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kolezko [41]
3 years ago
13

Which Answer is a solution to the inequality?

Mathematics
1 answer:
marusya05 [52]3 years ago
8 0

Answer:

The answer is D) (-1, -1)

Step-by-step explanation:

In order to find which answer is a solution, you have to put the ordered pair in for their given variables. If it produces a true statement, then it is a solution. In this case, D is the only one that produces a true statement.

2x + y > -4

2(-1) + (-1) > -4

-2 - 1 > -4

-3 > -4 (TRUE)

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Question 33(Multiple Choice Worth 1 points)
Rudiy27

Question 33

Answer:

f(x) = 40(1.1699)x

Step-by-step explanation:

Using the properties of exponents the term (1.04)^4x can be re-written as;

(1.04^{4})^{x}

The term in the brackets is equivalent to;

1.1699

Thus the function is equivalent to;

f(x)=40(1.1699)^{x}

Question 34

Answer:

x < the quantity negative 2 times b plus 8 all over negative 3; Choice A

Step-by-step explanation:

The first step is to subtract 2b from both sides of the inequality;

-3x > -2b+8

The final step is to divide by -3 to solve for x;

x

Question 35

Answer:

Billion gallons per day, because the independent quantity is time in days and dependent quantity is volume of water in billion gallons; Choice C

Step-by-step explanation:

Time variable in any analysis is considered an independent or predictor variable since time is not influenced by the other variables under study.

In this case, the volume of water is the response or the dependent variable.

Question 36

Answer:

Commutative Property of Addition; Choice B

Step-by-step explanation:

The Commutative Property of Addition simply states that;

a+b=b+a

Question 37

Answer:

F = 9 over 5C + 32; Choice A

Step-by-step explanation:

To solve for F in the expression;

C=\frac{5}{9}(F-32)

We first multiply both sides by 9/5;

\frac{9}{5}C=F-32

The final step is to add 32 to both sides of the equation;

F=\frac{9}{5}C+32

5 0
3 years ago
A circle has an arc of length 48pie that is intercepted by a central angle of 120°.
murzikaleks [220]

Answer:

72 units

Step-by-step explanation:

arc length= 48π

Radius: R

48π = 2 * π * R * 120/360

R = 72

6 0
3 years ago
Find the value of the variable.
mestny [16]
74 + 5x + (3x + 2) = 180 ** The sum of the 3 angles in a triangle is 180**

74 +5x + 3x + 2 = 180
76 + 8x = 180
8x = 180 - 76
8x = 104
X = 13
6 0
3 years ago
The length of a rectangle is 5 m greater than the width. The perimeter is 150 m. find the width
Elza [17]

P = perimeter

Perimeter of a rectangle = l + l + w + w

or  P = 2l + 2w

You know:

P = 150 m

l = w + 5     [length is 5 m greater than the width]

P = 2l + 2w        Plug in what you know

150 = 2(w + 5) + 2w     Simplify, distribute/multiply 2 into (w + 5)

150 = 2w + 10 + 2w

150 = 4w + 10     Subtract 10 to both sides of the equation

140 = 4w       Divide 4 on both sides

35 = w

PROOF               l = w + 5 --->  l = 40

P = 2l + 2w

150 = 2(40) + 2(35)

150 = 80 + 70

150 = 150

4 0
4 years ago
Evaluate this expression for x=-5 and y=-5​
Talja [164]

Answer:

x - 2y=5

Step-by-step explanation:

Given

x = -5; y=-5

x - 2y --- missing from question

Required

Evaluate

We have:

x - 2y

Substitute for x and y

x - 2y=-5 - 2*-5

x - 2y=-5 +10

x - 2y=5

3 0
3 years ago
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