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shepuryov [24]
3 years ago
13

65pts! plot the vertex and the axis of symmetry of this function:

Mathematics
2 answers:
Mashcka [7]3 years ago
4 0

Answer:

f(x)=(x−3)2−5

Find the properties of the given parabola.

Direction:

Vertex: (3,−5)

Focus: (3,−194)

Axis of Symmetry: x=3

Directrix: y=−214

Select a few x

values, and plug them into the equation to find the corresponding y values. The x

values should be selected around the vertex.

x  y

1   -1

2  -4

3   -5

4   -4

5    -1

Graph the parabola using its properties and the selected points.

Direction:

Vertex: (3,−5)

Focus: (3,−194)

Axis of Symmetry: x=3

Directrix: y=−214

x  y

1   -1

2  -4

3   -5

4   -4

5    -1

nadezda [96]3 years ago
4 0

Answer:

I can do it but not at now

So.. I will solve this later

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Please help me please
gizmo_the_mogwai [7]

Answer:

SA=390

Step-by-step explanation:

9*14=126

126+126=252

14*3=42

42+42=84

9*3=27

27+27=54

252+84+54=390

3 0
3 years ago
What operation is being done to the variable in the equation -5m = -40?
yaroslaw [1]

Answer:

m=8

Step-by-step explanation:

-5m=-40

divide both side by -5

-5m=-40

-5=-5 answer is m=8

6 0
1 year ago
Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack. The number of $0.45 comic b
Anna007 [38]

Answer:

The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books

Step-by-step explanation:

A system of linear equations is a set of two or more equations of the first degree, in which two or more unknowns are related.

Solving a system of equations consists of finding the value of each unknown so that all the equations of the system are satisfied.

In this case, the unknowns or unknown variables are:

x: number of $ 0.45 comic books

y: number of $ 0.75 comic books

Jacques wants to make up packs of $0.45 comic books mixed with $0.75 ones to sell at $9.00 per pack.  Then the equation that represents this situation is:

x*0.45 + y*0.75= 9

On the other side, the number of $0.45 comic books is 4 more than the number of $0.75 comic books.  Then the equation that represents this situation is:

x+4=y

The system of equations to solve is:

\left \{ {{x*0.45+y*0.75=9} \atop {x+4=y}} \right.

One way to solve a system of equations is the substitution method, which consists of solving one of the unknowns in one of the equations and substituting its value in the next.

In this case we directly replace the expression of the variable and of the second equation in the first:

x*0.45 + (x+4)*0.75= 9

Solving:

x*0.45 + 0.75*x + 4*0.75= 9

1.2*x + 3=9

1.2*x= 9-3

1.2*x= 6

x= 6÷ 1.2

x=5

Replacing this value in the expression x+4=y you get:

5 +4=y

9=y

<u><em>The number of each type in the pack is 5 of $0.45 comic books and 9 of $0.75 comic books</em></u>

8 0
3 years ago
A 15. 0 cm object is 12. 0 cm from a concave mirror that has a focal length of 4. 8 cm. Its image is 8. 0 cm in front of the mir
Pachacha [2.7K]

Answer:

-10

Step-by-step explanation:

right on edge 2022

6 0
2 years ago
What is the measure of angle UST?
aliina [53]
I think the answer is c 30 degrees!!
6 0
3 years ago
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