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IRISSAK [1]
3 years ago
14

Which function is represented by the graph?

Mathematics
1 answer:
Debora [2.8K]3 years ago
6 0

Answer:   f(x)=-\frac{1}{2}x+6

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is hte y-intercept.

In this case, you can identify in the graph that the y-intercept is:

y=6

 By definition, the slope can be calculated with this formula:

m=\frac{y_2-y_1}{x_2-x_1}

Then, in order to find the slope, you can pick the points (0,6) and (12,0) and say that:

y_2=0\\y_1=6\\\\x_2=12\\x_1=0

So, substituting these values into the formula, you get:

m=\frac{0-6}{12-0}=-\frac{1}{2}

Therefore, the function represented by the given graph is:

f(x)=-\frac{1}{2}x+6

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Find the equation of the line through ( - 10, - 8) that is perpendicular to the line through (10,6), (5,5).
Furkat [3]

Answer:

y=-5x-58

Step-by-step explanation:

The equation of a line in slope-intercept form is y=mx+b where m is the slope and b is the y-intercept.

Perpendicular lines have opposite reciprocal slopes.

Anyways we need to find the slope of the line going through (10,6) and (5,5).

To find the slope, we are going to line up the points vertically and subtract vertically, then put 2nd difference over 1st difference. Like so:

 (  10   ,   6)

- (   5   ,   5)

------------------

    5         1

So the slope of the line through (10,6) and (5,5) is 1/5.

The slope of a line that is perpendicular will be the opposite reciprocal of 1/5.

The opposite reciprocal of 1/5 is -5.

The line we are looking for is y=-5x+b where we need to find the y-intercept b.

y=-5x+b goes through (-10,-8)

So we can use (x,y)=(-10,-8) to find b in y=-5x+b.

y=-5x+b with (x,y)=(-10,-8)

-8=-5(-10)+b

-8=50+b

Subtract 50 on both sides:

-8-50=b

-58=b

So the equation is y=-5x-58

4 0
3 years ago
In triangle QRS, QR = 8 and RS = 5. Which expresses all possible length of side QS?
VLD [36.1K]
Obviously it's answer D) Why?

a) any side of a triangle is SMALLER than the SUM of the 2 others

b) any side of a triangle is GREATER than the DIFFERENCE of the 2 others

Hence D) 8-5 < QS < 8+5==>3 < QS < 13
8 0
3 years ago
Read 2 more answers
HELP ASAP PLEASEE!! a metal alloy weighing 4 mg and containing 20% iron is melted and mixed with 12 mg of a different alloy whic
saul85 [17]

Answer:

35 percent

Step-by-step explanation:

To solve this problem we multiply the amount by the percent and add them up to get the total amount times the percent

amount * percent + amount * percent = total amount * percent

4  * .20 + 12  * .40 = (4+12) * x

.8 + 4.8 = 16 x

Combine like terms

5.6 = 16x

Divide by 16

5.6/16 = 16x/16

.35 =x

35 percent


4 0
3 years ago
–12.3 – 14.2 <br><br> A. 0.9 <br> B. 26.5 <br> C. –0.9 <br> D. –26.5
IrinaK [193]

Answer:

-26.5

Step-by-step explanation:

-12.3 - 14.2 =

in addition or subtraction, if the signs are alike, u add them and keep the same sign

so, -12.3 - 14.2 = - 26.5

but dont get this rule confused with multiplying or dividing...because those have different rules

3 0
3 years ago
3 more than 6 times a number
Snowcat [4.5K]

Answer:

assuming you're looking for an expression, it would be written as "6x+3".

4 0
3 years ago
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