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3 years ago

What is the value of z in the table?6789

Mathematics

1 answer:

topjm [15]3 years ago

6 0

Answer:

$100 \times 0.08 = 8$

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PLS PLS HELP, I DONT WANT TO FAIL!!

Flura [38]

Answer:

2.0 seconds

Step-by-step explanation:

Given quadratic functions:

$\begin{cases}y=-7x^2+26x+3\\y=-6x^2 +23x+5\end{cases}$

To find the time, in seconds, that the balloons collided at the highest point, substitute one equation into the other equation and rearrange to equal zero:

$\begin{aligned}-6x^2+23x+5 & = -7x^2+26x+3\\-6x^2+23x+5+7x^2 & = -7x^2+26x+3+7x^2\\x^2+23x+5 & = 26x+3\\x^2+23x+5-26x & = 26x+3-26x\\x^2-3x+5& = 3\\x^2-3x+5-3& = 3-3\\x^2-3x+2& = 0\end{aligned}$

Factor the quadratic:

$\begin{aligned}x^2-3x+2 & = 0\\x^2-2x-x+2 & = 0\\x(x-2)-1(x-2) & = 0\\(x-1)(x-2) & = 0\\\end{aligned}$

Apply the zero-product property to solve for x:

$\implies (x-1)=0 \implies x=1$

$\implies (x-2)=0 \implies x=2$

Therefore, the balloons collided at 1 second and 2 seconds.

To find at which time the highest point of collision occured, substitute both values of x into one of the functions:

$f(1)=-6(1)^2 +23(1)+5=22$

$f(2)=-6(2)^2 +23(2)+5=27$

Therefore, the time, in seconds, that the balloons collided at the highest point is 2.0 seconds.

Learn more about quadratic systems of equations here:

brainly.com/question/27930827

8 0

1 year ago

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benito read 14 books in 3 months, which was 35% of the number of books he had signed up to read during the school year .how many

lianna [129]

14 books in 3 months is 35%
all of books is 100%

14- 35%
x- 100%
we calculate from proportions, crosswise:
$x=\frac{14*100}{35}=\frac{1400}{35}=40$

Answer: Benito sign up to read 40 books.

Greetings,
n00nst00p :)

7 0

3 years ago

How do I find surface area of a triangular pyramid

emmasim [6.3K]

Use the formula SA=a+1/2ps

a=area of the base

p= perimeter of the base

s= slant height

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3 years ago

The sum of two numbers is 19 . When the second number is subtracted from the first number, the difference is 17 . Find the two

zhenek [66]

Answer:

19 and 2

Step-by-step explanation:

Let x represent the first number and y represents second number

x + y = 19

x - y = 17 add two equations up

2x = 36 divide both sides by 2

x = 19 and since the difference is 17 the other number is 2

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2 years ago

Find the surface area of a cube that is 5/8

vlabodo [156]

Answer:

A=6a2

Step-by-step explanation:

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3 years ago

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What is the value of z in the table?6789​

What is the value of z in the table?6789