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3 years ago

Solve the system of linear equations using elimination.

Mathematics

1 answer:

Lunna [17]3 years ago

4 0

Answer: A

Step-by-step explanation:

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7nadin3 [17]

Step-by-step explanation:

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3 years ago

At Budget, a rental car costs $103 and every kilometre costs $18. At Avis, a rental car costs $164 and every kilometre costs $13

irakobra [83]

Answer:Rental includes 150 free miles. A $0.10 per mile charge will be applied for each additional mile driven.

4 0

3 years ago

The parent function f(x) = log3x has been transformed by reflecting it over the x-axis, stretching it vertically by a factor of

artcher [175]

Answer:

Third option.

Step-by-step explanation:

Some transformations for a function f(x), are:

If $f(x)+k$ , the function is shifted down "k" units.

If $f(x)-k$ , the function is shifted up "k" units.

If $bf(x)$ , and $b>1$ , the functio is stretch vertically by a factor of "b".

If $-f(x)$ , the function is reflected over the x-axis.

Therefore, knowing that the parent function $f(x) = log_3(x)$ was transformated by reflecting it over the x-axis, stretching vertically by a factor of 2 and shifting it down 3 units, we can determine that the following function represents the transformation:

$f(x) = -2log_3(x)-3$

3 0

3 years ago

The difference of two complementary angles is 30 degrees. Find the measures of the angles.

oee [108]

Answer:

60 degrees and 30 degrees

Step-by-step explanation:

let the angles be x and y

we are given that the angles are complementary (i.e they sum up to 90 degrees). Hence we can write the first equation:

x + y = 90 ------(eq 1)

we are also given that the difference between the two angles is 30 degrees). Similarly we can write

x - y = 30 ------(eq 2)

now we have a system of 2 equations with 2 unknowns, which we can solve by elimination:

eq 1 + eq 2:

(x + y) + (x - y) = 90 + 30

2x = 120 (divide both sides by 2)

x = 120/2

x = 60 deg (substitute this back into eq 1)

x + y = 90

60 + y = 90 (subtract 60 from both sides)

y = 90 - 60

y = 30 deg.

4 0

3 years ago

Find compound amount annually of p=4000,time=3/2 and rate =10% solve it step wise.

Natalka [10]

Step-by-step explanation:

Hey, there!!

Principal (p) = 4000

Time = 3/2= 1.5 yrs.

rate = 10%

Now, we have formula,

$c.a = p \times {(1 + \frac{r}{100}) }^{t}$

Putting their values,

$ca = 4000\times {(1 + \frac{10}{100} )}^{1.5}$

$ca =4000 \times {(1 + 0.1)}^{1.5}$

$ca = 4000 \times 1.153689$

Simplifying them we get,

C.A = 4614.75

Hope it helps...

4 0

3 years ago