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2 years ago

There are 180 days in a school year. If your

Mathematics

1 answer:

tiny-mole [99]2 years ago

5 0

Answer:

you need to multiple or add if you multiple your answer is 1080 and if you add your answer is 240 am I correct see for yourself

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Alex and Peter win some money and share it in the ratio 6:1. Alex gets £50 more than Peter. How much did they get altogether?

Alex Ar [27]

Alex = 6x
Peter = x

6x = x + 50
5x = 50
x = 10

Alex = £60
Peter = £10

together = £70

6 0

4 years ago

Read 2 more answers

Graph f(x) =-2x^+16x-30 by factoring to find the solutions, then find the coordinates of the vertex, and the axis of symmetry. I

fredd [130]

Answer:

Observe attached image

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

Axis of symmetry:

 $x =4$ 

Step-by-step explanation:

First factorize the function

$f (x) = -2x ^ 2 + 16x-30$

Take -2 as a common factor.

$-2(x ^ 2 -8x +15)$

Now factor the expression $x ^ 2 -8x +15$

You must find two numbers that when you add them, obtain the result -8 and multiplying those numbers results in 15.

These numbers are -5 and -3

Then we can factor the expression in the following way:

$f (x) = -2(x-5)(x-3)$

The quadratic function cuts the x-axis at x = 3 and at x = 5.

Now we find the coordinates of the vertex.

For a function of the form $ax ^ 2 + bx + c$ the x coordinate of its vertex is:

$x = \frac{-b}{2a}$

In the function $f (x) = -2x ^ 2 + 16x-30$

$a = -2\\b = 16\\c = 30$

Then the vertice is:

$x = \frac{-16}{2(-2)}\\\\x = 4$

The y coordinate of the symmetry axis is

$y = f (4) = -2 (4) ^ 2 +16 (4) -30\\\\y = 2$

The axis of symmetry is a vertical line that cuts the parabola in two equal halves. This axis of symmetry always passes through the vertex.

Then the axis of symmetry is the line

$x = 4$

The solutions and the vertice written as ordered pairs are:

Function zeros:

(3, 0), (5, 0)

Vertex:

(4, 2)

6 0

3 years ago

Marcie can swim 20 laps in an hour. How many hours will it take her to swim 100 laps

Margarita [4]

Answer:

5 hours

Step-by-step explanation:

We can write a ratio

20 laps 100 laps

-------------- = --------------

1 hour x hours

Using cross products

20x = 100

Divide by 20

20x/20 = 100/20

x = 5 hours

4 0

3 years ago

Read 2 more answers

Find the quotient of -88,11

nata0808 [166]

The answer is 11....................

7 0

3 years ago

Which of the following statements describes one part of completing the square for x 2 + 4x = 32?

Westkost [7]

SOS:

Answer:

Take the square root of 36 and subtract 2.

Step-by-step explanation:

$x^2+4x=32\\(\frac{1}{2}*4=2; 2^2=4) : x^2+4x+4=36\\\sqrt{(x+2)^2}=\sqrt{36}\\ x+2=±6: -2+6=4, -2-6=-8$

Hope this helps!!

7 0

3 years ago