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3 years ago

How many x-intercepts does the graph of y = (2x +5)(x −9) 2have? Explain. QUICK PLEASE!

Mathematics

1 answer:

nekit [7.7K]3 years ago

5 0

Answer: 2

Step-by-step explanation:

x-intercepts are points on a graph that lie directly on the x-axis and have 0 as their y-coordinate value. To find the x-intercepts, we just have to replace the y in the equation with 0.

y = (2x+5)(x-9)

0 = (2x+5)(x-9)

Apply zero product rule.

2x+5 = 0 OR x-9 = 0

x = - $\frac{5}{2}$ OR x = 9

Thus, the two coordinates of the x-intercepts are: (- $\frac{5}{2}$ , 0) and (9, 0)

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Find the slope of the line graphed below.

sesenic [268]

Answer:

$\displaystyle m=\frac{1}{2}$

General Formulas and Concepts:

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Step-by-step explanation:

Step 1: Define

Find points from graph.

Point (0, 1)

Point (2, 2)

Step 2: Identify

x₁ = 0, y₁ = 1

x₂ = 2, y₂ = 2

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points/variables [Slope Formula]: $\displaystyle m=\frac{2-1}{2-0}$
[Slope] [Fraction] Subtract: $\displaystyle m=\frac{1}{2}$

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3 years ago

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Aleksandr-060686 [28]

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3 years ago

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A garden is in the shape of a rectangle. If the garden has a length of 4 feet and a width of 6 feet, what is the area of the gar

julsineya [31]

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3 years ago

Distribute. -3(-2x - 1)

ANTONII [103]

I believe the answer should be 6x+3

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In the diagram below, RA is parallel to ET, and RT is 21 units long. Find the length of ST

pav-90 [236]

Answer:

ST = 12 units

Step-by-step explanation:

As RA is parallel to ET, the angle in R is equal to the angle in T, and the angle in A is equal to the angle in E, so the triangle RAS is similar to the triangle SET.

If RT is 21 units, we have that RS + ST = 21 -> RS = 21 - ST

Using a rule of three with the sides of the triangle (as they are proportional), we have:

RS / ST = AR / ET

(21 - ST) / ST = 6 / 8

4 * (21 - ST) = 3*ST

84 - 4*ST = 3*ST

7*ST = 84

ST = 12 units

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4 years ago