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JulsSmile [24]
3 years ago
9

Y squared + 5y - 84 equals what

Mathematics
1 answer:
iragen [17]3 years ago
7 0

The two possibilities for y are y = -12 and y = 7.

In order to solve this, we first just factor the equation. In order to factor a quadratic like this, we look for factors of the last number (-84) that add up to the middle number (5). In order to find that, we just need to list the factors.

1 * -84

-1 * 84

2 * -42

-2 * 42

3 * -28

-3 * 28

4 * -21

-4 * 21

7 * -12

- 7 * 12

This last factor is the one that adds to 5. Now we stick these two numbers along with y's into parenthesis.

(y - 7)(y + 12)

Now to solve, we can set each parenthesis equal to 0 to solve.

y - 7 = 0

y = 7

y + 12 = 0

y = -12

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Use Pythagorean theorem to find the missing length. (round to tenth if necessary) IS
sertanlavr [38]

11.7

Formula: a^2 + b^2 = c^2

so substitute the numbers like this:

10^2 + 6^2 = c^2

both 10^2 and 6^2 are perfect squares:

10 × 10= 100 and 6 × 6= 36

100 + 36= c^2

add:

100 + 36 =

136 = c^2

now in order to get rid of the squared, you put it into a radical:

√136 = √c^2

note: whatever you do on one side, you do to the other

it's easier to use the calculator for this so put √136 and you're gonna get 11.66

since it's asking you to round it to the nearest tenth:

11.66 = 11.7

sorry if the explanation is kinda long ✋ i tried explaining it better in the end but i failed

7 0
3 years ago
June bought ​ 3 1 2 312 ​ gallons of white paint at $17.50 per gallon and ​ 1 3 4 134 ​gallons of blue paint at $19.00 per gallo
algol [13]
312* 17.5= 5460.00

134*19=2546

2546+5460= $8,006.00
5 0
3 years ago
What's the nearest integer and the nearest tenth
natali 33 [55]

Answer:

nearest integer 27 by 4

8 0
4 years ago
How to do number 6! Anyone I will cash app you
olganol [36]

Answer:

Shawna has 50, 48,46,44 or 42 yellow pencils.

Step-by-step explanation:

Here, given the total number of pencils Shawna has  = 55 pencils

So, The number of YELLOW PENCIL + BLUE PENCIL = 55

or, Y  + B = 55

Now let us take the given cases of blue pencils one by one:

1. If she has 5 blue pencils

Here, B = 5

So, as Y  + B = 55 ⇒    Y +  5  = 55

or, Y = 5 5 - 5  = 50

Hence, Shawna has 50 yellow pencils.

2. If she has 7 blue pencils

Here, B = 7

So, as Y  + B = 55 ⇒    Y +  7  = 55

or, Y = 5 5 - 7  = 48

Hence, Shawna has 48 yellow pencils.

3. If she has 9 blue pencils

Here, B = 9

So, as Y  + B = 55 ⇒    Y +  9  = 55   ⇒  Y  = 55- 9 = 46

Hence, Shawna has 46 yellow pencils.

4. If she has 11 blue pencils

Here, B = 11

So, as Y  + B = 55 ⇒    Y +  11  = 55   ⇒  Y  = 55- 11 = 44

Hence, Shawna has 44 yellow pencils.

5. If she has 13 blue pencils

Here, B = 13

So, as Y  + B = 55 ⇒    Y +  13  = 55   ⇒  Y  = 55- 13 = 42

Hence, Shawna has 42 yellow pencils.

3 0
3 years ago
suppose that a movie rental company supervid charges a $30 subscription fee and $1.5 per movie. lets say that another company me
valina [46]

Answer:

the first on is y=30+1.5x and megawatch is y=100+0.90x

Step-by-step explanation:  

7 0
2 years ago
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