what is 4325000 in scientific notation

If you want a polynomial to have the x-intercepts of your choice, you simply have to build a polynomial by multiplying pieces like [tex](x-x_k)[/tex] where [tex]x_k[/tex] is the x-intercept you want.

So, if you want x-intercepts 0 and 4, you have to build the polynomial

[tex](x-0)(x-4) = x(x-4)[/tex]

The function that has x-intercepts at (0, 0) and (4, 0) is f(x) = x (x − 4).

Option A is the correct answer.

A function has an input and an output.

A function can be one-to-one or onto one.

It simply indicated the relationships between the input and the output.

Example:

f(x) = 2x + 1

f(1) = 2 + 1 = 3

f(2) = 2 x 2 + 1 = 4 + 1 = 5

The outputs of the functions are 3 and 5

The inputs of the function are 1 and 2.

We have,

The x-intercepts of a function are the points where the graph of the function crosses the x-axis.

At these points, the value of the function is zero.

To have x-intercepts at (0, 0) and (4, 0), the function must be zero when x is equal to 0 and 4.

Let's evaluate the given options:

f(x) = x(x − 4):

This function is zero at x = 0 and x = 4, so it has x-intercepts at (0, 0) and (4, 0).

f(x) = x(x + 4):

This function is zero at x = 0 and x = -4, so it does not have an x-intercept at (4, 0).

f(x) = (x − 4)(x − 4):

This function is zero at x = 4, but it also has a double root at x = 4, so it only has one x-intercept at (4, 0).

f(x) = (x + 4)(x + 4):

This function is zero at x = -4, but it does not have an x-intercept at (0, 0).

Therefore,

The function that has x-intercepts at (0, 0) and (4, 0) is f(x) = x(x − 4).

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Answer: False

Step-by-step explanation:

Answer:

h = 10 m

Step-by-step explanation:

We are given the following formula of the area of a trapezoid:

[tex]A=\frac{1}{2} (b+c)h[/tex]

where [tex]h[/tex] is the height of the trapezoid and [tex]b[/tex] and [tex]c[/tex] are its bases.

Re-arranging the given formula to solve for h:

[tex]A=\frac{1}{2} (b+c)h[/tex]

[tex]2A=(b+c)h[/tex]

[tex]h=\frac{2A}{(b+c)}[/tex]

Finding the height of the trapezoid given the bases 20 m, 7 m and area 135m^2.

[tex]h=\frac{2 \times 135}{(7+20)}[/tex]

h = 10 m

ANSWER

h=10m

EXPLANATION

The given formula is

[tex]A = \frac{1}{2} (b + c)h[/tex]

We multiply through by 2 to get,

[tex]2A =(b + c)h[/tex]We divide both sides by (b+c) to get,

[tex] \frac{2A}{b + c}=h[/tex]

Or

[tex]h=\frac{2A}{b + c} [/tex]

[tex]h=\frac{2 \times 135}{20 + 7} [/tex]

We simplify to get,

[tex]h=\frac{270}{27} [/tex]

Therefore

[tex]h = 10[/tex]

Now if b=20, c=7 and A=135, then,

Answer:

She is 66 years old.

Step-by-step explanation:

If you minus 452 from 650, you get 198.

198 (the whole amount taken from 650) and divide it by 3: you get 66.

Answer:

She is 66 years old.

Step-by-step explanation:

If you minus 452 from 650, you get 198.

198 (the whole amount taken from 650) and divide it by 3: you get 66.

Answer:

Step-by-step explanation:

[tex]8(u+3)\qquad\text{use the distributive property}\ a(b+c)=ab+ac\\\\=(8)(u)+(8)(3)=8u+24[/tex]

Answer:

The translation is 4 down.

Step-by-step explanation:

I'm going to assume you're saying 3x to the power of 2. So first, apply the values of the variables to the equation just as shown:

3(-5)^2 - |-2|

So first, do -5 to the power of 2:

(-5)(-5)=25

Then, multiply 3 to 25:

3*25=75

Now, the absolute value of y is the absolute value of -2. The aboslute value of any number is its positive value, so now we are left with 75-2

75-2=73

73 is your answer.

difference=3a

so an=-6a+(n-1)3a

=3an-9a

Answer:

Option D. [tex]a_{n}=3an-9a[/tex] is the answer.

Step-by-step explanation:

The given sequence is -6a, -3a, 0a, 3a, 6a...........

Since the given sequence is having a common difference d = -3a - (-6a) = -3a + 6a = 3a

Therefore, the given sequence is an arithmetic sequence.

And for an arithmetic sequence general rule or explicit formula is given by

[tex]T_{n}=a+(n-1)d[/tex]

Where a = first term of the sequence

d = common difference

n = number of term which we have to find

Now we put the values from the given sequence

[tex]T_{n}=-6a+(n-1)3a[/tex]

[tex]T_{n}=-6a+3an-3a[/tex]

[tex]T_{n}=3an-9a[/tex]

Option D. [tex]a_{n}=3an-9a[/tex] is the answer.

Answer:

128

Step-by-step explanation:

2*4*4*4= 128

Answer: Option D

( D) 128

Step-by-step explanation:

Answer:

in order

Step-by-step explanation:

1)  1

2) 5

3) 2

You are looking for the x values of this "rule". It gives you the y-values so all you have to do is plug the y-values into the rule and solve for x

y = 4 so...

4 = x + 3

4 - 3 = x + (3-3)

1 = x + 0

x = 1

When y is 4 then x is 1

y = 8 so...

8 = x + 3

8 - 3 = x + (3 - 3)

x = 5

When y is 8 then x is 5

y = 5 so...

5 = x + 3

5 - 3 = x + (3 - 3)

2 = x + 0

x = 2

When y is 5 then x is 2

Hope this helped!

~Just a girl in love with Shawn Mendes

Answer:

h(x) = –5 |x| + 10

k(x)=1/4(x-4)^2+4

m(x)=1/4 |x-8| +6

Step-by-step explanation:

The given function is:

g(x) = |x + 3| + 4

At y-intercept x=0,

g(0) = |0 + 3| + 4

g(0) = 3 + 4=7

The y-intercept of this function is 7.

We look for the functions with y-intercepts greater than 7.

[tex]f(x)=-2(x-8)^2[/tex]

[tex]f(0)=-2(0-8)^2[/tex]

[tex]f(0)=-128[/tex]

h(x) = –5 |x| + 10

h(x) = –5 |0| + 10=10

[tex]j(x)=-4(x+2)^2+8[/tex]

[tex]j(0)=-4(0+2)^2+8=-8[/tex]

[tex]k(x)=\frac{1}{4}(x-4)^2+4[/tex]

[tex]k(0)=\frac{1}{4}(0-4)^2+4=8[/tex]

m(x)=1/4 |x-8| +6

m(0)=1/4 |0-8| +6=8

Answer with explanation:

The given function is

  g(x)=|x+3|+4

The meaning of Y intercept is the distance between origin and Point where the curve cuts Y axis.

In , g(x), put x=0

g(0)=|0+3|+4

   =3+4

   =7

So, Length of Y intercept =7 unit

2.

f(x)=-2(x-8)²

f(0)=-2×(0-8)²

     = -2 × 64

      = -128

Length of Y intercept =-128 unit

3.

h(x)=-5|x|+10

h(0)=-5 × |0| +10

       =10

Length of Y intercept =10 unit

4.

j(x)=-4(x+2)²+8

j(0)=-4×(0+2)²+8

     =-4 × 4+8

    = -16 +8

    = -8

Length of Y intercept =-8 unit

4.

[tex]\rightarrow k(x)=\frac{1}{4} \times (x-4)^2+4\\\\\rightarrow k(0)=\frac{1}{4} \times (0-4)^2+4\\\\\rightarrow k(0)= 4+4\\\\=8[/tex]

Length of Y intercept =8 unit

5.

[tex]\rightarrow m(x)=\frac{1}{4} \times |x-8|+6\\\\\rightarrow k(0)=\frac{1}{4} \times |0-8|+6\\\\\rightarrow k(0)= 2+6\\\\=8[/tex]

Length of Y intercept =8 unit

⇒ h(x),k(x) and m(x) has y intercept greater than y-intercept of the function g(x) = |x + 3| + 4.

Answer:

see explanation

Step-by-step explanation:

Given

- 3 < n < 1

Then possible integer values of n are n = - 2, - 1, 0

Answer: Option B

[3, 5]

Step-by-step explanation:

The function g(x) is a line of slope m = 4. Therefore, its rate of change is constant and equal to 4.

The rate of change of the function f(x) in the interval [tex][x_1, x_2][/tex] is calculated with the following formula

[tex]m =\frac{y_2-y_1}{x_2 - x_1}[/tex]

Note that the rate of change of the function increases as x increases.

For example

For [-1, 0]

[tex]m =\frac{4-3.5}{0 - (-1)}[/tex]

[tex]m =\frac{1}{2}[/tex]

[tex]\frac{1}{2}<4[/tex]

For [0, 2]

[tex]m =\frac{7-4}{2 - 0}[/tex]

[tex]m =\frac{3}{2}[/tex]

[tex]\frac{3}{2}<4[/tex]

For [1, 3]

[tex]m =\frac{11-5}{3-1}[/tex]

[tex]m =3[/tex]

[tex]3<4[/tex]

For [3, 5]

[tex]m =\frac{35-11}{5-3}[/tex]

[tex]m =12[/tex]

[tex]12>4[/tex]

Answer:

8w² - 11w + 3

Step-by-step explanation:

(8w - 3)(w - 1)

= 8w² - 8w - 3w + 3

= 8w² - 11w + 3

Answer:

(8w -3) (w -1) =

8w^2-5w+3

Step-by-step explanation:

Answer:

Well to find the Mean you Add all of the numbers up and Divide by How many numbers there are

The sample mean is 26 mins and the population mean is 23 mins.

An average of a group of data is referred to as a sample mean.

The population mean is an average of a group characteristic.

The population mean = 23 minutes(given)

Sample mean = (25 + 33 + 26 + 29 + 17 + 29 + 42 + 19 + 15 + 52 + 11 + 14) / 12

Sample mean = 312 / 12

Sample mean = 26 minutes

Hence, the value of sample mean is 26 minutes and the value of population mean is 23 minutes.

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Answer:

The measure of angle G is 108 Degrees, hope this helps.

Step-by-step explanation:

By setting up a system of equations, it was determined that the local hamburger shop sold 350 hamburgers on Friday.

To determine how many hamburgers and cheeseburgers were sold on Friday at the local hamburger shop, we can set up a system of equations based on the information given. Let H represent the number of hamburgers sold and C represent the number of cheeseburgers sold. According to the problem, H + C = 625 and H = C + 75.

To find the number of hamburgers, we replace C in the first equation with H - 75 from the second equation, so we have H + (H - 75) = 625. Simplifying this, we get 2H - 75 = 625. Adding 75 to both sides gives us 2H = 700. Dividing both sides by 2 gives H = 350. Therefore, 350 hamburgers were sold on Friday.

We have that the value of matrix x is  is mathematically given as

Option A

From the question we are told

If X-A=B what is X

Generally the equation for Matrix   is mathematically given as

X=B+A

Therefore

X=B{-9 5; 1 -1}+A{2 -7;6 1}

X={-7 -2;7 0}

Therefore

X={-7 -2;7 0}

Option A

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Answer:

x = -12

Step-by-step explanation:

Step 1: Isolate x

1/4x + x = -12 - 3

Step 2: Combine like terms

5/4x = -15

Step 3: Simplify

x = (-15)(4/5)

x = -12

Answer: -12

Step-by-step explanation:−1 /4  x−12=x+3

Step 1: Subtract x from both sides.

−1 /4 x−12−x=x+3−x

−5 /4 x−12=3

Step 2: Add 12 to both sides.

−5 /4 x−12+12=3+12

−5 /4 x=15

Step 3: Multiply both sides by 4/(-5).

( 4 /−5 )*( −5 /4 x)=( 4 /−5 )*(15)

x=−12

Answer:

399

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

the side of the triangle is 3.5 cm. all 3 sides are the same length because it is an eq. triangle. 3.5*3=9+1.5=10.5

[tex]\text{Hey there!!}[/tex]

[tex]\text{Negatives are BELOW 0}[/tex]

[tex]\text{If you have a number line you would see that the negatives goes on the LEFT}[/tex] [tex]\text{SIDE of the number line, while the POSITIVES are on the RIGHT SIDE}[/tex]

[tex]\text{If 17 is GREATER THAN 1 on the number line than -17 is BIGGER THAN -1 in this case}[/tex]

[tex]\boxed{\boxed{\text{Answer:-17}<-1}}\checkmark[/tex]

[tex]\text{Good luck on your assignment and enjoy your day!}[/tex]

~[tex]\frak{LoveYourselfFirst:)}[/tex]

Answer:

24

Step-by-step explanation:

4!  means multiply all the number from 4 down to 1

4! = 4*3*2*1

   = 24

For this case we have that by definition, the factorial of a number is the product of the "n" consvutive factors from n to 1. The factors are in descending order, that is:

[tex]n! = n (n-1) (n-2) ... 3 * 2 * 1[/tex]

Then, we have the following expression:

[tex]4![/tex]

Applying the definition we have:

[tex]4! = 4 * 3 * 2 * 1 = 24[/tex]

ANswer:

[tex]4! = 24[/tex]

The point-slope equation y - 3 = 2(x + 4) can be rewritten in slope-intercept form by distributing the slope and adding 3 to both sides, resulting in y = 2x + 11, which is option D.

To rewrite the point-slope equation y - 3 = 2(x + 4) into slope-intercept form, which is y = mx + b, where m is the slope and b is the y-intercept, we need to solve for y. Here is the step-by-step process:

The resulting slope-intercept form of the equation is y = 2x + 11, which corresponds to option D.

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Answer:88 degrees

Step-by-step explanation:

88 degrees is the correct answer

Answer:

Step-by-step explanation:

6x+4y=14

y=5

6x+4(5)=14

6x+20=14

6x=-6

x=-1

Step 1: Where you see a y in the equation 6x + 4y =14 replace it with 5. This will help you find x

6x + 4(5) = 14

6x + 20 = 14

Step 2: Combine like terms by subtracting 20 to both sides

6x + (20-20) = 14-20

6x = -6

Step 3: Isolate x by dividng 6 to both sides

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

x = -1

Point of intersection of these two linse is ( -1 , 5 )

Hope this helped!

Answer:

2k^2 + 12.

Step-by-step explanation:

(1/2k)(4k) + 12

= 1/2 *4 k^2 + 12

= 2k^2 + 12.

Answer:

Step-by-step explanation:

1/2k (4k) + 12= 0

4k/2k + 12 = 0

2k + 12 = 0

2k = -12

Divide by 2 on both sides

K = -6

Answer:

D.7/80

Step-by-step explanation:

⇒The question is on probability with replacement

⇒The events taken in this probability are independent of each other

⇒Formulae for combined probability of these events is the product of the probabilities of the event

Given;

6 books for fiction, F=6

7 books for humor, H=7

5 books for play, P=5

2 books for adventure, A=2

Evaluating

n(S)=6+7+5+2=20

P(H)=7/20

P(P)=5/20

P(H ∩ P)=P(H)×P(P)

7/20 × 5/20 =7/80

Expand

3x + 4x + 8 + 4y

Collect like terms

(3x + 4x) + 8 + 4y

Simplify

= 7x + 8 + 4y

Answer:

7x + 4y + 8

Step-by-step explanation:

Please be more explicit regarding your goal.  "What is ... " could be interpreted in several ways.  I will assume you meant, "What is the simplest form of 3x + 4(x + 2) + 4y?"  Finally, please use the regular character, " x, " when you mean a variable and use the character " × " for multiplication.

What is the simplest form of 3x + 4(x + 2) + 4y?  Do the indicated multiplication.  We get:  3x + 4x + 8 + 4y, which in turn is 7x + 4y + 8.