MATHEMATICS HIGH SCHOOL

The function f(x) = 7 – 4x + x2 written in vertex form is f(x) = (x – 2)2 + 3. What is the axis of symmetry for the function?x = –3
x = –2
x = 2
x = 3

Answers

Answer 1
Answer:

Answer:

x = 2

Step-by-step explanation:

The vertex form of the parabola is given by f(x)=(x-2)^2+3

Comparing this equation with vertex form of a parabola y=a(x-h)^2+k, where (h,k) is the vertex

h = 2

k = 3

Hence, vertex is (2,3)

Now, axis of symmetry of a parabola passes through the vertex and divide the parabola in two equal halves.

Hence, axis of symmetry of the parabola is given by

x = h

x = 2

Third option is correct.
Answer 2
Answer: Hello,
Answer x=2 (x=h in vertex form y=a(x-h)²+k )

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Solve the system using the method of your choice: y = 3x – 4 2x + 4y = 26 SHOW WORK

Answers

Hello Savanna


y=3x-4

2x+4y=26

Can we solve it together ? :) Thx


We need to solve y=3x-4 for y

Now let's start solving this by substitute 3x-4 for y in 2x+4y=26

2x+4(3x-4)=26

14x-16=26

Now let's add 16 to both sides

14x-16+16=26+16

14x=42

Divide both sides by 14 so we can find the value for x

14x/14= 42/14

x=3

Good job:) now we find the value of x

We are not done yet.


Let's find the value for y by substitute 3 for x in y=3x-4

y=3x-4

y=(3)(3)-4

y=9-4

y=5

Yeah well done :)

Final answer : x=3 and y=5

                         (3,5)


Was that helped ? please rate my answer :0

Joshua was offered a job that paid a salary of $77,500 in its first year. The salary was set to increase by 2% per year every year.If Joshua worked at the job for 5 years, what was the total amount of money earned over the 5 years, to the nearest whole
number?

Answers

Answer:

if you want it as dollars and cents it is $77.50 but in nearest whole number it would be 78 dollars

Step-by-step explanation:

step 1: multiply the 2 by 5 and you get 10%

step two: you put 10 over 100 and multiply 77,500

10/100 x 77,500/1= $77.50

but when you roung it off you get 78 dollars

Answer: joshua earned $403,313 over 5 years

Step-by-step explanation:

What is the constant of variation for the quadratic variation?x 2 3 4 5 6
y 20 45 80 125 180
A.5
B.10
C.15
D.25

Answers

Given:
x  =   2     3     4      5     6
y  = 20 ; 45 ; 80; 125;180

The constant variation for the quadratic variation is 5.

y = 5x²
y = 5(2²) = 5(4) = 20
y = 5(3²) = 5(9) = 45
y = 5(4²) = 5(16) = 80
y = 5(5²) = 5(25) = 125
y = 5(6²) = 5(36) = 180

What is the collection of numbers that includes the natural numbers, together with their negatives and zero?

Answers

we know that
An integer is a whole number (not a fractional number) that can be positive, negative, or zero.
so
the answer is
the collection of numbers that includes the natural numbers, together with their negatives and zero are the integers

Pllllzzzz helpp Me with this Question

Answers

the answer is D
when we distribute an element to a factor it call distribution property
   
\texttt{Equation D. shows the distributive property.} \n \n D. ~~~~~ \boxed{ -5(2 + 9) = -5 \cdot 2 + (-5) \cdot 9 }

Can anyone please help with this question

Answers

so 4(x+5)=x+8
first we distribute
using the distributive property of multiplication which is a(b+c)=(ab)+(ac)

4(x+5) is also (4x)+(4(5))=4x+20

4x+20=x+8
subtract x from both sides
3x+20=8
subtract 20 from both sides
3x=-12
divide both sides by 3
x=-4
4(x+5)=x+8
4x+4*5=x+8
4x+20=x+8
4x-x+20=x+8-x
3x+20-20=8-20
3x=-12
3x/3=(-12)/3
x=-4
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