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insens350 [35]
3 years ago
11

If f(x)=x^2, wich of the following describes the grap of f(x)-5?​

Mathematics
1 answer:
iogann1982 [59]3 years ago
4 0

Answer:

x² - 5

Step-by-step explanation:

Given f(x) then f(x) - 5 represents a vertical translation, parallel to the y- axis.

f(x) + c

If c > 0 then shift vertically up of c units

If c < 0 then shift vertically down of c units

here c = - 5, hence

x² - 5 represents the graph

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Define what congruent means?
kati45 [8]

Answer:

identical in form or shape

Step-by-step explanation:

two triangles could be congruent as they both have 3 sides.

5 0
3 years ago
Can someone help me with this<br> 2x+4y+3z=6<br> x-2y+z=-5<br> -x-3y-2z=-7<br> solve for x,y,z
Flauer [41]

Answer:

x = -7 2/3, y = 1 1/3 and z = 5 1/3.

Step-by-step explanation:

2x+4y+3z=6    .....  1

x-2y+z=-5        ...... 2

-x-3y-2z=-7      .......3

Add equations 2 and 3 to eliminate x:

-5y - z = -12   .....4

Multiply equation 2 by - 2:

-2x + 4y  - 2z = 10

Add this to equation 1:

8y + z = 16   ........ 5

Now add equation 4 to equation 5:

3y = 4

y = 4/3 = 1 1/3.

Now find z by substituting for y in equation 4:

-5(4/3) - z = -12

z = 12 - 20/3

z = 36/3 - 20/3 = 16/3 = 5 1/3.

Finally, we find x by substituting for y and z in equation 1:

2x + 4*4/3 + 3*16/3 = 6

2x = 6 - 16/3 - 16

2x =  18/3 - 16/3 - 48/3 = -46/3

x = 23/3 =  7 2/3.

3 0
3 years ago
Create a word problem that could be solved using the expression (−12) + (32) + (−16). Also, show the solution.
SCORPION-xisa [38]

Answer:

Joe is at Walmart shopping for Pokemon cards. His mother gave him $32 dollars to buy any toys he wants. He plans to spend $16 to buy booster packs and $12 for barbies for his sister. How much money does he have left?

Step-by-step explanation:

Solution: 32-12-16=4

Joe has $4 left.

4 0
3 years ago
A garden store bought a fountain at a cost of $995.66 and marked it up 100%. Later on, the store marked it down 25%. What was th
Naya [18.7K]

Answer:

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Sherman has two sequences . The first sequence is described by the explicit rule f(n) = 15n + 4 and the second sequence is descr
Viktor [21]

Answer:

Step-by-step explanation:

Given the explicit function as

f(n) = 15n+4

The first term of the sequence is at when n= 1

f(1) = 15(1)+4

f(1) = 19

a = 19

Common difference d = f(2)-f(1)

f(2) = 15(2)+4

f(2) = 34

d = 34-19

d = 15

Sum of nth term of an AP = n/2{2a+(n-1)d}

S20 = 20/2{2(19)+(20-1)15)

S20 = 10(38+19(15))

S20 = 10(38+285)

S20 = 10(323)

S20 = 3230.

Sum of the 20th term is 3230

For the explicit function

f(n) = 4n+15

f(1) = 4(1)+15

f(1) = 19

a = 19

Common difference d = f(2)-f(1)

f(2) = 4(2)+15

f(2) = 23

d = 23-19

d = 4

Sum of nth term of an AP = n/2{2a+(n-1)d}

S20 = 20/2{2(19)+(20-1)4)

S20 = 10(38+19(4))

S20 = 10(38+76)

S20 = 10(114)

S20 = 1140

Sum of the 20th terms is 1140

7 0
2 years ago
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