Complete the table of inputs and outputs for the function

x >>>>>>>> f(x)

–9 >>>>>> 10

–7 >>>>>>> 0

0 >>>>>>>> –35

5 >>>>>>>> –60

Step-by-step explanation:

f(x) = –5(x + 7)

1. x = –9, f(x) =?

f(x) = –5(x + 7)

f(x) = –5(–9 + 7)

f(x) = –5(–2)

f(x) = 10

2. f(x) = 0, x =?

f(x) = –5(x + 7)

0 = –5(x + 7)

Divide both side by –5

0 / –5 = x + 7

0 = x + 7

Collect like terms

x = 0 – 7

x = –7

3. x = 0, f(x) =?

f(x) = –5(0 + 7)

f(x) = –5(7)

f(x) = –35

4. f(x) = –60, x =?

f(x) = –5(x + 7)

–60 = –5(x + 7)

Divide both side by –5

–60 / –5 = x + 7

12 = x + 7

Collect like terms

x = 12 – 7

x = 5

SUMMARY:

x >>>>>>>> f(x)

–9 >>>>>> 10

–7 >>>>>>> 0

0 >>>>>>>> –35

5 >>>>>>>> –60

answer: 1 and 3

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°