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evablogger [386]
4 years ago
9

What linear function can be represented by the set of ordered pairs? {(−1, −10), (3, 2), (5, 8), (7, 14)} enter your answer in t

he box.
Mathematics
2 answers:
Lunna [17]4 years ago
7 0
(-1,-10)(3,2)
slope = (2 - (-10) / (3 - (-1) = (2 + 10) / (3 + 1) = 12/4 = 3

y = mx + b
slope(m) = 3
(3,2)...x = 3 and y = 2
now we sub and find b, the y int
2 = 3(3) + b
2 = 9 + b
2 - 9 = b
-7 = b

so ur equation is : y = 3x - 7 or f(x) = 3x - 7
loris [4]4 years ago
4 0

Answer:

f(x) = 3x - 7

Step-by-step explanation:


You might be interested in
If you could answer them all It would really be helpful PLEASE marking brainliest
Paraphin [41]

Answer:

1. the area of the triangle minus the area of the small, inner rectangle. what did you not understand there ?

the standard formula (hi, internet !) for the area of a triangle is baseline×height/2.

the standard formula (hi, first grade !) for the area of a rectangle is length×width.

that's it.

1.a.

the volume of an object regularity shaped like a silo is always ground area times height.

for this object we only need to imagine to stand the object up sideways on the triangle side.

and don't forget - an area is always a square unit (like cm²,m², ft², ...). and a volume is always a cubic unit (like cm³, m³, ft³, ...).

so then, the triangle area is the ground area. and the original long side line of the object is is height.

as we said in 1. above, the area of a triangle is baseline×height (of the triangle, not of the overall object) divided by 2.

so, we have here 6×4/2 = 6×2 = 12 m²

and now the ground area × object height = 12×8=96 m³

b.

the standard formula for the volume of a ball (hi, internet !) is pi×r³.

so, we have here pi×9³. can you calculate that with your calculator ? that is pi×729 = 2290.221 cm³

2a.

the height of the cone is (as the drawing already suggests) determined via the right-angled triangle of the radius (half of the diameter) of the ground circle, the height of the cone and the length of the sideline on the outside mantle of the cone. this sideline is the Hypotenuse (the baseline of the triangle opposite of the 90 degree angle).

so, we use Pythagoras

c² = a² + b² (c being the Hypotenuse, a and b being the sides).

11² = 8² + h²

121 = 64 + h²

h² = 57

h = 7.55 cm

2b.

the standard formula for the volume of a cone (hi, internet !) is

pi×r²×h/3

pi×8²×7.55/3 = pi×64×7.55/3 = 506 cm³

Step-by-step explanation:

all of that you could easily search on the internet and since it yourself way faster than putting things in here and waiting for responses.

as there is really nothing to explain but just to use the standard formulas with the given numbers.

7 0
3 years ago
Suppose it takes 180 credits to get a baccalaureate degree. You accumulate credit at the rate of one credit per quarter for each
jonny [76]

The total time to be invested to get a degree would be 630 hours

Total credits required = 180 credits

Number weeks In a quarter = 10 weeks

Number of credit earned per hour = 1 credit

To earn a degree :

Number of credits required per week :

180 / 10 = 18 credits per week

Since, credit is earned at a rate of 1 per hour ; then ;

Number of class hours per week = 18 hours per week.

This means 180 class hours is required.

For every class hour ; 2.5 hours is used for outside class study

Hence, Total outside class study hours will be :

(2.5 hours × 180 hours) = 450 hours

Therefore,

Total hours that would be invested :

(total outside class hours + tt’otal class hours)

(450 + 180) = 630 hours

Learn More : brainly.com/question/18796573

3 0
3 years ago
Write an equation in slope-intercept form for the line that satisfies the following condition. passes through (10, 14), parallel
givi [52]
First off need to plot the equation on the graph..

After doing this you determine that the slope of the line it is perpendicular to is 3/7 and it has a y-intercept of 36/7.

Slope intercept is y= mx+b

"m" being the slope and "b" being your y-intercept.

Well..

This isn't your final answer..

All you have to do is reverse the slope by making it negative to make it perpendicular to the line.

So..

Final Answer is: y= -3/7x+36/7 or y= -3/7x+5.142 (rounded to the nearest thousandth).


5 0
4 years ago
PLS HELP :( WILL GIVE BRAINLIEST+ 25 POINTS
crimeas [40]
Your answer is going to be B.3! Hope it helps
3 0
4 years ago
Read 2 more answers
Drag the tiles to the correct boxes to complete the pairs.
Elza [17]

Answer:

Part 1)  -7 →  \dfrac{y^2-y+6}{-2(y+7)}  

Part 2) 3/2 → \dfrac{y^2-2y+1}{2y-3} 

Part 3) 1  → \dfrac{5y^2-6y+1}{-5(y-1)}

Part 4) -1/4 → \dfrac{y(y+5)}{4y+1}

Step-by-step explanation:

<u><em>The complete question in the attached figure</em></u>

we know that

To find out the non permissible replacements for y, equate the denominator of each expression equal to 0.

step 1    

we have

\dfrac{y^2-2y+1}{2y-3}

Equate (2y-3) equal to 0.

2y-3=0

solve for y

Adds 3 both sides.

2y=3

Divide both sides by 2.

y=\dfrac{3}{2}

therefore

3/2 is the non permissible replacement for y.

step 2

we have

\dfrac{y(y+5)}{4y+1}

Equate (4y+1) equal to 0.

4y+1=0

Subtract 1 both sides

4y=-1

Divide by 4 both sides

y=-\dfrac{1}{4}

therefore

-1/4 is the non permissible replacement for y.

step 3

we have

\dfrac{5y^2-6y+1}{-5(y-1)}

Equate -5(y-1) equal to 0.

-5(y-1)=0

Divide by -5 both sides

y-1=0

Adds 1 both sides

y=1

therefore

1 is the non permissible replacement for y.

step 4

we have

\dfrac{y^2-y+6}{-2(y+7)}

Equate -2(y+7) equal to 0.

-2(y+7)=0

Divide by -2 both sides

y+7=0

Subtract 7 both sides

y=-7

therefore

-7 is the non permissible replacement for y

7 0
3 years ago
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