All categories

2 years ago

Evaluate the following expression when x = 6 and y = 2:

Mathematics

2 answers:

VashaNatasha [74]2 years ago

7 0

Answer:

5.5

Hope it helps!

Ilya [14]2 years ago

3 0

17.25
...............................

You might be interested in

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

Read 2 more answers

Many graduates earn degrees in fields that result in high-paying jobs. Based on that assumption, which two fields most likely pa

MAXImum [283]

business and education

since business is wider there is human resource, accounts, finance and among others

3 0

3 years ago

Read 2 more answers

Why was I wrong why is this right

shutvik [7]

Answer:

Idk?

Step-by-step explanation:

3 0

3 years ago

Draw or write to explain why i hundred 4 ten and 14 tens name the same amount

butalik [34]

ten tens are one hundred and then they both have 4 tens or forty

8 0

3 years ago

Read 2 more answers

How to find distance between two points

nordsb [41]

Learn how to find the distance between two points by using the distance formula, which is an application of the Pythagorean theorem. We can rewrite the Pythagorean theorem as d=√((x_2-x_1)²+(y_2-y_1)²) to find the distance between any two points.

5 0

2 years ago

Read 2 more answers