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3 years ago

7. Factor Completely (1 Point) x^2– 25

Mathematics

1 answer:

mixas84 [53]3 years ago

7 0

Let's factor x2−25

x2−25

The middle number is 0 and the last number is -25.

Factoring means we want something like

(x+_)(x+_)

Which numbers go in the blanks?

We need two numbers that...

Add together to get 0

Multiply together to get -25

Can you think of the two numbers?

Try 5 and -5:

5+-5 = 0

5*-5 = -25

Fill in the blanks in

(x+_)(x+_)

with 5 and -5 to get...

(x+5)(x-5)

Answer:

(x+5)(x−5)

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Find the slope between the two points: (2,3) and (4,5)

eduard

Y2-y1=5-3=2 the slope is 1
x2-x1=4-2=2

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3 years ago

The amount of apples Blake harvested went from 500 lb in 2009 to 425 lb in 2010. Find the percent decrease.

HACTEHA [7]

Answer:

15%

Step-by-step explanation:

The first step is to calculate the decrease

= 500-425

= 75

The percentage decrease can be calculated as follows

= 75/500 ×100

= 0.15×100

= 15%

Hence the percent decrease is 15%

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3 years ago

Consider h(x)=x^2+8+15. identify its vertex and y-intercept.

OleMash [197]

Answer:

Vertex: (-4, -1)

Y-intercept: (0, 15)

Step-by-step explanation:

Given the quaratic function, h(x) = x² + 8x + 15:

In order to determine the vertex of the given function, we can use the formula, $[x = \frac{-b}{2a}, h(\frac{-b}{2a})]$ .

<h3>Use the equation: $[x = \frac{-b}{2a}, h(\frac{-b}{2a})]$ </h3>

In the quadratic function, h(x) = x² + 8x + 15, where:

a = 1, b = 8, and c = 15:

Substitute the given values for <em>a</em> and <em>b</em> into the equation to solve for the x-coordinate of the vertex.

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

$x = \frac{-8}{2(1)}$

x = -4

Subsitute the value of the x-coordinate into the given function to solve for the <u>y-coordinate of the vertex</u>:

h(x) = x² + 8x + 15

h(-4) = (-4)² + 8(-4) + 15

h(-4) = 16 - 32 + 15

h(-4) = -1

Therefore, the vertex of the given function is (-4, -1).

<h3>Solve for the Y-intercept:</h3>

The <u>y-intercept</u> is the point on the graph where it crosse the y-axis. In order to find the y-intercept of the function, set x = 0, and solve for the y-intercept:

h(x) = x² + 8x + 15

h(0) = (0)² + 8(0) + 15

h(0) = 0 + 0 + 15

h(0) = 15

Therefore, the y-intercept of the quadratic function is (0, 15).

5 0

3 years ago

After painting 3/8 of a fence he finds that he has painted 15 feet

siniylev [52]

Answer: I'm assuming you want to know how much surface area his fence is, so 40

Step-by-step explanation: First we can divide 15 by 3 to get 5, and then multiply 5 by 8. This gives us 40, which is our answer.

Hope this helps :)

6 0

3 years ago

Read 2 more answers

A bag contains even and odd numbered balls in the ratio of 3:7, respectively. For each of the following, what is the probability

Gre4nikov [31]

Answer:

a) 0.425

b) 0.65

c) 0.575

Step-by-step explanation:

The ratio of even balls to odd balls is 3:7. That means if there are 3 even balls, then there are 7 odd balls. That makes a total of 10 balls, of which 30% are even and 70% are odd.

a) There are 240 balls, so originally, 72 are even and 168 are odd. 30 of the odd balls are renumbered by multiply by 4. An odd number times an even number is an even number, so 30 of the odd balls become even balls. So there are now 102 even balls and 138 odd balls. Therefore:

P(even) = 102 / 240

P(even) = 0.425

b) Originally, 70% of the balls are odd. Half of those are renumbered by multiplying by 6, so they become even numbers.

P(odd) = 0.5 (70%) = 35%

P(even) = 30% + 35% = 65%

A third of the even balls are renumbered by multiplying by 5, so they remain even numbers.

Therefore, P(even) = 0.65.

c) Originally, 30% of the balls are even. Half of those are renumbered by adding 3. An even number plus an odd number is an odd number, so:

P(even) = 0.5 (30%) = 15%

P(odd) = 70% + 15% = 85%

Next, half the odd balls are renumbered by adding 5. An odd number plus an odd number is an even number, so:

P(odd) = 0.5 (85%) = 42.5%

P(even) = 15% + 42.5% = 57.5%

Therefore, P(even) = 0.575.

8 0

3 years ago