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Triss [41]
3 years ago
10

Determine the solution to f(x) = g(x) using the following system of equations: (5 points) f(x) = 3x − 23 g(x) = −4.5x + 7

Mathematics
1 answer:
jeka943 years ago
5 0

Answer:

(The solution is (4, -11).

Step-by-stp explanation:

Let f(x) = g(x) = y:

y = 3x − 23

y = -4.5x + 7     Subtract the second equation from the first to eliminate y:

0 = 7.5x - 30

7.5x = 30

x = 4

Plug this into the first equation:

y = 3(4) - 23

y =  -11.

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Which three-dimensional object has the same shape for parallel, perpendicular, and diagonal cross sections?
GuDViN [60]
This answer would be a cuboid because it has parallel,perpendicular,and diagonal cross sections
3 0
3 years ago
What is the domain and range of this function?<br> I’ll put Brainliest! :)
tatuchka [14]

Answer:

Step-by-step explanation:

The Domain of a function is the x value, and the Range of a function is the y value. For example, in the ordered pair (9,4) the Domain is 9, or the x value, and the Range is 4, or the y value. So to find the Domain and Range, write ordered pairs for each plotted point on your graph (the dot at the end of each line) and then go through and identify the Domain and Range from there. When you list them, write the numbers in numeric order from least to greatest. Hope this helps!

5 0
2 years ago
What is the equation of a line that has an x-intercept of 5 and a slope of 4?
dimulka [17.4K]

Answer:

y=4x-20

Explanation:

Since we already have a slope, all we need to do is just find the y-intercept. To do this we can make an XY t-chart.

Using the chart we can see that for every x that decreases, a y decreases 4 times. So if we subtract 5 from x, we will multiply 5 times y. Note that this graph is increasing so the y-intercept is negative. -5 · 4 = -20

   X  |  Y

   6  |  4

   5  |  0  

   0  |  -20

Hope this Helps!

8 0
2 years ago
Find the volume and surface area of the composite figure. Give your answer in terms of pi
ExtremeBDS [4]

Given:

A diagram of a composite figure.

Radius of cone and hemisphere is 8 cm.

Height of the cone is 15 cm.

To find:

The volume and the surface area of the composite figure.

Solution:

Volume of a cone is:

V_1=\dfrac{1}{3}\pi r^2h

Where, r is the radius and h is the height of the cone.

Putting r=8,h=15 in the above formula, we get

V_1=\dfrac{1}{3}\pi (8)^2(15)

V_1=\pi (64)(5)

V_1=320\pi

Volume of the hemisphere is:

V_2=\dfrac{2}{3}\pi r^3

Where, r is the radius.

Putting r=8, we get

V_2=\dfrac{2}{3}\pi (8)^3

V_2=\dfrac{1024}{3}\pi

V_2\approx 341.3\pi

Now, the volume of the composite figure is:

V=V_1+V_2

V=320\pi +341.3\pi

V=661.3\pi

The volume of the composite figure is 661.3π cm³.

The curved surface area of a cone is:

A_1=\pi r\sqrt{h^2+r^2}

Where, r is the radius and h is the height of the cone.

Putting r=8,h=15 in the above formula, we get

A_1=\pi (8)\sqrt{(15)^2+(8)^2}

A_1=\pi (8)\sqrt{289}

A_1=\pi (8)(17)

A_1=136 \pi

The curved surface area of the hemisphere is:

A_2=2\pi r^2

Where, r is the radius.

Putting r=8, we get

A_2=2\pi (8)^2

A_2=2\pi (64)

A_2=128\pi

Total surface area of the composite figure is:

A=A_1+A_2

A=136\pi +128\pi

A=264\pi

The total surface area of the composite figure is 264π cm².

Therefore, the correct option is A.

8 0
2 years ago
4x2 + 5x - 3x2 + 2y - 3x + 2y?
klio [65]
Answer is 2+2x+4y
Have a great day/night
8 0
3 years ago
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