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Natalka [10]
2 years ago
8

The function f(x) = x2 + 10x – 3 written in vertex form is f(x) = (x + 5)2 – 28. What are the coordinates of the vertex?

Mathematics
2 answers:
MrRa [10]2 years ago
5 0
The vertex of the quadratic equation is (-5, - 28). In vertex form, y = a(x - h)2<span> + </span><span>k, (h, k) is the vertex of the equation.</span>
dalvyx [7]2 years ago
5 0

Answer:

The coordinates of the vertex are (-5,-28)

Step-by-step explanation:

we know that

The equation of a vertical parabola into vertex form is equal to

f(x)=a(x-h)^{2}+k

where

(h,k) is the vertex of the parabola

In this problem we have

f(x)=(x+5)^{2}-28

a=1. h=-5,k=-28

therefore

Is a vertical parabola open upward

The vertex is a minimum

The vertex is the point (-5,-28)


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Substituting the known dimensions on the equation above,
 
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3 years ago
This tree diagram shows the possible outcomes for tossing a nickel and tossing a penny. What is the probability of both coins la
Elanso [62]

Answer:

The possibility is 1/4, with 1 representing both coins tails up, and the 4 representing all the outcomes possible.

Step-by-step explanation:


8 0
3 years ago
Read 2 more answers
Plz help me.
Vlad [161]
Assuming you want to find x?
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4 0
2 years ago
Umm I don’t remember this please help. I will give correct answer brainliest
VikaD [51]

Answer:

Option D

Step-by-step explanation:

F=\frac{9}{5}C+32\\\\F-32=\frac{9}{5}C  \\\\5(F-32)=9C\\\\\frac{5(F-32)}{9}=C  \\\\C=\frac{5}{9}( {F-32})

For F=77°F

C=\frac{5}{9}(F-32) \\\\C=\frac{5}{9}(77-32)\\\\C=\frac{5}{9}(45)\\\\C=\frac{225}{9} \\\\C=25

7 0
2 years ago
1. The Senior Class of Great Ridge High School and Ann Arbor High School are planning a trip to Six Flags Theme Park. Great Ridg
Zanzabum

Answer:

A)14v + 16b = 1152

10v + 13b = 925

B)Number of students in a van = 8

Number of students in each bus = 65

C) Elimination method was easier.

Step-by-step explanation:

Let v be the number of students in a van

Let b be number of students in a bus

A) We are told the first school can fill 14 vans and 16 buses with 1152 students

Thus;

14v + 16b = 1152 - - - - - (eq 1)

Also,we are told that the second school can fill 10 vans and 13 buses with 925 students.

Thus;

10v + 13b = 925 - - - - (eq 2)

B) To solve this we will use elimination method.

Multiply eq (1) by 5 and multiply eq (2) by 7 to give;

70v + 80b = 5760 - - - - eq(3)

70v + 91b = 6475 - - - - - eq(4)

Subtract eq(3) from eq(4) to give;

91b - 80b = 6475 - 5760

11b = 715

b = 715/11

b = 65

Put 65 for b in eq(3) to give;

70v + 80(65) = 5760

70v = 5760 - 80(65)

70v = 560

v = 560/70

v = 8

Number of students in a van = 8

Number of students in each bus = 65

C) Elimination method was used because in both equations, we had different digits attached and so it would have been more tedious to use substitution method or graphical method. Thus, elimination method was more easier.

7 0
3 years ago
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