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3 years ago

The output of a function is 5 more than -2 times the input. Write and solve an equation to find the input when the output is 11

Mathematics

1 answer:

Law Incorporation [45]3 years ago

7 0

Answer:

17 is x=6.

Step-by-step explanation:k

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Mr. Wong bought 6 raffle tickets for $4 each. He gave each of his 3 children the same number of tickets. What was the cost of th

ddd [48]

W=cost of one ticket

6w=$4
divide 6 on both sides
w=2/3 dollars per ticket

each child will get two tickets because 6/3 is 2

2/3×2= 4/3= $1.33 per child

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3 years ago

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Javon wanted to make a homemade exercise ball by pouring sand into a ball. He purchased 729 cubic inches of sand and wants to fi

ELEN [110]

R = cuberoot(729*3/4pi)

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3 years ago

Question 15 (5 points)<br> Find the angle between u = <7, -2> and v= (-1,2>.

Tema [17]

Answer:

Approximately $2.3127$ radians, which is approximately $132.51^{\circ}$ .

Step-by-step explanation:

Dot product between the two vectors:

$\begin{aligned}& u\cdot v \\ =\; & 7 \times (-1) + (-2) \times 2 \\ =\; & (-11) \end{aligned}$ .

Magnitude of the two vectors:

$\begin{aligned} \| u \| &= \sqrt{{7}^{2} + {(-2)}^{2}} \\ &= \sqrt{53} \end{aligned}$ .

$\begin{aligned} \| v \| &= \sqrt{{(-1)}^{2} + {2}^{2}} \\ &= \sqrt{5} \end{aligned}$ .

Let $\theta$ denote the angle between these two vectors. By the property of dot products:

$\begin{aligned} \cos(\theta) &= \frac{u \cdot v}{\|u\| \, \| v \|} \\ &= \frac{(-11)}{(\sqrt{53})\, (\sqrt{5})} \\ &= \frac{(-11)}{\sqrt{265}}\end{aligned}$ .

Apply the inverse cosine function ${\rm arccos}$ to find the value of this angle:

$\begin{aligned} \theta &= \arccos\left(\frac{u \cdot v}{\| u \| \, \| v \|}\right) \\ &= \arccos\left(\frac{(-11)}{\sqrt{265}}\right) \\ & \approx \text{$2.3127$ radians} \\ &= 2.3127 \times \frac{180^{\circ}}{\pi} \\ &\approx 132.51^{\circ}\end{aligned}$ .

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2 years ago

If a triangle has side lengths of 14, 48, and 50 units respectively, what type of triangle is it? An acute, obtuse, or right? Or

zubka84 [21]

Answer:

I think it would be a obtuse triangle.

Step-by-step explanation:

Considering the Triangle Inequality theorem, for sides to make a triangle to two smallest sides must have a greater sum then the longest. Now that we know its a triangle we must decided what type of triangle it is. You can rule out acute because of the 14. Now, I used the 3:4:5 right triangle rule, which states that a right triangle must a a ratio of 3:4:5. Again, I think the 14 causes the triangle to be obtuse.

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3 years ago

What are the y-intercepts to graph the equation-4x - 3y = 36

Eddi Din [679]

Answer:

Y-Int = -12

Step-by-step explanation:

First, I would change the equation to slope intercept form:

-3y = 36 + 4x

3y = -36 - 4x

y = -12-4/3x

y = -4/3x - 12

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2 years ago

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