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4 years ago

The graph of y = ax 2 + bx + c is shown below. Determine the solution set of 0 = ax 2 + bx + c.

Mathematics

2 answers:

erma4kov [3.2K]4 years ago

8 0

Answer: The correct answer is actually 2

Step-by-step explanation: i tried the other persons answer and got it wrong and this is the correct answer!!! GLAD TO HELP

kicyunya [14]4 years ago

3 0

Answer:

look below

Step-by-step explanation:

The vertex will be found at (4,2) and we can write that :

(y - 2) = (a)(x - 4)^2 and since (8,6) is on the curve, we can solve for a

(6 -2) = (a) (8 - 4)^2 simplify

4 = (a)(4)^2

4 = (a)16 → a = 4/16 = 1/4

Since the x coordinate of the vertex is given by -b/ (2a) we have that -b/[2 (1/4)] = 4 → -b / (1/2) = 4 → -b = 2 → b = -2

And using the fact that (4,2) is on the graph, we can find c, thusly :

y = ax^2 + bx + c ......so......

2 = (1/4)(4)^2 -2(4) + c

2 = 4 - 8 + c

2 = -4 + c

c = 6

Then a*b*c = (1/4) (-2) (6) = (1/4)(-12) = -3

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On a clear day you can see about 25.2 miles from the upper observation platform of the Eiffel tower in Paris. Using the formula

fredd [130]

Answer:

D. 914 feet

Step-by-step explanation:

We are given the distance that a person can see on a clear day from the upper observation platform of the Eiffel tower in Paris. We are then required to estimate the height of the upper observation platform using the formula;

$d=\frac{5}{6}\sqrt{h}$

Where d is the distance and h the height of the upper observation platform. The first step would be to solve for h, that is make h the subject of the formula in the above equation;

We multiply both sides of the equation by the reciprocal of 5/6 which is 6/5;

$\sqrt{h}=\frac{6}{5}d$

The next step is to eliminate the square root on the Left Hand Side of the equation by squaring both sides;

$h=1.44d^{2}$

Given d is 25.2, h becomes;

$h=1.44*25.2^{2}\\h=914.4576$

To the nearest whole number, h becomes 914

8 0

3 years ago

Read 2 more answers

Factor this trinomial 4x^2-6x-10 If you can please try to show me how to do it.

lilavasa [31]

Answer:

$=2(2x-5)(x+1)$

Step-by-step explanation:

So we have the trinomial:

$4x^2-6x-10$

First, factor out a 2:

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

Now, factor within the parentheses.

To do so, we want to find two numbers. When multiplied, these two numbers must equal (a)(c) and when added, they must equal b

(a)(c) is 2(-5) or -10 and b is -3. So, we want two numbers that when multiplied together gives -10 and when added gives -3.

-5 and 2 works. Therefore:

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

Replace -3x with 2x and -5x:

$=2(2x^2+2x-5x-5)$

Factor out a 2x for the first two terms. And factor out a negative 5 for the remaining two:

$=2(2x(x+1)-5(x+1))$

Grouping:

$=2(2x-5)(x+1)$

And we're done!

8 0

3 years ago

The costs of different weights of onions sold at a grocery store are shown in the table

lana66690 [7]

Answer:

<h2>Independent variable: Weight of Onions.</h2><h2>Dependent variable: Total Cost.</h2>

Step-by-step explanation:

The given table is about the weight of onions in pounds and the total cost.

If you think this through, you would notice that the total cost depends on the number of pounds of onions. That means the independent variable is Weight of Onions and the dependent variable is the Total Cost.

So, to put it in a sentence: The weight of onions determines the total cost.

8 0

3 years ago

Read 2 more answers

after allowing 30% discount on the marked price of an article,there is a profit of 10% . if the cost price is 1500 find the mark

GenaCL600 [577]

Answer:

2357.14

Step-by-step explanation:

x - .30x = 1500(1.10)

.7x = 1650

x = 2357.14

7 0

3 years ago

7x+3y=7/6<br> Y=6x-1<br> Use the method of substitution to solve

jeka94

Answer:

X=1/6 Y=0

Step-by-step explanation:

If Y= 6x-1, substitute Y on the first equation

7x+3(6x-1)=7/6

7x+18x-3=7/6

25x=(7/6)+3

25x=25/6

x=1/6

Then substitute X on the second equation

Y=6(1/6)-1

Y=0

5 0

3 years ago

Read 2 more answers