(b) Circle the two pairs of numbers that have
Highest Common Factor (HCF) 4 \4 and
Least Common Multiple (LCM) 60

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.

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:

5, 4, 7

Step-by-step explanation:

In the concept of geometry, the pair of triangles that are congruent by the ASA Congruent Theorem are the pairs that have two corresponding angles and an included side that are congruent to each other.

Congruent:

Congruent refers the identical in shape and size.

Given,

Here we need to find in which pair of triangles is congruent by the ASA postulate.

As per the Angle-Side-Angle Congruent Theorem (ASA) states that when two triangles are considered congruent if they have two corresponding angles that are congruent and an included side that are congruent to each other.

So, this one included side is the side that is lie between the two congruent angles in each of the triangles.

Therefore, the triangle which form the pairs of angles given has two corresponding angles and an included side that are congruent to each other in each triangle.

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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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The equation that can be used to find the number of wolves in the state on January 1 is w - 23 = 84

A zoologist is recording the loss of wolves in her state. She notes the number of wolves, w, in the state on January 1. One year later, there were 84 wolves in the state, which is 23 fewer wolves than were in the state a year earlier.

The equation that can be used to find the number of wolves in the state on January 1 can be calculated as follows:

where

Therefore, the equation to represent the situation is as follows:

w - 23 = 84

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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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Answer: C. 1

Step-by-step explanation:

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

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:

100 times square times Y 49 gives= 14000

Answer:

2 1/4 kg

Step-by-step explanation:

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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The angle with 180° is a straight line, and the ray can be drawn in any way.

The definition of ray in maths, that it is a part of a line that has a fixed starting point but no endpoint.

Given that, angle PKW is 180 degrees and two additional rays were added,

The figure has been attached in answer.

We know when an angle measures 180° it makes a straight line and on it, we can draw as many ray as we want and in any way.

Hence, The angle with 180° is a straight line, and the ray can be drawn in any way.

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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

Answer:

Step-by-step explanation:

x = 32

x - 10 = 22

add 10 to both sides of the equation

-10 + 10 = 0

22+ 10 = 32

x = 32

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:

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.

Answer:

4

Step-by-step explanation:

3(-5x-5) + 19x = _x - 15

-15x-15+19x = _x - 15

4x - 15 = _x - 15

It has to be the same on both sides so 4 would go in that blank.

Answer: 4

Step-by-step explanation:

The total number of pounds of avocados Jenna bought is B. 2

A linear equation is an algebraic equation of degree one. In general, the variable or the variables(in the case of a linear equation in two variables) the variables are x and y.

Assuming Jenna bought x pounds of apples and y pounds of avocados.

Altogether she bought 7 pounds of apples and avocados.

∴ x + y = 7...(i)

Altogether, she spent $14. 25.

∴ 1.25x + 4y = 14.25...(ii)

Now multiplying eqn(i) by 1.25 and subtracting from eqn(ii) to cancel out the variable x, we get

2.75y = 5.5.

y = 2 pounds of avocados and hence 5 pounds of apples.

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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:

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

Step-by-step explanation:

Answer:

undefined

Step-by-step explanation:

The square root of any negative number is undefined because there is no possible solution. - × - = + and + × + = +

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 linear equation with a slope of 1/2 and that passes through the point (1, -2) is written in point-slope form as:

y = (1/2)*(x - 1) - 2

For a linear equation with a slope m and a known point (h, k), the slope-point form is written as:

y = m*(x - h) + k

Where y and x are the two variables.

Here we know that the slope is 1/2, and the known point is (1, -2), then the values on the equation above are:

m = 1/2

h = 1

k = -2

Replacing that in the general formula for the linear equation in the slope-point form that is written above, we will get:

y = (1/2)*(x - 1) - 2

That is what we wanted to find.

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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 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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Answer:

5/12

Step-by-step explanation:

we need to subtract these 2 fractions

3/4-1/3

to start we change so they can have common denominators and both of them can be 12

3x3/4x3-1x4/3x4

9/12-4/12

5/12

hopes this helps please mark brainliest

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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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)