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3 years ago

Can you solve this linear equations x+y=-2, 2x-y=5 they are one problem

2 answers:

5 0

One way is ellimination metahto where we add
add them together
x+y=-2
2x-y=5 +
3x+0y=3
3x=3
divide by 3
x=1
subsitute
x+y=-2
1+y=-2
subtract 1
y=-3

answer
x=1
y=-3
answer is in form (x,y) and is (1,-3)

skad [1K]3 years ago

4 0

We use elimination method.

x+y = -2
2x-y = 5
_______
3x = 3
3x/3 = 3/3
x = 1

As we found the x-value, we now have to find out y-value by substituting the x-value into any equation from the given.

x+y = -2
1+y = -2
-1 -1
y = -3

So, the answer is (1,-3).

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Determine whether the following statement is true or false. Explain. When obtaining a stratified sample, the number of individu

bearhunter [10]

Answer:

B. False. Within stratified samples, the number of individuals sampled from each stratum should be proportional to the size of the strata in the population.

Step-by-step explanation:

In a stratified sample, each stratum should be proportional to that category of the population. This means that each stratum would potentially have a different number of elements in it.

4 0

3 years ago

Five less than the product of 14 and carlos's age

lesya [120]

Is this the full question that is stated?

6 0

3 years ago

Anisha invested $8,000 in an account that earns 10% interest How much money will she have in 15 years of the interest is compoun

tamaranim1 [39]

Answer:

A = $35,198.32

Step-by-step explanation:

Use the formula to calculate compound interest:

A = P(1 + i)ⁿ

"A" for total amount after the time period

"P" for principal, or starting money

"i" for the interest rate in a compounding period

To calculate "i":

i = r / c

"n" for the number of compounding periods

To calculate "n":

n = tc

So, we can combine the formulas into:

$A = P(1+\frac{r}{c})^{tc}$

"c" is the compounding periods in a year. (quarterly = 4)

We know:

P = 8000

r = 10% / 100 = 0.1

t = 15

c = 4

Substitute the information in the formula.

$A = P(1+\frac{r}{c})^{tc}$

$A = 8000(1+\frac{0.1}{4})^{15*4}$ Solve "i" and "n"

$A = 8000(1+0.025)^{60}$ Solve inside the brackets

$A = 8000(1.025)^{60}$ Do the exponent before multiplying by 8000

A = 35198.318 Exact answer

A ≈ 35198.32 Round to two decimal places for money

Therefore she will have $35,198.32 after 15 years.

5 0

3 years ago

Which piecewise function is shown in the graph?

mash [69]

Based on the characteristics of linear and piecewise functions, the piecewise function $f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$ is shown in the graph attached herein. (Correct choice: A)

<h3>How to determine a piecewise function</h3>

In this question we have a graph formed by two different linear functions. Linear functions are polynomials with grade 1 and which are described by the following formula:

y = m · x + b (1)

Where:

x - Independent variable.
y - Dependent variable.
m - Slope
b - Intercept

By direct observation and by applying (1) we have the following piecewise function:

$f(x) = \left \{ {{-0.5\cdot x +1, \,x < 0} \atop {2\cdot x - 2, \,x \ge 0}} \right.$

To learn more on piecewise functions: brainly.com/question/12561612

#SPJ1

3 0

2 years ago

2 2/3 + 12 6/8 how do I work this

barxatty [35]

Answer:

$\large\boxed{2\dfrac{2}{3}+12\dfrac{6}{8}=15\dfrac{5}{12}}$

Step-by-step explanation:

$2\dfrac{2}{3}+12\dfrac{6}{8}=2\dfrac{2}{3}+12\dfrac{6:2}{8:2}=2\dfrac{2}{3}+12\dfrac{3}{4}\\\\\text{Find}\ LCD:\\\\\text{List of multiples of 3:}\ 0,\ 3,\ 6,\ 9,\ \boxed{12},\ 15,\ ...\\\text{List of multiples of 4:}\ 0,\ 4,\ 8,\ \boxed{12},\ 16,\ ...\\\\12=3\cdot4\\\\\text{therefore}\\\\\dfrac{2}{3}=\dfrac{2\cdot4}{3\cdot4}=\dfrac{8}{12}\\\\\dfrac{3}{4}=\dfrac{3\cdot3}{4\cdot3}=\dfrac{9}{12}\\\\2\dfrac{2}{3}+12\dfrac{3}{4}=2\dfrac{8}{12}+12\dfrac{9}{12}=(2+12)+\dfrac{8+9}{12}=14+\dfrac{17}{12}\\\\=14+1\dfrac{5}{12}=15\dfrac{5}{12}$

3 0

4 years ago