Mathematics High School

1Use the Zero Product Property to solve for x.
a. (x +13)(x - 7) = 0
b. (2x+ 3)(3x - 7) = 0
C. x(x-3) = 0
d. x^2 – 5x = 0
e. x^2 – 2x – 35 = 0
f. 3x^2 + 14x - 5 = 0​

Answers

Answer 1

a. x + 13 = 0

x = -13

x-7= 0

x= 7

b. 2x +3 = 0

2x = -3

x= -3/2 or -1.5

3x -7 = 0

3x = 7

x = 7/3

c. x = 0

or x = 3

these you have to change it into that form first

d. x= 5

or x = 0

e. x= 7

or x = -5

f. x = 1/3 or -5

Related Questions

Kenya plans to make a down payment plus monthly payments in order to buy a
motorcycle. At one dealer she would pay $2,250 down and $200 each month. At
another dealer, she would pay $2,850 down and $175 each month. After how
many months would the total amount paid be the same for both dealers? What
would that amount be?
After
months Kenya will have paid $
for the bike at either dealer.

Answers

Answer:

Step-by-step explanation:

2500+150x=3000+125x

150x-125x=3000-2500

25x=500

x=500/25

x=20 mo

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

2500+150*20=3000+125*20

5500=5500 total paid after twenty months

Hope this is helpful

(PLEASE HELP ASAP I JUST NEED TO SEE IF I GOT THE RIGHT ANSWER)PLEASE EXPLAIN AS WELL

Answers

the answer is 39. deposited means you add 20 and withdrew means you subtract 17. so 36+20=56 and then 56-17=39

Answer:

MONEY ON MONDAY=36.

MONEY ON TUESDAY =36+20=56

MONEY ON WEDNESDAY =56-19=37

MONEY LEFT ON THURSDAY=37

Half the difference of a number n and 20 is 30. What is the number?​

Answers

Answer:

80

Step-by-step explanation:

Half the difference of a number n and 20 ⇒  (n - 20)/2... is 30 ⇒ = 30

Solve the equation for n:

(n - 20)/2 = 30n - 20 = 30*2n - 20 = 60n = 60 + 20n = 80

The number is 80

Answer:

Number is 40

Step-by-step explanation:

Let the number be n

(n - 20)/2 = 30

(n - 20) = 2 × 30

n = (2 × 30) + 20

n = 60 + 20

n = 80

Evaluate the expression


2(x – 3) + 3y


When x = 5 and y = 3.


Mark the correct answer Please.


A. 13


B. 15


C. 16


D. 25

Answers

Answer:

13

Step-by-step explanation:

2(x – 3) + 3y

Let x = 5 and y =3

2(5 – 3) + 3*3

Parentheses first

2(2) +3*3

Multiply4 + 9

Add

13

Answer:

[tex]2(x - 3) + 3y \\ x = 5 \\ y = 3 \\ then \: 2(5 - 3) + 3 \times 3 \\ = 2 \times 2 + 9 \\ = 4 + 9 \\ = 13 \\ thank \: you[/tex]

Which of the following describes a linear function?
A. 3(x + 2y) - 4 = x + 5y
B. ax2 + bx + c = 0
c. (a + b)?
D. A = ?

Answers

Answer:

A

Step-by-step explanation:

Linear equation involves two variables with the power of 1. B is quadratic equation

C and D are not even equations

A bc it's the most reasonable

f(x) = [tex]2^{x}[/tex] - 2 and g is a horizontally scaled function of f. The functions are graphed where f is solid and g is dashed. What is the equation of g?
A. g(x) = [tex]2^{3x}[/tex] - 2
B. g(x) = [tex]2^{\frac{1}{3}x }[/tex] - 2
C. g(x) = [tex]2^{2x} - 2[/tex]
D. g(x) = [tex]2^{\frac{1}{2}x} - 2[/tex]

Answers

Answer: D) g(x)= 2^1/2x -2

Step-by-step explanation:

Is (1, 10) a solution to this system of inequalities?
y > X + 9
y > 10

Answers

Answer:

Explanation:

I think the x value is 1

But however I don’t think the solution is (1, 10) because the y value is bigger than as can be seen in one of the equation that is written y > 10 so y can be 11, 12, 13,.....

Answer:

No

Step-by-step explanation:

If (1, 10) is a solution to the system then it must satisfy both inequalities.

Using x = 1 and y = 10 , then

10 > 1 + 9 , that is

10 > 10 ← False

and

10 > 10 ← False

Neither of the inequalities are satisfied by (1, 10)

Thus it is not a solution

Write the conjugate of the following complex
number:
-6i

Answers

Answer:

[tex]6i[/tex]

Step-by-step explanation:

We want to write the conjugate of the complex number:

[tex]-6i[/tex]

Recall that the conjugate of a complex number in the form a + bi is a - bi, and vice versa.

We can rewrite our complex number as:

[tex]\displaystyle 0 - 6i[/tex]

Hence, a = 0 and b = 6.

Then its conjugate will be:

[tex]0 + 6i = 6i[/tex]

Which expression is equivalent to 6 (3.6 + 4)?​

Answers

Answer:

45.6

Step-by-step explanation:

6(3.6 + 4)

6 (7.6)

= 45.6

please help me i need help

Answers

83+247
330
Round it to 300 because it is under 350 Which means you do not round up

-a - 2b + 3c for a = 24, b= 7, and c=5

Answers

Answer:

-23

Step-by-step explanation:

Plug in each value for its respective variable.

-(24) - 2(7) + 3(5)

-24 - 14 + 15

= -23

Answer:

-23

Step-by-step explanation:

Plug in each value for its respective variable.

-(24) - 2(7) + 3(5)

calculate the surface area of a cylinder with diameter 26,5 and height 63,7​

Answers

Answer:

A≈1633.63

Step-by-step explanation:

d Diameter 26

h heigth 7

A=2πd

2h+2π(d

2)2=2·π·26

2·7+2·π·(26

2)2≈1633.62818

pat has no more then 20 sweets. she counts her sweets by twos she has one sweet left. then she counts by five. she has 2 left over. how many sweets could she have​

Answers

Answer:

She can either have 7 sweets or 17 sweets.

Step-by-step explanation:

Variable x = number of sweets Pat has

x < 20

Counting by 5's (5, 10, 15) that will result in 2 left over (5 + 2, 10 + 2, and 15 + 2). This leaves 3 possible options as to how many sweets Pat has: 7, 12, and 17.

Counting by 2's (2, 4, 6 . . . 18) that will result in 1 left over (6 + 1, 10 + 1, 16 + 1) This leaves 2 possible options, given the other numbers from counting by 5's were eliminated.: 7 and 17.

please I can't understand this question ⁉️
please help​

Answers

Answer:

Explanation:

A, C and F are function

B is not a function because one of the domain which is 2 has two range mapped.

As for D and E I’m not entirely sure about that.
Hey there

If an arrow diagram represented a function, every value in the input would go to its own unique output. In other words, one number on the left side can only go to one certain number on the right side. Now that we know this, let’s answer the questions. I will answer yes if it is a function and no if it isn’t, as well as the explanation.

a) Yes

b) No. 2 goes to both a and b.

c) Yes

d) Yes

e) Yes

f) Yes


Please help me asap

Answers

Umm… sorry to say but the image is black. Please kindly resend it again!

PLEASE HELP I WILL MARK BRAINIEST IF THE ANSWER IS CORRECT!!!!!!!!

6. In triangle ABC, the length of side AB is 12 inches and the length of side BC is 20 inches Which of the following could be the length
of side AC?
A. 6 inches
B. 34 inches
C. 18 inches
D 37 inches

Answers

Answer:

C

Step-by-step explanation:

In this situation the two lowest sides, 12 and 18, add to higher than the longest side.  This is the only answer that does so.

If ∠WOZ and ∠WOX are supplementary angles and ∠WOX and ∠XOY are complementary angles, then what is the value of x and m∠XOY?
A.
x = 6; m∠XOY = 20°
B.
x = 18; m∠XOY = 6°
C.
x = 20; m∠XOY = 6°
D.
x = 6; m∠XOY = 18°

Answers

Answer:

D.x = 6; m∠XOY = 18°

Step-by-step explanation:

Supplementary angles add to 180 and complementary angles add to 90

∠WOZ + ∠WOX = 180

108 + ∠WOX = 180

∠WOX + ∠XOY = 90

∠WOX + 3x = 90

∠WOX  = 90 -3x

Replace WOX in the first equation

108 + ∠WOX = 180

108 + 90 -3x = 180

Combine like terms

198 -3x = 180

Subtract 198 from each side

-3x = 180-198

-3x = -18

Divide by -3

-3x/-3 = -18/-3

x = 6

∠XOY  = 3x = 3*6 = 18

cos a/4= -1/4
cos a= ??

Answers

Answer:

cos a / 4 = -1/4

--->cos a =- 1          

         

                                                                 

Find the line segment

Answers

Answer:

[tex]l \: is \: mid \: point \: here \: so \\ 9x - 16 = 7x + 10 \\ x \: terms \: togather \\ 9x - 7x = 10 + 16 \\ 2x = 26 \\ x = \frac{26}{2} \\ x = 13 \\ option \: (3) \\ thank \: you[/tex]

yooo cuhh's is the square root of 64 a rational or irrational . ( and is it natural or a real number

Answers

Answer:

Step-by-step explanation:

It's an integer (which includes the minus number).

It can be a natural number (if the value of an expression comes to +/- 8 and for some reason - 8 is not permitted because it's a length)

It is for certain a real number.

Hey, I need help with solving this inequality. It is for Introductory Algebra (0308) TSI Review. I need to pass the TSI which is 20 to 45 questions long and I have failed it in the past a total of four times, please help me to understand this: -4<4-2x<6


Thanks So Much!

Answers

Hello!

This one is a little tricky, but easy once you split it into a couple of parts!

So you have your whole inequality:

-4<4-2x<6

Let’s break it into two parts right down the middle. This just makes it way easier to solve! Start with -4<4-2x

Now, solve for “x” in that simple inequality. Remember that the inequality acts just like an equal sign, except for when you divide or multiply by a negative number! Then you have to flip it around.

-4<4-2x

Subtract 4 from each side

-8<-2x

Now, divide by -2 on both sides to get x by itself. Remember you are dividing by a negative in this case, so you have to flip the inequality around once you finish!

4>x

You can rewrite that as x<4 (it means the same thing :)

Now, let’s do the other half of this inequality. We’re doing the same thing, just the other side!

4-2x<6

Solve for x! Subtract 4 from each side

-2x<2

Get x by itself by dividing by -2 on both sides. Remember to flip the inequality since it’s negative!

X>-1

Ok! You’ve solved both parts of this, now it’s time to piece it all together.

You know x is less than 4 based on the first step, but greater than negative one based on the second step! Therefore, you write:

-1
I hope this makes sense! If you have any questions, please let me know!

PLEASE HELP :( WORTH 20 PIONTS I WILL MARK BRAINLIEST please answer honestly :)
here is the table of values for y = f(x)

x -2 , -1 , 0, 1, 2 , 3, 4 , 5, 6
f(x) 5, 6, 7, 8, 9, 10, 11, 12, 13
mark the statements that are true
A. f (-1) =6
B. f (5) = - 2
C. The domain for (x) is the set (-2, -1, 0, 1 , 2, 3, 4, 5, 6
D. the range for f(x) is all real numbers

Answers

Answer:

A and C

Step-by-step explanation:

A

From the table the value of f(x) when x = - 1 is 6

Thus f(- 1) = 6 ← is true

B

From the table the value of f(x) when x = 5 is 12

Thus f(5) = - 2 ← is false

C

The domain is the values of x from the table ( the input values )

domain is { - 2, - 1, 0, 1, 2, 3, 4, 5, 6 } ← is true

D

The range is the values of f(x) from the table ( the output values

range is { 5, 6, 7, 8, 9, 10, 11, 12, 13 }

The range for f(x) is all real values ← is false

0

See photo for question

Answers

Answer:

66 = ∠JKN

Step-by-step explanation:

∠JKM = 99

∠LKM = 66

KN bisects means middle point divides into two equal parts

so first lets find ∠LKN and ∠NKM

66/2 = ∠LKN and ∠NKM each

33 = ∠LKN

33 = ∠NKM

so if we add ∠JKL + ∠LKN + ∠NKM = 99

∠JKL + ∠LKN + ∠NKM = 99

∠JKL + 33 + 33 = 99

∠JKL  + 66  = 99

∠JKL = 99-66

∠JKL = 33

now to find ∠JKN we must add

∠JKL + ∠LKN = ∠JKN

33 + 33 = ∠JKN

66 = ∠JKN

Can someone pls help me with problems 4 and 5 pls this is due in a bit and I’m in a rush I’ll give 100 points it’s all I have

Answers

Answer:

Step-by-step explanation:

Answer:

#4

Let M is the midpoint of DE.

Since D is at 8 and DE = 5.

DM = ME = 5/2 = 2.5

Point M is at:

8 + 2.5 = 10.5          if E is to the right of D8 - 2.5 = 5.5            if E is to the left of D#5

Given

XY = 7, YZ = 2x - 1, XZ = 30

Since XZ = XY + YZ, set up an equation and solve for x:

7 + (2x - 1) = 302x + 6 = 302x = 24x = 12#6

The distance from your house to friend's is LN.

We have:

M is midpoint of LN, so LM = MNLM = 3xMN = 2x + 2

Set up an equation, solve for x:

3x = 2x + 23x - 2x = 2x = 2

Find the distance LM:

LM = 3*2 = 6

Find the distance LN:

LN = 2*LM = 2*6 = 12

Divide. Write your answer as a decimal.

−3.45÷(−15)=

Answers

0.23 is the answer, hope this helps.

Can someone solve/walk me through this problem please?
-6x+5y=34
-6x-10y=4

Answers

Answer: x = -4

               y = 2

Step-by-step explanation:

From equation I

-6x + 5y = 34

-6x = 34-5y

-(-6x) = -(34-5y)

or, 6x = 5y-34

or, x = 5y-34/6

so

substituting the value in equation II

-6x-10y = 4

or, -6{(5y-34)/6} - 10y = 4

or, -(5y-34)-10y = 4

or, -5y + 34-10y = 4

or, -15y = -30

or, y = -30/(-15)

so, y = 30/15

so, y = 2

now

x = (5y-34)/6

   = (5*2-34)/6

   = (10-34)/6

     = -24/6

     = -4

Answer:

x=-4, y=2

Step-by-step explanation:

-6x-10y=4

-6x=4+10y

(4+10y)+5y=34

15y=30

y=2

-6x-10(2)=4

-6x=24

x=-4

Find the perimeter, in units, of the polygon with the given vertices. Plot the points.
Round to the nearest tenth.
5. A(8,0), B(-3, 2), C(10, 2)
6. A(4, -3), B(7, 10), C(-8, 2)
7. A(-5,5), B(5, -5), C(-5, -5)
8. A(4, -3), B(7,10), C(-8, 2), D(-1, -5)
9. A(-4, -8), B(4, -8), C(4, 0), D(0, 3), E(-4, 0)

Answers

Answer: 9

Step-by-step explanation:

Plot the points

Find the distance of each side

add the three numbers

9

Answer:

5. 27

6. 43

7. 47

Step-by-step explanation:

Max spent $53 and now has no money left .He had $ before his purchase

Answers

Answer:

$53

Step-by-step explanation:

If he spent $53 and has nothing left then that's all he must've have had right? If he had more then he would have money leftover after his purchase.

Best of Luck!

He had $53 before his purchase

Andrew bought four bottles of lemonade and two bottles of water for €2.45. From the same shop Michael
bought two bottles of lemonade and four bottles of water for €2.35. What is the total cost of one bottle of
lemonade and one bottle of water?

Answers

Answer:

0.8 euro

Step-by-step explanation:

Suppose the price of bottle of lemonade is x, when the bottle of water costs y.

Four bottles of lemonade cost 4x, two bottles of water cost 2y

4x+2y=2.45

Two bottles of lemonade cost 2x, four bottles of water cost 4y

2x+4y= 2.35

These equations( 4x+2y=2.45 and 2x+4y= 2.35) are simultaneous, so

multiply the first one by -2

-8x-4y=-4.9

-8x-4y+2x+4y= -4.9+2.35

-6x=-2.55

x=0.425 euro - the cost of bottle of lemonade

y=(2.45-4*0.425)/2

y=0.375 euro - the cost of bottle of water

0.425+0.375= 0.8 euro - the total cost  of one bottle of

lemonade and one bottle of water

Answer:

price of lenonade bottle is 0.425

price of water bottle is 0.375

Step-by-step explanation:

In explaination, 'x' is the value of lemonade bottle and 'y' is the value of water bottle.

All explaination is in picture below.

hey please help i’ll give brain

Answers

Answer:

First, the dropdown is 9. Second, put in 9. The answer is 81.

Step-by-step explanation:

10* what equals 90? Well, let's do 90/10, our answer is 9. Then We are given 1 nine or 9 to put on the second slot. Our answer would be 90-9, or 81. Khan Academy is teaching you how to multiply.

Answer:

[tex]9 \times 9 = 10nines - 1nine \\ 9 \times 9 = 90 - 9 \\ 9 \times 9 = 81 \\ than \: you[/tex]

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