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3 years ago

In the function y=2-5x, what is f(3)?

Mathematics

1 answer:

kogti [31]3 years ago

5 0

Answer:

- 13

Step-by-step explanation:

\begin{gathered}y = 2 - 5x \\ f(x) = 2 - 5x \\ f(3) = 2 - 5(3) \\ f(3) = 2 - 15 = - 13\end{gathered}

y=2−5x

f(x)=2−5x

f(3)=2−5(3)

f(3)=2−15 = −13

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2sin(2x) + 1 = 3sin(2x) Solve for x with exact answers. The domain is 0 ≤ x ≤ π

Temka [501]

Answer:

x = π/4.

Step-by-step explanation:

3sin(2x) = 2sin(2x) + 1

3sin(2x) - 2sin(2x) = 1

1sin(2x) = 1

sin(2x) = 1

When a variable n = π/2, sin(π/2) = 1 [refer to the unit circle].

2x = π/2

x = π/4.

Hope this helps!

7 0

3 years ago

the length of a rectangle is 5 units longer than its width. If the perimeter must be at least 34 units, what are the possible le

ololo11 [35]

Answer:

w ≥ 6

l ≥ 11

Step-by-step explanation:

The perimeter of a rectangle is equal to P = 2l+2w where l=length and w=width. Here the length is 5 feet longer than the width or 5+w. This means the width is w. Substitute P = 34, l=5+w and w into the perimeter equation. Then solve for w.

34 ≤ 2*(5+w) + 2w

34 ≤ 10+2w+2w

34 ≤ 10+4w

24 ≤ 4w

6 ≤ w

This means the width must be at least 6 so the solution is w ≥ 6.

To find the length substitute 6 into l ≤ 5+w.

l ≤ 5 + 6

l ≤ 11

The length is l ≥ 11.

6 0

4 years ago

Secants AC and DB intersect at point E inside the circle. Given that the measure of arc CD = 40o, arc AB = 60o, and arc BC = 160

s344n2d4d5 [400]

Answer:

C. $130^{\circ}$

Step-by-step explanation:

Please find the attachment.

We have been given that secants AC and DB intersect at point E inside the circle. Given that the measure of arc $CD = 40^o$ , arc $AB = 60^o$ , and arc $BC = 160^o$ . We are asked to find the measure of angle AED.

We know that the measure of angle formed by two intersecting secants is half the sum of measure of the arcs by intercepted by the angle and its vertical angle.

$\angle AED=\frac{\widehat{BC}+\widehat{AD}}{2}$

Let us find measure of arc AD by subtracting measure of given arcs from 360 degrees as:

$\widehat{AD}=360^{\circ}-(60^{\circ}+40^{\circ}+160^{\circ})$

$\widehat{AD}=360^{\circ}-(260^{\circ})$

$\widehat{AD}=100^{\circ}$

$\angle AED=\frac{160^{\circ}+100^{\circ}}{2}$

$\angle AED=\frac{260^{\circ}}{2}$

$\angle AED=130^{\circ}$

Therefore, measure of angle AED is 130 degrees and option C is the correct choice.

6 0

3 years ago

Considering the expression x/2 + y2. Which statements are true?Mark all that apply.

Svet_ta [14]

Answer:

D. 8/2 +(-10)² = 104

Step-by-step explanation:

To find which statements are true, evaluate the expression for the given variable values. You do this by putting the numbers in place of the respective variables, then doing the arithmetic.

The respective expression values are ...

A 83 ≠ 37 . . . . (4/2) +9² = 2 +81 = 83

B 31 ≠ 61

C 52 ≠ 61

D 104 =104 . . . . true statement

I find it less tedious to write a function into a calculator or spreadsheet and let it do the repetitive math. Examples of the calculation are shown above.

7 0

3 years ago

Convert. If necessary, round to the nearest tenth. (Recall: 1.06 qt. ≈ 1 L) 15 L qt. a. 15.9 c. 13.4 b. 159 d. 134

Makovka662 [10]

The answer is a. 15 L x 1.06= 15.9

4 0

3 years ago

In the function y=2-5x, what is f(3)?​

In the function y=2-5x, what is f(3)?