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2 years ago

Consider the graph of the linear function h(x) = –x + 5. Which could you change to move the graph down 3 units?

Mathematics

2 answers:

KATRIN_1 [288]2 years ago

8 0

The +5 because that's the y value on the graph

lesantik [10]2 years ago

4 0

The +5 is the Y value

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Beth wants to make exactly 60 blueberry muffins. Each batch makes 6 muffins, She has already made 2.5 batches. How many more bat

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Answer: 4.5

You need that many more batches

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2 years ago

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Need help asap. Consider the diagram.

fgiga [73]

ANSWER

alternate interior angles theorem

EXPLANATION

According to the alternate interior angles theorem, when two parallel lines are are intercepted by a straight line (transversal) the angles in the interior corners of a Z-shape pattern are congruent.

From the above diagram line r is parallel to line s, therefore

$\angle \: 3 \cong \angle6$

and

$\angle \: 4\cong \angle5$

because they are alternate interior angles.

See attachment for how to spot alternate interior angles.

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1 year ago

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Billy Jo's school is selling tickets to a Fall Festival. On the first day of ticket sales the school sold 3 adult ticket and 8 s

denis23 [38]

Answer:

Y = 6

Step-by-step explanation:

On the first day of ticket sales the school sold 3 adult ticket and 8 student tickets for a total of $72. The school took in $152 on the second day by selling 7 adult tickets and 16 student tickets. How much is a student ticket?

Day 1: 3x + 7y = 72

Day 2: 7x + 16y = 152

This becomes a system of equations.

3x+8y=72

3x+8y+−8y=72+−8y (Add -8y to both sides)

3x=−8y+72

3x/3 = −(8y+72)/3

X = (-8/3) y + 24

Substitute (-8/3) y + 24 for x in7x+16y=152:

7(-8/3 y + 24) + 16y = 152

-8/3 y + 168 = 152 (Simplify both sides of the equation)

-8/3 y + 168 − 168 = 152 + (−168) (Add -168 to both sides)

-8/3 y = -16

(-8/3 y)/(-8/3 y) = -16/ -8/3 y (Divide both sides by (-8)/3)

y = 6

If you wanted to keep going...

Substitute 6f or y in x = (-8/3) y + 24

(-8/3) y + 24 = (-8/3) (6) + 24

SImplify: x = 8

X = 8 and Y = 6

Hope this helps! ♥

~A.W.E.S.W.A.N~

6 0

2 years ago

After learning the midpoint construction Sally realizes that she could determine one fourth the length of a segment how could sh

Viefleur [7K]

The midpoint of two points is the point which divides the line segment joining the two points into two equal parts.

Suppose, we have a line segment AB with a point C, between point A and point B such that the distance AC is equal to the distance CB, then we say that point C is the midpoint of line AB.

Suppose, we have another point D between point A and point C, such that the distance AD is equal to the distance DC, then we say that point D is the midpoint of AC.

Notice that point D is a fourth of line segment AB.

Thus, AD is one fourth the length of segment AB.

Therefore, one fourth the length of a segment can be obtained by evaluating the midpoint of the midpoint of the line segment.

7 0

2 years ago

The fish population in a pond with carrying capacity 1200 is modeled by the following logistic equation where N(t) denotes the n

MArishka [77]

9514 1404 393

Answer:

(dN)/(dt) = (0.4)/(1200)N(1200-N) -50

142 fish

Step-by-step explanation:

A) The differential equation is modified by adding a -50 fish per year constant term:

(dN)/(dt) = (0.4)/(1200)N(1200-N) -50

B) The steady-state value of the fish population will be when N reaches the value that makes dN/dt = 0.

(0.4/1200)(N)(1200-N) -50 = 0

N(N-1200) = -(50)(1200)/0.4) . . . . rewrite so N^2 has a positive coefficient

N^2 -1200N + 600^2 = -150,000 +600^2 . . . . complete the square

(N -600)^2 = 210,000 . . . . . simplify

N = 600 + √210,000 ≈ 1058

This steady-state number of fish is ...

1200 - 1058 = 142 . . . . below the original carrying capacity

8 0

1 year ago