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Masja [62]
3 years ago
9

Solve the system of equations below by graphing both equations with a pencil and paper. What is the solution? y=-x-1 y=x+3

Mathematics
2 answers:
Tasya [4]3 years ago
3 0

Answer:

C. (-2, 1)

Step-by-step explanation:

See the attached graph.

The slope of the first line is -1, and its y-intercept is -1.

The slope of the second line is +1 and its y-intercept is +3.

The solution is the point that is common to both lines, (-2, 1).

vichka [17]3 years ago
3 0

Answer:

C. (-2, 1)

Step-by-step explanation:

APEX

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The rate of increase of population of Hermitville is given by:
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PR=(186480-142340)/142340×100
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The population increase in Hermitville is 31.01;
This implies that it's population growth is faster than that of Crabville by a factor of
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The answer is B
5 0
3 years ago
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15. Sofie bought a desk for $45 that was
Alchen [17]

Answer:

10%

Step-by-step explanation:

50+50=100

45+45=90

100-90=10

8 0
3 years ago
What is<br> |Ay|<br> in the system of linear equations below?<br><br> -8x+y=-6<br> 3x-2y=-1
Anna71 [15]

Considering the given system of equations, it is found that:

|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the system is:

-8x+y=-6

3x-2y=-1

In matrix form, it is given by:

\left[\begin{array}{cc}-8&1\\3&-2\end{array}\right]\left[\begin{array}{c}x\\y\end{array}\right] = \left[\begin{array}{c}-6\\-1\end{array}\right]

To find the matrix |Ay|, we replace the y coefficients of 1 and -2 by the results of -6 and -1, hence:

|Ay| = \left|\begin{array}{cc}-8&1\\-6&-1\end{array}\right|

More can be learned about a system of equations at brainly.com/question/24342899

6 0
2 years ago
A family of 2 adults and 4 children is going to an amusement park. Admission is a 21 point 75 for adults and 15 point 25 for chi
Juliette [100K]

Answer:

Step-by-step explanation:

The number of adults in the family that is going to the amusement park is 2.

The number of children in the family that is going to the amusement park is 4.

Admission is a 21 point 75 for adults and 15 point 25 for children. This means that the admission cost for each adult is 21.75 and the admission cost for each adult is 15.25. Therefore,

The total cost of admission for the 2 adults would be

21.75 × 2 = 43.5

The total cost of admission for the 4 children would be

15.25 × 4 = 61

Therefore, the total cost of the families admission would be

43.5 + 61 = 104.5

7 0
3 years ago
What is the simplified base of the function f(x) = One-fourth (Root Index 3 StartRoot 108 EndRoot) Superscript x?
marta [7]

Answer:

The base is: 3 \sqrt[3]{4}

Step-by-step explanation:

Given

f(x) = \frac{1}{4}(\sqrt[3]{108})^x

Required

The base

Expand 108

f(x) = \frac{1}{4}(\sqrt[3]{3^3 * 4})^x

Rewrite the exponent as:

f(x) = \frac{1}{4}(3^3 * 4)^\frac{1}{3}^x

Expand

f(x) = \frac{1}{4}(3^3^\frac{1}{3} * 4^\frac{1}{3})^x

f(x) = \frac{1}{4}(3 * 4^\frac{1}{3})^x

Rewrite as:

f(x) = \frac{1}{4}(3 \sqrt[3]{4})^x

An exponential function has the following form:

f(x)=ab^x

Where

b \to base

By comparison:

b =3 \sqrt[3]{4}

So, the base is: 3 \sqrt[3]{4}

4 0
2 years ago
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