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3 years ago

If h(x)=4x^2-16 we’re shifted 7 units to the right and 3 units down what would the new equation be

Mathematics

1 answer:

attashe74 [19]3 years ago

6 0

Answer:

4(x-7)^2 - 19

Step-by-step explanation:

Shifting 7 units to the right: 4(x-7)^2 - 16.

3 units down: 4(x-7)^2 - 16 - 3, or 4(x-7)^2 - 19

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3. Two balls are drawn in succession without replacement from an urn containing 4 red balls and 3 blue balls. Find the probabili

choli [55]

Answer:

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

Step-by-step explanation:

Given that :

Number of red balls = 4

Number of Blue balls = 3

Total number of balls = (4 + 3) = 7

Picking without replacement :

Number of picks = 2

1st pick is red :

Probability = (required outcome / Total possible outcomes)

USing combination formula :

nCr = n! / (n-r)! r!

Total possible outcome :

7C2 = 7! / 5!2! = 7*6 / 2 = 42 / 2 = 21

X = number of red

For red = 0;

P(x =0) = required outcome / Total possible outcomes

P(x = 0)

Required outcome : [4C0 * 3C2)]

P(x = 0) = [(4C0 * 3C2)] / 21 = (1*3)/21 = 3/21 = 1/7

P(x = 1)

Required outcome : [4C1 * 3C1)]

P(x = 1) = [(4C1 * 3C1)] / 21 = (4*3)/21 = 12/21 = 4/7

P(x = 2)

Required outcome : [4C2 * 3C0)]

P(x = 2) = [(4C2 * 3C0)] / 21 = (6*1)/21 = 6/21 = 2/7

Hence ;

X ____ 0 ______ 1 _______ 2

P(x) __ 1/7 _____ 4/7 _____ 2/7

8 0

3 years ago

Which expression is equivalent to 2(x+7)-18+4/5 ?

Vadim26 [7]

Answer:

4.7/5

Step-by-step explanation:

7 0

3 years ago

Jessie graphed one of the lines in a system of equations: Y=3x-2 If the system has an infinite number of solutions, which statem

katen-ka-za [31]

Answer:

2, 4, and 5

Step-by-step explanation:

There are three states that a system of linear equations can be in. Intersecting, parallel, and overlapping. Intersecting results in one solution, parallel results in none, and overlapping makes all solutions that are on the line correct. The question says that there are infinite solutions, so it must be overlapping. We can immediately rule out the first one because only points that lie on the line can be solutions. Since we know that the system has all of the solutions shown, 2 has to be true. 3 is the same idea. When you plug the x value (20) into the equation, you get the y value (58) meaning that it must be true. 5 is stated above.

5 0

3 years ago

Read 2 more answers

Find the measure of angel 3

Elena-2011 [213]

Answer:

100

Step-by-step explanation:

Remark

If two opposite arcs are given by being opposite vertically opposite angles, then the value of both the vertically opposite angles are equal to

Vertically opposite angle = 1/2 (arc1 + arc2)

Givens