1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
nignag [31]
3 years ago
15

. 6x – 3y = 15

Mathematics
1 answer:
yuradex [85]3 years ago
5 0

Answer:

x = 1. y = -3

Step-by-step explanation:

Add the two equations together and notice that all terms containing y will disappear, leaving with

10x = 10 or x = 1

Using this value of x into either one of the equations, you'll get

4(1) + 3y = -5 ---> 3y = -9 or y = -3

You might be interested in
What is the domain and range of the graph below in interval notation? If union is needed, use Capital U. If infinity is needed u
elena55 [62]

Answer:

DOMAIN: (-\infty,1]\cup(2,\infty)

RANGE: (-\infty,\infty)

Step-by-step explanation:

The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.

DOMAIN:

From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.

However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.

So, our domain is all values greater than or less than 1, and all values greater than 2.

In interval notation, this is:

(-\infty,1]\cup(2,\infty)

We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.

RANGE:

Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.

Our range is all real numbers.

In interval notation, this is:

(-\infty,\infty)

5 0
2 years ago
Shawana reduced the size of a rectangle to a height of 2 in. What is the new width of it was originally 24 in. wide and 12 in. t
Bumek [7]

Answer: 4 in. Wide

Step-by-step explanation:

5 0
3 years ago
Sam is 4 feet and 5 inches tall. if sam grows 11 more inches, what will be his new height?
jok3333 [9.3K]
Sam will be 5 foot 4 inches
5 0
2 years ago
Read 2 more answers
The object below was made by placing a cone on top of a cylinder. The base of the cone is congruent to the base of the cylinder.
Ber [7]

Answer:

Part 1) The volume of the object is 32\pi\ cm^{3}  or 100.48\ cm^{3}

Part 2) see the procedure

Step-by-step explanation:

<u><em>The picture of the question in the attached figure</em></u>

Part 1)  What is the volume, in cubic centimeters, of the object?

we know that

The volume of the object is equal to the volume of the cylinder plus the volume of the cone

Find the volume of the cone

The volume of the cone is equal to

V=\frac{1}{3}\pi r^{2} h

we have

r=4/2=2\ cm -----> the radius is half the diameter

h=3\ cm

substitute the values

V=\frac{1}{3}\pi (2^{2})(3)=4\pi\ cm^{3}

Find the volume of the cylinder

The volume of the cylinder is equal to

V=\pi r^{2} h

we have

r=4/2=2\ cm -----> the radius is half the diameter

h=(10-3)=7\ cm

substitute the values

V=\pi (2^{2})(7)=28\pi\ cm^{3}

Part 2) Then explain how you found the volume of the total shape

The volume of the total shape is equal to the volume of the cylinder plus the volume of the cone

4\pi\ cm^{3}+28\pi\ cm^{3}=32\pi\ cm^{3} ------> exact value

Find the approximate value of the volume

assume

\pi=3.14

32(3.14)=100.48\ cm^{3}

7 0
3 years ago
Read 2 more answers
Given the function f(x) = 1/2x-3 and the domain {-4, 4, 10} what is the range of the function?
AlexFokin [52]

<h3><em>This is the range of y , Ry=R−{0}</em></h3>
3 0
3 years ago
Other questions:
  • Which of the following graphs could represent a cubic function?
    11·2 answers
  • The diameter of a circle is 3 what is the circumference ?
    14·2 answers
  • Find the vertex of the following equation. y= -x^2+4x+3
    10·2 answers
  • The line L is perpendicular to line M. M passes through (-3,7) and (2,-9). L passes through the midpoint of M. Find the area of
    8·1 answer
  • Garrett and Carter went to the movies last weekend. Together they bought 2 drinks and 2 popcorns. They spent a total of $12.50.
    12·1 answer
  • 9.
    11·1 answer
  • Tara’s bill at the nail salon came to $36.50, and she wants to leave her technician a 20% tip. What will Tara’s total cost be?
    12·1 answer
  • Aisha types 3/5 of a paragraph in 2/3 minute. If she continues at the same rate, what fraction of a paragraph can Aisha complete
    11·1 answer
  • Julio says that 6, 7, and 12 will make a right triangle but Matt says they will definitely not. Prove who is correct and show an
    14·1 answer
  • How do I draw a 50 degree angle ?
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!