Ask question

Ask question

All categories

3 years ago

7

which of the following ordered pairs could be placed in the table below and still have the relation qualify as a linear function

? -5,7,-3,15,-1,23, ?, ?

1 answer:

mr_godi [17]3 years ago

8 0

(1,31)
Subtract 2 from x, add 8 to y

You might be interested in

Justin got a sack of Jelly beans in 5 different colors. Half if them were red,1/6 were green,1/6 were yellow,1/12 were orange, a

Mrrafil [7]

Answer:

Total number of Jelly beans in the sack = 72

Number of red beans = 36

Number of green beans = 12

Number of yellow beans = 12

Number of orange beans = 6

Number of black beans = 6

Step-by-step explanation:

Let total number of jelly beans be = $x$

We are given fractions of different colors of beans. To find the exact number of beans we need to multiply the fraction with the total number of beans.

Fraction of total are red beans = $\frac{1}{2}$

Number of red beans = $\frac{1}{2}\times x= \frac{x}{2}$

Fraction of total are green beans = $\frac{1}{6}$

Number of green beans = $\frac{1}{6}\times x= \frac{x}{6}$

Fraction of total are yellow beans = $\frac{1}{6}$

Number of yellow beans = $\frac{1}{6}\times x= \frac{x}{6}$

Fraction of total are orange beans = $\frac{1}{12}$

Number of orange beans = $\frac{1}{12}\times x= \frac{x}{12}$

Number of black beans = 6

Total number of beans can be given as

$\frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6$

Since we assumed total number of beans to be $x$ , so we have.

$\frac{x}{2}+\frac{x}{6}+\frac{x}{6}+\frac{x}{12}+6=x$

Multiplying each term by 12 to remove fractions.

$(12\times\frac{x}{2})+(12\times\frac{x}{6})+(12\times\frac{x}{6})+(12\times\frac{x}{12})+(12\times6)=12\times x$

$6x+2x+2x+x+72=12x$

combining like terms.

$11x+72=12x$

Subtracting both sides by $11x$

$11x+72-11x=12x=11x$

$72=x$

∴ $x=72$

Total number of Jelly beans in the sack = 72

Number of red beans = $\frac{1}{2}\times 72= 36$

Number of green beans = $\frac{1}{6}\times 72= 12$

Number of yellow beans = $\frac{1}{6}\times 72= 12$

Number of orange beans = $\frac{1}{12}\times 72= 6$

number of black beans = 6

8 0

3 years ago

Evaluate cot870°.<br> 1. - sqrt3<br> 2. -1/sqrt3<br> 3. 1/sqrt3<br> 4. sqrt3

ivolga24 [154]

ANSWER

$-\sqrt{3}$

EXPLANATION

The given angle is 870°.

870°-360°-360°=150°

This means that:

870° is coterminal with 150°, hence its terminal side is in the second quadrant.

It makes an acute angle of 30° with the x-axis.

Note that cotangent is negative in the second quadrant,

Hence,

$\cot(870 \degree) = \cot(150 \degree) = - \cot(30 \degree) = - \frac{1}{ \tan(30 \degree) } = - \sqrt{3}$

The first option is correct.

3 0

4 years ago

5 A dangerous criminal has escaped from

zepelin [54]

Answer:

314 mile²

Step-by-step explanation:

area = πr² = 3.14 x 10² = 314 mile²

4 0

3 years ago

Simplify please <br> (n^11)^2

Citrus2011 [14]

Answer:

n^22 (I love your profile picture by the way)

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

Consider kite WXYZ. What are the values of a and b? a = 4; b = 10. a = 4; b = 40, a = 8; b = 10, a = 8; b = 40

Brut [27]

Check the picture below.

let's recall that a kite is a quadrilateral, and thus is a polygon with 4 sides

sum of all interior angles in a polygon

180(n - 2) n = number of sides

so for a quadrilateral that'd be 180( 4 - 2 ) = 360, thus

$\bf 3b+70+50+3b=360\implies 6b+120=360\implies 6b=240 \\\\\\ b=\cfrac{240}{6}\implies b=40 \\\\[-0.35em] ~\dotfill\\\\ \overline{XY}=\overline{YZ}\implies 3a-5=a+11\implies 2a-5=11 \\\\\\ 2a=16\implies a=\cfrac{16}{2}\implies a=8$

3 0

3 years ago

Read 2 more answers