a.
In the following function defined by an equation in the form y = ax^2+bx+c, identify the values of a, b, and c.
y = 5x^2 + 2x - 1
a = -1, b = 2,c = 5
b. a = -2,b = 5.c - 1
c. a = 1, b = 5,c = 2
d. a =5, b = 2, c = -1

Answer:

  (a) 10

  (b) -3 3/4

  (c) -4/3

Step-by-step explanation:

Function values can be found by direct substitution of the argument into the function expression. Inverse function values can be found by solving the function equation for the variable value.

f(-2)= 3(-2)² -2 = 12 -2

f(-2) = 10

__

g^-1(-3/4)

-3/4 = x +3

-3 3/4 = x . . . . . . subtract 3

__

Substitute the expressions as required and solve for x.

  f(g(x)) = g(f(x))

  f(x+3) = g(3x² -2)

  3(x +3)² -2 = (3x² -2) +3

  3(x²2 +6x +9) -2 = 3x² +1

  3x² +18x +25 = 3x² +1

  18x = -24

  x = -24/18 = -4/3

_____

Additional comment

When solving an equation graphically, we like to write it in the form h(x) = 0 when possible. The graphing calculator easily identifies x-intercepts. This form makes each solution an x-intercept.

  f(g(x)) = g(f(x))   ⇔   f(g(x)) -g(f(x)) = 0

__

The value of the inverse function can be found similarly. We want to find x such that g(x) = -3/4, so we can look for the solution to g(x) +3/4 = 0.

Answer:

3840

Step-by-step explanation:

1.12 times 25 is 28

1.28 times 3000

Step-by-step explanation:

A is excluded because in the second() x² should be negative

B is excluded because if you solve it -(-x² give you + x²

C is excluded because in the second() 2x and 1 should be negative

so D is right

Answers are in bold.

22. b/c

24. sqrt(17)/17

26. 1/4

28. sqrt(17)/17

30. 1/2

32. sqrt(2)/2

34. sqrt(3)/2

36. Approximately 5.4077 units

=====================================================

Explanation:

Problem 22

To get the cosine ratio, we divide the adjacent over hypotenuse.

cos(angle) = adjacent/hypotenuse

cos(x) = b/c

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

Problem 24

To get the sine ratio, we divide opposite over hypotenuse.

[tex]\sin\left(\text{angle}\right) = \frac{\text{opposite}}{\text{hypotenuse}}\\\\\sin\left(\text{x}\right) = \frac{2}{2\sqrt{17}}\\\\\sin\left(\text{x}\right) = \frac{1}{\sqrt{17}}\\\\\sin\left(\text{x}\right) = \frac{1*\sqrt{17}}{\sqrt{17}*\sqrt{17}}\\\\\sin\left(\text{x}\right) = \boldsymbol{\frac{\sqrt{17}}{17}}\\\\[/tex]

In the fourth step, I multiplied top and bottom by sqrt(17) to rationalize the denominator.

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

Problem 26

tan(angle) = opposite/adjacent

tan(x) = 2/8

tan(x) = 1/4

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

Problem 28

cos(y) = sin(x) in this case. The general rule is that sin(A) = cos(B) if and only if A+B = 90.

Therefore the answer is exactly identical to problem 24.

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

Problem 30

sin(30) = 1/2 is something you either memorize or look up on a reference chart, or use the unit circle. Alternatively, you can use a 30-60-90 triangle template.

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Problem 32

[tex]\sin\left(45^{\circ}\right) = \boldsymbol{\frac{\sqrt{2}}{2}}\\\\[/tex] is something you memorize or have on a reference sheet. You could also use a 45-45-90 triangle.

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Problem 34

[tex]\cos\left(30^{\circ}\right) = \boldsymbol{\frac{\sqrt{3}}{2}}\\\\[/tex] is similar to problems 30 and 32 in that you should memorize this or have it on a reference sheet. You could use a 30-60-90 triangle template here.

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Problem 36

Let x be the length of side AC.

Use the tangent ratio to find x.

tan(angle) = opposite/adjacent

tan(B) = AC/AB

tan(31) = x/9

x = 9*tan(31)

x = 5.4077 approximately

Answer:

210

Step-by-step explanation:

The mean=210

When your doing mean next time this is how you do it. you add up all the numbers so 210 225 206 214 180 and 225. The you divide by the total of numbers so there are a total of 6 numbers.

When you add up all these numbers it has a total amount of 1,260.

so what is 1,260 divided by 6? It=210.

Would you like to also know mode median and range.

Median=212
When you do median you sort the list of numbers least to greatest and the middle number is median now since there are an even amount of numbers you would use 3 and 4 since were on 6 and do the middle between them 2 so 210 and 214.

The middle number between them is 212 and that's your answer,

Mode=All the numbers above and for the list of numbers here,all the numbers appear the same amount of times because dealing with mode,mode is the number or numbers that appears most in the data set,and for this one they all appear once.

Range=45

Range is the highest number-the lowest number so 225-180=45.

Minimum is 180 because minimum is the lowest number in the data set.

Maximum is 225 because maximum is the highest number in the data set.

Hope it helps have a great day:)

Answer:

Step-by-step explanation:

Answer:

Step-by-step explanation:

While plotting the plotting the point remember to start from origin.

J(5, 10)

Move right 5, then up 10

I (1,9)

Move right 1, then up 9

H(6, -9)

Move right 6, then down 9

G(-6, 8)

Move left 6, then up 8

F(9, 0)

Move right 9

E(-6, 0)

Move left 6

D(-8, -4)

Move left 8, then down 4

C(5, 0)

Move right 5

B(-1, -1)

Move left 1, then down 1

A(-8, -1)

Move left 8, then down 1

Answer:

(-2,11) (0,3) (2,-5) (4,-13)

Step-by-step explanation:

used desmos calculator

tan 47 = (side opposite the angle that is 47 degrees) / (side beside angle that is 47 degrees)

tan 47 = x/15

x = 15*tan47 = 16.09

Hope that helps!

Answer:

12cmt^{12}

Step-by-step explanation:

Answer:

the actual profit after working expenses not included in the calculation of gross profit have been paid.

Step-by-step explanation:

To calculate the net profit figure, subtract the total expenses from the total revenue, as seen in the following equation: Net profit = Total Revenue - Total Expenses. In this equation, revenue represents the total amount of money earned from product sales in addition to income from other places, including investments.

Answer:

(-3, 1, 2, 6, 7)

Step-by-step explanation:

coordinates work like (x,y)

range is the y values

domain is the x values

Half of its original value=

[tex]\frac{1350}{2} \\ =675[/tex]

Years for the television set to be worth half of its original value=

[tex]\frac{675}{2}\\ =4.0909...[/tex]

≈ 4.1

Answer: B, D

Step-by-step explanation:

A parallelogram is a quadrilateral with 2 pairs of parallel sides, so if there are no parallel sides, it can't be a paralellogram.

D is true by the definition of a parallelogram.

Answer:

1.75 bags of dog food.

Step-by-step explanation:

7/4 = 1.75

Each dog gets 1.75 bags of dog food.

Have a great day!

Please rate and mark brainliest!

The formula for acceleration is final speed - initial speed/time.

26 - 18 = 8

8/15= .533 m/s

8 tons = 16000 pounds

conversion:

1 tons ➟ 2000 pounds

8 tons ➟ (2000 * 8) pounds

8 tons ➟ 16000 pounds   ⚡⚡

The amount 8 tons in pounds can be written as 16, 000 pounds.

To convert 8 tons to pounds,

we need to know that 1 ton is equal to 2,000 pounds.

We know that when a smaller unit converted to big unit then we have to multiply.

So, the conversion of 8 tons to pounds

= 8 tons x 2,000 pounds/ton

= 16,000 pounds

Thus, the amount 8 tons in pounds can be written as 16, 000 pounds.

Learn more about Unit Conversion here:

https://brainly.com/question/14523259

#SPJ6

Answer:

y = -3x² - 3x + 6

Step-by-step explanation:

main formula: r×(x² - (a + b)x + ab) = y

r×(x² - (-2 + 1)x -2×1) =y

r×(x² +x -2) = y

by using the point (0,6) →

r×(0² + 0 -2) = 6

r×-2 = 6

r= -3

so

y= -3x² -3x +6

Answer:

No

Step-by-step explanation:

Given the following question

In order to prove if three lengths can create a triangle two of the three sides added together HAS to be greater than the third side.

[tex]a+b > c[/tex]
[tex]1+10=11[/tex]
[tex]11 < 20[/tex]

Which means your answer is "no," the given sides cannot create a triangle for they do not pass the Triangle Inequality Theorem.

Hope this helps.

Solution:

We know that:

Verification:

Conclusion:

The given side lengths cannot be a triangle.

Answer:

length and width of the photo are: w = 6cm l = 8cm

Step-by-step explanation:

Area = 168cm^2

Area = w • l

168 = (x + 3 + 3) • (x + 2 + 3 + 3)

168 = (x + 6) • (x + 8)

expand

168 = x^2 + 14x + 48

subtract 168 from both sides

0 = x^2 + 14x - 120

simplify

0 = (x - 6) • (x + 20)

x = 6 or -20

since we are dealing with a measurement of a physical object x > 0

x = 6cm

w = x = 6cm

l = x+2 = 8cm

Answer:

Convert 0.16 Kilometers to Meters (km to m) with our conversion calculator and conversion tables. To convert 0.16 km to m use direct conversion formula below.

0.16 km = 160 m.

You also can convert 0.16 Kilometers to other Length (popular) units.

Step-by-step explanation:

hope this helps~

Answer:

label a graph doing -5,-8, and 4,4  use the formula which is

d = ( x 2 − x 1 )^2 + ( y 2 − y 1 )^2

 x2-x1 = 4–2= 2 Y2–Y1 = 1–3 = -2 d=√(2)^2+(-2)^2 =√4+4 = √8 d= 2√2

so this is the same thing the person above me did but I've been typing this out so long I want to go ahead and submit anyway

Answer:

460,000 is answer

ok

Step-by-step explanation:

mark brainleat

Answer:

A. 6

Step-by-step explanation:

a^2+b^2= c^2

a^2+64=100

a^2=36

a= square root of 36

= 6

Hello.

We have a point that the line passes through:

[tex]\mathrm{(-5,-1)}[/tex]

We also have the line's slope:

[tex]\mathrm{4}[/tex]

Right now, we do not have enough information to write the equation of the line in slope-intercept form. We need to know the slope and the y-intercept. We do know the slope, but we do not know the y-intercept...yet.

We do have enough information to write the line's equation in Point-Slope Form:

[tex]\mathrm{y-y1=m(x-x1)}[/tex]

Plug in the values:

[tex]\mathrm{y-(-1)=4(x-(-5)}[/tex]

[tex]\mathrm{y+1=4(x+5)}[/tex]

Use the Distributive Property (a(b+c)=ab+ac) :

[tex]\mathrm{y+1=4x+20}[/tex]

Move 1 to the right:

[tex]\mathrm{y=4x+20-1}[/tex]

Subtract:

[tex]\mathrm{y=4x+19}[/tex]

Now we have the equation in slope-intercept form.

Therefore, the answer is

[tex]\mathrm{y=4x+19}[/tex]

I hope it helps.

Have a nice day.

[tex]\boxed{imperturbability}[/tex]

Answer:

[tex]\displaystyle y = 4x + 19[/tex]

Step-by-step explanation:

Plug the information into the Slope-Intercept Formula like so:

[tex]\displaystyle y = mx + b \\ \\ -1 = 4[-5] + b \hookrightarrow -1 = -20 + b; 19 = b \\ \\ \\ \boxed{y = 4x + 19}[/tex]

I am joyous to assist you at any time.

Answer:

AC.

Step-by-step explanation:

AC as you can see line AC is going through point F making a diameter.

hope this helps you

have a great day

Answer:

yes

no

no

no

.............