Given that the zeros of a quadratic function are −2 and −5, what is the standard form of the quadratic function? A) f(x) = x2 + 5x + 10 B) f(x) = x2 + 7x + 10 C) f(x) = x2 − 5x + 10 D) f(x) = x2 − 7x + 10

Answers

Answer 1

Step-by-step explanation:

x = -2 and x = -5

x + 2 = 0 and x + 5 = 0

(x + 2)(x + 5) = 0

x² + 5x + 2x + 10 = 0

x² + 7x + 10 = 0

f(x) = x² + 7x + 10

Answer 2

The  quadratic equation is x² + 7x + 10.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

We have the zeroes of Quadratic Equation as -2 and -5.

So, the factors of the equation is (x +2 ) and (x + 5).

Then, the Quadratic equation is

= (x+5)(x+2)

= x² + 5x +2x + 10

= x² + 7x + 10

Thus, the quadratic equation is x² + 7x + 10.

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Related Questions

If a local tax rate is 4% and you are taxed on your $6000 purchase,
1)what is the tax?
2)What will final bill be?

Answers

Answer: Tax(240), Total cost(6240)

Step-by-step explanation:

6000 x .04 =240

240 +6000 = 6240

x- (2x + 1) = 8- (3x + 3)

Answers

Answer:

x = 3

Step-by-step explanation:

x- (2x + 1) = 8- (3x + 3)

x - 2x - 1 = 8 - 3x - 3

x - 2x + 3x = 8 - 3 + 1

2x = 6

x = 6/2 = 3

(7.9×108)–(7.53×108)
put in scientfic notation

Answers

Answer:

3.996x10

Step-by-step explanation:

7.9x108 = 853.2

7.53×108 = 813.24

853.2-813.24=39.96

not sure how many sig figs there are supposed to be though

3.996x10 has 4 sig figs

1) 6p + 12 - 2 = 8p + 4​

Answers

☆Answer :

6p + 12 - 2 = 8p + 4

6p + 10 = 8p + 4

6p - 8p = 4 - 10

-2p = -6

2p = 6

p = 3

Answer:

p = 3

Step-by-step explanation:

First, simplify. Combine like terms. Like terms are terms with the same variable as well as same amount of said variable:

6p + (12 - 2) = 8p + 4

6p + (10) = 8p + 4

Isolate the variable, p. Note the equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS. PEMDAS is the order of operations, and stands for:

Parenthesis

Exponents (& roots)

Multiplications

Divisions

Addition

Subtraction

First, subtract 8p and 10 from both sides of the equation:

6p (-8p) + 10 (-10) = 8p (-8p) + 4 (-10)

6p - 8p = 4 - 10

-2p = -6

Next, isolate the variable, p, by dividing -2 from both sides of the equations:

(-2p)/-2 = (-6)/-2

p = -6/-2

p = 3

3 is your answer.

~

Ayushi wanted to paint a wall of a room of dimensions 6 m × 5 m. It has a window of dimensions 2 m × 0.5 m and a door of dimensions 3 m × 1.5 m. What area of the wall is required to be painted by Ayushi?

Can you guys plz answer this??? ​​

Answers

Answer:

Required wall to be painted: 24.5 m²

Step-by-step explanation:

Wall dimensions: 6 m x 5 m

=> Wall dimensions: 30 m²

Area of window: 0.5 x 2

=> Area of window: 1 m²

Area of door: 3 m × 1.5 m

=> 4.5 m²

Required wall to be painted: 30 - 1 - 4.5

=> Required wall to be painted: 24.5 m²

Therefore, the required paint for the wall to be fully painted is 24.5 m². Hoped this helped.

help please i only have 10 mins left

Answers

Answer:

d.

took the test

Step-by-step explanation:

Please help me with this question.

Answers

Answer:

The answer would be 6.66666666667 to be exact or just 6.66.

-Herobrine

Brainliest will be appreciated thank you!

Answer:

6.6 or 6.66

Step-by-step explanation:

In 1993, the moose population in a park was measured to be 4650. By 1998, the population was measured
again to be 4100. If the population continues to change linearly:
A.) Find a formula for the moose population, P, in terms of t, the years since 1990.
P(t) =
B.) What does your model predict the moose population to be in 2006?

Answers

Answer:

Here plz give brainliest not easy to explain in detail like this

Step-by-step explanation:

We will consider x on the graph to be years since 1990 and y on the graph to be the number of Moose.

We have two points on the graph:  (4, 4290) and (8, 3850)

Using the slope formula (m = [y2 - y1]/[x2 - x1]), we can find the slope of this line:

m = (y2 - y1)/(x2 - x1)                 Slope formula

m = (3850 - 4290)/(8 - 4)          Substitution

m = -440/4                               Solve the subtraction problems in the parenthesis

m = -110                                  Reduce the fraction

Now that we have the slope of the line, we can use the point-slope formula (y - y1 = m[x - x1]) to find the equation for the line.  I will use the first point, but either point will produce the same answer.

y - y1 = m(x - x1)                                     Point-slop e formula

y - 4290 = -110(x - 4)                              Substitution

y - 4290 = -110x + 440                            Distribute the -110

y - 4290 + 4290 = -110x + 440 + 4290      Add 4290 to each side

y = -110x + 4730                                     Simplify

Since the formula that is being sought is supposed to be interms of P and t, I will replace y with P and x with t.

P(t) = -110t + 4730

To predict the population in 2006, we need to determine the years from 1990 to 2006.

2006 - 1990 = 16

P(16) = -110 (16) + 4730

P(16) = -1760 + 4730

P(16) = 2970

If f(1) = 5 and f(n) = 4f(n − 1) - 2 then find the value of f(5).​

Answers

Hi,

This is the same situation as a sequence case.

You have two informations :

[tex]\left \{ {{f(1)=5} \atop {f(n)=4f(n-1)-2}} \right.[/tex]

You need to solve this rank by rank for n = 1, 2, 3, 4 and 5.

We already have f(n) for n = 1 : it is f(1) = 5.

n = 2 :

f(2) = 4 * f(2-1) - 2 = 4 * f(1) - 2 = 4 * 5 - 2 = 20 - 2 = 18 because f(1) = 5

n=3 :

f(3) = 4 * f(3-1) -2 = 4 * f(2) -2 = 4 * 18 -2 = 72 - 2 = 70

n = 4 :

f(4) = 4 * f(4-1) -2 = 4* f(3) - 2 = 4* 70 - 2 = 280 - 2 = 278

n = 5 :

f(5) = 4 * f(5-1) - 2 = 4*f(4) - 2 = 4 * 278 - 2 = 1112 - 2 = 1110

so f(5) = 1110

Good Luck

Please solve for x. Possible answers are A. 3 B. 10 C. 28

Answers

Answer:

x=28

Step-by-step explanation:

So first slove for the right angle triangle

a²+b²=c²

a=12 and c=15

12²+b²=15²

144+b²=225

b²=225-144

b²=81

b=√81

b=9

so now that you know the top two sides add 10 due to the lenght given on the bottom

9+10+9=28

On a certain hot​ summer's day, 294 people used the public swimming pool. The daily prices are for $1.75 children and for $2.25 adults. The receipts for admission totaled $635.50 How many children and how many adults swam at the public pool that​ day?

Answers

Answer:

a = 242  adult and  c = 52 children

Step-by-step explanation:

Solving as a system of equations.

a = adult

c = children

The adult and the children equal 294 people

  a + c = 294

adult cost is 2.25 per adult

Total amount of adult is 2.25a because the number of adult are not given.

children cost is 1.75 per children

Total  amount children is 1.75c because the number of children  are not given

Total receipts $635.50.

a + c = 294                         multiply by -1.75           -1.75a - 1.75c = - 514.50

2.25a + 1.75c = 635.50     does not change           2.25a + 1.75c =  635.50

Add these equations together

-1.75a - 1.75c = - 514.50

2.25a + 1.75c =  635.50    

.50a              =   121.00

   a = 121.00/.50a

   a = 242  adult

a + c = 294

242 + c = 294

         c = 294 - 242

          c = 52 children

Check:    $2.25(242) + $1.75( 52) = $635 .50

              $544.50 + $91.00 =  $635.50

                   $635.50 = $635.50


[tex] {i}^{3} find \:value \: in \: complex \: number \: [/tex]
help me please reply with quickly​

Answers

Their is not picture please upload one

jerry has 3,572 live chickens in his poultry farm.if there are 38 boxes , how many chickens must go in each box?

Answers

Answer: 94 live chickens go in each box.

Step-by-step explanation:     3,572 divided by 38 = 94 so 94 live chickens go in each box.

hope this helps :)

 

The length of the fence is 12 1/2 feet and the width of the fence is 10 3/4 determine the perimeter

Answers

Answer:

46 1/2 feet

Step-by-step explanation:

Perimeter is defined as 2 × length + 2 × width which is 12.5 × 2 + 10.75 × 2 which works out to 46 1/2 or 46.5 feet which is the answer.

The perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

What is Area of Rectangle?

The area of Rectangle is length times of width.

Given,

The length of the fence is  [tex]12\frac{1}{2}[/tex] feet

[tex]12\frac{1}{2}[/tex] is changed to improper fraction 25/2

the width of the fence is [tex]10\frac{3}{4}[/tex]

[tex]10\frac{3}{4}[/tex]  is changed to improper fraction 43/4

Now we know that perimeter of rectangle =2(Length+width)

=2(25/2+43/4)

LCM of 2 and 4 is 4

=2(50+43)/4

=93/2

=46.5

Hence the perimeter of rectangle with length of the fence is [tex]12\frac{1}{2}[/tex] feet and the width of the fence is [tex]10\frac{3}{4}[/tex] is 46.5 feet.

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Please help asap!! Thanks:) and please don’t answer just for points

Answers

Answer:

68 ft^2

Step-by-step explanation:

Find the area of the large rectangle as if the piece were there

A = l*w

A = 6 * 14

A =84

Subtract the area of the square that is missing

A = 4*4 = 16

84 - 16 =68

The area of the figure is 68 ft^2

Consider the graph shown below.

What are the coordinates of point C after a dilation with a scale factor of 5,centered at the origin

Answers

Answer:

10,5

Step-by-step explanation:

After a dilation of 5, it should become 10 and 5 because it was 2,1 before.

is 3/4 greater than 1? i need help please

Answers

No it is not. 3/4 as a decimal is 0.75, thus making it less than 1.

Answer:

No.

Step-by-step explanation:

3/4 = 0.75.

=> 0.75 < 1

Hoped this helped.

What is the answer of this question please reply!

0.00536 by 25​

Answers

Answer:

0.134

Step-by-step explanation:

"By" means multiplied by, so the question is, what's 0.00536 multiplied by 25?

In the first step, we multiply all the numbers in the decimal by 5, and we get 0.02680. In the second, we multiply all the numbers in the decimal by 20, and we get 0.10720. Then we add the two together and get 0.134.

I hope that helped :)

PLZ HELP ASAP! I GIVE BRAINLIEST AND POINTS!
please dont post links

Find the value of the monomial.
5x^3 for x = 0.5

Answers

Answer:

⁵/₈

Step-by-step explanation:

x = 0.5

5x³ = 5(¹/₂)³

5x³ = 5(¹/₈)

5x³ = ⁵/₈

19+1=x
what does x equal?
(hint: it's math and common sense)

Answers

Answer:

X equals 20

Step-by-step explanation:

19+1=x rearranged is X-19=1 and 20 minus 19 is 1 therefore 20 is the value of X.

Answer:

x = 20

Step-by-step explanation:

19 + 1 = 20

Two tins are geometrically similar, if the ratio of there volume is 27:64, find the ratio of the curved surface areas​

Answers

Answer:

9:16.

Step-by-step explanation

The scale factor is  ∛27:∛64

= 3:4.

So the ratio of the curved areas = 3^2:4^2

= 9:16.

plz help I need answer asap! ​

Answers

Answer:

x=2.4

Step-by-step explanation:

for this one we find the scale factor you can pick any two similar points i picked 3 and 1.8 i did 1.8/3 and found the scale factor is .6 so x= ML or 4 * .6 (our scale factor) which gives x=2.4

Answer:

x=2.4

Step-by-step explanation:

This is simple! If you know how to find scale factor then then problem is a breeze.

Look at side JK and side PQ. To find the scale divide 3 by 1.8 This gives you 1.66666666667. We don’t want this long number but we can work with it :3

Now to find that missing side= x

4 / 1.66666666667= 2.4

x=2.4

( pssstt! This “/“ means division ;-)

hope this helped :D

y=6x-4 y=4x+2 substitution pls help plsplslsl​

Answers

Answer:

Solve for the first variable in one of the equations, then substitute the result into the other equation.

Point Form:  ( 3 , 14 )

Equation Form:  x  =  3 , y  =  14

Step-by-step explanation:

Ginger exercised for 5 1/2 hours in 6 days.
Each day she stretched for 1/4 hour and then walked. How long did she walk each day?

Answers

Answer:

45 minutes

Step-by-step explanation:

Saying she uses 0.25 of an hour to stretch everyday that mean she will take 0.75 of an hour to walk

[tex] \frac{4}{4} - \frac{1}{4} = \frac{3}{4} [/tex]

Then we need to calculate three-fourth of an hour to figure out how much time she spent walking.

[tex] \frac{3}{4} \times \frac{60}{1} = 3 \times 15 = 45 \: minutes[/tex]

Done.

Place numbers in bubbles so each row adds up to 100.
16,18,20,22,24,26,28,28,32,36

Answers

The numbers given can be placed in the bubbles in each row to sum up to 100 as shown in Figure 2 attached below. (See attachment).

The diagram (Figure 1) attached below shows the bubbles to be filled with the given numbers such that in each row, four of the numbers placed in the bubbles will add up to 100.

Hint:

Every row will have 4 numbers, 1 in each bubble which will give us 100.

The first row would be: 26 + 18 + 28 + 28 = 100The second row would be: 36 + 18 + 22 + 24 = 100

The rest of the arrangement is shown in the figure 2 attached below. (See attachment).

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Two types of binocular depth cues are __________ and __________. A. Motion parallax. . . Pictorial depth cues B. Convergence. . . Retinal disparity C. Motion parallax. . . Retinal disparity D. Convergence. . . Pictorial depth cues Please select the best answer from the choices provided A B C D.

Answers

B. Convergence… Reginal Disparity

Answer:

D. Convergence hope it helps

Suppose the voltage in an electrical circuit varies with time according to the formula V(t) = 40 sin(t) for t in the interval [0,].

The numerical value of the mean voltage in the circuit is

Answers

The numerical value of the mean voltage is 25.47 V

To find the numerical value of the mean voltage, V of V(t) = 40 sin(t), we integrate V(t) with respect to t over the interval [0.π]

So,

[tex]V = \frac{1}{\pi } \int\limits^\pi _0 {V(t)} \, dt \\V = \frac{1}{\pi } \int\limits^\pi _0 {40sint} \, dt \\V = \frac{1}{\pi } [-40cost]_{0}{\pi } \\V = \frac{1}{\pi } -[40cos\pi - 40cos0]\\\\V = \frac{1}{\pi } (-[40 X (-1) - 40 X 1})\\V = -\frac{1}{\pi } [-40 - 40]\\V = \frac{80}{\pi } \\V = 25.465 V[/tex]

V ≅ 25.47 V

So, the numerical value of the mean voltage is 25.47 V

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PLS HELP ME 20 points total

Answers

Answer:

b and f

Step-by-step explanation:

maths

Answer:

A) The point (1, 0.60) means that one pound of potatoes cost $0.60.

F) The point (40, 24) means that 40 pounds of potatoes cost $24.00.

Step-by-step explanation:

The given graph shows the linear relationship between the total cost and the number of pounds of potatoes.

In order to determine the total cost of potatoes per pound, use the following points on the graph:

Let (x₁, y₁) = (20, 12)

(x₂, y₂) = (25, 15)

Substitute these values into the following slope formula:

m = (y₂ - y₁)/(x₂ - x₁)

m = (15 - 12) / (25, 20)

m = 3/5

Therefore, the slope of the line is 3/5 or 0.60. This means that the total cost increases by $0.60 for every pound of potatoes.

Option A: Since we determined that the slope represents the change in total cost increases by $0.60 for every pound of potatoes. Multiplying the number of pounds by the cost per pound, $0.60, will give you the total cost of the potatoes. Thus, 1 pound of potatoes × $0.60 per pound = $0.60.

This matches the points described in Option A, thereby making it as one of the valid answers.

Option B) is incorrect because the total cost of 12 pounds of potatoes is $7.20. The given option states that $7.20 is the cost per pound of potatoes, which is false. The cost per pound of potatoes is $0.60.

Option C) Similar to Option B, 12 pounds of potatoes doesn't cost $20 per pound.

Option D) The descriptions of the coordinates, (25, 15) were mixed up: it should have been "25 pounds of potatoes cost $15." Hence, Option D is incorrect.

Option E) Similar to Option D, the descriptions of the coordinates, (30, 18) were mixed up: it should have been "30 pounds of potatoes cost $18." Hence, Option D is incorrect.

Option F) The point, (40, 24) appropriately represents the total cost of $24 for the 40 pounds of potatoes. Therefore, Option F is correct.

To reach his office on time, Mr Chin usually drives to work at an average speed of 75 km/h. However, if Mr Chin increases his average driving speed by 5 km/h, he will reach his office 10 minutes earlier. If the distance Mr Chin needs to travel to reach his office is represented by x km, form an equation in x and solve for x.

Answers

Answer:  x = 200 km

Step-by-step explanation:

Distance(x) = Speed(s) x Time(t)

t is in hours

x=s*t

At 75km/h:  75*t = x

At 80km/h:  80*(t-(10/60)) = x  [the -(10/60) is the 10 minutes saved, in hours]

We know the distance, x, is the same, so we can set these equal to each other:

75*t = 80*(t- (10/60))

75*t = 80*t - 13.3333

-5*t = -13.3333

t = 2 2/3 hours

Both situations should give the same distance with 2 2/3 and 2 2/3 - :

x = (75 km/hr) x ( 2 2/3 hr)= 200 km

x = (80 km/hr) x (2 2/3 - 1/6 hr) = 200 km

A small business reported a net loss of $45 in January and a gain of $55 in February. What is the company's net profit?

Answers

Gain - loss = profit
55- 45 = $10 net profit
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