Use the Zero Product Property to find the x-intercepts for y=3x2−7x+4

Answers

Answer 1

Answer:

x = [tex]\frac{4}{3}[/tex], x = 1

Step-by-step explanation:

To find the x- intercepts, let y = 0 , that is

3x² - 7x + 4 = 0

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 3 × 4 = 12 and sum = - 7

The factors are - 3 and - 4

Use these factors to split the x- term

3x² - 3x - 4x + 4 = 0 ( factor the first/second and third/fourth terms )

3x(x - 1) - 4(x - 1) = 0 ← factor out (x - 1) from each term

(x - 1)(3x - 4) = 0

Equate each factor to zero and solve for x

x - 1 = 0 ⇒ x = 1

3x - 4 = 0 ⇒ 3x = 4 ⇒ x = [tex]\frac{4}{3}[/tex]

x- intercepts are x = [tex]\frac{4}{3}[/tex] , x = 1

([tex]\frac{4}{3}[/tex], 0 ), (1, 0 ) ← in coordinate form


Related Questions

Please help ASAP you will get BRAINLIST.

Answers

Answer:

Measure of LKJ is 64

Step-by-step explanation:

Here, we want to find the measure of angle LKJ

mathematically, we know that a bisector line divides an angle into 2

Since one of the divided angle is 32

The other side too will be 32

Thus, the missing value would be;

32 + 32 = 64

Can someone help its due soon !!
Ill mark brainliest

Answers

Answer:12 minutes

Step-by-step explanation:

56548.66 divided by 4500 = 12.5662222...

rounded to the nearest minute is = to 12 minutes

Answer:

answer:12 your welcome:/

The table below shows the temperature, in Fahrenheit, that was recorded
every hour from 9:00 P.M. to 8:00 A.M. at Dulles International Airport.
Assuming a quadratic relationship, if time = 0 represents 9:00 P.M., which
would the model predict the temperature to be at 11:00 A.M., to the nearest
tenth of a degree?

Answers

Answer:

im so so so sorry, but i dont know(possibly because im only in 7th grade with a sucky teacher)

Step-by-step explanation:

The answer is y(10° ) = -5351.5

What is a quadratic equation?

A quadratic equation is a second-order polynomial equation in a single variable, x.

To write a quadratic relationship, consider the first three points: let it be A (0,70), B (1,69.7), and C (2,69.1).

To find the constant value, we substitute the first point in the quadratic function.

i.e   [tex]y=ax^{2} +bx+c[/tex]

At point A,  the equation becomes

y=0+0+c=70

i.e c=70

At point B, the equation becomes

a+b=69.7

At point C, the equation becomes

4a+2b=69.1

By solving the two equations above, we get the values of a and b.

a=-35.15 and b=104.85

Then the quadratic relationship becomes

[tex]y=-35.15x^{2} +104.85x+70[/tex]

At 11:00 A.M, the temperature becomes

y(10°) =-35.15(14*14) + 104.85(14)+70

y(10°)=-5351.5

The predicted temperature at 11.00 A.M is given by,  y(10°)=-5351.5

To learn more about quadratic equation use the link below:

https://brainly.com/question/17177510

#SPJ5

cd and ad are

altitudes
perpendicular bisectors
angle bisectors
medians

Answers

Answer:

I believe it is angel bisectors

Step-by-step explanation:

correct me if im wrong sorry

Match the solution set of each of the following inequalities with its graph.

Answers

Answer:

Step-by-step explanation:

From the picture attached,

            Number line                                                             Inequality

1). Arrow starting with a solid point from x = -2                   x ≤ -2

directing towards negative numbers of x                                                         2).Arrow starting with a hollow circle from x = 2                 x >2  

directing towards positive numbers of x

3). Arrow starting with a hollow circle from x = 2                x < 2 ⇒ x - 2 < 0  

directing towards negative numbers of x

4). Arrow starting with a solid circle from x = 2                   x ≥ 2 Or 2 ≤ x

directing towards positive numbers of x

5). Arrow starting with a hollow circle from x = -2                   x > -2

directing towards positive numbers of x

Answer:

x ≤ -2x > 2x - 2 < 02 ≤ x-2 < x

Step-by-step explanation:

I went by the picture. so the numbers 1-5 is representing the number lines 1-5

I need help on this can someone help

Answers

The answer is C because if you plug the values in: 4(0) -5(-11/5) = 11. So the answer is C
C is the answer:)))))))) have a good day

6. A pencil costs $2 less than a notebook. A pen costs 3 times as much as a pencil. The pen costs
$9. Write and solve an equation to determine the cost of the notebook and the cost of the
pencil.

Answers

Answer:

Step-by-step explanation:

9 x 3 = 27 aka pencil

27 + 2 = 29 = notebook

31/0 as a improper fraction

Answers

It’s already improper the numerator is more than the dominator

Answer:

1/0=0

Step-by-step explanation:

Jason spends $2.35 to buy lunch at school. If he buys a lunch on 9 days, how much total money has he spent? Write and equation and solve.

Answers

Answer:

21.15 $

Step-by-step explanation:

Answer:

$21.15

Step-by-step explanation:

$2.35 x 9= $21.15

Hope this helps

Solve for x: X -10 = 7

Answers

Answer:

x = 17

Step-by-step explanation:

x - 10 = 7

=> x = 10 + 7

=> x = 17

What is the difference in thousands of dollars between the mean and median of the monthly sales

Answers

calculate the median and then the mean. subtract the smaller one from the larger number. that is you difference.

SOMEBODY PLS HELP ASAPP!!!
A train car is in the shape of a right rectangular prism and has a volume of 540 cubic feet as shown.
feet
12 feet
What is the height of the train car?
A 10 feet
B. 12 feet
C 22.5 feet
D. 24 feet

Answers

Answer:

its c

Step-by-step explanation:

Find the equation of the line that passes through point A and B

PLEASE HELP ASAP I WILL BE GIVING THE BRAINLIEST FOR THE RIGHT ANSWER

Answers

Answer:

Take two points y=2x+ b plug in values -1=2(-3)+by=2x+5

Please answer these for a lot of points if you scam ill report you!

Answers

Answer:

Step-by-step explanation:

1) 5 times the length x of the table = 5*x = 5x

the sum of 8  inches = 5x + 5

5x +  8

2) Half the weight of w of  a bag of rice = [tex]\frac{1}{2}w[/tex]

6 pounds less than =  [tex]\frac{1}{2}w-6[/tex]

[tex]\frac{1}{2}w-6[/tex]

3) The product of 2 coins and c coins = 2*c = 2c

2c

Answer:

1. 5 times the length x of the table = 5*x = 5x

the sum of 8  inches = 5x + 5

5x +  8

2. Half the weight of w of  a bag of rice =

6 pounds less than =  

3. The product of 2 coins and c coins = 2*c = 2c

2c

Step-by-step explanation:

Find the value of each expression. 25-14+3

Answers

Answer:

25-14+3= 14

25-14=11

11+3=14

the answer is 14 luv

The length of a rectangle is 6 inches the width is 3w inches if the coefficient of the width increases by 2 what could be an expression for the area of the rectangle

Answers

Answer:

Dang it I got it wrong

Step-by-step explanation:

Write the equation of a line in slope-intercept form that goes through the points
(3,-5) and (1,-9)

Answers

Answer: The equation in slope-intercept form is y=2x-11

Step-by-step explanation: Slope-intercept is y=mx+b where m is the slope and b is the y-intercept. To find the slope, you find the difference between the y values divided by the difference between the x values. -5-(-9) = 4, and 3-1 is 2. 4/2 is 2, so m = 2. Since the slope is 2, it states for every x you move on the right you move 2 up. But we are trying to get the y-intercept, so x = 0. We are subtracting 1 in our x value, so we move 2 downwards. We subtract 2 from -9 which gives us -11, which is our y-intercept.

Hope this helps!

Write the slope intercept form of the equation for the line

Answers

Answer:

-7/8x-3/2

Step-by-step explanation:

please answer all of them

Answers

Answer:

a. x = 5/2

b. y = 16.5

c. z = 12

Step-by-step explanation:

Answer:

1) x = 2.5

b) y = 12.9

c) z = 12

d) 2.75 = w or 2[tex]\frac{3}{4}[/tex] = w

e) t = 4

Step-by-step explanation:

a)

2x = 5

divide both sides of the equation by 2

2x/2 = 5/2

x = 5/2

x = 2.5

b)

y + 1.8 = 14.7

subtract 1.8 from both sides of the equation

y + 1.8 - 1.8 = 14.7 - 1.8

y = 14.7 - 1.8

y = 12.9

c)

6 = 1/2z

divide both sides by 1/2 or multiply both sides by 2

6*2 = 1/2z * 2

6*2 = z

12 = z

d)

3.25 = 0.5 + w

subtract 0.5 from both sides of the equation

3.25 - 0.5 = 0.5 + 2 - 0.5

3.25 - 0.5 = w

2.75 = w

or

2[tex]\frac{3}{4}[/tex] = w

e)

2.5t = 10

t = 10/2.5

t = 4

Factor completely: 3x2 + 12xy + 2xz + 8yz
A)
(2x + y)(3x + 2)
B)
(x + 2y)(3x + 4z)
c
(2x - 3)(x + 2z)
D)
(x + 4y)(3x + 2z)

Answers

Answer:d

Step-by-step explanation:

Find the missing angles​

Answers

1. angle p = 43, angle r= 137, angle q= 43
2. angle g= 108, angle h= 72, angle j= 108
3. angle 1= 54
4. angle 2= 90
5. angle 3= 36
6. angle 5= 90
7. angle 6= 36

Need help fast!!!!!!!!!!!!!

Answers

Add me on the clock app my user is limblesskaworu

Solve for y. 10x-3y=2​

Answers

Answer:

y = 10/3x - 2/3

Step-by-step explanation:

10x-3y=2​

-3y = -10x + 2

-3y/-3 = -10x/-3 + 2/-3

y = 10/3x - 2/3

PLEASE ANSWER! BRAINILY TO FIRST PERSON TO ANSWER CORRECTLY!

Answers

Answer:

1/32 cubic yards

Step-by-step explanation:

Just do 1/4 x 1/4 x 1/2 which is 1/32

Answer:

1/32 yd^3

Step-by-step explanation:

V = lwh

Volume=1/4 x 1/2 x 1/4

l2x-2l = 8

what are the solutions of the equations​

Answers

Answer:

x=5

Step-by-step explanation:

The absolute value is positive, so the equation stays the same:

2x-2=8

Add 2 on both sides:

2x=10

Solve:

x=5

Answer:

x=29/12

Step-by-step explanation:

Let's solve your equation step-by-step.

12x−21=8

Step 1: Add 21 to both sides.

12x−21+21=8+21

12x=29

Step 2: Divide both sides by 12.

12x/12 = 29/12

x=29/12

What is the length of NP to the nearest hundredth centimeter?

Answers

The height of NP will be 6.71cm

I have only 4 questions left

Answers

Answer:

Yes

Step-by-step explanation:

dkdkdkslorkgkfodofogosodokckdkd

Answers

Answer:

[tex]10 - 6x < 70 \\ - 6x < 60 \\ 6x > - 60 \\ \boxed{x > - 10}[/tex]


Which graph represents the function f(x) = 3-* +4?
10
8
-6
2
2
10
8
2
2

Answers

3rd one :)))))))))))))))))))))))))))
The third graph is correct answer

Traveling from City 1 to City 2, a pilot planned a southeast course along the path labeled d. Instead, a storm forced the pilot to travel 32 miles south, then 24 miles east to reach City 2. How many extra miles was the pilot forced to fly?




A. 13 mi.

B. 14 mi.

C. 16 mi.

D. 17 mi.

Answers

The extra miles the pilot was forced to fly, found using Pythagorean Theorem was 16 miles. The correct option is therefore;

C. 16 mi

What does Pythagorean Theorem state?

Pythagorean theorem can be stated as follows; The square of the length of the hypotenuse side of a right triangle is equivalent to the sum of the square of the lengths of the other two sides.

The direction the pilot planned initially = A southeast course

The direction the storm forced the pilot to travel = 32 miles south then 24 miles east

The number of extra miles the pilot is forced to fly = Required

Taking the original path as a straight line, and the destination arrived at being that of the new destination, we get by using Pythagoras Theorem

Direct distance, d₁ = √(32² + 24²) = 40The direct distance from City 1 to City 2 = 40 miles

The new distance can be obtained by the scalar addition of the individual distances as follows;

d₂ = 32 + 24 = 56

The new distance traveled, d₂ is 56 miles

The number of extra miles, Δd, is therefore;

Δd = d₂ - d₁

Which indicates that we have;

Δd = 56 miles  - 40 miles = 16 milesThe number of extra miles the pilot was forced to fly is Δd = 16 miles

Learn more about Pythagorean Theorem in mathematics here:

https://brainly.com/question/15252776

#SPJ1

Answer:

C. 16 mi

Step-by-step explanation:

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