If (x – 5) is a factor of f(x), which of the following must be true?

A: A root of f(x) is x=-5
B: A root of f(x) is x=5
C: Both x=-5 and x=5 are roots of f(x)
D: Neither x=-5 nor x=5 are a root of f(x)​

Answer:

a zeros

Step-by-step explanation:

The height that the golf ball travels from its starting point to the point where it begins to fall toward the ground can be calculated using the zeros of the equations. Option A is correct.

An equation is a statement that two expressions, which include variables and/or numbers, are equal. In essence, equations are questions, and efforts to systematically find solutions to these questions have been the driving forces behind the creation of mathematics.

It is given that, a golfer hits a ball off a tee. The height of the golf ball in the coordinate plane is represented by a quadratic function, with the origin being the golf ball's initial position.

The equations give the relation of height, time, and velocity in terms of the quadratic equation is,

h = -t² + vt + s,

Since s is the height in feet and v is the initial velocity in feet/second, one may determine the ball's maximum height.

After solving the equation and finding the values of zeroes gives the maximum height.

Thus, the height that the golf ball travels from its starting point to the point where it begins to fall toward the ground can be calculated using the zeros of the equations. Option A is correct.

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Answer:

see below

Step-by-step explanation:

A.29 > | -29 |

Absolute value means take the non negative value

A.29 >  29

This is not true

B.| -22 | 22

Absolute value means take the non negative value

22 You do not have an inequality so we cannot solve this

D. | -29 | < | 0 |

Absolute value means take the non negative value

29 < 0

This is not true

Since A and D are not true,  B must be true

Answer:

1 2/21 liters

Step-by-step explanation:

Damon drank 2/3 liter of water Monday before going jogging. He drank 3/7 liter of water after his jog. How much water did Damon drink altogether?

Volume of water Damon drank before jogging = 2/3 liters

Volume of water Damon drank after jogging = 3/7 liters

Total volume of water Damon drank altogether = 2/3 liters + 3/7 liters

= 2/3 + 3/7

= 14+9/21

= 23/21

= 1 2/21

Total volume of water Damon drank altogether = 1 2/21 liters

Answer:

She will have 17 and 3/5 cups of green paint.

Step-by-step explanation:

1. Identify your key factors:

Yellow paint: 4/5

Blue paint: 4/5

Mixes: 11 batches.

2. Arrange and solve:

4/5 x 11/1 = 44/5 x 2/1 = 88/5

[4/5 is the same amount for eithr paint so multiplying it by 2 is will give the same result, it's just less work.]

3. Simplify:

17 3/5, decimal 17.6

Answer:

A right 2 1 up

B the equivalent ratios

C the same

Step-by-step explanation:

Answer:

.52

Step-by-step explanation:

math ting

Answer:

A is correct

Step-by-step explanation:

2 ^-3 is equal to 0.125

A is also equal to 0.125

Answer:

∠ c = 29°

Step-by-step explanation:

∠ b = 97° ( vertical angles are congruent )

The sum of the 3 angles in a triangle = 180°

Sum the 3 angles and equate to 180, that is

∠ c + 54° + 97° = 180°

∠ c + 151° = 180° ( subtract 151° from both sides )

∠ c = 29°

Answer:

Step-by-step explanation:

x2 - 49

Both are squares so

Square root (x2) - Square root (49)

= x - 7

The other two answers are x - 3 and x - 4

Answer:

Use the formula (x-a)(x+a)=x^2 - a^2

so what is the square root of 49, 9, and 16? By finding the square root you get a, and you can just plug it into the formula. For example the first one, 7 is the square root of 49. So, (x-7)(x+7)

Answer:

Around 300 pounds

Step-by-step explanation:

Answer:

x=10/69

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

Step 2: Add 34x to both sides.

Step 3: Add 3 to both sides.

Step 4: Multiply both sides by 2/69.

if my math is correct

Answer:

A 8:12

Step-by-step explanation:

If you multiply 2 and 3 by 4 you get 8:12

Answer:

The correct answer is A

Answer:

$962.0

Step-by-step explanation:

The formula for amount is ;

[tex]A=P(1+\frac{r}n} )^{nt}[/tex]

where

A= amount at the end of the period= $2000

P=minimum amount necessary to fund the payments

r= annual interest rate = 5% = 0.05

n= number of compounding per year , 1

t= time period = 15 years

Applying the values to the formula as;

[tex]2000=P(1+\frac{0.05}{1} )^{1*15} \\\\\\2000=P(1.05)^{15} \\\\\\2000/2.079=P\\\\\\962.0=P[/tex]

Answer:

179:321

Step-by-step explanation:

If Sn is the sum of the first n term of a sequence, the ratio will be expressed as:

Sn/S'n = 5n+4/9n+6

The sum of nth term of a sequence is expressed as

Sn = n/2[2a+(n-1)d]

The expression becomes

{n/2[2a+(n-1)d]}/{n/2[2a+(n-1)d']} = 5n+4/9n+4

Open the bracket

a+(n-1/2)d/a+(n-1/2)d' = 5n+4/9n+4

Since the 18th tern is expressed as

T18 = a+(18-1)d

T18 = a+17d

The expression becomes

T18/T'18 = a+(n-1/2)d/a+(n-1/2)d'

a+17d/a'+17d' = a+(n-1/2)d/a+(n-1/2)d'

Compare and contrast to get n

On comparing both sides of the equation

17 = n-1/2

n-1 = 17×2

n-1 = 34

n = 34+1

n = 35

If the nth term is 5n+4

18th term will be 5(35)+4 = 179

If the nth term is 9n+6

18th term will be 9(35)+6= 321

Hence the ratio of their 18th term will be 179:321

Answer:

C is the answer

Hope I helped

Answer:

1.33%

Step-by-step explanation:

[tex]Percentage\ change=(\frac{9.76-9.63}{9.76})100\\\\Percentage\ change=(\frac{0.13}{9.76})100\\\\Percentage\ change=1.33\\[/tex]

So the percentage decrease was about 1.33%

Answer:

its positive

Step-by-step explanation:

because the line going upward

Answer:

positive

Step-by-step explanation:

Answer:

area of circle = 2464 cm²

Step-by-step explanation:

circumference = 176 cm

formula of circumference = 2πr

2πr = 176 cm

2 × 22/7 × r = 176 cm

44/7 ×r = 176 cm

r = 176 ÷ (44/7)

r = 176 × 7/44

r = 28 cm

area of circle

= πr²

= 22/7 × 28²

= 22/7 × 784

= 2464 cm²

Answer:

63/10

Step-by-step explanation:

Answer:

63/10

Step-by-step explanation:

6 3/10

see, from the denominator that means 10,

multiply to whole, then 10×6,

we got 60 right;

now add numerator 60+3 = 63

here we got improper fraction,

that is 63/10

Step-by-step explanation:

p(q-r) = pq - pr

Hope it helps

Answer:

x=4 y=6

Step-by-step explanation:

Answer:

Step-by-step explanation:

y=0.860x17+3.302

foot is 17.992 inches long

Unfortunately, I don't have access to your data so i can't give a solid answer. However, I can tell you that if your coefficeint (number before x) is greater than 0.86, you have a greater rate of change. If its smaller, its a lower rate of change.

Answer: 17.922

Step-by-step explanation:

Answer:

Huilan is 12 and Thomas is 6

Step-by-step explanation:

Answer:

thomas is 6 years old

Step-by-step explanation:

if he is 6. 6x2=12 +6 =18

Answer:

No se

Step-by-step explanation:

Answer:2x1=2 2x2=4 2x3=6 2x4=8 2x5=10 2x6=12 2x7=14 2x8=16 2x9=18 2x10=20 2x11=22 2x12=24

Step-by-step explanation:

Those are the basics, just add 2 and that's it

Answer:

Step-by-step explanation:

2 times table

1 x 2 = 2

2 x 2 = 4

3 x 2 = 6

4 x 2 = 8

5 x 2 = 10

6 x 2 = 12

7 x 2 = 14

8 x 2 = 16

9 x 2 = 18

10 x 2 = 20

11 x 2 = 22

12 x 2 = 24

Answer:

27

Step-by-step explanation:

If  [tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex],  then the value of  [tex]f(8)[/tex] is  [tex]f(8) = \frac{-93}{4480}[/tex].

A quadratic equation is an algebraic equation in the variable of the second degree. The quadratic equation is in the form of [tex]ax^{2} + bx + c = 0[/tex], where [tex]a,b,c[/tex]  are the real numbers.

We have

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

According to Quadratic Equation,

[tex]f(x)=ax^{2} +bx+c[/tex]

And we have,

[tex]f(x) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

So,

[tex]f(8) = \frac{1}{2x^2} - \frac{1}{4x +3}[/tex]

i.e. putting [tex]x=8[/tex],

[tex]f(8) = \frac{1}{2(8)^2} - \frac{1}{4*8 +3}[/tex]

[tex]f(8) = \frac{1}{128} - \frac{1}{35}[/tex]

Solving the above part,

[tex]f(8) = \frac{ 35-128 }{ 128*35 }[/tex]

[tex]f(8) = \frac{-93}{4480}[/tex]

Hence, we can say that value of  [tex]f(8) = \frac{-93}{4480}[/tex] .

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Answer:

10+3i

Step-by-step explanation:

Subtract 3 and 1 which is 2, Now the equation looks like this:

(12+3i)-(2)

Multiply the negative with 2:

12+3i-2

Subtract 12 and 2:

10+3i

Answer: 10+3i

Hope this helps!