Problem:
Solve
2
x
+
5
y
=
−
3
;
3
x
−
y
=
21
Steps:
I will try to solve your system of equations.
3
x
−
y
=
21
;
2
x
+
5
y
=
−
3
Step: Solve
3
x
−
y
=
21
for y:
3
x
−
y
+
−
3
x
=
21
+
−
3
x
(Add -3x to both sides)
−
y
=
−
3
x
+
21
−
y
−
1
=
−
3
x
+
21
−
1
(Divide both sides by -1)
y
=
3
x
−
21
Step: Substitute
3
x
−
21
for
y
in
2
x
+
5
y
=
−
3
:
2
x
+
5
y
=
−
3
2
x
+
5
(
3
x
−
21
)
=
−
3
17
x
−
105
=
−
3
(Simplify both sides of the equation)
17
x
−
105
+
105
=
−
3
+
105
(Add 105 to both sides)
17
x
=
102
17
x
17
=
102
17
(Divide both sides by 17)
x
=
6
Step: Substitute
6
for
x
in
y
=
3
x
−
21
:
y
=
3
x
−
21
y
=
(
3
)
(
6
)
−
21
y
=
−
3
(Simplify both sides of the equation)
Answer:
y
=
−
3
and
x
=
6
<span>2(x+4)^2 - (3y+5)^3
at x=-3 and y=-1
2(-3+4)^2 - ((3*-1)+5)^3
2 (1)^2 - (2)^3
2 - 8
(-6)</span>
Answer: Inferential.
It is inferential because the survey takes its conclusion(inference) from a sample of the country's population and generalized it on the entire population.
If the results of a survey were claimed to indicate that 7.8% of adults in this country who own digital cameras plan to replace their cameras in the next 12 months. would you say this statement is descriptive or inferential, why?
Step-by-step explanation:
It is inferential because the survey takes its conclusion(inference) from a sample of the country's population and generalized it on the entire population. this claim requires an inference to the population. For example, you might stand in a mall and ask a sample of 200 people if they like shopping at ShopRite. You could make a bar chart of yes or no answers (that would be descriptive statistics) or you could use your research (and inferential statistics) to reason that around 50-75% of the population (all shoppers in malls) like shopping at ShopRite.
Answer:
The formula for the volume of a prism is V=Bh , where B is the base area and h is the height.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Given
sinΘ = 
= 
Then the hypotenuse = 5 and one leg of the right triangle is 3
Using Pythagoras' identity to find the second leg (x)
x² + 3² = 5²
x² + 9 = 25 ( subtract 9 from both sides )
x² = 16 ⇒ x = 4
cosΘ = 
=
