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3 years ago

What is the range of this function?

Mathematics

1 answer:

Bad White [126]3 years ago

4 0

The range is the set of all y-coordinates.

R = {2, 6, 8}

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Triangles QVS and RTS are similar. Find side VS

maxonik [38]

ΔQVS is similar to ΔRTS

<u>Solve x:</u>

$\dfrac{10}{6} = \dfrac{x}{8}$

6x = 80

x = 40/3

x = 13 1/3

Answer: x = 13 1/3

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3 years ago

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For the function f(x)=3xsquared- 2x+5 find f(1) f(-2) and f(a)

Oksanka [162]

$f(x)=3x^2-2x+5\\\\
f(1):\ \ Substitude\ 1 \ as\ x\ into\ function:\\
f(1)=3*1^2-2*1+5=3-2+5=\textbf{6}\\\\
f(-2)\ \ Substitude\ x=-2\\
f(-2)=3*(-2)^2-2*(-2)+5=3*4+4+5=12+4+5=\textbf{21}\\\\
f(a)\ \ substitude\ x=a\\
f(a)=\underline{3a^2-2a+5}$

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3 years ago

Each day for 12 consecutive days, Ricardo jogged for 1 2/3 hours at an average rate of 6 1/4 miles per hour. Find the total dist

kirill115 [55]

Answer:

Your answer is $125$ miles

Step-by-step explanation:

$1$ $\frac{2}{3}$ × $6 \frac{1}{4}$ = $10 \frac{5}{12}$

$10 \frac{5}{12}$ × $12$ = $125$

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3 years ago

If tan x =3/4, and 0

jasenka [17]

Answer: x=0.6435011

Step-by-step explanation:

Take the inverse tangent of both sides of the equation to extract

from inside the tangent.

arctan

(

)

Evaluate

arctan

(

)

0.6435011

The tangent function is positive in the first and third quadrants. To find the second solution, add the reference angle from

to find the solution in the fourth quadrant.

(

3.14159265

)

0.6435011

Simplify the expression to find the second solution.

Tap for more steps...

3.78509376

Find the period.

Tap for more steps...

The period of the

tan

(

)

function is

so values will repeat every

radians in both directions.

0.6435011

3.78509376

, for any integer

Consolidate the answers.

0.6435011

, for any integer

6 0

3 years ago

What is the equation of the line????????

IrinaVladis [17]

Answer:

y=1/2x+2

Step-by-step explanation:

The equations come in the form of y=mx+c, where m is the gradient and c is the y-intercept. Looking at the graph we know that the y-intercept is (0,2), so that rules out options B and C.

To find the gradient is a little more tricky, but we can follow the formula:

$\frac{rise}{run}$ , where rise is the vertical value and run is the horizontal value

So we sub in our values:

$\frac{2}{4}$

And simplify:

$\frac{1}{2}$

So now we sub in our new found values into y=mx+c:

y=1/2x+2

8 0

2 years ago

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