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4 years ago

Can you solve the system of equation using substitution y=x+8 X+y=2

1 answer:

8 0

X + y = 2
Substitute x + 8 into y
x + x + 8 = 2
2x + 8 =2
(Subtract 8 from both sides)
2x = -6
(Divide both sides by 2)
x = -3

Subsitute x = -3 into either equation to find y
x + y = 2
-3 + y = 2
(Add 3 to both sides)
y = 2 + 3
y = 5

Or y can be solved for using:
y = x + 8
y = -3 + 8
y = 5

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What is the sum of the arithmetic series

docker41 [41]

Answer:

$S_ {12} = 192$

Step-by-step explanation:

The nth term of the given arithmetic sequence is

$U_n = 3 + 2n$

The first term of this series is:

$U_1 = 3 + 2(1) = 5$

The last term of this series is when

$n = 12$

$U_ {12}= 3 + 2(12)$

$U_ {12}= 3 + 24 = 27$

The sum of the first n terms of an arithmetic series when the first an last term is known is given by:

$S_n = \frac{n}{2}(a + l)$

Where a=5 is the first term and l=27 is the last term.

$S_ {12} = \frac{12}{2}(5 + 27)$

$S_ {12} =6(32) =19 2$

6 0

3 years ago

Are there 4 feet in a yard ?

AysviL [449]

No there are 3 feet in a yard

5 0

3 years ago

Read 2 more answers

PLZ HELP ME ITS DUE BY TONIGHT AND I WILL FAIL IF ITS NOT FINISHED!! I NEED HELP WITH 5

mars1129 [50]

Answer:

3. 25

4. 22,31,46

5. One reason beth might not want to join is because she would be the oldest person in the club. according to the stem and leaf chart the oldest person currently in the class is 55 and the next few down are all in their 40s.

Step-by-step explanation:

question 3 is 25 because the median is the middle number, which in this case is 25. question 4 you got correct but there are multiple modes for this set of data being 22,31,46 because all of these numbers tie with 2 of them being repeated throughout the table. question 5 just shows that beth would be the oldest in the club by a marginal number too so that is why beth might not want to join the club.

6 0

3 years ago

Read 2 more answers

john is looking at a map with a scale of 1/4 inch=20 miles. he measured the distance from his home to the bowling alley in town

Sergio039 [100]

1 inch=80mi

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3 years ago

I am having trouble with this could somebody give me a hand

MrRa [10]

check the picture below.

$\bf \textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+100}t\stackrel{\stackrel{c}{\downarrow }}{+12} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)$

$\bf \left( -\cfrac{100}{2(-16)}~~,~~12-\cfrac{100^2}{4(-16)} \right)\implies \left( \cfrac{25}{8}~~,~~12+\cfrac{625}{4}\right) \\\\\\ \left(\cfrac{25}{8}~,~\cfrac{673}{4} \right)\implies \left(\stackrel{\stackrel{\textit{took this long}}{\downarrow }}{3\frac{1}{8}}~~,~~\stackrel{\stackrel{\textit{went this high}}{\downarrow }}{168\frac{1}{4}} \right)$

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3 years ago