Given the quadratic equation: f(x) = x2+4x-21



Using the factored form/intercept form, find the x-intercepts.
PLEASE HURRY

Answers

Answer 1

Answer:

x = - 7, x = 3

Step-by-step explanation:

To find the x- intercepts let f(x) = 0 , that is

x² + 4x - 21 = 0

Consider the factors of - 21 which sum to give the coefficient of the x- term (+ 4)

The factors are + 7 and - 3, since

7 × - 3 = - 21 and 7 - 3 = + 4, then

x² + 4x - 21 = 0

(x + 7)(x - 3) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 7 = 0 ⇒ x = - 7

x - 3 = 0 ⇒ x = 3


Related Questions

An employee receives a 6% raise each year. His salary this year is $25,000. Which two expressions will calculate his salary for next year?

Answers

Answer:

25,000x1.06 or      25,000/100=250x106=26,500

Step-by-step explanation:

Billie Elilish , who's/whose had several hit songs recently ,is one of my favorite singers

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Answer: same.

Step-by-step explanation:

Answer:

same

Step-by-step explanation:

same

10) A game went on sale from $16.00 to $13.00. What is the percent of
change?
a) 18.13% increase
b) 18.75% decrease
c) 22.3% increase
d) 23.1 % decrease

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Answer:

The answer is b) 18.75% decrease

what is 1/3 of 1/9????????????

Answers

Answer:

God is better then satan

Answer: 3

Step-by-step explanation: 9/3 is 3

The midpoint of \overline{\text{AB}}
AB
is M(-2, 5)M(−2,5). If the coordinates of AA are (1, 7)(1,7), what are the coordinates of BB?

Answers

The coordinates of the B is obtained as (-5, 3).

What is referred as coordinates?

Coordinates are 2 numbers (Cartesian coordinates) or a letter and a number that point to a specific point on a grid known as a coordinate plane.

A coordinate plane does have four quadrants as well as two axes: x (horizontal) and y (vertical) (vertical). The point where the two axes intersect is known as the origin, and its coordinates are (0, 0).Coordinates are composed as (x, y), which means the x axis point comes first, accompanied by the y axis point.

Now, as per the given question;

The coordinates of A is given as (1, 7).

The coordinates of mid point M is given as (-2, 5).

The coordinates are listed in pairs, with the x value at the top.

The shift in the x location is as follows:

1 - (-2) = 3

The change in y position is as follows:

7 - 5 = 2

Because the midpoint is half - way between B and A, the change will remain constant, so x is;

- 2 - 3 = -5

And for is;

5 - 2 = 3

Therefore, the values of the coordinates of B is found as (-5, 3).

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The correct question is-

If M (-2, 5) is the midpoint of AB and the coordinates of A are (1, 7), what are the coordinates of B?

Classify this value -12 and give and explanation.
A. Rational
B. Irrational
C. Whole
D. Integers

Answers

Answer:

-12 is rational & an interger

Step-by-step explanation:

negative number are intergers

rational number can be made into fractions:

hence -12/1 is a fraction its rational

Please do this it’s on my test and I’m already late I can’t figure it out and I’m struggling so much please help me on this I need it badly

Answers

In order to solve how many problems each person has solved, you have to multiply the fraction by the number of problems on their assignment. To do this, you multiply the numberator by the number of problems and then divide that by the denominator for both Dustin and Kelsey.

For Dustin, 3/8 * 24 = 72 / 8 = 9 problems completed

For Kelsey, 4/15 * 30 = 120/15 = 8 problems completed

Dustin has completed more problems

Answer:9

Step-by-step explanation:

Dustin done more he done 9 and kelsey done 8

during the first 60 seconds of a rocket launch after takeoff, a rocket traveled 208 kilometers in 50 minutes at a constant rate. suppose a penny is dropped from a skyscraper and could travel 153 kilomaters in 1/2 hours at a constant rate. which of these objects has a faster unit rate per hour?

Answers

The unit rate of the penny dropped is faster than the rocket.

How to find unit rate?

Unit rate is the ratio of two different units, with denominator as 1.

Therefore, rocket travelled 208 kilometres in 50 minutes at a constant rate and the penny dropped from a skyscraper could travel 153 kilometres in 1/2 hours at a constant rate.

The object that has the faster rate between the two can be found as follows:

50 minutes = 0.833333 hours

Rate of the rocket = 208 / 0.833333

Rate of the rocket = 249.60009984

Rate of the rocket = 249.60 km/hr

Rate of the penny dropped = 153 / 0.5

Rate of the penny dropped = 306 km/hr

Rate of the penny dropped = 306 km / hr

Therefore, the unit rate of the penny dropped is faster than the rocket.

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HI PLEASE HELP WITH #13 and #14

Answers

Answer:

13. ∠x° = 99°

y° = 108

a ≈ 21.38

14. x° = 99°

Step-by-step explanation:

The given diagram is the diagram of a kite, therefore, we have;

One Pair of opposite angles are equal

Therefore, ∠x° = 99°

y° = 360 - 2 × 99 - 54 = 108

The base angles are;

(180 - 108)/2 = 36°

Similarly we have;

The side opposite ∠54° = 12 × 2 × cos(36°) ≈ 19.416

a/sin(63°) = 19.416/sin(54°)

a = sin(63°) × 19.416/sin(54°) ≈ 21.38

14. x° = 99°

Help pls !!
Math people

Answers

Answer:

none of the other answers are correct

Step-by-step explanation:

the range is the difference between the highest and lowest values in a set of numbers.

Answer:

second option

Step-by-step explanation:

The range of a function are the output values, that is the set of y values.

is this right yes or no?​

Answers

Answer:

As far as I can see, yes it is correct.

x1=4+x2=2 can someone tell me how do i do this?

Answers

Answer:

x3=4=2

Step-by-step explanation:

Add like terms. I believe that's what you're going for...

Hope this helped :)

Solve for the value of q.
(49-5)°
39°

Answers

the answer is
q = 14

Which undefined term is used to define an angle?
line
plane
point
ray

Answers

a undefined term used to define an angle is plane

HELPPPPPPP ME PLEASEEEEEEEEEE ILL GIVE BRAINLEST

Answers

Answer:

The answer is 7

Step-by-step explanation:

The time is 0 because it wants the depth before the snow melts. -0.5 times 0 is zero plus seven is seven.

Determine the quadrant point

Answers

Answer:

I think b

Step-by-step explanation:

Whoever answers correctly will get Brainliest!

Answers

Answer:

B

Step-by-step explanation:

A store bought a pair of shoes for $50, and sold it for $80. What percentage was the markup?

Answers

Answer:  The required markup percentage is 60%.

Step-by-step explanation:  Given that the store bought a pair of shoes for $50 and sold it for $80.

We are to find the markup percentage.

The markup price of the pair of shoes is given by

Therefore, the markup percentage is given by

Sorry if i was wrong. But this soulution makes since so i think im right! Also please brainlest!

ty bought a notebook for $3 and pencils $2 if both items were on 25% off what did tyler spend​

Answers

Answer: 1.25$

Step-by-step explanation:

25% of 5 dollars (total) is 1.25

If shan buy 3 packs of pop for $12.57 how much is each pop for

Answers

Answer:

The answer is 4.19

Step-by-step explanation:

12.57 divided by 3 = 4.19

Hope this helps!! :)

Answer:

$4.19 for each pop hoped this helped!

Step-by-step explanation:

Mark me as brainliest!

"The straight line of depreciation for a luxury car is modeled by the following equation:
y=-2,100x + 81,600
What is the original price of the car?"
A) $-2,100
B) $2,100
C) $81,600
D)$79,500

Answers

C) &81,600 I think so I’m not sure

The histogram represents the distribution of the number of seconds it took for each of 50 questions to find the answer to a trivia question the internet. which interval contains the median.

Answers

The interval that contains the median 25.5 is

(5 - 10)

What is a median?

The median is the value that's exactly in the middle of a dataset when it is ordered.

We have a histogram as given below.

We need to make a table of class intervals and their frequency:

class interval      frequency

0-5                       22

5-10                       5

10-15                       9

15-20                      9

20-25                      5

25-30                      1

We also need to find the cumulative frequency.

class interval      frequency    cumulative frequency

0-5                       22                 22

5-10                       5                   22 + 5 = 27

10-15                       9                  27 + 9 = 36

15-20                      9                   36 + 9 = 45

20-25                      5                   45 + 5 = 50

25-30                      1                      50 + 1 = 51

Now,

The number of questions = 50 ( even number)

Median:

= (50 + 1) / 2

= 51 / 2

= 25.5

We need to select the cumulative frequency where it is greater than the median.

So we have 27 which is at the interval (5 - 10).

Thus the interval that contains the median 25.5 is (5 - 10)

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Mr. John has $800 to be shared in the ratio of 5:3 what amount would each receive

Answers

Answer:

500:300

Step-by-step explanation:

first add the ratios 5+3=8

then divide by 800

800÷8=100

now,

it's 500:300 .

hope I helped!

Answer: 500 : 300 because here Step-by-step explanation: Ratio Division Formula Rr = Rn × M : Rd × M Ratio Division Values Rn = 5 Ratio Numerator Rd = 3 Ratio Denominator Rs = Rn + Rd Rs = 5 + 3 Rs = 8 Ratio Sum a = 800 Amount to Divide M = a ÷ Rs M = 800 ÷ 8 M = 100 Multiplier Ratio Division Calculation Rr = Rn × M : Rd × M Rr = 5 × 100 : 3 × 100 Rr = 500 : 300

What is 25% of 80? in table form

Answers

Answer:

20

Step-by-step explanation:

Percentage solution with steps:

Step 1: Our output value is 80.

Step 2: We represent the unknown value with x.

Step 3: From step 1 above, 80=100%.

Step 4: Similarly, x=25%.

Step 5: This results in a pair of simple equations:

80=100% (1).

x=25%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

{80} = {100%} {25%}

Step 7: Again, the reciprocal of both sides give

{80}= {25} {100}

x=20

Therefore, 25% of 80 is 20

sorry if this is hard to understand it was what was going on in my brain. Hope this helps tho byeeeeee

6 (4x6) x 9 (5x9) judjsjdjdjddjdnnddnfndndndndndndndndn

Answers

Answer:

48 600

Step-by-step explanation:

6(4×6) × 9(5×9)

Solve the numbers in brackets first

6(20) × 9(45)= 120 × 405

= 4 8 600

Answer:

6(20) × 9(45)= 120 × 405

= 4 8 600

A book is marked down by 28 percent from an original price of $19.50. What is the new price?

Answers

Step-by-step explanation:

First find 28% of $19.50:

($19.50) / (100) × (28) = $5.46

Now minus the 285 from the original price:

($19.50) - ($5.46) = $14.04

The answer is $14.04

Hope it helped :)

Hi the new price is $14.04

Solve for f.

0.3 = 0.5 f - 0.7

Answers

F is 2 that’s the answer!!

Answer:

 0.3 = 0.5 f - 0.7

+ 0.7            + 0.7

_______________

1  =  0.5 f

_________

0.5   0.5

2 = f       ( f = 2 )

f = 2    or     2 = f

Help! I need help asap

Answers

Answer:

3 looks right but I am not so sure

Step-by-step explanation:

sorry if i am wring

Algebra I Semester 1 Escam (SMS 20-21) 5 of 28
Which description best describes the function below?
I
11
5
1
2
4
-7
A The function is increasing.
B. The function's slope is -2.
C. The x-intercept of the function is (5,0).
D. The y-intercept of the function is (0,5).

Answers

Answer- D. The y-intercept of the function is (0,5)
Hope this is right. Have a great day!

The cost of tea varies directly with the
mass. Liz bought 4.5 kg of tea for $10.35.
What is the constant of variation?

Answers

Answer: $27.6 is the constant of variation.

I hope this helped!

soy ell idredle  a admana gua uag uga jjejeje

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