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siniylev [52]
3 years ago
6

What is (x+3) (x-7)?

Mathematics
2 answers:
Mariana [72]3 years ago
6 0

Answer:

We can use FOIL to solve this:

F - First

O - Outer

I - Inner

L - Last

= (x \times x)+(x \times  - 7)+(3 \times x)+(3 \times  - 7)

= {x}^{2}  + - 7x + 3x - 21

= {x}^{2}  - 4x - 21

Butoxors [25]3 years ago
6 0

Answer:

x^2-4x-21

Step-by-step explanation:

\left(x+3\right)\left(x-7\right)

<u>Apply FOIL method:-</u>

<u />\left(a+b\right)\left(c+d\right)=ac+ad+bc+bd

\left(x+3\right)\left(x-7\right)

xx+x\left(-7\right)+3x+3\left(-7\right)

=x^2-4x-21

<u>OAmalOHopeO</u>

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A painting is 16 in wide and 8 in tall if it is reduced to a height of 2 in then how wide will it be
allochka39001 [22]

Answer: 4 in. wide

Step-by-step explanation: to get from 8 to 2, you divide by 4.

if you divide 16 by 4, the answer is 4

7 0
4 years ago
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Max packs cereal boxes into a larger box. The volume of each cereal box is 175 cubic inches. What is the approximate volume of t
Natali [406]
The complete question in the attached figure

we know that

in the larger box there are----------> 2*3*4-----> 24 cereal boxes
then

if  1 cereal boxes is---------------> 175 in³
24 cereal boxes----------------> X
X=24*175-------> x=4200 in³

the answer is
<span>the approximate volume of the larger box is 4200 in</span>³

3 0
3 years ago
There are 15 apples, 13 oranges and 12 bananas in a large box. Without looking, Tim chooses one fruit puts it on a table, and th
neonofarm [45]

Answer:

I don’t know the answer choices but there is a high probability of him choosing an apple first

Step-by-step explanation:

It is because there are more in the box, there is also a high probability of him choosing an orange next but it will not be a pattern. Sorry if I’m wrong :(

3 0
3 years ago
Solve the following equation simultaneously 2a-3b+10=0, 10a+6b=8​
tia_tia [17]

2a -3b +10 =0\\\\10a+ 6b -8 =0\\\\\text{Using cross multiplication method}\\\\\\ \dfrac a{(-3)(-8)  - 6(10)} = \dfrac b{10(10) - 2(-8)} = \dfrac 1{ 2(6) - (-3)(10)}\\\\\\\implies  \dfrac a{24-60} = \dfrac b{100+16} = \dfrac 1{12+30}\\\\\\\\\implies -\dfrac {a}{36} = \dfrac b{116} = \dfrac 1{42}\\\\\\\text{Hence}\\\\a = - \dfrac{36}{42} = -\dfrac 67 \\\\\\ b= \dfrac{116}{42} = \dfrac{58}{21}

3 0
3 years ago
Find the sum of 14 + 8 + 2+ ... + ( 274) + (-280).
Musya8 [376]

The sum of the given sequence is -6384.

<u>Step-by-step explanation:</u>

The given Arithmetic sequence is 14 + 8 + 2+ ... + ( 274) + (-280).

  • The first term of the sequence = 14
  • The last term of the sequence = -280
  • The common difference ⇒ 14 - 8 = 6

<u>To find the number of terms in the sequence :</u>

The formula used is n = (\frac{a_{n}-a_{1}} {d})+1

where,

  • n is the number of terms.
  • a_{n} is the late term which is -280.
  • a_{1} is the first term which is 14.
  • d is the common difference which is 6.

Therefore, n =(\frac{-280-14}{6}) +1

⇒ n =( \frac{-294}{6}) + 1

⇒ n = -49 + 1

⇒ n = -48

⇒ n = 48, since n cannot be negative.

∴ The number of terms, n = 48.

<u>To find the sum of the arithmetic progression :</u>

The formula used is S = \frac{n}{2}(a_{1} + a_{n} )

where,

  • S is the sum of the sequence.
  • a_{1} is the first term which is 14.
  • a_{n} is the late term which is -280.

Therefore, S = \frac{48}{2}(14+ (-280))

⇒ S = \frac{48}{2}(-266)

⇒ S = 48 \times -133

⇒ S = -6384

∴ The sum of the given sequence is -6384.

3 0
3 years ago
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