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3 years ago

Given

Mathematics

1 answer:

kondaur [170]3 years ago

4 0

Answer:

+ 10 and + 7

Step-by-step explanation:

Given

2x² + 7x + 5

Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term.

product = 2 × 5 = + 10 and sum = + 7

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223 people need to ride the elevator to the top of a skyscraper. The elevator can hold 9 people at a time. How many people will

topjm [15]

Answer:

9 people would be on the elevator when it goes on its last trip

Step-by-step explanation:

24 x 9 = 216

25 x 9 = 225

225 - 216 = 9

So there is an 9 difference

8 0

2 years ago

Brendon is walking home from a place that is 1.5 miles away. The function y = 7,920 − 270x represents Brendon’s distance in feet

andreyandreev [35.5K]

Answer:

Bryan walks faster

Bryan was farther away from home when he started walking.

Step-by-step explanation:

Given the following :

Brendon's distance in feet from home 'y' in relation to the number of minutes walked 'x'

y = 7,920 − 270x

For bryan:

Minutes (x) - - - 0 - - - - - 15

Feet ( y) - - 8000 - - - 3800

General form of a linear equation :

y = mx + C

m = gradient / slope

m = (y2 - y1) / (x2 - x1)

m = (3800 - 8000) / (15 - 0)

m = -4200 / 15 = - 280

Intercept 'c' = 8000 (where line intersect the y axis), (since y = 8000, when x = 0)

Therefore,

Bryan's model:

y = 8000 - 280x

Comparing both functions :

Bryan has a greater speed ( from the gradient)

Bryan was farther away from home when he started walking ( intercept )

3 0

2 years ago

Simplify each product. Write in standard form.

andrey2020 [161]

29. w^2 + 13w + 12
31. 9r^2 - 12r + 4
33. 21q^2 + 62q + 16

7 0

2 years ago

Consider the equation 9 – 4x = 2x.

ddd [48]

Answer:

9=6x have a great day

Step-by-step explanation:

5 0

2 years ago

Read 2 more answers

2. y = -2x² + 8x<br>Axis of Symmetry:<br>Vertex:<br>Domain:<br>Range:

worty [1.4K]

Answer:

Part 1) The axis of symmetry is x=2

Part 2) The vertex is the point (2,8)

Part 3) The domain is all real numbers

Part 4) The range is all real numbers less than or equal to 8

Step-by-step explanation:

we have

$y=-2x^{2}+8x$

This is a vertical parabola open downward (because the leading coefficient is negative)

The vertex represent a maximum

step 1

Find the vertex

Convert the quadratic equation in vertex form

Factor -2 leading coefficient

$y=-2(x^{2}-4x)$

Complete the square

$y=-2(x^{2}-4x+4)+8$

rewrite as perfect squares

$y=-2(x-2)^{2}+8$

The vertex is the point (2,8)

step 2

Find the axis of Symmetry

we know that

In a vertical parabola, the axis of symmetry is equal to the x-coordinate of the vertex

the vertex is the point (2,8)

therefore

The axis of symmetry is x=2

step 3

Find the domain

The domain of the quadratic equation is the interval ------> (-∞,∞)

The domain is all real numbers

step 4

Find the range

The range of the quadratic equation is the interval ------> (-∞,8]

$y\leq 8$

The range is all real numbers less than or equal to 8

5 0

2 years ago