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2 years ago

Solve this system of equations using the substitution methody=x+7-2x-11=y

Mathematics

1 answer:

ryzh [129]2 years ago

3 0

Answer:

x=-6, y=1

Step-by-step explanation:

Let's solve your system by substitution.

y=x+7;−2x−11=y

Step: Solve y=x+7 for y:

y=x+7

Step: Substitute x+7 for y in −2x−11=y:

−2x−11=y

−2x−11=x+7

−2x−11+−x=x+7+−x(Add -x to both sides)

−3x−11=7

−3x−11+11=7+11(Add 11 to both sides)

−3x=18

−3x/ −3 = 18/ −3 (Divide both sides by -3)

x=−6

Step: Substitute−6 for x in y=x+7:

y=x+7

y=−6+7

y=1 (Simplify both sides of the equation)

Answer:

x=−6 and y=1

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Need answer to 4 and 5

algol13

Answer:

Substitute n =1, 2, 3, 4, 5 to get the first five terms.

Step-by-step explanation:

(4). $g_n = 2 . 3^{n - 1}$

To find the first term, substitute n = 1.

Therefore, $g_1 = 2 . 3^{1 - 1} = 2 . 3^{0} = 2 . 1$ = 2

$g_2 = 2 . 3^{2 - 1} = 2 . 3$ = 6

$g_3 = 2 . 3^{3 - 1} = 2 . 3^{2} = 2 . 9$ = 18

$g_4 = 2 . 3^{4 - 1} = 2 . 3^{3} = 2 . 27$ = 54

$g_5 = 2 . 3^{5 - 1} = 2 . 3^{4} = 2 . 81$ = 168

Therefore the first five terms of the sequence are: 2, 6, 18, 54, 168.

(5). $t_n = \frac{2}{3}t_{n - 1}$

$t_2 = \frac{2}{3} t_{2 - 1} = \frac{2}{3}t_1 = \frac{2}{3}6$ = 4

$t_3 = \frac{2}{3} t_2 = \frac{2}{3}. 4 = \frac{8}{3}$

$t_4 = \frac{2}{3}t_3 = \frac{2}{3}\frac{8}{3} = \frac{16}{9}$

$t_5 = \frac{2}{3}t_4 = \frac{2}{3}\frac{16}{9} = \frac{32}{27}$

Therefore the first five terms in the sequence are: 6, 4, 8/3, 16/9, 32/27.

8 0

3 years ago

Apple cost $3.60 for 2lb. at that rate how many pounds of apples can you buy for $5.40

Hoochie [10]

Your answer is 3 lb.

6 0

2 years ago

Read 2 more answers

In parallelogram EFGH, the measure of angle G is (4x + 16)° and the measure of angle H is (2x − 16)°. What is the measure of ang

asambeis [7]

Answer:

m∠H = 44°

Step-by-step explanation:

Consecutive angles of a parallelogram are supplementary. So,

∠H and ∠G are supplementary

4x + 16 + 2x - 16 = 180

6x = 180

x = 30

m∠H = 2x - 16 = 2(30) - 16 = 60 - 16 = 44°

4 0

2 years ago

What is 33<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D" id="TexFormula1" title="\frac{1}{3}" alt="\frac{1}{3}" align=

aleksklad [387]

Answer:

33.3 Repeating

Step-by-step explanation:

1. You already know that 33 is the whole number so you have 33.

2. 1/3 is converted to .3333333 so you put 33 before the decimal point

3. You get 33.3333333

Hope this helps :)

8 0

2 years ago

Kasey has a job that pays $865 per week. How much is

gladu [14]

Answer:

$53.63

Step-by-step explanation:

The social security deduction is withheld at a standard rate of 6.2 percent.

If Kasey has a job that pays $865 per week.

The the amount withheld from each paycheck for social security can be calculated as:

= $865 × 6.2/100

= $865 × 0.062

= $53.63

5 0

3 years ago

Solve this system of equations using the substitution methody=x+7-2x-11=y​

Solve this system of equations using the substitution methody=x+7-2x-11=y