A quadratic function and an exponential function are graphed below. Which graph most likely represents the exponential function?


A. p(x), because an increasing exponential function will always exceed an increasing quadratic function until their graphs intersect

B. t(x), because an increasing quadratic function will always exceed an increasing exponential function until their graphs intersect

C. p(x), because an increasing quadratic function will eventually exceed an increasing exponential function

D. t(x), because an increasing exponential function will eventually exceed an increasing quadratic function

Answer:

3 1/2 ; 3 19/20 ; 3 39/40

Step-by-step explanation:

Find common denominators. Change all mixed fraction to improper fractions before finding common denominators.

3 1/2  = 6/2 + 1/2 = 7/2

3 19/20 = 60/20 + 19/20 = 79/20

3 39/40 = 120/40 + 39/40 = 159/40

Find the common denominators. The smallest common denominators is 40. Remember that what you do to the denominator you do to the numerator:

3 1/2 = (7/2)(20/20) = 140/40

3 19/20 = (79/20)(2/2) = 158/40

3 39/40 = (159/40) = 159/40

Least to Greatest:

3 1/2 ; 3 19/20 ; 3 39/40

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Answer:

The linear term is -5x

Step-by-step explanation:

The linear term is the term that has the degree equal to 1.

The given function is

y = 2x^2 − 5x − 12

here 2x^2 = quadratic term i.e having degree 2

-5x = linear term i.e having degree 1

-12 = constant

so, The linear term is -5x

Answer:

10.5

Step-by-step explanation:

b=15/tan(55 degrees)=10.5

AC=10.5

Answer:

cluster system

Step-by-step explanation: For edgunity

This process is an example of cluster system.

The following information should be considered:

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Answer:

Multiply [tex] \frac { 3 } { 4 } [/tex] by 8.

Step-by-step explanation:

We are given the following expression and we are to find its quotient:

[tex] \frac { 3 } { 4 } [/tex] ÷ [tex] \frac { 1 } { 8 } [/tex]

This can also be written as:

[tex]\frac{\frac{3}{4}}{\frac{1}{8} }[/tex]

Since the two fractions are being divided so to change this division sign into a multiplication sign, we will take the reciprocal of the fraction in the denominator and multiply 3/4 by 8.

[tex]\frac{3}{4} \times 8[/tex] = 6

For this case we must find the quotient of the following expression:

[tex]\frac {\frac {3} {4}} {\frac {1} {8}} =[/tex]

Applying double C we have:

[tex]\frac {3 * 8} {4 * 1} =\\\frac {24} {4}[/tex]

This is equivalent to the following expression:

[tex]\frac {3} {4} * 8 = \frac {24} {4}[/tex]

Answer:

Option B

Answer:

-3x+11

Step-by-step explanation:

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

g(x) = 5x-9

(f-g)(x)=  2x+2 - (5x-9)

Distribute the minus sign

         = 2x+2 - 5x +9

Combine like terms

        = -3x+11

Step-by-step explanation:

the demonstrated property is the commutative property

The equation a + b + 7 = 7 + b + a demonstrates the commutative property of addition, which means that the order of addition does not change the sum.

The mathematical property demonstrated by the equation a + b + 7 = 7 + b + a is the commutative property of addition. This property states that the order in which two numbers are added does not affect the sum. In other words, swapping the operands does not change the result. As shown in the equation and the principles outlined, whether you add a to b or b to a, the sum remains the same. This is true for the addition of ordinary numbers as well— you get the same result whether you add 2 + 3 or 3 + 2, for example.

Answer:

Answer is in the explanation

Step-by-step explanation:

I don't know exactly word from word what your choices look like...

but I can describe per each box what happened in my own words:

First box:  They multiply first equation by 3 and the second equation by 2 to obtain the equations in that first box.

Second box: They subtracted the two equations in the first box to obtain 1x+0y=2 which means 1x=2 or x=2 (this is called solving a system by elimination

Third box: They used their first original equation (before the multiplication manipulation) and plug in the value they got for x which was 2 giving them 3(2)-2y=10

Fourth box: They simplified the equation 3(2)-2y=10 by performing the multiplication 3(2) giving them 6-2y=10

Fifth box:  They subtracted 6 on both sides giving them -2y=4

Sixth box:  They divided both sides by -2 giving them y=-2

I will summarize then what I wrote above:

1st box: Multiplication Property of Equality

2nd box: Elimination

3rd box: Substitution (plug in)

4th box: Simplifying

5th box:  Subtraction Property of Equality

6th box: Division Property of Equality

Answer:

7x^2a

Step-by-step explanation:

7x^3a+7x^2a^2

7x^3a = 7 xxxa

7x^2a^2= 7 xxaa

The common terms are 7xxa

7x^2a

This is the greatest common factor

Answer:

I THINK IT IS THE SECOND ANSWER

Step-by-step explanation:

Answer:

it is -413 - 33h2 +31h - 3

F is the answer I did the math

The diameter of the circle is approximately 20.37 cm, the radius is approximately 10.18 cm, and the length of an arc measuring 190 degrees is approximately 33.8 cm.

The subject at hand concerns the properties of a circle, more specifically its circumference, diameter, radius, and arc length.

In this case, we know that the circumference of the circle is 64 cm. The circumference of a circle is calculated by the formula 2πr (where r is the radius), or can also be viewed as πd (where d is the diameter). If we equate 64 = 2πr, we can thus find the radius, r = 64/(2π), resulting in roughly a radius of 10.18 cm. The diameter of the circle is simply twice the radius, hence in this context, it would be roughly 20.37 cm.

The length of an arc is calculated by multiplying the radius by the angle (in radian measure), which is represented as θ = s/r. In this case, the arc length is not given directly but we are given an angle of 190, and this seems to denote 190 degrees. Although it's important to mention that the standard measure for calculating arc length is radians, if we convert 190 degrees into radians, we get about 3.32 rad. Thus the length of this specific arc will be r*θ=10.18*3.32, resulting in an arc length of about 33.8 cm.

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The radius of the circle with a circumference of 64 cm is approximately 10.18 cm, the diameter of the circle is 20.36 cm and the length of an arc of 190 degrees in this circle is approximately 33.78 cm.

The given circumference is 64 cm. In a circle, the circumference is given by the formula 2πr = Circumference, where r is the radius and π is a constant approximately equal to 3.14. We can rearrange this formula to find the radius: r = Circumference / 2π. Substituting the given value of the circumference, we have r = 64 cm / 2π ≈ 10.18 cm. This is the radius of the circle.

The diameter of a circle is twice the radius, hence the diameter of the circle is 2 * 10.18 cm = 20.36 cm.

Now, to find the length of an arc of 190 degrees in this circle, we first understand that the total angle in a circle is 360 degrees. Hence, the length of the arc corresponding to 190 degrees will be the ratio of 190 to 360 times the circumference. Therefore, arc length = (190/360) * 64 cm ≈ 33.78 cm.

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Answer:

2pi/15

Step-by-step explanation:

The intersection of y=x and y=x^2 is (0,0) and (1,1)

Washer method

Prefered this method for this one since slices are perpendicular to axis of rotation

Integrate(Big circle - Small Circle)dx

Integrate(pi*(x)^2-pi*(x^2)^2)dx on x=0..1

Integrate(pi*x^2-pi*x^4)dx on x=0..1 is 2pi/15

Shells method

So I have to solve for x since I will be integrating with respect to y

The height of the the shell will be sqrt(y)-y

The radius will be y since that is the distance between axis of rotation in a point within the shell

Integrate(2*pi*r*h ) dy

Integrate(2*pi*(sqrt(y)-y)*y) dy on y=0..1 is 2pi/15

Answer:

200

Step-by-step explanation:

8x^2 + 80x = −5

Factor out an 8

8(x^2 + 10x) = −5

Take the coefficient of the x term, divide by 2 and then square it

10/2 = 5, 5^2=25

Remember we have the 8 outside, so we are multiplying by 8

8*25 =200

Add 200 to each side

8(x^2 + 10x + 25) = −5 + 200

Answer:

Missing number is 200.

Step-by-step explanation:

In the completing the square method we follow the following steps,

Step 1 : Move constant term to the right side,

Step 2 : Make 1 as the coefficient of [tex]x^2[/tex]

Step 3 : Add square of the half of the coefficient of x in the left side and balance the equation,

Here, the given equation,

[tex]8x^2+ 80x = -5[/tex]

[tex]8(x^2 + 10x) = -5[/tex]

∵ coefficient of x = 10,

Half of 10 = 5,

Square of 5 = 25,

Thus, we need 25 inside the bracket in left side,

For this, add 200 on both side,

[tex]8(x^2 + 10x+25) = -5+200[/tex]

Hence, missing number in the last step is 200.

Answer:

B :point 2 and point 3

Step-by-step explanation:

The only interior angles are 6, 2, 3, and 7

The angles equal to each other are 6 and 7 or 2 and 3

6 and 7 is not an option so 2 and 3 are the correct answer.

Answer:

f(f-1(17)) = 17

f-1(f(2)) = 2

Step-by-step explanation:

Lemma;

If f(x) and g(x) are inverses, then the compositions  f(g(x)) = g(f(x)) = x.

In both situations, we are determining the composite of inverse functions;

f and f-1

Answer:

375

Step-by-step explanation:

12½[30] → 25⁄2[30]

Multiply 25 by 30 [750] then divide by 2 to get 375.

I am joyous to assist you anytime.

Answer:

negative 1

2(3x-1)>4x-6

Answer:

Step-by-step explanation:

-1

Answer:

$1,475

Step-by-step explanation:

times 100 by 14 which is 1400

but then add 75 onto that

Answer:

$1475

Step-by-step explanation:

One week costs $100.

Note that:

The $75 enrollment fee is a one-time payment.

$100 per week is the amount that is paid per week, and can change depending on the amount of week they pay for.

In this case, the child would be there for 14 weeks. Set the equation. Let x = amount of weeks, and t = total cost:

100x + 75 = t

We know that the child will be there for 14 weeks, so plug in 14 for x.

(100)(14) + 75 = t

t = (100 * 14) + 75

Simplify. Remember to follow PEMDAS. Multiply first, then add:

t = (1400) + 75

t = 1475

The total cost for 14 weeks is $1475.

~

Answer:

A: The value of both expressions when w=1 is 28.

D: The two expressions are not equivalent.

Step-by-step explanation:

Given expressions are:

4(3w+4)

and

16w+12

For w=1

First Expression:

4(3w+4)

= 4[3(1)+4]

=4(3+4)

=4(7)

=28

Second expression:

16w+12

= 16(1)+12

=16+12

=28

For w=3

First Expression:

4(3w+4)

= 4[3(3)+4]

=4(9+4)

=4(13)

=52

Second expression:

16w+12

= 16(3)+12

=48+12

=60

Now looking at the statements:

A: The value of both expressions when w=1 is 28.

The statement is true because our calculated values of both expressions are 28 for w=1.

B: The two expressions are equivalent.

The two expressions are not equivalent because their values at w=3 are not same.

C: The value of both expressions when w=1 is 16.

The value of both expression when w=1 is 28 so this statement is not correct

D: The two expressions are not equivalent.

We can see by comparing the values that both expressions are not equivalent.

E: The value of both expressions when w=3 is 52.

F: The value of both expressions when w=3 is 60.

Both statements are false because both expressions have different values at w=3 ..

A. The value of both expressions when w=1 is 28. D. The two expressions are not equivalent. Statements A and D are true.

To determine if the two expressions are equivalent, we need to substitute w=1 and w=3 into both expressions. The first expression is 4(3w+4) and the second expression is 16w+12.

Step-by-step:

Based on these calculations:

Answer:

B 65

Step-by-step explanation:

The measure of the exterior angle is equal to the sum of the opposite interior angles

130 = y+y

130 = 2y

Divide by 2

130/2 = 2y/2

65= y

Answer:

4

Step-by-step explanation:

The integer A^2 will have 9 divisors:

1, p, q, p^2, pq, q^2, p^2q, pq^2, p^2q^2

Of these, the last 4 are greater than A. Hence there will be these 4 values of B.

Answer:

it removed body waste like and instructions

Answer:

(-1/2,3/2)

Step-by-step explanation:

The rule for dilation about (0,0) by a scale factor is given as:

(x,y)----------(kx,ky)

So if (4,6) was mapped to (2,3) by dilation it means;

x=4

kx=2

k=2/4 =1/2

Hence in this case, the dilation rule is ;

(x,y)---------(1/2x ,1/2y)

For (-1,3) ---------(1/2*-1, 1/2*3)

                         (-1/2, 3/2)

Answer:

[tex](-\frac{1}{2}, \frac{3}{2})[/tex].

Step-by-step explanation:

Since, the rule of dilation about origin by the scale factor k is,

[tex](x,y)\rightarrow (kx,ky)[/tex]

Given,

The dilation maps (4, 6) to (2, 3).

Let k be the scale factor for this dilation,

⇒ 4k = 2 ⇒ k = [tex]\frac{2}{4}=\frac{1}{2}[/tex],

Thus, under the dilation rule would be,

[tex](x,y)\rightarrow (\frac{1}{2}x,\frac{1}{2}y)[/tex]

Hence, (-1,3) would be mapped to [tex](-\frac{1}{2}, \frac{3}{2})[/tex].

Answer:

161 minutes

Step-by-step explanation:

$1827-$7=$11.27

$11.27/.07=161

Answer:

161 minutes

Step-by-step explanation:

Bill pays a monthly fee for his long distance phone service = $7.00

and call charges per minute = 7 cents

1 dollar = 100 cents

Therefore 7 cents = [tex]\frac{7}{100}[/tex] = $0.07

Last month, Bill's long distance bill was $18.27.

Let Bill used the phone service for x minutes

The equation for his uses in minutes :

7.00 +(0.07x) = 18.27

0.07x = 18.27 - 7.00

0.07x = 11.27

x = [tex]\frac{11.27}{0.07}[/tex]

x = 161 minutes

Bill was billed for 161 minutes.

Answer:

In step 1, he substituted into the volume formula incorrectly.

Step-by-step explanation:

James calculated the height of a cylinder that has a volume of 324 cubic inches.

radius = 12 inches.

The formula for volume is = [tex]\pi r^{2} h[/tex]

So, James calculated wrongly by using the wrong formula.

The step 1 is wrong.

Answer:

In step 1, he substituted into the volume formula incorrectly.

Step-by-step explanation:

Answer:

$26

Step-by-step explanation:

To find your answer, simply plug in Francesca's time and Phil's time to your cost equation.

Francesca can be represented by the following equation:

[tex]c=6.5(2)\\c=13[/tex]

Phil can be represented by the following equation:

[tex]c=6.5(6)\\c=39[/tex]

As such, Francesca pays $13 and Phil pays $39. Next, since you want to find how much more Phil paid, all you have to do is subtract 13 from 39. That will give you $26.

Answer:

r=reduced price

r=p-200

Step-by-step explanation:

Answer:

P = P - 200$

Step-by-step explanation:

P represents the phone's original price, and the phone's original price dropped 200$. Original price minus 200$.

Step-by-step explanation:

Mass = Volume x density

Mass = 8.4 gm

Density = 2.4 g/cc

Substituting

       8.4 = Volume x 2.4

       Volume = 3.5 cm³

[tex]\texttt{Volume of sphere =}\frac{4}{3}\pi r^3[/tex]

We need to find radius, r

Substituting volume value

              [tex]\texttt{Volume of sphere =}\frac{4}{3}\pi r^3=3.5\\\\r^3=0.836\\\\r=0.941cm=1cm[/tex]

Radius of grape = 1 cm  

To solve the problem we must know about volume.

The radius of the sphere is whose mass is 8.2 grams and has a density of 2 grams per cubic centimeter is 1 cm.

The volume can be defined as the space occupied by the three-dimensional object.

It is given by the ratio of mass(m) and density(ρ).

[tex]\text{Volume of the object} = \dfrac{m}{\rho}[/tex]

Given to us

Mass of the object, m = 8.4 grams

Density of the object, ρ = 2 gram/cm³

As it is already mentioned that the volume is equal to the ratio of its mass to density. therefore,

[tex]\text{Volume of the object} = \dfrac{m}{\rho}\\\\\text{Volume of the object} = \dfrac{8.4}{2}\\\\\text{Volume of the object} = 4.2\ cm^3[/tex]

Thus, the volume of the object is 4.2 cm³.

To find the radius of the sphere we will use the formula of the volume of the sphere.

[tex]\text{Volume of sphere} = \dfrac{4}{3}\pi r ^3[/tex]

Substitute the values,

[tex]4.2 = \dfrac{4}{3}\pi r ^3\\\\r = 1\rm\ cm[/tex]

Hence, the radius of the sphere is whose mass is 8.2 grams and has a density of 2 grams per cubic centimeter is 1 cm.

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Answer:

34.4°C (rounded up to nearest tenth)

Step-by-step explanation:

Given; F = [tex]\frac{9}{5}[/tex]C + 32

94°F = [tex]\frac{9}{5}[/tex]C + 32

[tex]\frac{9}{5}[/tex]C = 94 - 32 = 62

C = [tex]\frac{62 * 5}{9}[/tex] = 34.44444444°C

And is equal to: 34.4°C (rounded up to nearest tenth)

The Celsius temperature equaling 94 degrees Fahrenheit is 34.44°C.

To find the Celsius temperature equivalent to 94 degrees Fahrenheit using the formula F = (9/5)C + 32:

Substitute 94 for F: 94 = (9/5)C + 32

Then solve for C: C = (94 - 32) / (9/5) = 34.44°C

The Celsius temperature equaling 94 degrees Fahrenheit is 34.44°C.

Answer:

case 1) 972 in³

case 2) 1,458 in³

Step-by-step explanation:

Remember that

1 ft=12 in

case 1)

If the dimensions of the crate are

9 in x 9 in x 1 ft

Convert to inches

9 in x 9 in x 12 in

The volume is equal to

V=9*9*12=972 in³

case 2)

If the dimensions of the crate are

9 in x 9 in x 1 1/2 ft

Convert to inches

9 in x 9 in x (12*1.5) in

9 in x 9 in x 18 in

The volume is equal to

V=9*9*18=1,458 in³

Answer:

121.5

Step-by-step explanation:

9x9x1.5=121.5