Select the correct answer. Which statement correctly compares functions f and g? function f function g An exponential function passes through (minus 1, 5), and (2, minus 1.5) intercepts axis at (1, 0), and (0, 2) Function g is a decreasing exponential function with a y-intercept of 5 and no x-intercept. A. They have different end behavior as x approaches -∞ and different end behavior as x approaches ∞. B. They have the same end behavior as x approaches -∞ and the same end behavior as x approaches ∞. C. They have the same end behavior as x approaches -∞ but different end behavior as x approaches ∞. D. They have different end behavior as x approaches -∞ but the same end behavior as x approaches ∞.

Based on the total costs of buying at the two stores, it is not worth the extra drive going to the store across town.

The total costs for buying 5 pounds of chicken at each store are added to the total gas costs to and from each location to determine the total costs of each option.

Based on the cost difference of $1 ($18.34 - $17.34), it is not advisable to travel across town just for 5 pounds of chicken, especially when you factor in the wear and tear of the car along the distance and the time difference.

The cost of a pound of chicken at a neighborhood store = $2.99

The cost of a pound of chicken at the store across town = $3.29

The number of pounds of chicken required = 5 pounds

The distance to and from the neighborhood store = 4.6 miles (2.3 miles x 2)

The distance to and from the store across town = 17.6 miles (8.8 miles x 2)

The total time to and from the neighborhood store = 14 minutes (7 x 2)

The total time to and from the store across town = 42 minutes (21 x 2)

The time difference = 28 minutes.

Car's mileage per gallon = 19 mpg

The cost of gas per gallon = $3.66

The total cost of buying at the neighborhood store = $17.34 ($3.29 x 5 + $3.66 x 4.6/19)

The total cost of buying at the store across town = $18.34 ($2.99 x 5 + $3.66 x 17.6/19)

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Answer: C. 1

Step-by-step explanation:

[tex](-i)^6 =(-1)^6 i^6 =(-1)(-1)=1[/tex]

A rhombus is a quadrilateral with four equal-length sides. The term equilateral quadrilateral refers to the fact that all of its sides are the same length.

A rhombus is a subset of a parallelogram. The opposite sides of a rhombus are parallel, and the opposite angles are equal. Furthermore, all of the sides of a rhombus are the same length, and the diagonals intersect at right angles. A rhombus is also referred to as a diamond or rhombus diamond.

Show that a rhombus is formed when the diagonals of a quadrilateral intersect at right angles. We have a quadrilateral ABCD in which the diagonals AC and BD intersect at right angles at O. Their corresponding parts are all the same. As a result, the quadrilateral ABCD is a rhombus.

here know that

[tex]\angle A E D=\angle A E B & =\angle B E C \\[/tex]

[tex]& =\angle C E D=90^{\circ}[/tex]

in [tex]$\triangle A E B$[/tex]

[tex]\angle A E B+\angle E A B+\angle E B A=180^{\circ} \\[/tex]

Simplifying the above equation, then we get

[tex]90^{\circ}+\angle E A B+50^{\circ}=180^{\circ} \\[/tex]

[tex]\angle E A B=40^{\circ}[/tex]

[tex]$A B \mid C D$[/tex]

Hence,

[tex]\angle E A B & =\angle E C D=40^{\circ} \\[/tex]

[tex]8 \angle E D C & =\angle A B E=50^{\circ} \\[/tex]

[tex]\angle B C D & =\angle E C D+\angle E C B \\[/tex]

[tex]& \angle 40^{\circ}+50^{\circ} \\[/tex]

[tex]\angle B C D & \left.=90^{\circ}\right)[/tex]

Therefore,  ∠ B C D is 90°

The complete question is:

In the given figure, A B C D is a rhombus. Diagonals A C and B D intersect each other at E. If ∠ 1=50° then ∠ B C D =

a) 100°

b) 90°

c) 80°

d) None of these

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The Distributive property on the expression gives a result of 4.9 and the distributed expression is (2 + 4) * 0.82

From the question, we have the following parameters that can be used in our computation:

The expression is given as:

The product of 6 and 0.82

Mathematically, this expression can be represented as

6 * 0.82

To apply the distributive property,

We need to express 6 as the sum of two numbers

So, we have the following representation

6 * 0.82 = (2 + 4) * 0.82

Remove the brackets

6 * 0.82 = 2 * 0.82 + 4 * 0.82

Expand the terms of the expression

6 * 0.82 = 1.64 + 3.28

Evaluate the sum

6 * 0.82 = 4.92

Hence, the solution is 4.9

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An infinite number of triangle will be created by angles: 62°, 34°, and 84°

Infinite number of triangles are formed when no side is given

The three angles will produce an unlimited number of similar triangles if side lengths are not provided.

the option that correspond to this condition is the option that gave only angles and no sides which is angles: 62°, 34°, and 84°

Other options has sides or a side given and not in accordance to form infinite number of triangles

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A taxpayer's taxable income is reduced by the standard deduction. It makes sure that only families who make more than a specific amount of money will have to pay income tax. When submitting their tax returns, taxpayers have the option to take the standard deduction, which lowers their taxable income and the amount of taxes they must pay.

You might have to spend more time on your tax return. If you itemize, you'll need to set aside extra time when preparing your returns to fill out the big enchilada of tax forms: the Form 1040 and Schedule A, as well as the supporting schedules that feed into those forms.

Add up your itemized deductions and compare the total to the standard deduction available for your filing status. If your itemized deductions are greater than the standard deduction, then itemizing makes sense for you. If you're below that threshold, then claiming the standard deduction makes more sense.

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The domain of the function is x ∈ [ -4, ∞ )

Here, we are given a function as follows-

y = [tex]\sqrt{x + 4}[/tex]

Now, domain is the set of all input values that a function can take. Or in other words, it is the set of all values that the independent variable can take such that the function exists.

Here, the independent variable is x

We know that square root of a negative number is imaginary. Thus, for y to be real, (x + 4) must be greater than or equal to 0

⇒ (x + 4) ≥ 0

x ≥ -4

This means that for all values of x greater than or equal to -4, the function exists.

Thus, the domain of the function is x ∈ [ -4, ∞ )

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Your question was incomplete. Check for missing content below-

What is the domain of the function y = sqrt(x + 4)?

Answer:

Exponential functions have the form f(x) = bx, where b > 0 and b ≠ 1.

Step-by-step explanation:

Answer:

16.25

Step-by-step explanation:

3 x 0.75(chocolate covered cherries) = 2.25

3 x 4.25(mango smoothie) = 12.75

1 x 1.25( peanut butter cookie)= 1.25

12.75 + 2.25 + 1.25= 16.25

I hope this helps...

Answer:

Kaso spent $16.25 at Bella's bakery

Step-by-step explanation:

Each item costs a certain amount of money. What you have to do is multiply that amount by the number of each item. Then, add the sum.

Kason ordered 3 mango smoothies. Each smoothie costs $4.25. Therefore multiply 3(4.25)=12.75

Next, he ordered 3 chocolate covered cherries. Each cherry costs 0.75. Multiply 3(0.75)=2.25

Finally, Kason ordered 1 peanut butter cookie. Since each cookie costs 1.25, that is the amount he paid for the peanut butter cookie.

Add the 3 numbers together.

12.75+2.25+1.25=16.25

This is the amount of money he spent in total.

the d1 = 2A/d2 and d2 = 2A/d1 are correct options.

What is an Equations?

Equations are mathematical statements with two algebraic expressions on either side of an equals (=) sign. It illustrates the equality between the expressions written on the left and right sides. To determine the value of a variable representing an unknown quantity, equations can be solved. A statement is not an equation if there is no "equal to" symbol in it. It will be regarded as an expression.

The given A=a equals Start Fraction one-half End d1, d2, 2d1d2 where d1 and d2 are the lengths of the diagonals.

So the correct options are

d1 = 2A/d2

d2 = 2A/d1

Hence the d1 = 2A/d2 and d2 = 2A/d1 are correct options.

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Answer:

(-1, 7)

Step-by-step explanation:

First, set both equations equal to each other:

(y = x^2 – 4x + 2) = (y = -x^2 – 8x)

x^2 – 4x + 2 = -x^2 – 8x

x^2 + x^2 – 4x + 2 = -x^2 + x^2 – 8x

2x^2 - 4x + 2 = -8x

2x^2 - 4x +8x + 2 = -8x + 8x

2x^2 + 4x + 2 = 0

2(x^2 + 2x + 1) = 0

x^2 + 2x + 1 = 0

x^2 + x + x + 1 = 0

x(x+1) + 1(x+1) = 0

(x+1)(x+1) = 0

x+1=0

x=-1

y = -x^2 – 8x

y = -(-1)^2 – 8(-1) ==> plug in the x-value back into one of the equations

y = -1 – (-8)

y = -1 + 8

y=7

(-1, 7)

Answer:  The correct answer is (#3) this is a ssa situation, only one triangle is possible.

Step-by-step explanation:  Confirmed correct using the Law of Cosines.

The fourth term on expansion of the expression (d - 4b)^3 is d. [tex] {-64b}^{3} [/tex].

To find the fourth term in the expression in question, [tex] {(d - 4b)}^{3} [/tex] will be calculated by expanding the expression. The expression will be expanded based on the formula -

[tex] {(a - b)}^{3} [/tex] = a³ - 3a²b + 3ab² - [tex] {b}^{3} [/tex]. This expanded form of the expression has four terms. Hence, keeping the values on Left Hand Side, we will get four terms for the expression mentioned in question.

So, expanding the expression according to formula by keeping the values of a and b as d and 4b -

[tex] {(d - 4b)}^{3} [/tex] = d³ + 3d²4b + 3d16b² - [tex] {-64b}^{3} [/tex]

Now, depending on this expansion of the question mentioned in expression, [tex] {-64b}^{3} [/tex] is the fourth term. Thus it is the correct option.

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The complete question is -

What is the fourth term of (d - 4b)^3?

a. b^3

b. -b^3

c. 64b^3

d. -64b^3

The genotypic ratio is the distribution pattern of the genes in the offspring obtained after a genetic cross.

The phenotypic ratio is the distributionn pattern of the physical characteristics in the offspring obtained after a genetic cross.

To find a phenotypic ratio, we look at the alleles of the parent organisms and estimate how often those genes will be exhibited by the offspring.

Phenotype is the constellation of observable traits; genotype is the genetic endownment of the individual.

Phenotype = genotype + development (in a given environment).

The genotypic ratio and the phenotypic ratio may not necessarily be the same.

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A quadrilateral is a figure having four sides and four angles. The six types of quadrilaterals are rectangle, square, parallelogram, rhombus, kite and trapezoid.

According to the question,

We have to name six types of quadrilaterals by first defining a quadrilateral.

A quadrilateral is a figure where it has four sides and four angles. These sides and angles may sometimes be equal to each other and sometimes may be not. However, in all quadrilaterals, the sum of all four angles is 360°.

Six types of quadrilateral are rectangle (opposite sides of rectangle are equal), square (all sides are equal and each angle is a right angle), parallelogram (opposite sides are parallel and equal), rhombus, kite and trapezoid.

Hence, a quadrilateral is a figure having four sides and four angles. The six types of quadrilaterals are rectangle, square, parallelogram, rhombus, kite and trapezoid.

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Step-by-step explanation:

x = the integer number

8×(x + 2) - x = 86

8x + 16 - x = 86

7x = 70

x = 10

x + 2 = 12

the larger integer is 12.

Answer:

[tex]-16x^{2}[/tex]

Step-by-step explanation:

1. You take out the constants

(-2 x 8)[tex]xx[/tex]

2. Simplify -2 x 8 to -16

-16[tex]xx[/tex]

So the answer would be [tex]-16x^{2}[/tex].

Answer:

{(-1,4), (2, 4), (8,4), (10,4)}

all of the x-values are different

Step-by-step explanation:

The other three options have duplicate x-values with different y-values.

The measure of the largest side of the triangle is 102cm.

Ratio, is a term that is used to compare two or more numbers. It is used to indicate how big or small a quantity is when compared to another. In a ratio, two quantities are compared using division.

For example, 2:3:6 shows the ratio of the sides of a triangle. The perimeter which is the addition of the triangle is 187cm.

Therefore the measure of each side will be given as:

2/11×187= 34cm

3/11×187= 51cm

6/11×187= 102cm

This means that the measure of the three sides are 34cm, 52cm, and 102cm.

Therefore the measure of the largest side is 102cm

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The claim that every triangle has 3 equal sides and 3 equal angles is FALSE.

A triangle is a polygon with three edges and three vertices.

It belongs to the basic geometric shapes.

A triangle with vertices A, B, and C are represented by the letters △ABC.

Any three locations in Euclidean geometry that are not collinear result in a distinct triangle and a distinct plane.

All triangles are enclosed in a single plane if all of the geometry is the Euclidean plane, however, this is no longer true in higher-dimensional Euclidean spaces.

Except when otherwise specified, this article discusses triangles in Euclidean geometry, namely the Euclidean plane.

Triangles can be divided into three sorts based on the lengths of their sides, and they are Scalene,  Isosceles, and Equilateral.

Therefore, the claim that every triangle has 3 equal sides and 3 equal angles is FALSE.

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We will observe that the anticipated value is $0, indicating that Laura should anticipate neither winning nor losing any money after a significant number of games.

The predicted result of an experiment with N outcomes, each with a probability of p1, p2,..., pn, is:

EV = x₁*p₁ + ... + xₙ*pₙ

The results in this situation are:

x₁ = drawing an unlucky card = -$6

If there are five odd cards in a deck of ten cards, the probability is:

p₁ = 5/10 = 1/2.

x₂ = drawing a 2 = $2

There is only one 2 card on the deck, so the probability of drawing it is: p₂ = 1/10

x₃ = drawing a 4 = $4

p₃ = 1/10

x₄ = drawing a 6 = $6

p₄ = 1/10

x₅ = drawing a 8 = $8

p₅ = 1/10

x₆ = drawing a 10 = $10

p₆ = 1/10

So the expected value will be:

EV = (-$6)*(0.5) + ($2 + $4 + $6 + $8 + $10)*(1/10)

EV = 0

Thus, we will observe that the anticipated value is $0, indicating that Laura should anticipate neither winning nor losing any money after a significant number of games.

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Answer:

f(x) = 13

Step-by-step explanation:

f(x) = 7 means that x = 7

Plug this in:

3(7) - 8

21 - 8

13

f(x) = 13

3 cups is converted to 24 fl.oz.

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity

We need to convert 3 cups to fl.oz.

A fluid ounce is a unit used in the measurement of the volume of liquids. It is commonly abbreviated as fl. oz. (or fl oz)

By the omni chart we have 1 cup=8 fl.oz.

As there are 3 cups we have to multiply 8 with 3

3 cups = 24 fl.oz

Hence, 3 cups is converted to 24 fl.oz.

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The polynomial 1 / 10 x²  + 10 - 3x in standard form is 1 / 10 x² - 3x + 10.

The standard form of a polynomial is expressed by writing the highest degree of terms first then the next degree and so on.

Standard form simply refers to the format of a polynomial expression where the terms are arranged by decreasing order of degree. Where the degree is determined by the exponent value of the variable of each term.

Therefore, let's rewrite the expression in standard form.

1 / 10 x²  + 10 - 3x

Hence, in standard form,

1 / 10 x² - 3x + 10

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The factor theorem states that x+2 is a factor of x³+3x²+5x+6.

A factor is a number that completely divides another number.

To put it another way, if adding two whole numbers results in a product, then the numbers we are adding are factors of the product because the product is divisible by them.

The numbers that can divide a number exactly are called factors.

There is therefore no residual after division.

The numbers you multiply together to obtain another number are called factors.

A factor is therefore another number's divisor.

So, the expression is: x³+3x²+5x+6

Check whether x+2 is the factor:

Then,(x = -2)

p(-2) = (-2)³+3(-2)²+5(-2)+6

p(-2) = - 8 + 12 - 10 + 6

p(-2) = 0

Therefore, the factor theorem states that x+2 is a factor of x³+3x²+5x+6.

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Correct question:
Examine whether x+2 is a factor of x³+3x²+5x+6

Answer:

-32

Step-by-step explanation:

Simple

you will just substitute where there is x

for example if f(x)=3x+1 what is f(-2) so we will just substitute( place 2 for x)

it will now be f(-2)=3(-2)+1

=-6+1

=-5

so back to your question My friend

f(x)=4(3-x)

f(-11)=4(3-11)

=4(-8)

=-32

Thanks

Answer: One Real Solution

We can Identify the coefficients a, b, and c from your equation because as it says, it is in the format of the quadratic equation ( ax^2 + bx + c = 0 )

a=2,b=-4,c=2

Now we can use the discriminant to determine how many solutions this has using the equation b^2 - 4ac

Once we plug in our coefficients:

(-4)^2 - 4 x 2 x 2

Once we simplify, we get 0.

One real solution.

I hope this helps.

In this case, we first need to simplify the given quadratic equation 2x² - 4x = -2, and to do so, we perform the following simplification steps:

For a quadratic equation of the form ax² + bx + c = 0, the discriminant is calculated using the following formula:

   Δ = b² - 4ac

In this case, we have that the equation that we must solve is 2x²-4=-2, which implies that the corresponding coefficients are:

By introducing these values into the formula we get:

         Δ = b² - 4ac = (-4)² - 4·(2)·(2) = 0

Therefore, the discriminant for the given quadratic equation is Δ=0=0, which is zero, and indicates that the equation 2x²-4=-2 has only one real root.

Answer: See attached.

Step-by-step explanation:

      First, we will graph the two inequalities. We will graph as we would with normal linear equations.

      However, they both use the < sign, so we will shade above a dashed line.

      The solution to this system of inequalities is where the shaded parts overlap. You can see that in the attachment I have labeled it as such.

The unknown number of cases that to be shipped if there are 72 items to ship 6 in each case is 12.

To determine the total number of cases needed to ship 72 items, we need to divide the total number of items by the number of items in each case. In this case, we have 72 items to ship and each case can hold 6 items.

When we divide 72 by 6, we get 12. This means that there are 12 groups of 6 items that can be packed into cases. Each group represents one case.

Therefore, the total number of cases needed to ship 72 items is 12. Each case will contain 6 items, and there will be 12 cases in total.

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