Find the value of x.

The possible functions are

A. F(x)=2x^2-8x-42

B. F(x)=5x^2+20x-105

C. F(x)=x^2+4x-21

The zeros are given as:

x = -7 and x = 3

Rewrite as:

x +7 = 0 and x - 3 = 0

Multiply both zeros

(x + 7) * (x - 3) = 0 * 0

Evaluate the product

x^2 + 7x - 3x - 21 = 0

Evaluate the like terms

x^2 + 4x - 21 = 0

Express as a function

f(x) = a(x^2 + 4x - 21)

Where a is a constant

Let a = 1, 2 and  5 (according to the values in the options)

f(x) = 1 * (x^2 + 4x - 21) = x^2 + 4x - 21 --- option (c)

f(x) = 2 * (x^2 + 4x - 21) = 2x^2 + 8x - 42 --- option (a)

f(x) = 5 * (x^2 + 4x - 21) = 5x^2 + 20x - 105 --- option (b)

Hence, the possible functions are (a), (b) and (c)

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Answer:

the answer on 1. is correct

number 2. is -3 not 3

Answer:

Solution given:

x+8=-6

x=-6-8=-14

Answer:

X = -14

Step-by-step explanation:

Answer:

6/6

Step-by-step explanation:

if there are 6 children, and each of them are wearing a hat, that means there are six children wearing hats, out of the six children on the bus. so the answer would be 6/6.

All 6 childrens in the bus are wearing a hat.

An algebraic expression in mathematics is a combination of terms both constant and variable. For example, we can write the algebraic expressions as -

2x + 3y + 5

2z + y

x + 3y

Given is that there are 6 children on a bus. Each child is wearing a hat.

Total number of children in the bus = 6

Number of children wearing a hat = 6

Fraction of children wearing a hat -

n = (Number of children wearing a hat/Total number of children in the bus)

n = 6/6

n = 1

Therefore, all 6 childrens in the bus are wearing a hat.

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25°>>>>>>>>>>>>>>>>>>>>

Answer:

length= 6x

width= x

AREA= 135

solution

AREA = length times width

135 = 6x multiplied by x

135=6x^2

x^2 as subject of formula

x^2=135/6

x^2=22.5

square root both sides

x=4.74

width = 4.74

Answer:

9

Step-by-step explanation:

There are only [tex]3[/tex] hostel rooms with guests who are less than or equal to [tex]11[/tex], as shown by the bar graph, which indicates that the majority of rooms have [tex]11[/tex] and fewer visitors.

A visitor to your house or someone you have invited to a gathering, like a party or a dinner: dinner/wedding guests. A guest is another name for an individual who is a hotel guest.

A person who is the legitimate resident of a hotel room and whose address and name are shown in the registration kept by the hotel is referred to as a hotel guest.

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Answer:

Maximum height of the ball = 100 m

Time to reach the maximum height = 2.5 seconds

Step-by-step explanation:

Function that models the height h(t) of the ball and time 't',

h(t) = -16t² + 80t

Convert this equation into vertex form,

h(t) = -16(t²- 5t)

     = -16[t² - 2(2.5t) + (2.5)² - (2.5)²]

     = -16[[t² - 2(2.5t) + (2.5)²] + 16(2.5)²

     = -16(t - 2.5)² + 16(6.25)

     = -16(t - 2.5)² + 100

By comparing this equation with,

g(t) = a(x - h)² + k

Here, (h, k) is the vertex of the parabola.

Vertex of the given parabola will be → (2.5, 100)

Therefore, maximum height of the ball = 100 m

Time taken by the ball to reach the maximum height = 2.5 seconds

Answer:

g=-1

Step-by-step explanation:

3(g+4)=9

Divide both sides by 3.

g+4=  9/3

Divide 9 by 3 to get 3.

g+4=3

Subtract 4 from both sides.

g=3−4

Subtract 4 from 3 to get −1.

g=−1

Answer:

3(g+4)=9

or, 3(g+4)/3=9/3 [Dividing both sides by 3.]

or, g+4=3

or, g+4-4=3-4 [Subtracting 4 from both sides.]

So, g=-1

Answer:

RH = 8.2 units

Step-by-step explanation:

total circumference = 2rπ = 2(10)(3.14) = 62.8 units

RH = (47°/360°)(62.8) = 8.2 units

You should begin setup by 12 PM to setup 500 tables.

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given that, you have 6 people working to set up for tonight's banquet, and each person can set up 13 tables per hour.

So, in one hour total number of table can set up = 6×13

= 78

Number of hours = 500/78

= 6.41

≈ 6 hours

Therefore, you should begin setup by 12 PM to setup 500 tables.

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Answer:

180 miles/ 3 hours

Step-by-step explanation:

180 miles / 3 hours is the same as 60 miles per hour

240 miles /6 hours is the same as 45 miles per hour

90 miles / 2 hours is the same as 45 miles per hour as well

and 30 miles per hour just stays like that.

Therefore, 180 miles per  3 hours is the correct answer

Answer:

180/3

Step-by-step explanation:

Hope it helped you have a nice day!<3

Answer:

2.5 rounds to 3

Step-by-step explanation:

5 divided by (or 5/2) 2 is 2.5 and since its not a whole number you rounded by the ones and you get 3.

Answer:

#1: 5/8, #2: It is a right triangle, #3 $2: per square foot, #4: 300%

Step-by-step explanation:

#1: If you want the probability of drawing a non-red marble, you need to have the number of non-red marbles divided by the total number of marbles. Since it's a 3 to 5 ratio, and the 5 represents marbles that are white, not red, you can put 5/(5+3), or 5/8 as your answer.

#2: For this one, you need to use the pythagorean theorem, a rule that will be true if it's a right triangle, and false if it's not. It's A² + B² = C², where C is bigger than A and B. To apply this, you can plug 7² + 24² into a calculator, and see whether or not the answer is equal to 25² (which, in this case, it is, meaning that it is a right triangle.)

#3: The idea with this is cancelling out the units until you end up with the units you want. You know how 7897/7897 would still be equal to one, as anything divided by itself is still one? We can use that concept, because multiplying our original value by 1 won't change the value, just the units. Since 1 yard = 3 feet, we can do this: ($18)/(yard²) × (1 yard)/(3 feet) × (1 yard)/(3 feet) = $2/feet²

#4 This one I will use sample values for: let's say our rectangle has a length of 10 inches and a width of 20 inches. That means it's area will be L × W, that is, 10 × 20 = 200 inches². Now lets increase the dimensions by 100%. Our length would become 20 inches, and our width would become 40 inches. That makes L × W = 20 × 40 = 800 inches². Now, to see what percent increase that is from the original, we have to do (800 - 200)/200, that is, 3, or 300%.

Sorry I don't have time to do the last one, but might I suggest that you post the questions individually next time? I just think it might make people less scared to jump into solving one problem than five, so you might get answers sooner =)

Answer:

5.1 - 5.9= 0.8 SO reverse it and do 5.9 - 5.1 and still get 0.8

Hope this helps ヾ(•ω•`)o - Six

Answer:

when she subtracts 8x to 26 and dividing

Step-by-step explanation:

Step-by-step explanation:

[tex]8(x - 3) + 7 = 2x(4 - 17) \\ 8( \times - 3) + 7 = 2x( - 13) \\ 8x - 24 + 7 = - 26x \\ 8x - 17 = - 26x \\ - 17 = - 34x \\ x = \frac{1}{2} [/tex]

Answer:

Yes, it makes a triangle.

Step-by-step explanation:

When I used a measuring stick, it does create a triangle.  

Answer:

38.25+n=56.70

Step-by-step explanation:

23.20+15.05+n=56.70

38.25+n=56.70

Answer:

Maria has $18.45.

Explanation:

All three of them have $56.70 all together.

So you would want to add Lisa's amount with Kelly's amount to get how much they have together.

23.20 + 15.05 = 38.25

Then you take the amount of money Lisa and Kelly has together and subtract it from the total amount of money all three of them have together to get Maria's amount.

56.70 - 38.25 = 18.45

Maria has $18.45.

Check:

Add all three of there money amounts together and if you get $56.70 you got the right answer.

23.20 + 15.05 + 18.45 = 56.70

Answer:

220 ways.

Step-by-step explanation:

This can be gotten by using the formula of combination in statistics.

The formula for combination is given below

nCr = n! / r!(n - r)!, where

r = total number of object, and

n = number of objects we're choosing from

Applying this to the question we have

12C3 = 12! / 3!( 12 - 3)!

12C3 = 12! / 3! * 9!

12C3 = 220

Therefore, we can choose to pack the shirts in 220 different ways

Answer:

260

Step-by-step explanation:

cuz i got it right

Answer:

260°

Step by step explanation:

Khan academy:

Answer:

234

Step-by-step explanation:

.13 x 1800 = 234

Answer:

Step-by-step explanation:

Equation for this relationship:

Number of views in 5 weeks:

Answer:

10in by 5in

Step-by-step explanation:

PERIMETER: p=2(a+b) p=30

AREA: A=a×b A=50

2(a+b)=30

a×b=50

Answer:

The dimensions of the envelope are 5 by 10 inches.

Step-by-step explanation:

Perimeter formula for a rectangle:  P = 2W + 2L

Area formula           '    "          "         A = W*L

Here, P = 2W + 2L, so 30 in = 2W + 2L, or 15 in = W + L

Also, A = W*L, so 50 in^2 = W*L, or (if we solve this for W) W = (50 in)/L

But 15 = W + L, or 15 - L = W.  Substitute this result for W in the equation W = (50 in)/L:  

We get (50 in)/L = 15 - L

Multiplying both sides by L eliminates the fraction:

50 in = 15L - L^2, or

L^2 - 15L + 50 = 0

This factors into (L - 10)(L - 5) = 0, so L is either 10 or 5.  Because 15 - L = W, W is either 10 or 5.

The dimensions of the envelope are 5 by 10 inches.

Answer:

1:2

Step-by-step explanation:

Triangle = 3

Square = 6

3/3 = 1

6/3 = 2

1:2

Please Mark Brainiest

Answer:

i can np

Step-by-step explanation:

Answer:

16 meters

Step-by-step explanation:

5+3+5+3= 16 meters