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Mekhanik [1.2K]
3 years ago
7

If the equation of the line is y=1/2x-3, find the x-coordinate of the Lundy whose y coordinate is 5.

Mathematics
1 answer:
Anna71 [15]3 years ago
5 0

Y=1/2x -3 find the x coordinate of the point whose y

coordinate is 5

y = 5. Write the equation as:

1/2F2x - 3 = 5

multiply both sides by 2, and you have

x - 6 = 10

x = 10 + 6

x - 16


Check solution in original equation, replace x with 16

y = 1/2F2(16) - 3

y = 8 - 3

y = 5

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Answer the questions below about the quadratic function.f(x) = -2x² - 4x
Juli2301 [7.4K]

We are given the function below;

f(x)=-2x^2-4x

PART A

We then proceed to find if the function has a minimum or maximum value. To find if the function has a minimum or maximum value. If the x^2 coefficient is positive, the function has a minimum. If it is negative, the function has a maximum.

ANSWER: From the above, we can see that x^2 is negative, hence the function has a maximum

PART B and C

To find the minimum or maximum value, we would plot the graph of the f(x). The graph can be seen below.

From the graph, the black point helps answer part A and part B.

ANSWER: The function's maximum value is f(x)=2.

This is the point where the slope of the graph is equal to zero

ANSWER: The maximum value then occurs at x= -1

We can also solve this by differentiating the function.

\begin{gathered} f(x)=-2x^2-4x \\ f^{\prime}(x)=-4x-4 \\ At\xi maxmum\text{ }f^{\prime}(x)=0 \\ -4x-4=0 \\ -4x=4 \\ x=-\frac{4}{4} \\ x=-1 \\ \therefore\text{The max}imum\text{ value occurs at x=-1} \\ \text{Inserting the value of x into the function, we have} \\ f(x)=-2(-1)^2-4(-1) \\ f(x)=-2+4 \\ f(x)=2 \\ \therefore\text{The function max}imum\text{ value is 2} \end{gathered}

5 0
1 year ago
Find the area of the square in inches^2 and enter your answer below. Do not
pogonyaev

Answer:

10.24

Step-by-step explanation:

Area of a circle=sides²

Area of a circle=(3.2)²=3.2(3.2)=10.24

7 0
3 years ago
The triangles at right are similar what is the value of x
Ilya [14]

Answer:

must remember triangle interior angle is 180.

and they said the triangle is similar so they have similar angle

180-95-58=27

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3 years ago
A truck can be rented from company a for ​$120 a day plus ​$0.40 per mile. company b charges ​$50 a day plus ​$0.50 per mile to
boyakko [2]
120 + 0.40m = 50 + 0.50m
120 - 50 = 0.50m - 0.40m
70 = 0.10m
70/0.10 = m
700 = m....they will be the same at 700 miles
3 0
3 years ago
When a data set is normally distributed, about how much of the data fall within one standard deviation of the mean?
Bezzdna [24]

That would be 68%   answer

6 0
3 years ago
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