Create an image of rectangle ABCD that is
translated 6 units to the right and 3 units up
by plotting the corresponding vertices.
Plot the vertex that corresponds to A.

Answer:

zeroay horizontal stretch vertical shrink

Step-by-step explanation:

1+1=2

Answer:

• x-intercept: (-1.5, 0).

• y-intercept: (0, 1).

Explanation:

Given the function:

(a)x-intercept

The x-intercept is the value of x at which f(x)=0.

When f(x)=0

The x-intercept is located at (-1.5, 0).

(b)y-intercept

The y-intercept is the value of f(x) at which x=0.

When x=0

The y-intercept is at (0, 1).

(c)Graph

The graph of f(x) is given below:

There would be 20 guests for the restaurants to cost the same

Linear equations are equations that have constant average rates of change.

Note that the constant average rates of change can also be regarded as the slope or the gradient

From the question, we have the following parameters:

Red Lobster

Rate per person = $30

Set up fee = $100

Olive Garden

Rate per person = $25

Set up fee = $200

So, the equations of the restaurants are

Red Lobster = 30g + 100

Olive Garden = 25g + 200

Where the number of guests is g

When the restaurants cost the same amount, we have

Red Lobster = Olive Garden

Substitute the known values in the above equation

So, we have

30g + 100 = 25g +200

Evaluate the like terms

5g = 100

Divide by 5

g = 20

Hence, the number of guests is 20

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The simple interest formula is A = P(1+r t) then the value of t =33.2210 years.

Simple interest is a quick and simple formula for figuring out how much interest will be charged on a loan. The daily interest rate, the principle, and the number of days between payments are multiplied to calculate simple interest.

The simple interest formula is equal to

A = P(1+r t)

where, A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest

t is Number of Time Periods

P = $ 3300

A = $ 10700

r = 6.75 % = 6.75 / 100 = 0.0675

substitute in the formula above

$10700 = 3300(1+0.0675 t)

simplifying the above equation, we get

Divide both sides by 3300

[tex]$\frac{3300(1+0.0675 t)}{3300}=\frac{10700}{3300}$$[/tex]

Simplifying the above equation, we get

[tex]$1+0.0675 t=\frac{107}{33}$$[/tex]

Subtract 1 from both sides

[tex]$1+0.0675 t-1=\frac{107}{33}-1$$[/tex]

Simplifying the above equation, we get

[tex]$0.0675 t=\frac{74}{33}$$[/tex]

Divide both sides by 0.0675

[tex]$\frac{0.0675 t}{0.0675}=\frac{\frac{74}{33}}{0.0675}[/tex]

[tex]$t=\frac{74}{2.2275}$[/tex]

t = 33.2210 years

Therefore, the value of t exists 33.2210 years.

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The value of the expression x^6 -5x^4 - 5 + x when simplified is x^4(x^2 - 5) - (5 + x)

The statement is given as

Factor: x^6 -5x^4 - 5 + x

From the above expression, we have

x^6 -5x^4 - 5 + x

Group the expression in two'2

So, we have

x^6 -5x^4 - 5 + x = (x^6 - 5x^4) - (5 + x)

Factorize each group of the expression

So, we have

x^6 -5x^4 - 5 + x = x^4(x^2 - 5) - (5 + x)

The above expression cannot be further simplified

Hence, the value of x^6 -5x^4 - 5 + x is x^4(x^2 - 5) - (5 + x)

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The question asks us to confirm the simplification of the expression:

Step 1: Factor the numbers

Therefore, the expression becomes:

Step 2: Cancel out the common terms from the expression

Step 3: Apply the rule of exponents

Therefore, we have:

CONCLUSION

The expression simplifies to give:

The answer is TRUE.

Answer:

The second one is the Multiplicative Property of Zero.
The fourth one is the Commutative property.

Answer:

The second and third one

Step-by-step explanation:

To complete the perfect trinomial, we add (5/2)² to the given equation and get:

Subtracting 6 we get:

Therefore:

Finally, we get:

ANSWER:

STEP-BY-STEP EXPLANATION:

We have the following system of equations:

To graph, we calculate the intercepts in each equation to then draw the straight line corresponding to each equation, like this:

Now we graph:

After conducting mathematical operations, we know that 11/3÷2/3 leaves a remainder of 5½.

So, 11/3÷2/3:

Therefore, after conducting mathematical operations, we know that 11/3÷2/3 leaves a remainder of 5½.

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Given Data:

Total working hours is = 51 hours.

Pay rate=$8.45.

OT rate=1.5 times the regular pay rate.

Regular working hours is 40 hours.

Regular pay can be determined as,

Thus, the regular pay is $338.

The OT rate can be determined as,

Thus, the overtime rate is $ 12.68.

The overtime pay can be determined as,

Thus, the overtime pay is $139.43.

The gross pay can be determined as,

Thus, the gross pay is $ 447.425.

The correct option is option B i.e., 36 + 9 = 3(12 + 3) is an equation representing distributive property.

What is distributive property ?

Distributive property states that the outcomes are the same whether the numbers in parenthesis are added before or after multiplication.

We know that according to the distributive property both sides must be equal such that the outcomes are same whether the numbers in parenthesis are added before or after multiplication. The expression for distributive property is given as : a(b + c) = ab + ac

So , checking the options one by one :

A) 36 + 9 = 45 ; is not an equation representing distributive property as it doesn't satisfy the criteria of a distributive property.

B) 36 + 9 = 3(12 + 3) is an equation representing distributive property as it satisfies the criteria mentioned above i.e.,

36 + 9 = 3 × 12 + 3 × 3

36 + 9 = 36 + 9

45 = 45

C) 36 x 9 = 9 x 36 is not an equation representing distributive property.

D)  (12 + 3) × 3 = 3 × (12 + 3) is not an equation representing distributive property because both sides are written in the same way.

Therefore , correct option is option B i.e., 36 + 9 = 3(12 + 3) is an equation representing distributive property.

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Answer:

x=\frac{1}{4}(h-12y-2)x=4

Step-by-step explanation:x=\frac{1}{4}(h-12y-2)x=

4

1

(h−12y−2)

Step-by-step explanation:

We are given the equation h=4(x+3y)+2h=4(x+3y)+2 .

Simplifying for x, we get,

h=4(x+3y)+2h=4(x+3y)+2

i.e. h=4x+12y+2h=4x+12y+2

i.e. 4x=h-12y-24x=h−12y−2

i.e. x=\frac{1}{4}(h-12y-2)x=

4

1

(h−12y−2)

Thus, the equation for x is x=\frac{1}{4}(h-12y-2)x=

4

1

4 basketballs

Explanation

Step 1

Ms. Banks divides 18 basketballs evenly among 3 bag

divide the 18 basketballs by 3 bags

Step 2

now, she takes 2 from each bag, so

Hence, the answer is 4 basketballs.

I hope this helps you

Answer: its not correct because the got different perenties or groupings and they mean different meaning  

Step-by-step explanation:

A)

In order to check this sentence, we need to convert the value from foot to yard.

Knowing that 1 yard is equal 3 feet, we have that:

So Debbie's affirmation is incorrect, therefore we disagree.

B)

First we need to calculate the area of the table cloth.

Converting the length to foot, we have:

Now, calculating the area (which is the product of the length and the width), we have:

If each square foot is $0.25, we just need to multiply the area by the cost of one square foot in order to find the cost of the fabric for the table cloth:

So the cost is $30.

Percentage of a number

Find a number which

its a 100% percentage

henW

When 232 is 290%

Then find

X = (100%/290)• 232

Divide 232/29 = 10% = 8 exactly

Now multiply by 10 = 10• 8 = 80

Then 100% = 80

Data Input

1 Adult + 2 children

The price for all three family members

$76

Procedure

Adult ticket = $28

1 Adult + 2 children = $76

2 children = 76 - 1 adult

2 children = 76 - 28

2 children = 48

children = 48/2

children = 24

Answer:

152 cm

Step-by-step explanation:

Perimeter of kite= 2(a+b)

P= 2(AB+CD) = 2(29+47) = 2 *(76) = 152 cm.

If something remains unclear, be free to ask questions!

After 6 years, Zandile earns an interest of rupees 608.9 after investing her Christmas bonus for R 875.00 in a bank that offers interest rates of 9% p.a. compounded half-yearly.

The simplest way to calculate interest is as a percentage of the principal. For instance, if you agreed to borrow $100 from a friend with 5% interest, the interest you would pay would only be 5% of $100: $100(0.05) = $5.

Compound interest is when an amount receives interest on top of it each time interest is paid on the original amount. The principal (original) sum and the interest that has already accrued over the course of previous periods are used to calculate compound interest.

Here,

Principal amount= 875

Rate of interest= 9% pa

Compounding= half-yearly (2/year)

Time= 6 years

A = P(1 + r/n)ⁿᵇ

A=final amount

P=initial principal balance

r=interest rate

n=number of times interest applied per time period

b=number of time periods elapsed

A=875(1+9/6)⁶*²

A=₹1,483.90

Zandile invests her Christmas bonus of R 875.00 in a bank that offers interest rates of 9% per year compounded semi-annually, and after 6 years, she earns an interest of Rs 608.99.

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Let

x ----> number of average-weight crates

so

we have that

solve for x

therefore

Answer: (-1, 0)

The interval of decreasing refers to the interval of x-values where the graph is decreasing or going down.

If we look at the graph:

We can see that the graph starts to decrease or "go down" at values x = -1 and x=0. With this, we can conclude that the interval of decrease for the given graph is (-1, 0)

We will get 406 after multiplication .

What does multiply mean?

   58 * 7 = 406

We will get 406 after multiplying .

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Hello!

The rule for a reflection across the x-axis is:

Knowing it, let's write some points that the red line passes through:

(-2, 0) and (0, 4).

Now, let's use this rule and change the sign of the y coordinate:

• (-2, 0) → (-2, 0) because +0 or -0 doesn't exist.

• (0, 4) → (0, -4)

Let's analyze it and find a line that passes through these two points:

(-2, 0) and (0, -4)

It will be the blue line.

You can write the relation between distance and time, as follow:

y = kx

where y is the distance, x is the time and k is the constant of proportionality.

k can be obtained with the given information, as follow:

k = 90/30 = 3

Then, the equation of the relationship is:

y = 3x,

for a time of 10 seconds, the distance traveled is:

y = 3(10) = 30

Hence, the answer is:

y = 3x , 30 feet

[tex]y = -1.25 x^{2}+ 5[/tex]  is the needed quadratic function in standard form.

A quadratic equation is one with a single degree 2-variable and has the general form  [tex]a x^{2} + bx + c = 0.[/tex]  a, b, and c is the constant value, and x consists of a variable.

The quadratic equation's x-intercepts are (-5, 0). That indicated that the quadratic equation's two elements are (x + 5) and (x -0).

f(x) = a (x + 5) (x - 0) (x - 0)

= ax+5a

f(x) = [tex]ax^{2} +5x[/tex]

The quadratic equation's graph goes through (4, 0). Therefore, we must change equation 1 to read x = 4 and f(x) = 0.

0 = a × 4² + (5 × 4)

0 = a × 16 +20

a = [tex]\frac{-20}{16}[/tex]

=-1.25

The quadratic equation is known to have the form ax² + bx + c = 0.

f(x) = -1.25[tex]x^{2}[/tex] + 5x  

Consider y= F(x)

∴ The required quadratic equation of function in the standard form is Y = -1.25 x² + 5x.

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The probability of the sample mean is 0.2008.

What is probability?
Probability is the quality or state of being probable the extent to which something is likely to happen or be the case.

Sol-Let x be a continuous random variable that has a normal distribution with
μ=48 and σ=8
Thus,
X~N(48,8^2/16)
The standardized value of x is obtained by :
Z= X-48/√8^2/16~N(0,1)

The probability that the sample mean x for a random sample of 16 taken from this population will be between 49.62 and 52.80 can be obtained as:

P(49.62<x<52.80)

P=(49.62-48/√8^2/16<x-48/√8^2/16<52.80-48/√8^2/16)

=P(0.81<Z<2.4)

=P(Z<2.4)-P(Z<0.81)

=0.9918-0.7910

=0.2008
There for the probability is 0.2008.

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Therefore

Answer: No

Step-by-step explanation:

The graph fails the vertical line test, and thus the graph does not represent a function.