4- What are the different waysto solve a quadratic? List examples of each

Answers

Answer 1

Answer: I know of two ways to solve quadratic equations. The first is through factoring. Let us take the example (x^2)+2x+1=0. We can factor this equation out and the factors would be (x+1)(x+1)=0. To solve for the roots, we equate each factor to 0, that is

x+1=0; x+1=0

In this case, the factors are the same so the root of the equation is

x=1.

The other way is to use the quadratic formula. The quadratic formula is given as [-b(+-)sqrt(b^2-4ac)]/2a where, using our sample equation above, a=1, b=2 and c=1. Substitute these to the formula, and you will get the same answer as the method above.

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If 4i(-3-yi)+7=27-12i,what is the value of y
A company has introduced two new products to the market. The revenue generated by product A was $63,000 in the first year, and the revenue increases by 3.5% every year.The revenue generated by product B was $81,000 in the first year, and the revenue increases by 2.1% every year.Which function can the company use to determine its total revenue from the two products, R(x), after they have been on the market for x years, and approximately what will be the revenue generated by sales of the products after 6 years?R(x) = 9,000[7(1.035)x + 9(1.021)x]; $635,580R(x) = 9,000[7(1.035)x + 9(1.021)x]; $169,200R(x) = 9,000[9(1.035)x + 7(1.021)x]; $170,936R(x) = 9,000[9(1.035)x + 7(1.021)x]; $688,050

What is the factored form of 3c²+24c+48 ?

Answers

1st step factor 3 out of each number in the equation to get:

3(c^2+8c+16)

16 can be rewritten as 4^2 to get:
3(c^2+8c+4^2)

4+4 = 8 ( the middle number)

so the factor would be 3(c+4)^2

In a circle with a radius of 26.9 m, an arc is intercepted by a central angle of 9π/5 radians.What is the arc length?
Use 3.14 for π
and round your final answer to the nearest hundredth.
Make sure to show your calculations.

Answers

Answer:

152.04 For anybody that still needs the answer.

Step-by-step explanation:

360 degrees = 2 PI radians
Central angle = 1.8 PI radians

Central angle (degrees) = (1.8 / 2) * 360 = 324 degrees

circle circumference = 26.9 * 2 * PI =169.0176847631
arc length = (324 / 360) * 169.0176847631
arc length = .9 * 169.0176847631
arc length = 152.1159162868 m

How to graph the equation y=1/4x-6

Answers

$y= (1)/(4)x-6 \n \nx=-8 \Rightarrow y=(1)/(4)* (-8)-6=-2-6=-8\n \nx=-4 \Rightarrow y=(1)/(4)* (-4)-6=-1-6=-7\n \nx=0 \Rightarrow y=(1)/(4)* 0-6=0-6=-6\n \nx=4 \Rightarrow y=(1)/(4)*4-6=1-6=-5 \n \nx=8 \Rightarrow y=(1)/(4)*8-6= 2-6=-4$

suppose that you're building a shed and me to pour concrete slab to support it. You know that the slab will be 15 feet wide, 10 feet long, 6 inches deep. concrete is usually sold by the cubic yard. How many cubic yards of concrete will you need for the slab?

Answers

convert all to one unit - I'm choosing feet
15 x 10 x 0.5 = 15 x 5 = 75 feet
1 cubic yard = 1 yard x 1 yard x 1 yard = 3 ft x 3 ft x 3 ft = 27 feet?

75/27 = 2.77777778 cubic yards (I think)

At what point does the graph of 5x + 4y = 12 intersect the y-axis?

Answers

first step is to simplify the equation or calculate..... so the formate of y=mx+b
4y=-5x+12
y=-5/4+3

so slope m=-5/4
b=3
count 3 on the y intercept from zero going up 3,put a dot there . then go down -5 from 3 and then count right 4 and put a dot there.if you need more help ask me or message me.

In there x=0 so 4y=12 or y=3. The point is (0,3)
That x=0 is the definition for x intersecting the axis.
We're at the same lesson now, lol.

ivan saves 20 percent of his monthly paycheck for music equipment. he earned $335 last month. how mush money did ivan save for music equimpet

Answers

$multiply\ 20\%\ times\ money\ that\ he\ earned\ last\ month\n\n20\%*335=0,2*335=67\n\nHe\ saved\ 67\$.$

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