Identify the value of c in the following quadratic function f (x) = -2x^2+ 3x – 4

Answer:

x = [tex]\frac{(a+b)}{2}[/tex]

[tex]y=\frac{a-b}{2}[/tex]

Step-by-step explanation:

System of equations has been given as,

x + y = a ----------(1)

x - y = b ---------(2)

By adding equation (1) and (2)

(x + y) + (x - y) = a + b

2x = a + b

x = [tex]\frac{(a+b)}{2}[/tex]

By substituting these values in equation (2),

x - y = b

[tex]\frac{a+b}{2}-y=b[/tex]

[tex]\frac{a+b}{2}-b=y[/tex]

[tex]\frac{a+b-2b}{2}=y[/tex]

[tex]\frac{a-b}{2}=y[/tex]

Question isn't well formatted, however. From what can be gathered form the question :

Options are given

Answer:

4(1.5 * 16.50) + (1.5 * 9.60)

$113.40

Step-by-step explanation:

Last year:

Cost of full page ad = $16.50

Cost of half page ad = $9.60

50% increase in ad price this year :

Price, this year :

Full page = 1.50 * 16. 50 = $24.75

Half page = 1.50 * $9.60 = $14.4

Expression :

4(1.5 * 16.50) + (1.5 * 9.60)

Cost of a 4 and 1/2 page ad :

Full page = 4 * $24.75 = $99

Half page = 1 * $14.4 = $14.40

Total cost = $(99 + 14.40) = $113.40

Answer:

x⁴

Step-by-step explanation:

-16/-4=4

a negative divided by a negative equals a positive

Answer:

1.32/100

Step-by-step explanation:

(1.32×100)/(1×100) = 132/100

It can be written as 132%= 132/100 or 132/100

4. To simplify 132/100 to its lowest terms, find LCM for the 132 and 100

4 is LCM for 132 and 100.

5. Divide numerator and denominator by 4

132/100=(132/4)/(100/4)=33/25.

33/25 is a simplest fraction for the decimal point number 1.32.

Answer:

132/100

Step-by-step explanation:

Answer:

125 cm^3

Step-by-step explanation:

Find THE volume of this cube of side length 5 cm:

Volume of a cube is V = s^3, where s is the side length.  

Here, V = (5 cm)^3 = 125 cm^3

Answer:$18

Step-by-step explanation:4 * 4 = $16. One pair of pants = $13. 16 + 13 = $29. 47 - 29 = $18

The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.

Rounding off means a number is made simpler by keeping its value intact but closer to the next number. It is done for whole numbers, and for decimals at various places of hundreds, tens, tenths, etc.

here, given that,

Round 245,675 to the nearest hundred thousand

we know,

Anything at or above 50 gets rounded up.

49 and below gets rounded down.

so, we get,

here, to the nearest hundred thousand means 675 > 500

so, it will be 5,675 => 6000

we have,

Rounding off 245,675 to the nearest hundred thousand is:

246000

Hence, The solution is, Rounding off 245,675 to the nearest hundred thousand is: 246000.

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Answer: The Answer is 72

Step-by-step explanation:

It is quite easy if you think about it.

first you must find the rule and the pattern.

Once you find that just multiply 18 by how much of a difference there is.

The difference is 4. You must add 4.

Answer:

35

Step-by-step explanation:

525/75=7x5=35

The ratio remains constant, then the number of children in Eric's school who has red hair in color will be 35.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

Eric knows that 5 out of every 75 children in his school have red hair. There are 525 children in Eric's school.

Then the number of the children in Eric's school who has red hair will be

Let x be the number of the children. Then we have

[tex]\rm \dfrac{x}{525} = \dfrac{5}{75}\\\\x \ \ \ = \dfrac{525 \times 5}{75}\\\\x \ \ \ = 35[/tex]

More about the ratio and the proportion link is given below.

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3 bottom sections:

10 x 20 = 200

5x 20 = 100

10 x 20 = 200

Bottom area = 200 + 200 + 100 = 500 square feet.

Short side: 3 x 20 = 60

Deep end wall : 6 x 20 = 120

Side wall : (24 x6) - (10x3) - (1/2 x 4x3) = 144-30-6 = 108

2 side walls: 108 x 2 = 216

Total area : 500 + 216 + 60 + 120 = 896 square feet

Divide total area by area of 1 gallon:

896/400 = 2.24 gallons

It will take 2.24 gallons of paint

Answer:

3

Step-by-step explanation:

Answer:

this is quite easy. just count the markings that are not in the 1 ounce or 2 ounce sections. in this problem, there are 5 bottles in total and 2 of them are either in the 1 ounce or 2 ounce section. this leaves 3 bottles. (also make sure you count the ones above and below the areas specified)

Answer:

90

Step-by-step explanation:

90/10= 9

90/5= 18

No number larger than 90 would work.

Answer:

this is easy. all you have to do is multiply the denominator (3) by the outside number (12) to get 36. this leaves the equation being x^2 = 36. now you just find the square route of 36 (which is 6).

Step-by-step explanation:

x^2/3 = 12

12 x 3 = 36

x^2 = 36

/36 = 6

x = 6

Step-by-step explanation:

explanation is on the picture

Answer:

3, 4, 5

5, 12, 13

Hope that helps! :)

-Aphrodite

Step-by-step explanation:

Answer:

you got it right

Step-by-step explanation:

you mathaway to get the answer

Answer:

18

Step-by-step explanation

10=12

must mean 5=6

12+6=18

15=18

18 dollars

he also has diabetes and drinks diet coke

Answer:

I SUCK AT WORD PROBLEMS TOOOO LOL

Step-by-step explanation:

Answer:

41

Step-by-step explanation:

A pair of consecutive numbers is written as: N and N + 1

(where the larger page number is N + 1)

And we know that the product of these numbers is 1640.

Then:

(N)*(N + 1) = 1640

Solving for N, we get:

N^2 + N = 1640

N^2 + N - 1640 = 0

This is a quadratic equation, remember that for a general quadratic equation:

a*x^2 + b*x + c = 0

The solutions are:

[tex]x = \frac{-b\pm \sqrt{b^2 - 4*a*c} }{2*a}[/tex]

In our case, the solutions are:

[tex]N = \frac{-1 \pm \sqrt{(1)^2 - 4*1*(-1640)} }{2} = \frac{1 \pm 81}{2}[/tex]

Then the two solutions are:

N = (-1 + 81)/2 = 40

N = (-1 - 81)/2 = -41

Because N represents the number on a page, it only can be a positive value, then we take the positive solution.

Then the two consecutive numbers, N and N + 1

are:

N = 40

N + 1 = 41

The value of the larger page number is 41.

Answer:

9

Step-by-step explanation:

Exterior sides =  180 - 140 = 40

number of sides = 360 / 40 = 9 sides

Answer:

3.6cm

Step-by-step explanation:

YZ = 10² - 6² = 8

sinX = 8/10 = 53.13º

cos 53.13º = XN/6

XN = 3.6cm

Answer:

[tex] \underline{ \underline{ \red{ \large {\tt{✧ G \: I \: V \: E \: N}}} }}: [/tex]

[tex] \underline{ \underline{ \purple{ \large{ \tt{✧ T \: O \: \: F\: I\: N\: D}}}}} : [/tex]

[tex] \underline{ \underline{ \pink{\large {\tt{✧ S \: O \: L \: U\: T\: I \: O\: N}}}} }: [/tex]

In rt. XYZ :

Using Pythagoras theorem:

[tex] \large{ \sf{p = \sqrt{ {h}^{2} - {b}^{2} } }}[/tex]

Plug the values & then simplify!

⇢ [tex] \large{ \sf{YZ = \sqrt{( {10)}^{2} - {(6)}^{2} } }}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{100 - 36}}}[/tex]

⇢ [tex] \large{ \sf{YZ = \sqrt{64}}} [/tex]

⇢ [tex] \large{ \sf{YZ = 8} \: cm} \: [/tex]

In rt. YNZ ,

Using Pythagoras theorem :

⇾ [tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {8}^{2} - {(10 - x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{ {(10)}^{2} - 2 \times 10 \times x + {(x)}^{2} \} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - \{100 - 20x + {x}^{2} \}}} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 64 - 100 + 20x - {x}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 20x - {x}^{2} - 36}} \longrightarrow \: eq (i)[/tex]

In rt. XYN ,

Using Pythagoras theorem :

[tex] \large{ \sf{ {p}^{2} = {h}^{2} - {b}^{2} }}[/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = {(6)}^{2} - {(x)}}}^{2} [/tex]

⇾ [tex] \large{ \sf{ {YN}^{2} = 36 - {x}^{2} \longrightarrow \: eq(ii) }}[/tex]

Now , From Equation ( i ) & Equation ( ii )

⤑ [tex] \large{ \sf{20x - {x}^{2} - 36 = 36 - {x}^{2} }}[/tex]

⤑ [tex] \large{ \sf{20x - \cancel{ {x}^{2} } - 36 = 36 - \cancel{ {x}^{2} }}}[/tex]

⤑ [tex] \large{ \sf{20x = 36 + 36}}[/tex]

⤑ [tex] \large{ \sf{20x = 72}}[/tex]

⤑ [tex] \large{ \sf{x = 3.6}}[/tex] cm

Hence, The length of XN is [tex] \large{ \boxed{\red{ \bold{ \tt{3.6 \: cm}}}}}[/tex]

[ Correct me if I am wrong ]

♨ Hope I helped! ♡

♪ Have a wonderful day / night ! ☃

☥ [tex] \underbrace{ \overbrace{{ \mathfrak{Carry \: On \: Learning}}}}[/tex] ✎

▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁▁

Answer:

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Answer:

1.) 5

2.) 6

3.) 2

4.) 2

5.) 2

6.) 5

Answer:

Andie spends $300   (Marisa spends 180)

Step-by-step explanation:

X= What Marisa spends

3------------5

X----------- x+120

CROSS MULTIPLICATION

5X = 3X+ 360

2X = 360

X = 180

     180+120 = 300

Andie spend $300.

A subfield of mathematics known as arithmetic operations deals with the study and application of numbers to all other subfields of mathematics. Operations like addition, subtraction, multiplication, and division make up the bulk of it.

These fundamental numerical activities (+, - , ×, and ÷) we use in our day to day existence. Arithmetic operations are used in every aspect of our lives, whether we need to figure out the annual budget or divide something equally among several people.

Given Marisa spend $3 and same time Andie spend $5,

let when Marisa spend $x,

spend of Andie = x + 120

spend of Marisa and Andie are in ratio and equal

3 / 5 = x/(x + 120)

3(x + 120) = 5x

3x + 360 = 5x

2x = 360

x = 180

spend of Andie = x + 120 = 180 + 120 = $300

Hence the spend is $300.

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Answer:

Are you saying look for the slope? because if so can help

Step-by-step explanation:

Answer:   (x − 3)2 +  y2 = 5

a. (x + 3)2 +  y2 = 5

b. (x − 3)2 +  y2 = 25

c. (x − 3)2 +  y2 = 5

d. (x + 5)2 + ( y + 1)2 = 25

Step-by-step explanation:

Begin by determining the length of the radius for the circle. A radius is a line segment from the center of the circle to any point on the circle. Find the length of the radius using the Distance Formula.

r= √(x2 − x1)2 + (y2 − y1)2

Substitute the given values for the center of the circle and the point on the circle into the distance formula and solve for r.

r= √( 5− 3)2 + (1 − 0)2

= √22 + 12

= √4 + 1

= √5

So, the length of the radius is √5 units.

The equation of a circle with center (h, k) and radius r is (x − h)2 + (y − k)2 = r2. Substitute the value for the radius and the coordinates of the center of the circle into the equation.

(x − 3)2 +(y − 0)2 = (√5)2

Simplify.

(x − 3)2 + y2 = 5                                                                                            Therefore, the equation of the circle B that passes through (5, 1) and has center (3, 0) is (x − 3)2 +y2 = 5.

Answer:

3.625

Step-by-step explanation:

ur welcome!

Answer:

1. y=2x-2

Because the slope is 2 over 1. and the y-intercept is at -2.

2. I think is y=1/5x-2

I think it's easier to not factor it, so we will be using formulas.

-b/2a=x

6/2=3=x

y=-25

(3,-25)

Answer:

the length— 6

width— is 9

Step-by-step explanation:

you said One side— 3m MORE

so we will consider the length Number as X

we will consider width As three plus X

- You want to know the Perimeter. So we have to

add.

— so the expression is 3+3+x+x+x+x = 30

it is then simplified to 6+4x= 30

then we should be able to find out the X  which is 6

when we substitute the values with dimensions, you will get

your final Answer

I hope This Helped!