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padilas [110]
3 years ago
11

The zeros of a function are the values of x x for which the function is equal to zero. Enter a number in each blank to make true

statements about the function h(x)=(2x−2)(x−5) h(x)=(2x-2)(x-5) .
Mathematics
1 answer:
Anit [1.1K]3 years ago
8 0

Answer:

1 or 5

Step-by-step explanation:

Given the function h(x)=(2x−2)(x−5)

The zeros of h(x) are the values of x for which h(x)=0

h(x)=(2x−2)(x−5)=0

Note that if a.b=0, either a=0 or b=0.

Appying the above,

If (2x−2)(x−5)=0

Then:

2x−2=0 or x-5=0

2x=2 or x=5

x=1 0r 5

The zeroes of h(x) as defined are 1 or 5.

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You have decided to invest $1000 in a savings bond that pays 4% interest, compounded semi-annually. What will the bond be worth
Evgen [1.6K]

Answer:

$2191.12

Step-by-step explanation:

We are asked to find the value of a bond after 10 years, if you invest $1000 in a savings bond that pays 4% interest, compounded semi-annually.

FV=C_0\times (1+r)^n, where,

C_0=\text{Initial amount},

r = Rate of return in decimal form.

n = Number of periods.

Since interest is compounded semi-annually, so 'n' will be 2 times 10 that is 20.

4\%=\frac{4}{100}=0.04

FV=\$1,000\times (1+0.04)^{20}

FV=\$1,000\times (1.04)^{20}

FV=\$1,000\times 2.1911231430334194

FV=\$2191.1231430334194

FV\approx \$2191.12

Therefore, the bond would be $2191.12 worth in 10 years.

3 0
3 years ago
30°<br> 8 + 6x<br> 4x + 2 <br> in a triangle
andrey2020 [161]

Answer:

x=12

Step-by-step explanation:

Simplifying

30 + 4x + 2 = 8 + 6x

Reorder the terms:

30 + 2 + 4x = 8 + 6x

Combine like terms: 30 + 2 = 32

32 + 4x = 8 + 6x

Solving

32 + 4x = 8 + 6x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-6x' to each side of the equation.

32 + 4x + -6x = 8 + 6x + -6x

Combine like terms: 4x + -6x = -2x

32 + -2x = 8 + 6x + -6x

Combine like terms: 6x + -6x = 0

32 + -2x = 8 + 0

32 + -2x = 8

Add '-32' to each side of the equation.

32 + -32 + -2x = 8 + -32

Combine like terms: 32 + -32 = 0

0 + -2x = 8 + -32

-2x = 8 + -32

Combine like terms: 8 + -32 = -24

-2x = -24

Divide each side by '-2'.

x = 12

Simplifying

x = 12

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baherus [9]

Answer: the the 2nd circular one

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