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steposvetlana [31]
3 years ago
7

6. Write an inequality to model the situation.

Mathematics
1 answer:
hram777 [196]3 years ago
7 0

Answer:

<h2>A. t ≥ 44</h2>

Step-by-step explanation:

Thomas earned $44 or more.

Thomas earned $44 → t = 44

Thomas earned more than $44 → t > 44

From both we have: t ≥ 44

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What value of c makes the statement true?
Vanyuwa [196]
c-(-17.6)=-4 \\\\ c+17.6=-4 \\\\ c=-4-17.6 \\\\ \boxed{c=-21.6\to \ variant \ A}
6 0
3 years ago
Read 2 more answers
Jamie can work no more than 20 hours a week this summer. She needs to earn at least $256 a week to save enough
ivanzaharov [21]
She will have to get 12.8 per hour
8 0
3 years ago
Solve the equation for principal values of x. Express solutions in degrees.
Hitman42 [59]

Option C:

x = 90°

Solution:

Given equation:

\sin x=1+\cos ^{2} x

<u>To find the degree:</u>

\sin x=1+\cos ^{2} x

Subtract 1 + cos²x from both sides.

\sin x-1-\cos ^{2} x=0

Using the trigonometric identity:\cos ^{2}(x)=1-\sin ^{2}(x)

\sin x-1-\left(1-\sin ^{2}x\right)=0

\sin x-1-1+\sin ^{2}x=0

\sin x-2+\sin ^{2}x=0

\sin ^{2}x+\sin x-2=0

Let sin x = u

u^2+u-2=0

Factor the quadratic equation.

(u+2)(u-1)=0

u + 2 = 0,  u – 1 = 0

u = –2, u = 1

That is sin x = –2, sin x = 1

sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.

sin x = 1

The value of sin is 1 for 90°.

x = 90°.

Option C is the correct answer.

3 0
3 years ago
Read 2 more answers
Write the equation described in each case.
Lapatulllka [165]

Answer:

The Answer is: y = -1/4x + 6

Step-by-step explanation:

Given point: (4, 5)

Given equation: y = -1/4x - 11

Slope: m = -1/4, a parallel line will have the same slope.

Start with the point slope form and solve for y:

y - y1 = m(x - x1)

y - 5 = -1/4(x - 4)

y - 5 = -1/4x + 1

y = -1/4x + 1 + 5

y = -1/4x + 6

Proof:

f(x) = -1/4x + 6

f(4) = -1/4(4) + 6

= -1 + 6 = 5, giving (4, 5)

Hope this helps!! Have an Awesome day!!! :-)

4 0
3 years ago
What is the value of x ?
I am Lyosha [343]

Answer: x is 90

Step-by-step explanation:

because x-20 is equal to 70

3 0
3 years ago
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