Solve the following equation using the zero prouduct property (x+9)(4x-1)=0

Answers

Answer 1

Answer:-9

1

Distribute

x

(

4

x

1

)

+

9

(

4

x

1

)

=

0

x(4x−1)+9(4x−1)=0

2

Distribute

4

x

2

x

+

9

(

4

x

1

)

=

0

4x

2

−x+9(4x−1)=0

3

Distribute

4

x

2

x

+

36

x

9

=

0

4x

2

−x+36x−9=0

4

Combine like terms

4

x

2

+

35

x

9

=

0

4x

2

+35x−9=0

5

Use the quadratic formula

x

=

35

±

35

2

4

4

(

9

)

2

4

x=

2⋅4

−35±

35

2

−4⋅4(−9)

6

Simplify

x

=

35

±

37

8

x=

8

−35±37

7

Separate the equations

x

=

35

+

37

8

x

=

35

37

8

x=

8

−35+37

x=

8

−35−37

8

Solve

x

=

1

4

x

=

9

x=

4

1

x=−9


Related Questions

Name the integer that is 2 more than the opposite of -4.

Answers

Answer:

6

Step-by-step explanation:

the opposite of -4 is 4 and then add 2

Answer:

Yeah 6

Step-by-step explanation:

Exact same steps as the person above :)

Good luck!!

The area of the
rhombus is 52 m2
What is the base of
the rhombus?

Answers

i have explained through pictures

Can someone explain to me what 8√42 ÷ 2√7 is?

Answers

Answer:

Step-by-step explanation:

8√42 ÷ 2√7 is 8√42/2√7 in a fraction form

you want to take the square root out of the denominator, and so you would multiply the denominator by the numerator and itself.

8√42/2√7 * 2√7/2√7 = 4√6

A container shaped like a rectangular prism is filled with sugar.It measures 14 inches by 6 inches by 3.5 inches.How much sugar does the container hold?

Answers

Answer:

294 in^3

Step-by-step explanation:

Sugar it can hold can be determined by calculating the volume of the prism

volume of a prism = length x width x height

14 x 6 x 3.5 = 294 in^3

Kaylee obtains a loan with simple interest to buy a car that costs $8,500. If Kaylee pays $1,020 in interest during the four-year term of the loan, what was the rate of simple interest?

Answers

Answer:

The rate is 3 percentage

To find the quotient of 726.02 and 1,000, move the decimal point in 762.02___Places to the ____

Choices for blank 1.

A. 2
B. 3
C. 4
D. 5

Choices for blank 2.

A. Left
B. Right
NO LINKS!!

Answers

from blank one five

from blank two is right

Right triangle XYZ is drawn with a 23° angle. For right triangles with an angle of 23° the ratio of the leg adjacent the 23° angle compared to the hypotenuse is 0.92 If the leg adjacent to the 23° angle has a length of 46 units, what is the length of the hypotenuse?

Answers

Answer:

50

Step-by-step explanation:

In a right angled triangle :

Ratio of the leg Adjacent an angle to the hypotenus can be obtained using the Cosine trigonometric ratio

For an angle of 23° and and adjacent leg of 46

Cos 23 = adjacent / hypotenus

Adjacent / hypotenus = 0.92

46 / hypotenus = 0.92

Hypotenus = 46 / 0.92

Hypotenus = 50

Which two products can add to find 9 times 4?

Answers

Answer:

2x18=36

im not sure if that's what you meant but i can answer again if you want

Step-by-step explanation:

Answer:

sin ( 330 )

 csc  ( 60 )

cos  ( 390 )

Step-by-step explanation:

Arnetta’s monthly gross pay is $4,200 federal withholding is 16.05%

Answers

Answer: $3204.06

Step-by-step explanation:

Here's the complete question:

Arnetta's monthly gross pay is $4,200. Federal withholding is 16.05% of her pay. Her other deductions total $321.30. Find her net pay.

First, we calculate the Federal witholding which will be:

= 16.05% × $4200

= 0.1605 × $4200

= $674.10

The total deduction will now be:

= $674.10 + $321.30

= $995.40

The net pay will now be:

= Gross pay - Total deductions

= $4,200 - $995.40

= $3204.06

Therefore, Arnetta’s net pay is $3204.06

juan bicycles due north at 20mph eric starting at the same point at the same time bicycles due east at 15mph how.

far apart are they after 2 hours?

A. 10 miles
B. 35 miles
C. 50 miles
D. 70 miles

Answers

I’m not good at math but I think u have to divide or multiply 20 and 15

Is 2.164213562 Rational or Irrational

Answers

The number you said is rational but im not that sure

4
Select the correct answer.
Which of the equations below represents a line parallel to the yaxis?
A. X= -y
B. X= 4y
C.x=y
D.X= 4
HELP

Answers

Answer:

x=4

Step-by-step explanation:

The y axis is a line where the value of x does not change ( x=0)

It is a vertical line

The only line where the value of x does not change is x=4

It is a vertical line at x=4

You have an allowance to spend on lunch this
week. You will spend the same amount each
day, and you get to keep whatever is left at
the end of the week. After two days, you
have $12.10 remaining. After five days, you
have $2.50 remaining. what is the initial value, rate of change, and table of values

Answers

Answer:

look at the screenshot

Step-by-step explanation:

MRK ME BRAINLIEST PLZZZZZZZ

2. A six sided cube was rolled. What is the probability of showing an odd number?"
2 points
10%
30%
50 %
1%

Answers

Answer:

50 % since there are 3 odd numbers on a die [1.3.5]  and 3 even numbers [2,4,6]

Step-by-step explanation:

Answer:

50

Step-by-step explanation: PLZ MARK BRANILIST

1 3 5 are odd numbers

2 4 6 are even

so it will be like half and a half


Which quadratic equation has roots of 5 and 7

Answers

Answer:

D

Step-by-step explanation:

Given the root of a quadratic equation x = a then the factor is (x - a)

Here the roots are x = 5 and x = 7 , then the corresponding factors are

(x - 5) , (x - 7)

The equation is then the product of the factors, that is

y = (x - 5)(x - 7) ← expand using FOIL

   = x² - 7x - 5x + 35 ← collect like terms

y = x² - 12x + 35 → D

The quadratic equation has roots of 5 and 7 so, the quadratic equation would be equal to [tex]y = x^{2} - 12x + 35[/tex].

How to find the roots of a quadratic equation?

Suppose that the given quadratic equation is

ax^2 + bx + c = 0

Then its roots are given as:

[tex]x = \dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}[/tex]

It is Given the root of a quadratic equation x = a then the factor is (x - a)

Here the roots are x = 5 and x = 7 , then the other factors are

(x - 5) , (x - 7)

The equation is then the product of the factors,

[tex]y = (x - 5)(x - 7)\\y = x^{2} - 7x - 5x + 35 \\y = x^{2} - 12x + 35[/tex]

Learn more about finding the solutions of a quadratic equation here:

https://brainly.com/question/3358603

#SPJ2

i need help asap!! i would really appreciate this

A 30°-60°-90° triangle has a shorter leg with a length of 14 cm. The hypotenuse of the triangle is ___ cm.

Answers

Answer:

23

Step-by-step explanation:

Which expression is equivalent to (9 + 3i) - (-4 + i)?
A. 5 + 2i
B. 5 + 4i
C. 13 + 2i
D. 13 + 4i

Answers

Answer:

c.

Step-by-step explanation:

from the expression (9 + 3i) - (-4 + i);

STEP 1: multiply (-4 + i) by the minus sign before it.

we have +4 - i as the result.

we are left now with:

9+3i+4-i.

STEP 2: grouping those with same values,

9+4+3i-i= 13+2i

What is the solution?
-4(3) - 3 = ?

Answers

-15


I hope it helps you :)

I think it’s the first one, am I correct?

Explain!

Answers

Answer:

yes by SAS

Step-by-step explanation:

EN = RP

EM = PQ

Angle N = Angle R

3 packets of fries cost £4.20
How much does 5 packets of fries cost?
Select one
a. £6.40
b. £6.00
C. £7.00​

Answers

the answer is C, because if you divide 4.20 by 3, you get 1.4, do you can multiply 1.4 by 5 and get 7.00

Answer:

C

Step-by-step explanation:

First, divide £4.20 by 3 to get the price for 1 packet.

4.20/3 = 1.4

5 packets is 5 times that, so multiply 1.4 times 5. You get 7. So 5 packets costs £7.00

PLS HELP ME WITH THIS QUESTION!!

Answers

Answer:

a

Step-by-step explanation:


If you toss a coin eight times and get a head each time, which of the following is true?
A. The probability of getting a head on the next toss is more than %.
B. The probability of getting a tail on the next toss is more than 1.
C. The probability of getting a tail on the next toss is %.
D. The probability of getting a head on the next toss is greater than the probability of getting a
tail

Answers

You just put a percentage sign , but anyways here is an explanation ,every time you get heads the probability that you get it once more decreases

Solve the given polynomial by factoring. Check all answers that are correct.

f(y) = 3y^3 + y^2 + 9y + 3

A) y = 1/3
B) y = i√3
C) y = 3
D) y = -3
E) y = -1/3
F) y = ±i√3

Answers

It would be both E and F for this equation.

6th grade math plsssssss whoever does this I will give any vbuck card, or Microsoft. PLSSS HELP!

Answers

$20-$9=$11
11/2=5 with a remainder of 1
you can get a total of 5 toppings

Answer:

5 toppings

Step-by-step explanation:

$20 - $9 = $11 dollars left for toppings

$11 ÷ 2 = 5.5

So, you can get 5 toppings with 50 cents left.

Have a great day!

please answer this question, just the multiple choice answer is fine to put
please make sure its right if you can

Answers

Answer:

B: 25

Give me Brainliest lol-

Answer:

25

Step-by-step explanation:

d1 x d2 divide by 2

10 x 5 = 50/2 =25

2x + 2y = -2
3x - 2y = 12
Answer:

Answers

Answer:

(2,-3)

Step-by-step explanation:

2x + 2y = -2

3x - 2y = 12

Add the two equations to eliminate y

2x + 2y = -2

3x - 2y = 12

-----------------------

5x   = 10

5x/5 = 10/5

x = 2

Now find y

2x+2y = -2

2(2)+2y = -2

4+2y = -2

Subtract 4 from each side

4-4 +2y = -2-4

2y = -6

Divide by 2

2y/2 = -6/2

y = -3

(2,-3)

Help
Please edge 21 I really need help I don’t want to go to summer school

Answers

Answer:

C. No solutions exist Because the situation describes two lines that have the same slope and different y-intercepts

Step-by-step explanation:

it is important to keep the x-and y-coordinates in the same order in both the numerator and the denominator otherwise you will get the wrong slope so there is no solution.

yeah please help me I’ll give brainliest if correct

Answers

Answer:

p=20

6p=120

Step-by-step explanation:

Answer:

A: 6p = 120

Solution:

6 / p = 120 / 6

p = 20

dont forget to five-star and heart! ;)

PLEASE HELP!

What is the equation of the directrix
for the following parabola:
(x - 1)^2 = 12(y + 2)
A. Y = -5
B. X = -5
C. y = -3
D. y = -12

Answers

Answer:

y=-5

Step-by-step explanation:

Name 4 fractions that are between 1/5 and 1/7

Answers

Answer:

21/240, 22/140, 23/140, 24/140

Step-by-step explanation:

7 and 5 have a common multiple of 140 and

140/7=20  20/140

140/5=28  28/140

21-27 are all numbers b/w 20 and 28

Answer:

21/140, 22/140, 23/140, 24/140

7 and 5 = common multiple of 140.

140/7 = 20 , 20/140

140/5 = 28, 28/140

21, 22, 23, 24, 25, 26, and 27 are the numbers between 20 and 28.

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