two numbers would be -1 and 3, but along with 2x to help out.

Therefore the binomial for this factor is :

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

Now to solve the x-intercepts, we separate the binomials into an algebraic expressions :

2x - 1 = 0

x + 3 = 0

Isolate for x in both of them :

2x - 1 = 0

Add 1 to both sides :

2x = 1

Divide both sides by 2 :

x = 1/2

x + 3 = 0

Subtract 3 from both sides :

x = -3


Related Questions

PLEASE HELP ILL GIVE U BRAINIEST

Answers

Answer:

C

Step-by-step explanation:

can anyone help pls rlly ez

Answers

Answer:

b and c

Step-by-step explanation:

the answer is b and c

6) Walmart and Target are having deals on Barbie dolls. Walmart is selling 8 dolls for $120 and Target is selling 6 dolls for $102. Which store has the better deals on Barbie dolls? Explain how you know

Answers

Answer:

Walmart has the better deal

Step-by-step explanation:

If you do $120/8 dolls you get $15 for each doll at Walmart. If you do $102/6 dolls you get $17 for each doll. You know $15 is less than $17 making it cheaper and a better deal. Target's dolls are $2 more than Walmart. $17-$15=$2

Help please... I need help on this , this is 8th grade math

Answers

Answer:

1 is not true

2 is sometimes

3 is true all the time

4 is true all the time

Step-by-step explanation:

HELP MEEE PLEASE




Gilligan sees a ship coming close to the shore he's standing on. He wants to

determine the distance (SD) from the ship to the shore. He walks 130 ft along the

shore from point D to point C and marks that spot. Then he walks 23 ft further and

marks point B. He turns 90 and walks until his location (point A), point C, and point

S are collinear.

o

Answer the following questions making sure to show all your work.

(a) Can Gilligan conclude that triangle ABC and triangle SDC are similar? Why or why

not?

(b) Suppose AB = 90 ft. What can Gilligan conclude about the distance of the ship

from the shore? Explain.

Answers

The triangles ABC and SDC are similar triangles

Gilligan can conclude that triangles ABC and SDC are similarGilligan can conclude that the distance of the ship from the shore is 509 ft

How to determine if the triangles are similar

From the question, we understand points S, C and A are collinear, while line AB and SD are vertical and parallel lines at the either sides of point C.

Hence, Gilligan can conclude that triangles ABC and SDC are similar

How to calculate the distance SD

To do this, we make use of the following equivalent ratio

[tex]SD : 130 = AB : 23[/tex]

Substitute 90 for AB

[tex]SD : 130 =90 : 23[/tex]

Express as fraction

[tex]\frac{SD}{130} =\frac{90}{ 23}[/tex]

Make SD the subject

[tex]SD =\frac{90}{ 23} * 130[/tex]

[tex]SD =509[/tex]

Hence, Gilligan can conclude that the distance of the ship from the shore is 509 ft

Read more about similar triangles at:

https://brainly.com/question/14285697

HELP! WILL GIVE 100 POINTS

Complete the following statement.

In 5/6 ÷ 4/5 the___is 4/5

divided

divisor

quotient
.

Answers

Answer:

divisor

Step-by-step explanation:

In 5/6 ÷ 4/5 the divisor is 4/5

solve this problem as a fraction in the lowest terms

Answers

Answer:

[tex]\frac{1}{16}[/tex]

Step-by-step explanation:

Answer:

[tex]\frac{1}{16}[/tex] is the answer

Step-by-step explanation:

you have to evaluate [tex](7-3)^{-2}[/tex] and the answer comes up to [tex]\frac{1}{16}[/tex]

What is 4/5 times 7/12

Answers

Answer:

[tex]\frac{28}{60}[/tex]([tex]\frac{7}{15}[/tex])

Step-by-step explanation:

b/c 4/5*7/12

means 4*7 and 5*12

then28/60

hope it's helpful

THANK YOU.

WILL GIVE BRAINLIEST

bxvy - xvyb

if b=-2
x= 1
y= -1
v= 3

simplify and substitute

Answers

Answer:

Step-by-step explanation:

(-2)(1)(3)(-1) - (1)(3)(-1)(-2)

6 - 6 = 0

Answer:

0

Step-by-step explanation:

(-2)(1)(3)(-1) - (1)(3)(-1)(-2)

6 - 6 = 0

A cyclist averages 11 miles per hour. How many miles does the cyclist ride in 4.5 hours?

Answers

49.5 mph
I hope it’s helped.

repost of my question i need help quicklyy help plzz

Answers

Answer:

According to logarithmic properties.... The right hand side can be written as

log base 7 (180/3).....which is log base 7 60

So according to the question cancel out the log base 7 from both sides....

Then we get 8r + 20 = 60

That is 8r = 40..

That is r = 5......

Therefore the value of r is 5

Which compound inequality is represented by the graph?
(A.) -2 (B.) -2_ (C.) x<-2 or x_>4
(D.) x_<-2 or x>4

Answers

Answer: Choice C

[tex]x < -2 \ \text{ or } \ x \ge 4[/tex]

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

Explanation:

The blue portion on the left is represented by [tex]x < -2[/tex] as it describes values smaller than -2. Notice the open hole at -2 which indicates we do not include this value. So that's why we go with [tex]x < -2[/tex] instead of [tex]x \le -2[/tex]

The blue portion on the right is represented as [tex]x \ge 4[/tex] describing values that are equal to 4, or larger than 4.

So overall, the entire graph visually represents x values such that [tex]x < -2 \ \text{ or } \ x \ge 4[/tex]

Side note: the "or" means we pick one region or the other, but not both regions at the same time.

Answer:

C

Step-by-step explanation:

Mary and Will rent a tandem bike for $10/hr. Which value is the
dependent variable? Which is the independent variable? Write an
equation to represent the relationship between the number of
hours, h, and the total cost, c.

Answers

Answer:

Step-by-step explanation:

c = 10h

h is the independent variable.

c is the dependent variable.

hurry please!
Choose the number that is rational.
A. √20
B. √32
C. √45
D. √64

Answers

By rational it means that which number can be expressed as a fraction, let's simplify and check each one.

Sqrt20=2*sqrt5

sqrt 5 is irrational

sqrt32=4sqrt2

sqrt2 is irrational

sqrt45=3sqrt5

sqrt5 is irrational

sqrt64=8

8 is rational!

A scale drawing of an office space uses a scale of 1 in : 5 yd. The scale drawing has an area of 12 square inches. What is the area of the actual office space

Answers

Answer:

60 Yards.

Step-by-step explanation:

Ooooooooo Proportion question!

We can write an equivalent fraction here:

[tex]\frac{1}{5} =\frac{12}{x}[/tex]

Because 12 wold be equivalent to the 1 inches.

We can multiply by 12 because 1*12 would be 12.

5*12=60.

x=60, which is the answer.

which expression is equivalent to 3{x+11}?

Answers

Answer:

3x + 33

Step-by-step explanation:

By using the distributive property, 3{x + 11} = 3x + 33

convert -√3-i to polar form

Answers

Answer:

r

sin

θ

=

3

Step-by-step explanation:

,

Answer:

2cis (7pi/6)

Step-by-step explanation:

Ive worked out a bit, i just need help finishing it off. Will reward

Answers

Answer:

nxkankankxnalmzlamzlamzo

Answer:

width = 40 cm

Step-by-step explanation:

Since the pentagons are similar then the ratios of corresponding sides are equal, that is

[tex]\frac{4x}{x}[/tex] = [tex]\frac{48}{x+2}[/tex] ( cross- multiply )

4x(x + 2) = 48x ← distribute left side

4x² + 8x = 48x ( subtract 48x from both sides )

4x² - 40x = 0 ← factor out 4x from each term on left side

4x(x - 10) = 0

Equate each factor to zero and solve for x

4x = 0 ⇒ x = 0

x - 10 = 0 ⇒ x = 10

However, x > 0 then x = 10

Thus width = 4x = 4 × 10 = 40 cm

How many squares will be in Figure 10?

A) 15
B) 43
C) 99
D) 100

Answers

Answer: 99

Step-by-step explanation:

The guy above me said 99 so ima guess 99 lol

How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?

Answers

Answer:

1200 ounces

Step-by-step explanation:

How much of an alloy that is 10% copper should be mixed with 600 ounce of an alloy that is 70%copper in order to get an alloy that is 30%copper?

Let us represent

Number of ounce of 10% copper = x

Hence, our Equation =

x × 10% + 600 × 70% = (x + 600) × 30%

0.1x + 420 = (x + 600)0.3

0.1x + 420 = 0.3x + 180

Collect like terms

0.3x - 0.1x = 420 - 180

0.2x = 240

x = 240/0.2

x = 1200 ounces

PLS HELP ME ON THIS PLSSSS

Answers

Answer:

Step-by-step explanation:

If x^2 + y^2 = 10 and xy = -3, what is the value
of (x - y)^2?

A) 12
B) 16
C) 20
D) 25

Answers

Answer:

Step-by-step explanation:

[tex]xy=-3,\ x=-\frac{3}{y}\\ \\ x^2+y^2=10\\ \\ \frac{9}{x^2}+x^2=10\\ \\ x^4+9=10x^2\\ \\ x^4-10x^2+9=0\\ \\ (x^2-1)(x^2-9)=0\\ \\ (x-1)(x+1)(x-3)(x+3)=0\\ \\ x=-3,-1,1,-3\ y=1,3,-3,-1\\ \\ (x-y)^2\\ \\ (-3-1)^2=(-4)^2=16[/tex]

Find the value of √14/6

Answers

Answer:

0.62360956 is the answer to this question.

Just solve Ex: 16, 17, 19, 20 please! I don't know them​

Answers

Answer:

The order of arithmetic calculations is

B - Bracket

O - off

D - Division

M - Multiplication

A - Addition

S - Subtraction

Use this to solve

A cup of Kool-Aid has a mass of 700 grams. The cup by itself has a mass of 80 grams. If the cup has a diameter and a height of 8 cm, what is the density of the Kool-Aid?

Answers

I think the answer is 120

Loris has one of each of the following colours of felt-tip pen in her pencil case:
red (R) blue (B) yellow (Y) green (G) purple (P)
She pulls out two random pens.

How many different combinations of pairs of colours are there?

Answers

there are 10  different combinations of pairs of colors.

What is the combination?

Combinations are ways to choose elements from a collection in mathematics where the order of the selection is irrelevant. Let's say we have a trio of numbers: P, Q, and R. Then, combination determines how many ways we can choose two numbers from each group.

Given, Loris has one of each of the following colors of felt-tip pen in her pencil case: red (R) blue (B) yellow (Y) green (G) purple (P) She pulls out two random pens.

from the formula of combination;

total combination  ⁿCₓ = [tex]\frac{n!}{(n-r)! * r!}[/tex]

Where, n = total numbers

r = desired number out of total

In our case

n = 5 and r = 2

Thus, the Total combination = ⁵C₂

Total combination = 5! / (3! *2!)

total combination = 5 *4 /2 = 10

therefore, There are ten distinct ways to pair the colors together.

learn more about combination here:

https://brainly.com/question/13387529

#SPJ2

W PLZ PLZ P_LZ HELP MEEEEEEEEEEEEEE

which figure of speech provides evidence for a comparison throughout an entire poem?


1.an anaphora
2.a juxtaposition
3.an extended metaphor
4.a long-form simile

Answers

Answer:

An extended metaphor

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at? Include the steps you used to solve the problem and your answer

Answers

Answer:

3%

Step-by-step explanation:

Blake bought a new car. He borrowed $12,500 from the bank. After 4 years he had paid off the loan and paid $1500 in interest. What rate did he borrow at?

This is a simple interest question

The formula to find the rate is given as:

Equation:

r = (1/t)(A/P - 1)

t = time = 4 years

P = Principal = $12500

I = Simple Interest = $1500

A = Total Amount = Principal + Simple Interest = $12500 + $1500

= $14000

Calculation:

Solving our equation:

r = (1/4)((14000/12500) - 1) = 0.03

r = 0.03

Converting r decimal to R a percentage

R = 0.03 * 100 = 3%/year

4(v+7) = -6(3v-4) +8v

Answers

Answer:

v=−27

Step-by-step explanation:

Since v is on the right side of the equation, switch the sides so it is on the left side of the equation.

−6(3v−4)+8v=4(v+7)

Simplify −6(3v−4)+8v

−10v+24=4(v+7)

Simplify 4(v+7).

−10v+24=4v+28

Move all terms containing v to the left side of the equation.

−14v+24=28

Move all terms not containing v to the right side of the equation.

−14v=4

Divide each term by −14 and simplify.

v=−27

The result can be shown in multiple forms.

Exact Form:

v=−27

This year I caught 30 fish, which is 6 more than twice the number I caught last year. How many did I catch last year

Answers

30 = 6 + 2x
x = 12 fish caught last year
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