what is the equation, in factored form, of the quadratic functions shown in the graph?

Answer:

Step-by-step explanation:

Graph shows the distance traveled by a biker as a function of time.

Velocity of the biker changes in the different intervals.

1). In the interval 0 < t < 2, biker is moving with a constant velocity.

   Velocity = [tex]\frac{\text{Displacement}}{\text{Time}}[/tex]

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

             = 2 km per hour

2). In the interval 2 < t < 5,

   Velocity = [tex]\frac{4-4}{4-2}[/tex]

                  = 0

   Therefore, biker stopped between 2 to 5 hours.

3). In the interval 5 < t < 6,

   Velocity = [tex]\frac{\triangle x}{\triangle t}[/tex]

                  = [tex]\frac{4-3}{6-5}[/tex]

                  = 1 km per hour

4). In the interval 6 < t < 7,

   Velocity = [tex]\frac{6-3}{7-6}[/tex]

                 = 3 km per hour

Answer:

[tex](2-\sqrt{7}, 2+\sqrt{7})[/tex]

Step-by-step explanation:

Answer:

Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]

Step-by-step explanation:

Sandy's older sister was given $2,400

She was told to keep the balance of the money after sharing with her siblings.

She gave  Sandy exactly $350

The objective is to write Sandy's portion.

Sandy's portion will be the ratio of the amount given to Sandy divided by the total amount at her sister disposal.

Let Sandy's older sister be y,

So, y = 2400

Sandy's portion = [tex]\dfrac{350}{2400}[/tex]

Sandy's portion = [tex]\dfrac{35}{240}[/tex]

Sandy's portion = [tex]\mathsf{\dfrac{7}{48}}[/tex]

Answer:

The diameter of the bacterium is 4.05 times the diameter of the plant cell

Step-by-step explanation:

Given

The given parameters both represent diameters

Plant Cell; P = 1.26m

Bacterium; B = 5.1m

Required

Compare both diameters;

Write out both expressions

[tex]P = 1.26[/tex]

[tex]B = 5.1[/tex]

Divide B by P

[tex]\frac{B}{P} = \frac{5.1}{1.26}[/tex]

[tex]\frac{B}{P} = 4.04761904762[/tex]

Approximate

[tex]\frac{B}{P} = 4.05[/tex]

Multiply both sides by P

[tex]P * \frac{B}{P} = 4.05 * P[/tex]

[tex]B = 4.05 * P[/tex]

[tex]B = 4.05P[/tex]

This implies that;

The diameter of the bacterium is 4.05 times the diameter of the plant cell

Answer:

2 pi •10•210

Step-by-step explanation:

Khan academy

Answer:

The probability is 0.0228

Step-by-step explanation:

We proceed by calculating the z-score value

Mathematically;

z-score = (x - mean)/SD

where x = 206, mean = 248 and SD = 21

Substituting these values, we have;

z-score = (206-248)/21 = -42/21 = -2

So the probability we want to calculate is;

P(z < -2)

We can use the standard normal distribution table for this;

P(z < -2) = 0.0228

Answer:

i need this as a percentage

Step-by-step explanation:

Answer:

Step-by-step explanation:

The diagonals of the rhombus divide it into 4 congruent right triangles.

So we can use Pythagorean theorem to calculate side of a rhombus.

[tex](\frac e2)^2+(\frac f2)^2=s^2\\\\e=30\,cm\quad\implies\quad\frac e2=15\,cm\\\\f=16\,cm\quad\implies\quad\frac f2=8\,cm\\\\15^2+8^2=s^2\\\\s^2=225+64\\\\s^2=289\\\\s=17[/tex]

Perimeter:

P = 4s = 4•17 = 68 cm

Answer/Step-by-step explanation:

A. [tex] 4b + 3b [/tex]

Using b = 2

[tex] 4(2) + 3(2) = 8 + 6 = 14 [/tex]

Using b = 4

[tex] 4(4) + 3(4) = 16 + 12 = 28 [/tex]

Using b = 6

[tex] 4(6) + 3(6) = 24 + 18 = 42 [/tex]

Using b = 8

[tex] 4(8) + 3(8) = 32 + 24 = 56 [/tex]

Using b = 10

[tex] 4(10) + 3(10) = 40 + 30 = 70 [/tex]

Using b = 2

[tex] 4(12) + 3(12) = 48 + 36 = 84 [/tex]

B. [tex] 3(x - 2) [/tex]

Using x = 3

[tex] 3(3 - 2) = 3(1) = 3 [/tex]

Using x = 5

[tex] 3(5 - 2) = 3(3) = 9 [/tex]

Using x = 7

[tex] 3(7 - 2) = 3(5) = 15 [/tex]

Using x = 9

[tex] 3(9 - 2) = 3(7) = 21 [/tex]

Using x = 11

[tex] 3(11 - 2) = 3(9) = 27 [/tex]

Using x = 13

[tex] 3(13 - 2) = 3(11) = 33 [/tex]

C. [tex] 5(4a - 1) [/tex]

Using a = 2

[tex] 5(4(2) - 1) = 5(8 - 1) = 5(7) = 35 [/tex]

Using a = 3

[tex] 5(4(3) - 1) = 5(12 - 1) = 5(11) = 55 [/tex]

Using a = 4

[tex] 5(4(4) - 1) = 5(16 - 1) = 5(15) = 75 [/tex]

Using a = 5

[tex] 5(4(5) - 1) = 5(20 - 1) = 5(19) = 95 [/tex]

Using a = 6

[tex] 5(4(6) - 1) = 5(24 - 1) = 5(23) = 115 [/tex]

Using a = 7

[tex] 5(4(7) - 1) = 5(28 - 1) = 5(27) = 135 [/tex]

D. [tex] 6y - 2y + 4 [/tex]

Using y = 2

[tex] 6(2) - 2(2) + 4 = 12 - 4 + 4 = 12 [/tex]

Using y = 3

[tex] 6(3) - 2(3) + 4 = 18 - 6 + 4 = 18 - 2 = 16 [/tex]

Using y = 5

[tex] 6(5) - 2(5) + 4 = 30 - 10 + 4 = 30 - 6 = 24 [/tex]

Using y = 10

[tex] 6(10) - 2(10) + 4 = 60 - 20 + 4 = 60 - 16 = 44 [/tex]

Using y = 8

[tex] 6(8) - 2(8) + 4 = 48 - 16 + 4 = 48 - 12 = 36 [/tex]

Using y = 6

[tex] 6(6) - 2(6) + 4 = 36 - 12 + 4 = 36 - 8 = 28 [/tex]

Answer:

511 x 3 = 1533

Step-by-step explanation:

here's another:

219 x 7

hope this helpes

Answer:

D. [tex]\sqrt{\frac{2*2*2*2*3}{5*5*7} }[/tex]

Step-by-step explanation:

48 divided by 2 is 24. Insert the 2.

24 divided by 2 is 12. Insert the 2.

12 divided by 2 is 6. Insert the 2.

6 divided by 2 is 3. Insert the 2 and 3:

[tex]48=2*2*2*2*3[/tex]

175 divided by 5 is 35. Insert the 5.

35 divided by 5 is 7. Insert the 5 and 7:

[tex]175=5*5*7[/tex]

:Done

Answer:

an accounts; credit or debit.

Step-by-step explanation:

Remember, accounting involves activities done to keep financial records. Interestingly, a similar term is used to refer to the basic unit in which data are stored in an accounting system called accounts.

Also, we need to bear in mind that this financial records written as storage units would include incoming or outgoing money measurements often called debit or credit transactions in the items for which they are established.

Answer:

(5,2)

Step-by-step explanation:

The 90° clockwise rule (for around the origin) is: [tex](x,y)\rightarrow(y,-x)[/tex]

Apply the rule to point A:

[tex]\left \{ {(-2,5)\rightarrow(5,2)} \atop {(x,y)\rightarrow(y,-x)}} \right.[/tex]

A' should be (5,2).

Answer:

Step-by-step explanation:

The general rule for rotation of an object 90 degrees is (x, y) to (-y, x)

so for point A(-2,5), A' will be (5,2)

to find the new

X=xcos(θ)+ysin(θ)

X=-2(cos90)+5sin90             ( cos90=0, sin 90=1)

to find the new

Y=−xsin(θ)+ycos(θ)

Y=-(-2)sin90+5cos90

Answer:

See below.

Step-by-step explanation:

[tex]\frac{u-x}{v-x}=\frac{u}{v^2} \\[/tex]

Cross multiply and distribute.

[tex]u(v-x)=v^2(u-x)\\uv-ux=uv^2-xv^2[/tex]

Move all the u to the left side:

[tex]uv-ux-uv^2=-xv^2[/tex]

Factor out a u:

[tex]u(v-x-v^2)=-xv^2[/tex]

Divide:

[tex]u=\frac{-xv^2}{v-x-v^2}=\frac{xv^2}{x+v^2-v}[/tex]

(I factored out a negative in the second term.)

Answer:

white: 1/3, blue: 1/4, red: 5/12

Step-by-step explanation:

Take the amount of balls each color has and divide by 12.

White:

4/12 = 1/3

Blue:

3/12 = 1/4

Red:

5/12 (can't simplify)

Answer:

3/44 or 0.068

Step-by-step explanation:

(3/12 × 2/11 × 1/10)+(5/12 × 4/11 × 3/10)+(4/12 × 3/11 × 2/10)

=3/44

The factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

A quadratic equation is an algebraic equation of the second degree in x. The quadratic equation in its standard form is [tex]ax^2 + bx + c = 0,[/tex]

Here in the graph we can see that the x coordinate cut by the curve of the quadratic equation is in the negative side of x at -1 and -5.

So the factors of the quadratic equations are (x + 1) and (x + 5) which is represented on the graph.

To know more about quadratic equation follow

https://brainly.com/question/1214333

#SPJ2

Answer:

Check Screenshot

Step-by-step explanation:

Answer:

$13

Step-by-step explanation:

First, find how much she put into the bank:

84 - 45 = $39

Then, multiply this by 2 to find how much she made, because this was half of the money she got:

39(2) = 78

Then, divide this by 6 to find how much she makes a day:

78/6 = 13

= $13

Answer:

Step-by-step explanation:

If he answers the next 3 questions incorrectly he will break even:

6 - 3(2) = 0.

Answer:

C. answering the last two questions correctly

Step-by-step explanation:

Did it on edge, hope this helps :) Brainliest?

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|

V

Answer:

A,E

Step-by-step explanation:

Natural numbers include the normal counting number like 1, 2, 3, and so on and also 0.

B) does not work as negative numbers are not numbers we start counting in

E) does not work as we don't count in fractions

Answer:

Option (C)

Step-by-step explanation:

This question is incomplete; here is the complete question.

Morris is showing his work in simplifying,

(-6.7 + 4.3) - 1.2

Step 1: (4.3 - 6.7) - 1.2

Step 2: 4.3 - (6.7 + 1.2)

Step 3: 4.3 - 7.9

Step 4: -3.6

Which statement is true ?

A). Step 1, Morris used the commutative property.

B). Step 2, Morris used the distributive property.

C). Step 3, Morris used the associative property.

D). Step 4, Morris's answer is incorrect.

In associative property,

a + (b + c) = (a + b) + c

By this property,

(-6.7 + 4.3) - 1.2

Step 1, (-6.7 + 4.3) - 1.2 = (4.3 - 6.7) - 1.2

Step 2, (4.3 - 6.7) - 1.2 = 4.3 - (6.7 + 1.2) [Use of associative property]

Step 3, 4.3 - 7.9

Step 4, -3.6

Answer:

The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either a weak correlation or strong correlation.

Step-by-step explanation:

Answer:

The answer to your question would be A.) The strength of a correlation is independent of whether the correlation of a scatterplot is positive or negative. A scatterplot with positive correlation can have either weak correlation or strong correlation.

Step-by-step explanation:

I got it right on edge 2020

Answer:

None of the options are correct

Step-by-step explanation:

Let us assume point B is at (x, y) and the center of dilation is at (a, b). Therefore the distance between the two points is:

[tex]Distance =\sqrt{(b-y)^2+(a-x)^2}=11 \\\\\sqrt{(b-y)^2+(a-x)^2}=11[/tex]

If Triangle ABC is then dilated by 3/4, the new coordinate is B'(3/4 (x-a) + a, 3/4 (y - b) + b). The distance between B' and the center of dilation would be:

[tex]Distance =\sqrt{(b-[\frac{3}{4}( y-b)+b])^2+(a-[\frac{3}{4} (x-a)+a])^2}[/tex]

Therefore the distance cannot be gotten until the center of dilation is given

Answer:

Hey there!

[tex](2x-1)(x-3)[/tex]

[tex]2x^2-1x-6x+3[/tex]

[tex]2x^2-7x+3[/tex]

Hope this helps :)

Answer:

see below

Step-by-step explanation:

the simple answer is a if you need an explanation just comment

Answer:

84 square inches is the correct answer.

Step-by-step explanation:

I am 100% sure of that.

Hope this helps....

Have a nice day!!!!

Answer:

EFGH ~ IJKL

Step-by-step explanation:

There sides are both parallel.

Hope this helped you :)

Answer:

1/6

Step-by-step explanation:

People who answered less than 1/2 were:  2 +  1 + 3 = 6 people.

There are a total of 36 people.

People who answered their calls before the second ring were only 6/36.

When we simplify the fraction, we get 1/6.

So, the answer is 1/6.

Answer:

6 sqrt(3) = y

Step-by-step explanation:

We can use the leg rule to find y

hyp      leg

----- = -------

leg        part

9+3      y

----- = -------

y       9

Using cross products

12*9 = y^2

108 = y^2

Taking the square root of each side

sqrt(108) = sqrt(y^2)

sqrt(36 *3) = y

6 sqrt(3) = y

Answer: B) 6/3 units

Step-by-step explanation:

Answer:

Step-by-step explanation:

√48 = √(3*16) = 4√3

                  √1                                      

√(1/49) = ------- = 1/7

                √49

                       √4

√(4/100) = --------------- = ±2/10 =                                                                                                                                                                                                                                                                                                                                                                              

                     √100

Answer:

90°

Step-by-step explanation:

The angle a tangent makes with a radius at the point of tangency is 90 deg.

There are three 90-deg angles in the quadrilateral, so the 4th angle must also measure 90 deg.

Answer: 90°

Based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

The tangent theorem states that an angle of 90 degrees is formed at the point of tangency where a tangent meets the radius of a circle.

YX and WX are tangents of the circle.

m∠Y = m∠W = 90°

Sum of interior angles of a quadrilateral is 360°

m∠X = 360 - 90 - 90 - 90

m∠X = 90°

Therefore, based on the tangent theorem the measure of the circumscribed ∠X is: 90°.

Learn more about the tangent theorem on:

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Answer:

f(x + k)

Step-by-step explanation:

A horizontal shift moves to the left or right

y = f(x + k)  k > 0 moves it left

                   k < 0 moves it right