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Georgia [21]
3 years ago
5

What this answer 954328- 864597

Mathematics
2 answers:
balu736 [363]3 years ago
8 0

Answer:

Answer is 89,731

Step-by-step explanation:

I hope it's helpful!

Romashka [77]3 years ago
7 0

Answer:

89731

Step-by-step explanation:

954328 - 864597

= 89731

Hope this helps :)

Let me know if there is any mistake!!

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(a) A random sample of 10 houses in a particular area, each of which is heated with natural gas, is selected and the amount of g
rewona [7]

Answer:

In average, houses in the particular area use 119,6 therms of gas during the month of January.

Step-by-step explanation:

The μ formula is:

μ= ΣXi/N

ΣXi= is the sum of each xi. xi is each observation in the sample.

N= Total number of observations.

For this case:

ΣXi= 125+103+118+ 109+ 122+ 82+ 99+ 138+ 151+ 149

ΣXi= 1196

N= 10

μ= 1196/10

μ= 119,6

In average, houses in the particular area use 119,6 therms of gas during the month of January.

5 0
4 years ago
Find all solutions to x³+3x² − 9x − 27 = 0 by factoring the equation.
SCORPION-xisa [38]

Answer:

The solutions are x=-3,\:x=3

Step-by-step explanation:

To factor this cubic polynomial x^3+3x^2-9x-27 you must:

  • Group the polynomial into two sections

x^3+3x^2-9x-27=\left(x^3+3x^2\right)+\left(-9x-27\right)

  • Factor out -9 from (-9x-27)

(-9x-27)=-9\left(x+3\right)

  • Factor out x^2 from (x^3+3x^2)

(x^3+3x^2)=x^2\left(x+3\right)

x^3+3x^2-9x-27=-9\left(x+3\right)+x^2\left(x+3\right)

  • Factor out common term x+3

-9\left(x+3\right)+x^2\left(x+3\right)=\left(x+3\right)\left(x^2-9\right)

x^3+3x^2-9x-27=\left(x+3\right)\left(x^2-9\right)

  • Factor x^2-9

x^2-9=\left(x+3\right)\left(x-3\right)

x^3+3x^2-9x-27= \left(x+3\right)\left(x+3\right)\left(x-3\right)

x^3+3x^2-9x-27=\left(x+3\right)^2\left(x-3\right)=0

  • Using the Zero Factor Theorem: = 0 if and only if = 0 or = 0

x+3=0, \quad{x=-3}\\x-3=0, \quad{x=3}

The solutions are

x=-3,\:x=3

3 0
3 years ago
Lee sells electronics. He earns a 5% commission on each sale he makes.
NISA [10]

Answer:

a) c = (5/100)*d

b) c = 0.05*d

c) The ratio between what Lee recieves and what he sold.

d) d = 2000

Step-by-step explanation:

Since Lee earns 5% in commission for each sale then:

a) c = (5/100)*d

b) c = 0.05*d

c) In this context the constant of proportionality means the ratio of the value Lee sold that he'll earn as a comission.

d) Since he wants to earn $100, then c = 100 and we solve for d

c = 0.05*d

100 = 0.05*d

0.05*d = 100

d = 100/0.05 = $2000

He needs to sell $2000.

3 0
4 years ago
Brandon is shopping at Old Navy during a sale. All shorts are $16 each and all t-shirts are $10 each.He has $100 to spend and wo
DaniilM [7]
Let
x = the number of shorts bought
y =  the number of t-shirts bought

A pair of shorts costs $16 and a t-shirt costs $10. Brandom has $100 to spend.
Therefore
16x + 10y ≤ 100
This may be written as
y ≤ - 1.6x + 10                 (1)

Brandon wants at least 2 pairs of shorts. Therefore
x ≥ 2                               (2)

Graph the equations y = -1.6x + 10 and  x = 2.
The shaded region satisfies both inequalities.

Answer:
Two possible solutions are
(a) 3 pairs of shorts and 4 t-shirts,
(b) 4 pairs of shorts and 2 t-shirts.

7 0
3 years ago
F(x)=2x^2-3x+7 evaluate f(-2)
Vilka [71]

Answer:

Step-by-step explanation:

Find two linear functions p(x) and q(x) such that (p (f(q(x)))) (x) = x^2 for any x is a member of R?

Let  p(x)=kpx+dp  and  q(x)=kqx+dq  than

f(q(x))=−2(kqx+dq)2+3(kqx+dq)−7=−2(kqx)2−4kqx−2d2q+3kqx+3dq−7=−2(kqx)2−kqx−2d2q+3dq−7  

p(f(q(x))=−2kp(kqx)2−kpkqx−2kpd2p+3kpdq−7  

(p(f(q(x)))(x)=−2kpk2qx3−kpkqx2−x(2kpd2p−3kpdq+7)  

So you want:

−2kpk2q=0  

and

kpkq=−1  

and

2kpd2p−3kpdq+7=0  

Now I amfraid this doesn’t work as  −2kpk2q=0  that either  kp  or  kq  is zero but than their product can’t be anything but  0  not  −1 .

Answer: there are no such linear functions.

6 0
3 years ago
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