MATHEMATICS HIGH SCHOOL

Find the value of x (pic attached)

Answers

Answer 1

Answer: Answer: x=4, I added a photo of my work in case you need it I hope it helps

Answer 2

Answer:

Answer:

x=4

Step-by-step explanation:

they are the same

what you do is take 4x+23 and make it equal to 10x-1

4x+23=10x-1

+1 +1

4x+24=10x

-4x -4x

24=6x

/6 /6

x=4

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A homemade lip balm consists of coconut oil and beeswax. Coconut oil costs $0.50 per ounce and beeswax costs $2.00 per ounce. If 6 ounces of coconut oil and 5 ounces of beeswax are used to create the lip balm mixture, which values represent a and b in the table?

Tanya kicks a ball into the air. The function that models this scenario is f(t) = –16t2 + 96t, where h is the height of the ball in feet and t is the time seconds.When will the ball hit the ground?

Answers

Answer:

the ball hit the ground at $t=6\ sec$

Step-by-step explanation:

we have

$h(t)=-16t^(2) +96t$

This is the equation of a vertical parabola open downward

The vertex is a maximum

we know that

The x-intercept of the function is the value of t when the value of h(t) is equal to zero

The ball hit the ground when h(t) is equal to zero

equate the function to zero and solve for t

$0=-16t^(2) +96t$

Factor the leading coefficient

$-16t(t -6)=0$

The solutions are

$t=0, t=6\ sec$

therefore

the ball hit the ground at $t=6\ sec$

I guess the function is h(t) = -16t^2 + 96t (instead of f(t) )

When the ball hits the groung h(t) = 0

Then solve the equation for t

- 16t^2 + 96 t = 0

Divide by -16

t^2 - 6t = 0

t(t-6) = 0

t =0 is when the ball is kicked off

t = 6 is the answer.

What is the value of x in the equation x – y = 30, when y = 15?

Answers

$45-15=30$

X=45

x - y = 30
y = 15
x - 15 = 30
x = 30 + 15
x = 45

A square brick is 11 inches on each side. What is the area of one face of the brick?

Answers

All sides of a square are the same so if the length of one is is 11 inches, then all of the sides are 11 inches.
To work out the area of a square you multiply the length and the width.
In this case the sum would be: 11 x 11
The answer to that is 121.
So overall, the answer would be 121 inches.

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:

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.

Hello,
Answer x=2 (x=h in vertex form y=a(x-h)²+k )

Six years ago Anita was P times as old as Ben was. If Anita is now 17 years old, how old is Ben now in terms of P ?

Answers

Ben is $(P)/(11)+6$ old now in terms of P .

What is linear equation?

A linear equation in two variables is of the form Ax + By + C = 0, in which A and B are the coefficients, C is a constant term, and x and y are the two variables, each with a degree of 1. For example, 7x + 9y + 4 = 0 is a linear equation in two variables. If we consider two such linear equations, they are called simultaneous linear equations.

According to the question

Six years ago Anita was P times as old as Ben was.

Let Ben's age now be B.

Anita's age now is A.

Writing linear equation in two variables

(A-6) = P(B-6)

But A is 17 and therefore

17 - 6 = P(B - 6)

11 = P(B - 6)

$(11)/(P)$ = (B-6)

$B = (P)/(11)+6$

Hence,

Ben is $(P)/(11)+6$ old now in terms of P .

Find out more information about linear equation in two variables here

brainly.com/question/17139602

#SPJ2

Anita is 17 years old now
6 years ago she was 17- 6 years = 11 years
thus 6 years ago Ben is P 11 years old
therefore Ben will be P 11 + 6 years old now

Antonio and Candice had a race. Their distances past a particular landmark as the race progressed can be represented by linear functions and are shown in the table of values and graph below. Which statement is true regarding Antonio and Candice’s race?Antonio’s Distance Past the Landmark
Time (seconds)
8
12
16
20
24
Distance (meters)
29
41
53
65
77

A graph titled Candice's Distance Past the Landmark has time (seconds) on the x-axis, and Distance (meters) on the y-axis. A line goes through points (5, 22), (10, 42), (15, 62) and (20, 82).