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LenKa [72]
2 years ago
9

1. The curve y = (x - 1)(x – 5) cuts the x-axis at A and B and the y-axis at C.

Mathematics
1 answer:
saveliy_v [14]2 years ago
3 0
So the first two questions are asking for points of intercept. a is asking where the function crosses the x, in this case it is where y=0. So your x intercept is at x= 1,5. Then to find the y intercept it is where x=0, so just substitute 0 for x. Then you get your y intercept as y=5. Because your coefficient for the quadratic function is positive your function has a minimum since it opens upward. I’m not sure what is means by C coordinate, but your vertex is at (3,-4) and lime of symmetry is at x=3.

X intercepts: (1,0) and (5,0)
Y intercept: (0,5)

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How is — 6n + 5 < 11 shown in a graph
anyanavicka [17]

Answer:

Option C

Step-by-step explanation:

Solve the inequality like an equation using inverse operations.

-6n+5<11

-6n+5-5<11-5

-6n<6   when you divide by -6 be sure to change the sign

n>-1

Graph it in the number by placing an open circle on -1 and marking the arrow to the right.

7 0
3 years ago
8.
yaroslaw [1]
Center c and a scale factor of 2
8 0
3 years ago
Read 2 more answers
PLEASE HELP‼
stellarik [79]

D. 75 cm

Step-by-step explanation:

fill in the y with 20.5, so you get 20.5=0.3x-2. Add the 2 to the 20.5 so you get 22.5=0.3x. Divide both by 0.3 to get 75=x.

sorry if it's a bd explanation, hope this helps :)

4 0
3 years ago
What is the volume of the composite figure? (Round to the nearest hundredth. Use 3.14 for x.)
marshall27 [118]

The volume of the composite figure is the third option 385.17 cubic centimeters.

Step-by-step explanation:

Step 1:

The composite figure consists of a cone and a half-sphere on top.

We will have to calculate the volumes of the cone and the half-sphere separately and then add them to obtain the total volume.

Step 2:

The volume of a cone is determined by multiplying \frac{1}{3} with π, the square of the radius (r²) and height (h). Here we substitute π as 3.1415.

The radius is 4 cm and the height is 15 cm.

The volume of the cone :

V = \frac{1}{3} \pi r^{2} h = \frac{1}{3} (3.1415)(4^{2} )(15) = 251.32 cubic cm.

Step 3:

The area of a half-sphere is half of a full sphere.

The volume of a sphere is given by multiplying \frac{4}{3} with π and the cube of the radius (r³).

Here the radius is 4 cm. We take π as 3.1415.

The volume of a full sphere \frac{4}{3} \pi r^{3} = \frac{4}{3} (3.1415) (4^{3}) = 268.07 cubic cm.

The volume of the half-sphere =\frac{1}{2} (268.07) = 134.037 cubic cm.

Step 4:

The total volume = The volume of the cone + The volume of the half sphere,

The total volume 251.32+134.037 = 385.357 cub cm. This is closest to the third option 385.17 cubic centimeters.

5 0
3 years ago
Please help! take a pic and put a dot with the drawing tools on ur snipping tool/snip and sketch. Please i cant fail these quest
kherson [118]

take a pic of what and where are the questions???

5 0
2 years ago
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