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Verdich [7]
4 years ago
14

Evaluate f(x) = 2x - 7 when x = 4.

Mathematics
1 answer:
gavmur [86]4 years ago
7 0

Answer:

x =  \frac{11}{2}  \\

Step-by-step explanation:

f(x) = 2x - 7

when x = 4

It means that equate f(x) to the value of x that's 4 and solve for x

That's

f(x) = 4

We have

2x - 7 = 4

<u>Add 7 to both sides of the equation</u>

2x  + 7 - 7 = 4 + 7 \\ 2x = 11

<u>Divide both sides by 2</u>

\frac{2x}{2}  =  \frac{11}{2}  \\

We have the final answer as

x =  \frac{11}{2}  \\

Hope this helps you

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Hannah earned money for mowing the lawn. She buys 4 candy bars with the money she earned. Each candy bar costs $2.
mestny [16]

Answer:$8

Step-by-step explanation:

If you multiply 2(the amount of the candy bars cost) and 4(the amount of candy bars bought) you get the amount that it cost total. ($8)

7 0
4 years ago
Write a function rule for "the output is six times the input".
Romashka [77]

Answer:

y=6x

Step-by-step explanation:

In this function, the input is the variable x. The problem says that the output is six times the input, so we will need to multiply the input by 6. To write this as a function, set the output (y) equal to 6 times the input (x):

3 0
3 years ago
3y=6x-1 what would the slope of my line be?
____ [38]
Answer: 2
Explanation: I solver it and go to 2 so the slope is 2 pretty straight forward
5 0
3 years ago
Find the area of each regular polygon. Round your answer to the nearest tenth if necessary​
Gnesinka [82]

Answer:

Step-by-step explanation:

13). Area of a square = (Side)²

                                   = (BC)²

     Since, diagonals of a square bisect each other at 90°,

     ΔBOC is a right triangle.

     By applying Pythagoras theorem in the given triangle,

     BC² = OB² + OC²

     BC² = 2(OB)²

     BC² = 2(7√2)²

     BC = \sqrt{196}

     Area of square ABCD = (BC)²

                                          = (√196)²

                                          = 196 units²

14). Measure of interior angles of the regular hexagon = 120°

     Area of the regular hexagon = \frac{3\sqrt{3}}{2}(\text{side})^2

      From the given picture,

      m∠BAC = m∠ABC = m∠ACB = 60°

      Therefore, ΔABC is an isosceles triangle.

      And all sides of this triangle will be equal in measure.

      AB = AC = BC = 9 units

      Area of the given regular hexagon = \frac{3\sqrt{3}}{2}(9)^2

                                                                 = 210.44 square units

                                                                 ≈ 210.4 square units

5 0
3 years ago
In rectangle ANHG, whose perimeter is 100, OP, PQ, and QR are congruent and mutually perpendicular and O is the midpoint of AN.
MariettaO [177]

Answer:

5

Step-by-step explanation:

The sum of adjacent sides of the rectangle is half the perimeter, 50, so ...

... AH = 50-40 = 10

Then ...

... OP +QR = 10 = 2×OP . . . . . QR ≅ OP

... OP = 5 = PQ . . . . . . . . . . . . PQ ≅ OP

6 0
3 years ago
Read 2 more answers
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