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3 years ago

Given F (x) equals -3x + 21 find X when f(x) equals 6

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

4 0

Answer:

F(6) = 3

Step-by-step explanation:

F(x) = -3x + 21

F(6) = -3(6) + 21 = -18 + 21 = 3

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Which table has a constant of proportionality between yyy and xxx of 101010?

Gnesinka [82]

Answer:

Only table C shows proportional relationship

Step by Step Explanation:

Given

Tables A, B an C

Required

Which table shows proportional relationship?

In table A .

x = 2 and y = 20

k = 20/2

k = 10

Also, x = 12, y = 132

k =. 132/12.

k = 11

Both values of k are not equal.

Hence, the table is not proportional

In table B

x = 5 and y = 20

k = 20/5

k = 4

Also, x = 7, y = 30

k =. 30/7

k = 4.29

Both values of k are not equal.

Hence, the table is not proportional

In table C

x = 9 and y = 90

k = 90/9

k = 10

Also, x = 14, y = 140

k =. 140/14

k = 10

Also, x = 24, y = 240

k =. 240/24

k = 10

All values of k are equal.

Hence, the table is proportional

5 0

2 years ago

The product of x and 6 is less than or equal to 24.

iren2701 [21]

Answer:

x= 4 or <

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

Line Segment BC has endpoints B (3,5) and C (7,15). Find the missing coordinates of A (x,9) and D (17,y) such that AB and CD are

o-na [289]

Answer:

x=-7

y=11

Step-by-step explanation:

Perpendicular Vectors

Two vectors defined as their endpoints $\vec u=$ and $\vec v=$ are perpendicular if their dot product a.b is zero. The dot product is

$\vec u.\vec v=ac+bd$

In other words

ac+bd=0

Let's treat all the points as the extremes of vectors, so we can easily find the missing coordinates

B (3,5) and C (7,15) define a segment, the vector

$\overrightarrow{BC}==$

The point A is A (x,9), we need to form a vector with B

$\overrightarrow{AB}==$

this vector must be perpendicular to BC, so, applying the dot product we have

$4(x-3)+40=0$

$4x-12=-40$

$x=-7$

The point D is D(17,y), we need to form a vector with C

$\overrightarrow{CD}==$

this vector must be perpendicular to BC, so, applying the dot product we have

$(4)(10)+(10)(y-15)=0$

$40+10y-150=0$

$10y=110$

$y=11$

The points are

$\boxed{A(-7,9), D(17,11)}$

4 0

3 years ago

Luke ate a snack with 91 total calories. If the chips he ate were 41.2

TiliK225 [7]

Answer:

132.2

Step-by-step explanation:

you just add the percentage of its calories

7 0

3 years ago

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For the linear function f(x) = -2x+1 , find the following

Leya [2.2K]

Given:

The function is:

$f(x)=-2x+1$

To find:

a. Slope and Y-intercept.

b. Is the function increasing, decreasing, or constant, justify your answer.

c. Graph the function, label x, and y-intercepts.

Solution:

a. We have,

$f(x)=-2x+1$ ...(i)

The slope intercept form of a line is:

$y=mx+b$ ...(ii)

Where, m is the slope and b is the y-intercept.

On comparing (i) and (ii), we get

$m=-2,b=1$

Therefore, the slope of the line is -2 and the y-intercept is 1.

b. If the slope of a linear function is negative, then the function is decreasing.

If the slope of a linear function is positive, then the function is increasing.

If the slope of a linear function is 0, then the function is constant.

The slope of the linear function is negative.

Therefore, the function is decreasing.

c. We have,

$f(x)=-2x+1$

At $x=0$ , we get

$f(0)=-2(0)+1$

$f(0)=1$

So, the y-intercept is at (0,1).

At $f(x)=0$ , we get

$0=-2x+1$

$2x=1$

$x=\dfrac{1}{2}$

$x=0.5$

So, the x-intercept is at $\left(0.5,0\right)$ .

Plot the points $(0,1), \left(0.5,0\right)$ and connect them by a straight line as shown below:

4 0

3 years ago