A quadratic function is given as..... Which of the following is a zero of the function?

Hi there! :)

Answer:

[tex]\huge\boxed{D, x -4}[/tex]

---- Starting with: ----

x² - 10x + 24

Since we have a leading coefficient of 1, simply find two numbers that sum up to -10 and multiply into 24.

By guessing and checking, we get the numbers -6 and -4. Put these into factors:

(x - 6)(x - 4)

Therefore, a binomial present in factored form is D. x - 4

Answer:

c = -12

Step-by-step explanation:

Quadratic Standard Form: ax² + bx + c

Step 1: Write equation

3x² + 6x = 12

Step 2: Subtract 12 on both sides

3x² + 6x - 12 = 0

Here, we have the standard form of the quadratic. We see that our c = -12

Answer:

The sale this month = 79

Step-by-step explanation:

Let the amount he needs to sell this month = x

[tex]Average = \frac{sum\ of\ individual\ data\ }{number\ of\ entries}[/tex]

[tex]Average= \frac{90\ +\ 45\ +\ 103\ +\ 68\ +\ x}{5}[/tex]

Note that number of entries = number of months = 5

To maintain an average sales of 77, the amount of sale in month 5 is determined as follows:

[tex]77 = \frac{306\ +\ x}{5} \\cross-multiplying\\77\ \times\ 5\ = 306\ +\ x\\385 = 306\ +\ x\\x =385\ -\ 306\\x = 79[/tex]

Answer:

13.2

Step-by-step explanation:

Given

[tex]10x = 132[/tex]

Required

Determine the initial quantity

The interpretation of this question is to solve for the value of x

To start with:

[tex]10x = 132[/tex]

Divide both sides by 10

[tex]\frac{10x}{10} = \frac{132}{10}[/tex]

[tex]x = \frac{132}{10}[/tex]

[tex]x = 13.2[/tex]

Hence, the initial quantity is 13.2

Answer:

1.D

2.B

3.A

4.C

5.D

Step-by-step explanation:

Answer:

98.02

Step-by-step explanation:

Take 26 and multiply by 277%

26 * 277%

Change to decimal form

26 * 2.77

72.02

That is the amount of the increase

Now add it to the original amount

26+72.02

98.02

Answer:

98.02

Step-by-step explanation:

[tex]26 + 26 \times \frac{277}{100} \\ = 26 + 26 \times 2.77 \\ = 26 + 72.02 \\ = 98.02[/tex]

Question:

Daredevil Danny was cliff jumping. He jumped off a cliff that was 14.2 meters above the surface of the  water. At the end of his jump, Danny was 2.3 meters below the surface of the water.

The following equation describes this situation  14.2 + (-16,5) = -2.3 .

What does -16.5 tell us?

Answer:

The displacement between his current position and his initial position

Step-by-step explanation:

Given

[tex]Initial\ Position = 14.2m[/tex]

[tex]Final\ Position = -2.3m[/tex]

[tex]14.2 + (-16.5) = -2.3[/tex]

Required

What does -16.5 represents?

To understand this, we need to first calculate the displacement between his initial and final position

[tex]Displacement = Final\ Position - Initial\ Position[/tex]

[tex]Displacement = -2.3m - 14.2m[/tex]

[tex]Displacement = - 16.5m[/tex]

So: -16.5m is the total displacement from the start position (i.e. off the cliff) and current position (beneath the water surface)

Answer:

(-10,8)

Step-by-step explanation:

So our original point is (-6,9).

A translation of 4 units to the left means that the x-value would go left by 4. In other words, we subtract 4 to -6. We subtract because going to the left means that it's going to the negative direction.

A translation of down 1 unit means that the y-value would go down by 1. In other words, we subtract 1. Again, we subtract because going downwards means that it's going to the negative direction.

Therefore, the new point would be:

[tex](-6-4,9-1)\\=(-10,8)[/tex]

Answer:

(-10,8)

Step-by-step explanation:

I hope this helps

Answer:

-7+26i

Step-by-step explanation:

Use FOIL

2•4+2(3i)+5i•4+5i(3i)

Simplify by combining like terms for your answer

8+6i+20i-15

-7+26i

Answer:

B

Step-by-step explanation:

Let first number = x

Second number = y

Twice a number = 2*x = 2x

The sum of twice a number and another number is 24

2x + y  = 24    -----------------------(I)

The difference of twice the first number and the  other number is 12.

2x - y = 12 ----------------------(II)

Add equation (I) & (II)  and y will be eliminated and we can find the number 'x'

(I)       2x + y = 24

(II)      2x - y  = 12   {Now add the two equations}

          4x      = 36

Divide both sides by 4

4x/4 = 36/4

x = 9

Plug in the value of 'x' in equation (I)

2*9 + y = 24

 18 + y = 24

Subtract 18 from both sides

18 + y - 18 = 24 - 18

       y = 6

The numbers are 9, 6

Answer:

[tex]\bold{y=1.5\times 2^x+4}[/tex]

Step-by-step explanation:

Given:

Exponential function with common ratio 2.

Horizontal asymptote at y = 4

Passes through point (2, 10)

To find:

Equation of the exponential function ?

Solution:

Equation for an exponential function may be given as:

[tex]y=ab^x+c[/tex]

Where b is the common ratio and

c is the y value of horizontal asymptote.

[tex](x, y)[/tex] are the points on the function.

We are given that:

b = 2

c = 4

Let us put all the given values and find equation.

[tex]y=a\times 2^x+4[/tex]

Now, let us put [tex]x = 2, y = 10[/tex] to find the value of a.

[tex]10=a\times 2^2+4\\\Rightarrow a\times 2^2=10-4\\\Rightarrow a\times 4=6\\\Rightarrow a =1.5[/tex]

[tex]\therefore[/tex] the equation of exponential function is:

[tex]\bold{y=1.5\times 2^x+4}[/tex]

Answer:

418.2477796 m

Step-by-step explanation:

You divide it in to a rectangle and 2 half circles (which will make a whole circle if added together) and solve them.

P= 2( L + W) - - > 2 ( 102 + 60)= 324

Cf= 2лr^2 - - - > 2л(30)^2=30л

324 + 30л = 418.2477796 m

Answer:

[tex]\huge \boxed{{10x^2 + 12x \mathrm{\ units^2 }} }[/tex]

Step-by-step explanation:

area of shaded region = area of whole rectangle - area of unshaded region

Area of a rectangle is length × width.

A = 5x(3x+2) - (x(5x-2))

Expand brackets.

A = 15x² + 10x -(5x² - 2x)

Distribute negative sign.

A = 15x² + 10x - 5x² + 2x

Combine like terms.

A = 10x² + 12x

Step-by-step explanation:

Hey, there!!

Here,

3(2x-5)=25 is given.

To slolve: x

Now,

Multiply (2x-5) by 3.

6x-15 = 27.

Shift (-15) on right side.

6x= 27+15

or, 6x= 42

Divide 42 by 6.

[tex]x = \frac{42}{6} [/tex]

Therefore, x= 7.

Hope it helps....

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Hi my lil bunny!

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[tex]\boxed{x = 7}[/tex]

Let's solve your equation step-by-step.

[tex]3(2x-5)=27[/tex]

Step 1: Simplify both sides of the equation.

[tex]3(2x-5)=27[/tex]

[tex](3) (2x) + (3) (-5) = 27[/tex] (Distribute)

[tex]6x + -15 = 27[/tex]

[tex]6x - 15 = 27[/tex]

Step 2: Add 15 to both sides.

[tex]6x -15 + 15 = 27 + 15[/tex]

[tex]6x = 42[/tex]

Step 3: Divide both sides by 6.

[tex]\frac{6x}{6} = \frac{42}{6}[/tex]

[tex]x = 7[/tex]

❧⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯⎯☙

●✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎❀✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎✴︎●

Have a great day/night!

❀*May*❀

Answer: $184,080

Step-by-step explanation:

First multiply 18% by the original budget to find how much the 18% of the budget was .

18% * 156,000  = 28080

Now add  add 28080 to the original budget to find out how much she actually spent.

156,000 + 20,080 = 184,080

Answer:

y = 9/5

4th Option

Step-by-step explanation:

Step 1: Write out function f(y)

f(y) = 5y - 3

Step 2: Define variable from problem

f(y) = 6

Step 3: Replace variable

6 = 5y - 3

Step 4: Add 3 to both sides

9 = 5y

Step 5: Isolate y by dividing both sides by 5

y = 9/5

Answer:

200 > 100

Step-by-step explanation:

154 rounded to the nearest hundred is 200 because 154 is closer to 200 than to 100. and 145 is closer to 100 than it is to 200 so we have 200 and 100 and we know that 200 is greater than 100 so we can conclude with 200 > 100

Answer:

<NKJ

Step-by-step explanation:

Answer: 46 inches

Step-by-step explanation: 184/4= 46

Answer:

A. Width = 25   Length = 15

Step-by-step explanation:

Length = L = Width - 10

Width = W

Perimeter of a rectangle

=> 2 (L + B) = 80

=> 2 (W - 10 + W) = 80

=> 2 (2W - 10) = 80

=> 4W -20 = 80

=> 4W -20 + 20 = 80 + 20

=> 4W = 100

=> 4W/4 = 100/4

=> W = 25

Width = 25

Length = 25 - 10 = 15

So, the answer is A.

Answer:

Step-by-step explanation:

R = 1.52

H = 2.2

π = 3.14

[tex]V=\frac13\pi R^2\cdot H\\\\V=\frac13\cdot3.14\cdot(1.52)^2\cdot2.2=5.3200810\overline6\approx5.32[/tex]

Answer:

n = -6

Step-by-step explanation:

10[6(n+1)+5(n-1)]=13[7(5+n)-(25-3)]

You will collect like terms

10(6n+6+5n-5)=13(35+7n-25+3)

it will give you this

10(11n+1)=13(10+10n)

Then you remove the parenthesis

110n+10 = 130 +130n

Move the terms

110n -130n = 130-10

collect like terms

-20n=120

divide both sides

n=-6

Answer:

[tex]A=73.5\text{ cm}^2[/tex]

Step-by-step explanation:

The formula for an area of a triangle is:

[tex]A=\frac{1}{2}bh[/tex]

Where b is the base length and h is the vertical height.

From the triangle, we can see that the base is 21 cm while the vertical height is 7. Thus:

[tex]A=\frac{1}{2}(7)(21)[/tex]

Multiply:

[tex]A=\frac{1}{2}(147)[/tex]

Multiply:

[tex]A=73.5\text{ cm}^2[/tex]

And that's our answer :)

The Area of triangle is 73.5 square cm.

We have from the figure,

Base of triangle = 21 cm

Height of triangle = 7 cm

side of triangle = 15 cm

We know the formula for Area of Triangle

Area of Triangle = 1/2 x base x height

Now, plugging the value of base and height in the formula we get

Area of triangle = 1/2 x  base x height

= 1/2 x 21 x 7

= 147/2

= 73.5 square cm

Learn more about Area here:

https://brainly.com/question/1631786

#SPJ6

Answer:

Step-by-step explanation:

7). Since the points J, K and L are on a same line, these points are collinear.

8). Point M is a point which is on the same plane with the points J, K and L but it is not collinear as the points J, K, and L are.

9). Points J, K, L and M are on the same plane (horizontal plane) but point N is not coplanar with these points.

10). Since a plane is named using 3 points lying on it. Therefore, JKL is the appropriate name of the given plane with these points.

Answer:

JKL is the appropriate name of the given plane with these points.

Step-by-step explanation:

Answer:12

Step-by-step explanation:

Answer:

Step-by-step explanation:

A^2 + b^2 = c^, 8^2 + x^2 =17^2 , 64 + x^2 = 289, 64- 64 + x^2 = 289-64, x^2 = 225, square root x and 225, Leg1 = 15

Hi there! Hopefully this helps!

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

5(0.3) + 2y = 20

| 5(0.3) + 2y = 20

| Multiply 5 and 0.3 to get 1.5

\/

1.5 + 2y = 20

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

We subtract 1.5 from both sides.

2y = 20 - 1.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Subtract 1.5 from 20 to get 18.5.

2y = 18.5

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Divide both sides by 2.

[tex]y = \frac{18.5}{2}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Expand [tex]\frac{18.5}{2}[/tex] = 9.25 by multiplying both numerator and the denominator by 10.

[tex]y =\frac{185}{20}[/tex]

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

Reduce the fraction [tex]\frac{185}{20} = 9.25[/tex] to lowest terms by extracting and canceling out 5.

[tex]y =\frac{37}{4}[/tex].

~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~

[tex]\frac{37}{4} = 9.25[/tex] in decimal form.

Answer:

65

Step-by-step explanation:

650x0.1=65

the answer is 65 dollars uwu

Answer:

$65

Step-by-step explanation:

10% of 650 is 65 because you multiply .1 and 650, or move the decimal one place to the left. because the question asks for the discount price, you would just find the discount.

Answer:

This has 6 significant digits

Step-by-step explanation:

5,000.06

This has 6 significant digits

We count from the first nonzero digit  to the last nonzero digit

Answer

the answer is 6

Step-by-step explanation: