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3 years ago

Evaluate 6^2+(3*4)-2^4

Mathematics

1 answer:

almond37 [142]3 years ago

6 0

Answer:

6^2+(3*4)-2^4 = 32

Step-by-step explanation:

6^2+(3*4)-2^4 = 6*6 + 3*4 - 2*2*2*2

= 36 +12 -16

= 48 -16

= 32

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What is the equation of the line that is parallel to 8x-5y=2 and goes through the point (-5,-2)

Stella [2.4K]

Answer:

8x - 5y = - 30

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Rearrange 8x - 5y = 2 into this form

Subtract 8x from both sides

- 5y = - 8x + 2 ( divide all terms by - 5 )

y = $\frac{8}{5}$ x - $\frac{2}{5}$ ← in slope- intercept form

with slope m = $\frac{8}{5}$

• Parallel lines have equal slopes, hence

y = $\frac{8}{5}$ x + c ← is the partial equation of the parallel line

To find c substitute (- 5, - 2) into the partial equation

- 2 = - 8 + c ⇒ c = - 2 + 8 = 6

y = $\frac{8}{5}$ x + 6 ← in slope- intercept form

Multiply through by 5

5y = 8x + 30 ( subtract 5y from both sides )

0 = 8x - 5y + 30 ( subtract 30 from both sides )

8x - 5y = - 30 ← in standard form

3 0

3 years ago

What is the solution to this system of equations? 4x + 5y = 7

Nutka1998 [239]

Answer:

(-2, 3)

Step-by-step explanation:

4x + 5y = 7

3x - 2y = -12

Let's solve this by elimination. We want to eliminate one variable at a time. This means we need to multiply the equations to create a common multiple to cancel out a variable.

Let's work with y.

5y and -2y: For these values to cancel out, we need to multiply each term to create a common multiple.

2(4x + 5y = 7)

5(3x - 2y = -12)

Multiply.

8x + 10y = 14

15x - 10y = -60

Eliminate.

23x = -46

Divide both sides by 23.

x = -2

Now that we know x, let's plug it back into one of equations to find y.

4x + 5y = 7

4(-2) + 5y = 7

Multiply.

-8 + 5y = 7

Add.

5y = 15

Divide.

y = 3

Now we know x and y; let's plug both back into the equation we have not checked yet.

3x - 2y = -12

3(-2) - 2(3) = -12

Multiply.

-6 - 6 = -12

Subtract.

-12 = -12

Your solution is correct.

(-2, 3)

Hope this helps!

8 0

2 years ago

For the function below, find the vertex, axis of symmetry, maximum or minimum value, and the graph of the function.

const2013 [10]

F(x) = x^2/2 + 2x + 1f(x) = 1/2 * (x^2 + 4x) + 1f(x) = 1/2 * (x^2 + 4x + 4) - 1/2 * (4) + 1f(x) = 1/2 * (x + 2)^2 - 1
The vertex is (-2, -1). The axis of symmetry is x = -2. The minimum value is -1. The maximum value is infinity.

I hope my answer has come to your help. Thank you for posting your question here in Brainly. We hope to answer more of your questions and inquiries soon. Have a nice day ahead!

6 0

2 years ago

Read 2 more answers

PLS HELP ASAP THANKS ILL GIVE BRAINLKEST PLS THANKS PLS ASAP

Alenkasestr [34]

Answer:

(0, 6)

explanation:

original coordinates of C: (5, -6)

if reflected over x-axis, then use the formula: (x,y) → (x, -y)

new coordinates: (5, 6)

then if translated -5 horizontally, there will be change in x axis

new coordinates: (5-5, 6) → (0, 6)

3 0

2 years ago

Let P=x^2+6<br> PLEASE SHOW WORK!!<br> 15 POINTS

stellarik [79]

Answer:

Step-by-step explanation:

P = x^2 + 6

$(x^2+6)^2 - 21 = 4x^2 + 24\\(x^2+6)^2 - 4x^2 - 45 = 0$

Solving for 4x^2:

P = x^2 +6

P - 6 = x^2

4(P - 6) = 4x^2

Substitution:

$p^2 - 4p - 24 - 45 = 0\\p^2 -4p - 69 = 0$

4 0

3 years ago