Which is f(-3) for quadratic function graphed

Answers

Answer 1

Answer:

At f(-3) the graph is equal to -9.

In order to find the point on the graph, move over to -3 on the x axis. Then move down to find the point where it hits the parabola. You'll see that the parabola hits at point (-3, -9).

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If 10% equals $50 how much is 25%

Answers

It is 125 dollars because if 10% is 50 you take of 10% of the 25% and then you get 100 and you 25 and that is all

Steps:
1) 50 / .1 = 500
2) 500 * .25 = 125
Answer = 125

Sketch the quadratic function f(x) = x2 + 4x + 3. Which key feature of the graph is given incorrectly?A) minimum (-2, -1)
B) y-intercept (0, 2)
Eliminate
C) x-intercept (-3, 0)
D) x-intercept (-1, 0)

Answers

Answer:

Step-by-step explanation:

x-intercepts:

factor the function

f(x)=(x+3)(x+1)

zeros at x=-3,-1

x-intercepts --> (-3,0),(-1,0)

y-intercepts:

set x=0 in f(x)

f(0)=(0)^2+4(0)+3=3

y-intercept --> (0,3)

find minimums and maximums

The max or min of a quadratic function occurs at x=-b/(2a). If a is negative, the max value of the function is f(-b/(2a)). if a is positive, the minimum value of the function is f(-b/(2a)).

f(x)=ax^2+bx+c

f(x)=x^2+4x+3

here a is positive so you are looking for a minimum,

x=-b/(2a)

x=-4/(2*1)

x=-2 ----> plug into f(x), f(-2)=(-2)^2+4(-2)+3=-1

minimum (-2,-1)

Answer:B

Step-by-step explanation:

PLEASE HELP 20 POINTS!The sum of the x- and y-intercepts of the graph of 5x+3y = k is 32 5. Find the length of the line segment joining the x- and y-intercepts.

Thank you so much!
I literally have no idea how to do this.

Answers

Sure you do.

What is the x-intercept ? It's the point where the graph crosses the x-axis.
But y=0 at every point on the x-axis ! So the x-intercept is the point where

5x + 3(0) = k
5x = k
x = 0.2 k

Similarly ... What is the y-intercept ? It's the point where the graph crosses the
y-axis. But x=0 at every point on the y-axis ! So the y-intercept is the point where

5(0) + 3y = k
3y = k
y = k/3

The sum of the x- and y-intercepts is 32.5 .
0.2k + k/3 = 32.5
Multiply each side by 5 :
k + 5k/3 = 162.5
Multiply each side by 3 :
3k + 5k = 487.5
8k = 487.5
Divide each side by 8 :
k = 60.9375

The x-intercept is (0.2k, 0) = the point (12.1875, 0) .

The y-intercept is (0, k/3) = the point (0, 20.3125) .

Those are the two points. Now it wants you to find the distance between them.
Do you remember how to find the distance between 2 points ?

Find the (difference of their x-values) and square it.
Find the (difference of their y-values) and square it.
Add the two squares together.
Take the square root of the sum.
That's the distance between the points.

(12.1875)² + (20.3125)² = the square of the distance.

If you don't get 23.688 for the distance, then check your arithmetic.

How to show your work for 9 divided by 2.43

Answers

Answer:

3.70

Step-by-step explanation:

9 divided by 2.43

To divide decimal numbers we need to remove the decimal point

$(9)/(2.43) =(9 \ times \ 100)/(2.43 \ times \ 100) =(900)/(243)$

Now use long division to divide the numbers

3.70370

--------------------------------

243 900

729

---------------------------(subtract)

1710 (add decimal point at top)

1701

---------------------------

900 (add 0 at top)

729

---------------------------(subtract)

1710 (add decimal point at top)

1701

---------------------------

So answer is 3.70

Just do normal division, just like ignore the decimal point. for a moment once you got your answer bring back the decimal point back up to your answer. You would get 0.27 as your answer.

Simplify using Order of Operations:
10 - 3 x 2/1+1

Answers

The simplified form of 10 - 3 x 2/1+1 is 5. This is obtained by applying the order of operations in mathematics, which first executes multiplication and division from left to right then does addition and subtraction from left to right.

To simplify the expression 10 - 3 x 2/1 + 1 using the Order of Operations (PEMDAS/BODMAS), we follow these steps:

1. Parentheses/Brackets (None): There are no parentheses in the expression.

2. Exponents/Orders (None): There are no exponents.

3. Multiplication and Division (Left to Right): Multiply 3 by 2, which equals 6.

4. Addition and Subtraction (Left to Right): Now, perform the remaining operations from left to right: 10 - 6 + 1.

Now, solve the expression step by step:

1. 10 - 6 = 4

2. 4 + 1 = 5

So, the final answer is 5.

The given expression, 10 - 3 x 2/1 + 1, is simplified using the Order of Operations (PEMDAS/BODMAS). First, we perform multiplication and division from left to right. We multiply 3 by 2, resulting in 6. Then, we move on to addition and subtraction. Subtracting 6 from 10 gives us 4. Finally, we add 1 to 4, resulting in the final answer, which is 5.

The Order of Operations is crucial in mathematics to ensure that expressions are evaluated consistently and correctly. It helps us avoid ambiguity and ensures that mathematical operations are carried out in the correct sequence. In this case, following the order of operations leads us to the correct simplified answer of 5.

Learn more about Order of Operations here:

brainly.com/question/30553381

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Answer: the answer is 5

Step-by-step explanation:

first you would multiply 3 x 2 = 6. then you would divide 6 by 1 and get 6. You then take 10-6+1 and it equals 5.

How do I solve for d if d/M-3=R