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3 years ago

I have to show if the number is a solution or not. 4 through 9

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

6 0

4: No (2 x 4=8+7=16)
5: Yes (-6 x 5= -30 +10=-20)
6: Yes (27 / 3=9 - 7=2)
7: Yes (5 x 4=20 + -8=12)
8: No ( -16/-4= -4 + 3=-1)
9: Yes (3/4 x 20/1=60/4=15)

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Hey guys<br>im new here<br>please solve this for me with steps!<br>ill mark as the best answer

Vinil7 [7]

Answer:

The factors of $2(x+y)^2-9(x+y)-5$ is ((x+y)-5)(2x+2y+1)

Step-by-step explanation:

Given polynomial

=> $2(x+y)^2-9(x+y)-5$

To Find:

The factors of the polynomial =?

Solution:

Lets assume k = (x+y)

Then $2(x+y)^2-9(x+y)-5$ can be written as $2k^2-9k-5$

Now by using quadratic formula

k = $\frac{-b\pm\sqrt{(b^2-4ac}}{2a}$

where

a= 2

b= -9

c= -5

Substituting the values, we get

k = $\frac{-b\pm\sqrt{(b^2-4ac)}}{2a}$

k = $\frac{-(-9) \pm \sqrt{((-9)^2-4(2)(-5)}}{2(2))}$

k = $\frac{-(-9) \pm \sqrt{(81+40)}}{4}$

k = $\frac{-(-9) \pm \sqrt{(121)}}{4}$

k = $\frac{-(-9) \pm 11}}{4}$

k= $\frac{ 9 \pm 11}{4}$

k = $\frac{20}{4}$ k = $\frac{-2}{4}$

$k_1 =5$ $k_2 = -\frac{1}{2}$

$2k^2-9k-5= 2(k-5)(k+\frac{1}{2})$

Solving the RHS we get

$\frac{2}{2}(k-5)(2k+1)$

$(k-5)(2k+1)$

Substituting k = x+y

$((x+y)-5)(2(x+y+1)$

$((x+y)-5)(2x+2y+1)$

5 0

3 years ago

A leaky faucet in kali's house drips water at a rate of 42 gallons per week. How many gallons does the faucet drip in three days

Ratling [72]

Amount of water that the faucet leaks in 1 week = 42 gallons

That means Amount of water that the faucet in Kali's house leaks in 7 days = 42 gallons So The amount of water that the faucet in Kali's house leaks in 1 day = (42/7) gallons = 6 gallons Then The amount of water that the faucet in Kali's house leaks in 3 days = 6 * 3 gallons = 18 gallons

So it can said from the above deduction that the amount of water leaked by the faucet in Kali's house is 18 gallons.

hope this help .-.

5 0

3 years ago

PLEASE HELP ME WITH THIS

galina1969 [7]

Answer:

i do think it's D or C

Step-by-step explanation:

D or C

6 0

3 years ago

Find the value of x in the triangle shown below

Firdavs [7]

Answer:

dfbsdfbdfbsdf

Step-by-step explanation:

dfbsdfbfhntjtjnygyhyjnyjaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa

7 0

3 years ago

Two types of memberships are available for a theme park:

sergiy2304 [10]

The equation 2v-41=0 can be used to find the number of visits that would make two memberships cost the same amount.

Step-by-step explanation:

Given,

Per month charges of type 1 = $86

Per visit charge = $3

Let,

v be the number of visits.

T(v) = 3v+86

Per month charges of type 2 = $45

Per visit charge = $5

P(v) = 5v+45

For same amount to be charged;

T(v) = P(v)

$3v+86=5v+45\\86-45=5v-3v\\41=2v\\2v-41=0$

The equation 2v-41=0 can be used to find the number of visits that would make two memberships cost the same amount.

8 0

3 years ago