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Pachacha [2.7K]
2 years ago
15

Help how can I Write the given standard equation of the quadratic in intercept form

Mathematics
1 answer:
olya-2409 [2.1K]2 years ago
7 0

Answer:

f(x) = (x - 10) (x + 10)

Step-by-step explanation:

The equation looks like the difference of squares so 5 and 20 are out

-10 x -10 = 100

-10 x 10 = - 100

so (x - 10) (x + 10)

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joanna went school supply shopping she spent $35.98 on notebooks and pencils notebooks cost $2.30 each and pencils cost $1.42 ea
Mumz [18]

Joanna bought 7 notebooks and 14 pencils

Step-by-step explanation:

Step 1 :

Let x denote the number of notebooks and y denote the number of pencils Joanna bought.

Cost of one notebook = $ 2.30

Cost of one pencil = $1.42

Step 2 :

Total of notebooks and pencils bought  = 21

=> x + y = 21 => y = 21-x

Total cost of notebooks and pencils = $35.98

=> 2.3x + 1.42y = 35.98

Substituting y = 21- x here , we have,

2.3x + 1.42 ( 21-x) = 35.98

2.3x + 29.82 - 1.42x = 35.98

0.88 x = 6.16

=> x = 7

y = 21-x = 21-7 = 14

Step 3 :

Answer :

Joanna bought 7 notebooks and 14 pencils

6 0
3 years ago
Mikayla's mom told her she will make her a special dinner if she scores 80% on her
OLga [1]

Answer:

20

Step-by-step explanation:

80% of 25 is 20, even if you put it into a calculator

3 0
3 years ago
the length of a rectangle is 5 less than twice the width.if the perimeter of the rectangle is 146,find the area of the rectangle
raketka [301]

Answer:

The area of the rectangle is 1222 units²

Step-by-step explanation:

The formula of the perimeter of a rectangle is P = 2(L + W), where L is its length and W is its width

The formula of the area of a rectangle is A = L × W

∵ The length of a rectangle is 5 less than twice the width

- Assume that the width of the rectangle is x units and multiply

   x by 2 and subtract 5 from the product to find its length

∴ W = x

∴ L = 2x - 5

- Use the formula of the perimeter above to find its perimeter

∵ P = 2(2x - 5 + x)

∴ P = 2(3x - 5)

- Multiply the bracket by 2

∴ P = 6x - 10

∵ The perimeter of the rectangle is 146 units

∴ P = 146

- Equate the two expression of P

∴ 6x - 10 = 146

- Add 10 to both sides

∴ 6x = 156

- Divide both sides by 6

∴ x = 26

Substitute the value of x in W and L expressions

∴ W = 26 units

∴ L = 2(26) - 5 = 52 - 5

∴ L = 47 units

Now use the formula of the area to find the area of the rectangle

∵ A = 47 × 26

∴ A = 1222 units²

∴ The area of the rectangle is 1222 units²

7 0
3 years ago
I need help please :)
Mice21 [21]

Answer:

Um sorry if its wrong but I think its that it gets bigger as you go on.

Step-by-step explanation:

8 0
3 years ago
What value of x satisfles the equation 4x-2\3=6
Mnenie [13.5K]
If I'm not mistaken, x=1  2/3 or 1.66
7 0
3 years ago
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