Which parent function is represented by the table?
I need some help

Answer:

Mitochondria

Step-by-step explanation:

Mitochondria is the cell organelle responsible for ATP synthesis.

Hope this helps!

Feel free to ask if you have anymore questions!

Answer: the mitochondria

Step-by-step explanation: it’s the power source of the cell. Hope this helps! :)

Answer:

x = −1 ± √17

Hope this helps and have a nice day! :)

Answer:

B

Step-by-step explanation:

So your equation is actually x^2+2x+1=17

Left hand side is already set for rewriting it as a perfect square

So you have actually that (x+1)^2=17

Now you just take square root of both sides

x+1=(pm) sqrt(17)                        (pm) means plus or minus

x=-1 (pm) sqrt(17)                         I subtracted 1 on both sides

B

Hello There!

Your answers would be #1 and #3

If Earl jogged 5 yards forward and then jogs 9 yards back, we are subtracting 9 from 5 and we get a difference of -4. This is because he jogged backward from his position after 5 yards.

If Clarissa had $49 in her checking account, we subtract $53 because she bought a pair of shoes so we get a difference of also -4

Answer:

the first one was the answer

Answer:

A

Step-by-step explanation:

note that the exact value of

sin ( [tex]\frac{\pi }{4}[/tex] ) = [tex]\frac{1}{\sqrt{2} }[/tex] = [tex]\frac{\sqrt{2} }{2}[/tex] ← the value of the x- coordinate

ANSWER

[tex]{(3a + 4b)}^{2} [/tex]

EXPLANATION

The given function is:

[tex] 9{a}^{2} + 24ab + 16 {b}^{2} [/tex]

This can be rewritten as

[tex]{(3a)}^{2} + 2(3 \times 4)ab + {(4b)}^{2} [/tex]

Recall that:

[tex] {x}^{2} + 2xy + {y}^{2} = {(x + y)}^{2} [/tex]

Let x=3a and y=4b,

Then,

[tex]{(3a)}^{2} + 2(3 \times 4)ab + {(4b)}^{2} = {(3a + 4b)}^{2} [/tex]

Hence the fully factored form is:

[tex]{(3a + 4b)}^{2} [/tex]

Answer:

The correct answer is (3a + 4b)^2

Step-by-step explanation:

Answer:

= 15x +30y -220

Step-by-step explanation:

We can easily get another expression if we multiply each individual term, and

add together the result

30(1/2x-2)+40(3/4y-4)

= 15x-60 +30y-160

= 15x +30y -220

See attached picture below

To calculate the year in which the population of the country is expected to reach 300 million, set up and solve the provided equation involving the population function. By following the steps of solving for x, you can identify the specific year when the population is estimated to reach 300 million.

To find in what year the population can be expected to reach 300 million, we can set up the equation:

P(x) = 100 * 1.02^x = 300

Now, solve for x:

Answer:  [tex]\bold{a.\quad \dfrac{1}{4}}[/tex]

Step-by-step explanation:

Since it is already given that the number is a 4 and each of the four colors only has one 4, then the probability for green is:

[tex]P=\dfrac{\text{number of green 4's}}{\text{total number of 4's}}=\dfrac{1}{4}[/tex]

If you wanted to find the probability that it is a four and it is green then you would calculate the probability as:

[tex]P=\dfrac{\text{number of 4's}}{\text{total number of numbers}}\times \dfrac{\text{number of greens}}{\text{total number of colors}}\\\\\\.\ =\dfrac{4}{40}\times\dfrac{1}{4}\\\\\\.\ =\dfrac{1}{40}[/tex]

Answer:

the answer is 9

Step-by-step explanation:

Answer:

A. The slope is 4.

B. The y-intercept is 8.

C. The equation is y = 4x + 8

Step-by-step explanation:

We know that there is a flat $8 cost in addition to $4 per ride. We can express this by using:

y = 8 + 4x.

y is the total cost

x is the number of rides

The question wants the equation in slope-intercept form.

Slope-intercept form of a line: y = mx + b

m = slope

b = y-intercept

y = 8 + 4x ➵ y = 4x + 8

Now that we have the slope-intercept form of the line, we can answer the problems.

A. The slope is 4.

B. The y-intercept is 8.

C. The equation is y = 4x + 8

Answer:

Step-by-step explanation:

By the distributive property of multiplication, 2x(x-4) = 2x^2 - 8x.  This could be re-written as 2(x^2 - 8).

Answer:

B. 2x^2-8

Step-by-step explanation:

Got Correct On MyPath.

Answer: 400<=25m-85

Step-by-step explanation: 400 is how much he wants to AT LEAST make so it’ll be more than or equal to four hundred. Then he gets payed 25 dollars per law. Number of laws are unknown so its m making 25m. Lastly he has to pay 85 dollars for the law mower so that subtracts his from his pay making it 25m-85.

Step-by-step Answer:

Topic: Points of division

There are scary looking formulas that can be used, but it is much easier to calculate by reasoning.

Given : A(-3,6), B(6,-3)

Solution:

The idea is to subdivide the DIFFERENCE in coordinates into thirds, and add onto that of A.  We choose A as the starting point, but method works equally well if we chose B.

Difference in coordinates (delta) between A & B is then

delta(Bx-Ax, By-Ay)

=(6-(-3), -3-6)

=delta(9, -9)

One third of difference (for point C)

=delta/3 = (3,-3)

So coordinates of point C

= A(-3,6)+(3,-3)

= C(0,3)

Two thirds of difference (for point D)

= (2/3)delta = (6, -6)

Coordinates for point D

= A(-3,6)+(6,-6)

= D(3,0)

If you prefer to use formulas, it would be

New coordinates = (Xa+(Xb-Xa)*k, Ya+(Yb-Ya)*k)

where

Xa,Xb = x-coordinates of points A & B respectively.

Ya,Yb = y-coordinates of points A & B respectively.

k=ratio (usually less than 1)

Here

k for point C = 1/3

k for point D = 2/3

Coordinate of C is: (0,3)

and Coordinate of D is: (3,0)

We know that if a point C(x,y) divides the given line segment A(a,b)B(c,d) into ratio of m:n

then the coordinates of points C are:

[tex]x=\dfrac{m\times c+n\times a}{m+n},\ y=\dfrac{m\times d+n\times b}{m+n}[/tex]

Here A(a,b)=A(-3,6)

and B(c,d)=B(6,-3)

This means that the coordinate of Point C are:

[tex]x=\dfrac{1\times 6+2\times (-3)}{1+2},\ y=\dfrac{1\times (-3)+2\times 6}{1+2}\\\\i.e.\\\\x=\dfrac{6-6}{3},\ y=\dfrac{-3+12}{3}\\\\i.e.\\\\x=0,\ y=\dfrac{9}{3}\\\\i.e.\\\\x=0,\ y=3[/tex]

Hence, the coordinates of Point C are: (0,3)

Hence, the coordinates of point D is calculated by:

[tex]x=\dfrac{2\times (6)+1\times (-3)}{1+2},\ y=\dfrac{2\times (-3)+1\times 6}{1+2}\\\\i.e.\\\\x=\dfrac{12-3}{3},\ and\ y=\dfrac{-6+6}{3}\\\\i.e.\\\\x=\dfrac{9}{3},\ y=\dfrac{0}{3}\\\\i.e.\\\\x=3,\ y=0[/tex]

Hence, the coordinate of Point D is: (3,0)

Answer:

Step-by-step explanation:

[tex]\text{The slope-intercept form of an equation of a line:}\\\\y=mx+b\\\\m-slope\\b-y-intercept\to(0,\ b)\\\\\text{The formula of a slope:}\\\\m=\dfrac{y_2-y_1}{x_2-x_1}\\\\=============================[/tex]

[tex]f(x):\\\\given:\ (-1,\ -5),\ (0,\ -1),\ (1,\ 3)\\\\m=\dfrac{3-(-5)}{1-(-1)}=\dfrac{8}{2}=4\\\\(0,\ -1)\to b=-1\\\\f(x)=4x-1\\\\---------------------------\\\\g(x)=2x-7\to m=2,\ b=-7[/tex]

Answer:

Part A: The slope of F(x) is greater than the slope of g(x)

Part B: The Y-intercept of f(x) is greater than that of g(x)

Step-by-step explanation:

To calculate the slope on f(x) we just have to take two points from the table and use the formula for slope:

[tex]m=\frac{y^{2} -y^{1} }{x^{2}- x^{1} }[/tex]

Now the points to use will be:

P1:(0,-1)

P2:(1,3)

Now we just put this values into the formula:

[tex]m=\frac{y^{2} -y^{1} }{x^{2}- x^{1} }[/tex]

[tex]m=\frac{3-(-1) }{1- (0)} }[/tex]

[tex]m=\frac{4}{1}\\ m=4[/tex]

Now to know the slope of g(x) we just have to remember that in the function form y=mx+c the "m" represents the slope, so if g(x)=2x-7 the slope would be "2".

Now we know that f(x) has a greater slope.

To know the greater Y intercept we just take the point in the table where x is "0" since it´s where the Y intercepts with the Y axis, and in f(x) that point is (0,-1), now in g(x) we just evaluate the function to x=0.

[tex]g(x)=2x-7\\g(x)=2(0)-7\\g(x)=-7[/tex]

The Y intercept in g(x) would be in (0,-7), since -1 is greater than -7, we can say that f(x) has the greatest Y-intercept.

Answer:

5

Step-by-step explanation:

When you are dividing fractions you must flip the second digit and the sign should be changed to multiplication sign.

So in this equation it will be

2 / 4/10 =

2 * 10/4=

20/4=

5

Hope you found this answer helpful

Answer:

the explicit formula for given geometric sequence {1,-3,9,..} is [tex]a_{n}= (-3)^{n-1}[/tex]

Step-by-step explanation:

We are given the series

1,-3,9,...

the common ratio is:

-3/1 = -3

9/-3 = -3

So, the common ratio in the series is -3

a₁ = 1

The formula used for geometric series is:

[tex]a_{n}= a_{1}(r)^{n-1}[/tex]

Putting values of a₁ and r

[tex]a_{n}= 1(-3)^{n-1}[/tex]

[tex]a_{n}= (-3)^{n-1}[/tex]

So, the explicit formula for given geometric sequence {1,-3,9,..} is [tex]a_{n}= (-3)^{n-1}[/tex]

Answer:

Perimeter  = 2 * (x + 15)

Step-by-step explanation:

Rectangle:

l = 2/3x + 10

b = 1/3x + 5

Perimeter  = 2 * (l + b)

                 = 2 * ( 2x/3 + 10 +  1x/3 + 5)

                 = 2 * (3x/3 + 15)

                  = 2 * (x + 15)

Answer: Option C

[tex]AC = 2\pi[/tex]

Step-by-step explanation:

The arc length is calculated as

[tex]L = \theta * R[/tex]

Then

[tex]AC = \theta * R[/tex]

We know that

[tex]BC = 24\ ft[/tex]

If BC is the diameter of the circumference then the radius R is:

[tex]R = \frac{BC}{2}[/tex]

[tex]R = \frac{24}{2}[/tex]

[tex]R = 12\ ft[/tex]

Now we convert the anglo from degrees to radians[tex]\theta= 30\° * \frac{\pi}{180\°}\\\\\theta=\frac{1}{6}\pi[/tex]

Finally

[tex]AC = \frac{1}{6}\pi * 12[/tex]

[tex]AC = 2\pi[/tex]

Answer:

The length of the arc AC is 2π ⇒ answer C

Step-by-step explanation:

* Lets revise some facts in the circle

- The length of the arc is depends on the measure of the arc and the

  radius of the circle

- The length of the arc is a part of the length of the circle

- The length of the circle is 2πr

- The rule of the length of the arc = [tex]\frac{\alpha }{360}*2\pi r[/tex],

  where α is the measure of the arc

* Now lets solve the problem

- In circle P

∵ BC is a diameter

∵ BC = 24 ft

∵ The length of the radius of the circle is 1/2 the length of the diameter

∴ The length of the radius = 1/2 × 24 = 12 ft

- Ac is an arc in the circle

∵ The measure of the arc = 30°

∵ The length of the arc = [tex]\frac{\alpha }{360}*2\pi r[/tex] ,

  where α is the measure of the arc

∴ α = 30°

∵ r = 12 ft

∴ The length of the arc = [tex]\frac{30}{360}*2(12)\pi=\frac{1}{12}*(24)\pi=2\pi[/tex]

∴ The length of the arc AC is 2π

Answer:

2nd one

Step-by-step explanation:

No mixing order so the second one.

You can do either

(y2-y1)/(x2-x1) or (y1-y2)/(x1-x2) which will give you rise/run in either situation

Answer:

2nd one

Step-by-step explanation:

got it right on the test and got 100%

hope this helps :)

Answer:

The similar triangles are Δ KMJ and Δ NML

The value of x is 3

KM = 6 and NM = 3

Step-by-step explanation:

* Lets revise the cases of similarity

1) AAA similarity : two triangles are similar if all three angles in the first

  triangle equal the corresponding angle in the second triangle  

- Example : In ΔABC and ΔDEF, m∠A = m∠D, m∠B = m∠E and  

 m∠C= m∠F then ΔABC ≈ ΔDEF by AAA  

2) AA similarity : If two angles of one triangle are equal to the

   corresponding angles of the other triangle, then the two triangles  

   are similar.

- Example : In ΔPQR and ΔDEF, m∠P = m∠D, m∠R = m∠F then  

  ΔPQR ≈ ΔDEF by AA  

3) SSS similarity : If the corresponding sides of two triangles are

   proportional, then the two triangles are similar.

- Example : In ΔXYZ and ΔLMN, if  

  then the two triangles are similar by SSS  

4) SAS similarity : In two triangles, if two sets of corresponding sides  

   are proportional and the included angles are equal then the two  

   triangles are similar.

- Example : In triangle ABC and DEF, if m∠A = m∠D and  

  then the two triangles are similar by SAS

* Now lets solve the problem

- ∠KMJ is a aright angle and M is on JL

∴ m∠JML = 180° ⇒ straight angle

∵ m∠JMK + m∠LMN = m∠JML

∴ 90° + m∠NML = 180° ⇒ subtract 90° from both sides

∴ m∠NML = 90°

- In Δ KMJ and ΔNML

∵ m∠KMJ = m∠NML ⇒ proved

∵ m∠KJM = m∠NLM ⇒ given

- By using the second case above (AA similarity)

∴ Δ KMJ ≈ Δ NML

* The similar triangles are Δ KMJ and Δ NML

- From similarity

∴ Their sides are proportion

∴ [tex]\frac{KM}{NM}=\frac{MJ}{ML}=\frac{KJ}{NL}[/tex]

∵ KJ = 10 and NL = 5

∵ KM = 3 + x and NM = x

- Substitute these values in the proportion relation

∵ [tex]\frac{KM}{NM}=\frac{KJ}{NL}[/tex]

∴ [tex]\frac{3+x}{x}=\frac{10}{5}[/tex]

- By using cross multiplication

∴ 5(3 + x) = 10(x) ⇒ simplify

∴ 5(3) + 5(x) = 10x

∴ 15 + 5x = 10x ⇒ subtract 5x from both sides

∴ 15 = 5x ⇒ divide both sides by 5

∴ 3 = x

* The value of x is 3

∵ KM = 3 + x

∵ x = 3

∴ KM = 3 + 3 = 6

∵ NM = x

∴ NM = 3

* KM = 6 and NM = 3

- Check the ratio

∵ KM/NM = 6/3 = 2

∵ KJ/NL = 10/5 = 2

∴ The sides are proportion

Answer:

Triangle JMK is similar to triangle LMN.

[tex]x = 3[/tex].

[tex]\rm \overline{KM}= 6[/tex].

[tex]\rm \overline{NM} = 3[/tex].

Step-by-step explanation:

The angle [tex]\rm N\hat{M}L[/tex] is a right angle for it is complementary with another right angle, [tex]\rm K\hat{M}J[/tex].

The diagram also indicates that angle [tex]\rm \hat{J}[/tex] is equal to angle [tex]\rm \hat{L}[/tex]. As a result, [tex]\rm \triangle JMK \sim \triangle LMN[/tex] for two of their angles are equal.

Consequently,

[tex]\displaystyle \rm \frac{(\overline{MN})}{(\overline{MK})} = \frac{(\overline{LN})}{(\overline{JK})}[/tex].

Let [tex]x[/tex] be the length of segment [tex]\rm MN[/tex].

[tex]\displaystyle \frac{x}{3+x} = \frac{5}{10}[/tex].

Cross multiply. In other words, multiply both sides by [tex]10(3 + x)[/tex].

[tex]10x = 5(3 + x)[/tex].

[tex]x = 3[/tex].

[tex]\rm \overline{KM} = 3 + \mathnormal{x} = 6[/tex].

[tex]\rm \overline{MN} = \mathnormal{x} = 3[/tex].

Answer:

* The value of a1 = 945.65 ⇒ answer c

Step-by-step explanation:

* Lets revise the geometric series

- There is a constant ratio between each two consecutive numbers

- Ex:

# 5  ,  10  ,  20  ,  40  ,  80  ,  ………………………. (×2)

# 5000  ,  1000  ,  200  ,  40  ,  …………………………(÷5)

* General term (nth term) of a Geometric Progression:

- U1 = a  ,  U2  = ar  ,  U3  = ar²  ,  U4 = ar³  ,  U5 = ar^4

- Un = ar^n-1, where a is the first term , r is the constant ratio

 between each two consecutive terms, n is the position

 of the term

- The sum of first n terms of a Geometric series is calculate

  from Sn = [a1 (1 - r^n)]/(1 - r) , where a1 is the first term, r is the

  common ratio and n is the number of the terms

* Lets solve the problem

∵ Sn = 88,560

∵ r = 2.2

∵ n = 6

∵ Sn = [a1 (1 - r^n)]/(1 - r)

∴  88,560 = [a1 (1 - 2.2^6)]/(1 - 2.2) ⇒ simplify up and down

∴ 88,560 = [a1 (-112.379904)]/(-1.2) ⇒ simplify the fraction

∴ 88,560 = a1 (93.64992) ⇒ divide both sides by 93.64992

∴ a1 = 945.6494998 ≅ 945.65

* The value of a1 = 945.65

Answer:

Step-by-step explanation:

Book A:  Mass is 1000 g + 700g + 10 g, or 1720 g.

Book B:  Mass is 1500 g + 100 + 80, or 1680 g.

Book A has the greater mass:  1720 g versus 1680 g.

The difference in mass is 1720 g - 1680 g, or 40 g

Answer:

Book A has the greater mass:  1720 g versus 1680 g.

The difference in mass is 1720 g - 1680 g, or 40 g

Step-by-step explanation:

Book A:  Mass is 1000 g + 700g + 10 g, or 1720 g.

Book B:  Mass is 1500 g + 100 + 80, or 1680 g.

874.890 i think, sorry if im wrong

Answer:

the answer C) 3pi/2 semoga membantu

Answer:

4.5 mg per ounce

Step-by-step explanation:

To find the average caffeine content per ounce of Pepsi, take the caffeine and divide by the ounces

54 mg/12 ounces

4.5 mg per ounce

Answer:

The average caffeine content per ounce of Pepsi is 4.5 gm

Step-by-step explanation:

Given :A 12-ounce Pepsi contains 54 mg of caffeine

To Find : What is the average caffeine content per ounce of Pepsi? Round your answer to the nearest tenth, if needed.

Solution :

A 12-ounce Pepsi contains 54 mg of caffeine.

We are supposed to find the average caffeine content per ounce of Pepsi

Amount of caffeine in 12 ounces of Pepsi = 54 mg

Amount of caffeine in 1 ounce of Pepsi = [tex]\frac{54}{12}[/tex]

                                                             = [tex]4.5[/tex]  

Hence the average caffeine content per ounce of Pepsi is 4.5 gm

Answer: about 34.6

Step-by-step explanation: 11 is the radius, but you need the diameter which is 22. multiply 22 by pi and divide that number by 2 since it is half a circle.

Answer:

Either [tex]-4\sqrt{6}[/tex] or [tex]4\sqrt{6}[/tex], depending on whether [tex]\alpha[/tex] is larger than [tex]\beta[/tex].

Step-by-step explanation:

The two roots (might necessarily be distinct or real) of the quadratic equation

[tex]ax^{2} + bx + c = 0[/tex], where [tex]a[/tex], [tex]b[/tex], and [tex]c[/tex] are constants and [tex]a\ne 0[/tex] are

The difference between the two will be either:

[tex]x_1 - x_2 = 2\sqrt{b^{2} - 4ac}[/tex] or

[tex]x_2 - x_1 = -2\sqrt{b^{2} - 4ac}[/tex].

For this question,

[tex]x_1 - x_2 = 2\sqrt{(-6)^{2} - 4\times 3\times (-1)} = 4\sqrt{6}[/tex], or

[tex]x_1 - x_2 = -2\sqrt{(-6)^{2} - 4\times 3\times (-1)} = -4\sqrt{6}[/tex].

Answer:

Part 1) [tex]x=6.6\ units[/tex]

Part 2) [tex]DE=16.2\ units[/tex]

Step-by-step explanation:

Part 1) Find the value of x

we know that

Triangles CDF and FDE are similar

therefore

The ratio of its corresponding sides is proportional and its corresponding angles are congruent

so

[tex]CD/FD=FD/DE[/tex]

[tex]\frac{5}{9}=\frac{9}{2x+3} \\ \\5*(2x+3)=9*9\\ \\10x+15=81\\ \\10x= 81-15\\ \\10x=66\\ \\ x=6.6\ units[/tex]

Part 2) Find the length of DE

[tex]DE=2x+3[/tex]

substitute the value of x

[tex]DE=2(6.6)+3=16.2\ units[/tex]

Answer:

x = 6.6

Length of  =  16.2 units

For this case we have the following quadratic equation:

[tex]3x ^ 2 + 7x + 4 = 0[/tex]

Where:

[tex]a = 3\\b = 7\\c = 4[/tex]

According to the quadratic formula we have:

[tex]x = \frac {-b \pm \sqrt {b ^ 2-4 (a) (c)}} {2 (a)}[/tex]

Substituting:

[tex]x = \frac {-7 \pm \sqrt {7 ^ 2-4 (3) (4)}} {2 (3)}\\x = \frac {-7 \pm \sqrt {49-48}} {6}\\x = \frac {-7 \pm \sqrt {1}} {6}\\x = \frac {-7 \pm1} {6}[/tex]

We have two roots:

[tex]x_ {1} = \frac {-7 + 1} {6} = \frac {-6} {6} = - 1\\x_ {2} = \frac {-7-1} {6} = \frac {-8} {6} = - \frac {4} {3}[/tex]

Answer:

[tex]x_ {1} = - 1\\x_ {2} = - \frac {4} {3}[/tex]

Answer:

x = -4/3            x=-1

Step-by-step explanation:

3x^2 + 7x + 4 = 0

Factor the equation

(3x+4) (x+1) = 0

Using the zero product property

3x+4 =0         x+1 =0

3x+4-4=0-4    x+1-1=0-1

3x=-4                     x=-1

3x/3 = -4/3

x = -4/3            x=-1

Answer:

$40.35

Step-by-step explanation:

First, solve for the sales price. Change the percentage into a decimal:

60% = 60/100 = 0.60

Next, multiply 0.60 with the original price, 97:

97 x 0.60 = 58.2

Subtract 58.2 from the original price:

97 - 58.2 = 38.8

Now, change the tax percentage into a decimal.

4% = 4/100 = 0.04

Multiply 0.04 with the sales price:

38.8 x 0.04 = 1.552

Add the sales price (rounded to nearest hundredth) to the sales price:

1.55 + 38.8 = 40.35

$40.35 is your answer.

~

Answer:

40.35

Step-by-step explanation:

First find the discount

97 * 60%

97 *.6 = 58.2

Subtract the discount to find the new price

97-58.20 =38.80

Next find the tax

38.80 * 4%

38.80 * .04

1.55

We add the tax to the sales price

38.8+1.55

40.35