3 math questions multiple choice

Answer: 4x^2 + 2x + 3

Step-by-step explanation: long division method :)

The equation that would represent the gold medals won by the United States is 1 + 4F = 7 + F.

The gold medals won by France is 2.

The gold medals won by the United State is 9.

The equation that would represent the gold medals won by the United States would be a linear function. A linear function is a function that has a single variable that is raised to the power of one. A linear equation is a straight line that slopes either upward or downward when drawn on a coordinate plane.

The equation that represents the gold medals won by the United States is:

1 + ( 4 x F) = 7 + F

1 + 4F = 7 + F

In order to determine the value of F, take the following steps:

Combine similar terms together: 4F - F = 7 - 1

Add similar terms: 3F = 6

Divide both sides of the equation by 3 : F = 6 / 3

F = 2

The gold medals won by the United states

7 + 2 = 9

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The equation of the line passing through  (-4,-6), (5,-6) will be y = -6

In the given question, it is stated that the line passes through points  (-4,-6), and (5,-6). We need to find out an equation of the line that satisfies the given condition.

Firstly, we will need to find out the slope of the line. We can find the slope by using the point-slope form which is represented by:

=> [tex]m = \frac{y_{2}-y_{1} }{x_{2} - x_{1} }[/tex]

Putting values (x₁, y₁) =  (-4,-6) and (x₂, y₂) = (5,-6) we get:

=> [tex]m = \frac{-6+ 6 }{5+ 4 }[/tex]

=> m = 0

We get slope m = 0. Now, putting the value of slope into the point-slope form and taking (x₁, y₁) =  (-4,-6), we get values:

=> y - y₁ = m(x - x₁)

=> y + 6 = 0(x + 4)

=> y = -6

Hence, we get the equation of line y = -6

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Answer:

It is a function

Step-by-step explanation:

To know whether a graph is a function or not we practice vertical line test.

If the vertical line drawed touches the graph only at one point then we can confirm it's a function.

If an orca is swimming at the surface of the water and dives below the surface 25.5 feet. Then the orca swims up [tex]12\frac{1}{4}[/tex] , then the location of the orca relative to the surface of the water is 13.25 feet below the surface of water

The depth he dives below the surface = 25.5 feet

The the orca swims up  [tex]12\frac{1}{4}[/tex] feet

Convert the mixed fraction to simple fraction

[tex]12\frac{1}{4}[/tex] feet = 49/4 feet

Convert the simple fraction to the decimal number

49/4 feet = 12.25 feet

The distance orca dives below will consider as negative and the distance swims up will considered as positive

Then the position of orca = -25.5+12.25

= -13.25

Hence, if an orca is swimming at the surface of the water and dives below the surface 25.5 feet. Then the orca swims up [tex]12\frac{1}{4}[/tex] , then the location of the orca relative to the surface of the water is 13.25 feet below the surface of water

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In a sale, if the normal prices are reduced by 10% and David bought a pair of trainers in the sale for £36 then the marked price of these trainers was £40.

Original price is said to be as the price that was fixed by the MSRP (i.e said to be the Manufacturer’s Suggested Retail Price).

In most of the case scenario, the original price would taken to be as always lower than the current price and then also in some other cases, original price and current price can be taken as the same.

First you have to convert the total percent discount to a decimal by dividing by 100% . Step 2: Set up the equation P=(1−d)x P = ( 1 – d ) x to find the original price of the item where P is the sale price, d is the discount as a decimal, and x is the original price of the item.

The selling price, may be that of a product or a service, is said to be as the customer or client’s final price

To calculate the exact original price of a selected item, you have to divide the sale price by the value of 1 minus the entire value of the percentage off and then divided by 100.

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Answer:

∠ GHI = 17°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

∠ HIJ is an exterior angle of the triangle , then

∠ HJI = ∠ GHI + ∠ IGH , that is

7x - 18 = 2x - 3 + 2x + 15

7x - 18 = 4x + 12 ( subtract 4x from both sides )

3x - 18 = 12 ( add 18 to both sides )

3x = 30 ( divide both sides by 3 )

x = 10

Then

∠ GHI = 2x - 3 = 2(10) - 3 = 20 - 3 = 17°

Answer:

7(y - 2)

Step-by-step explanation:

7y - 14 ← factor out 7 from each term

= 7(y - 2)

Answer:

7(y -2)

Step-by-step explanation:

Factorize:

Find the GCF.

7y=  7 * y

 14 = 7 * 2

GCF = 7

7y - 14 = 7*y - 7*2

           = 7*(y - 2)

Cube rolled = 50 times

1 or 2 came up = 19 times

In percentage, that is >>>

So, 1 or 2 occured 38% of the times where it should occur around 20% of the times.

Looking at the answer choice, third option (C) is right.

A graph of this linear function (y = 3x + 6) is shown in the image attached below.

A graph can be defined as a type of chart that is commonly used for the graphical representation of data on both the horizontal line (x-axis) and vertical line (y-axis) of a cartesian coordinate.

Next, we would simplify the given linear function by dividing all through by 5 as follows:

5y - 15x = 30

5y/5 - 15x/5 = 30/5

y - 3x = 6

Rearranging the linear function, we have:

y = 3x + 6

In this context, we can reasonably and logically deduce that only the graph of a proportional relationship such as a linear function is always characterized by a straight line with all of the data points passing through the origin (0, 0).

In conclusion, a graph which represents the given linear function does not show a proportional relationship between the value of x and y.

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The number of passes that john has attempted this year is 500500500 passes

To solve this exercise the percentage formula and the procedure to be applied is as follows:

n= (% * nt) / 100

Where

Information about the problem:

Using the percentage formulate and isolating the total of the number portion (nt), we get:

n= (% * nt) / 100

nt = (n*100) / %

nt = (350350350* 100) / 70

nt = 500500500

Percentage is defined as the number that represents a ratio of a total that is divided by 100 equal parts. It is represented by the symbol %.

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Answer: -3

Step-by-step explanation:

[tex](3-1*4-1) \div 2-2=\\\\(3-4-1)\div2-2=\\\\(-2)\div2-2=\\\\-1-2=\\\\-3[/tex]

Answer:

3 cups to 2 cups

Step-by-step explanation:

6 divided by 2 = 3

4 divided by 2 = 2

and that equals 3 to 2 cups

2 more molecules are there at sea level compared to at an altitude of 33Km and 5 more molecules are there at  sea level compared to at an altitude of 50Km.

We have been told that there are less molecules in a cubic meter of air the higher in altitude we will go.

Part : A

Number of molecules at sea level = 1025 molecules

Number of molecules at an altitude of 33 km = 1023 molecules

Difference between number of molecules at sea level and number of molecules at an altitude of 33 km =  1025 - 1023 = 2 molecules

Part : B

Number of molecules at sea level = 1025 molecules

Number of molecules at an altitude of 50 km = 1020 molecules

Difference between number of molecules at sea level and number of molecules at an altitude of 50 km =  1025 - 1020 = 5 molecules.

So, we can conclude that  2 molecules are more at sea level compared to at an altitude of 33Km and 5 molecules are more  at sea level compared to at an altitude of 50Km.

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Answer:

Step-by-step explanation:

Let the sides be:

According to question are given:

Use Pythagorean to find the length of hypotenuse:

The first option is discarded, as all sides should be positive. With a = 1 we get negative value for c.

So a = 17 cm.

Find the other sides:

Find the perimeter:

Answer:

40 cm

Step-by-step explanation:

Pythagoras Theorem

[tex]a^2+b^2=c^2[/tex]

where:

Let a be the shorter leg.

If the hypotenuse is 1 cm longer than twice the shorter side then:

[tex]\implies c = 2a + 1[/tex]

If the hypotenuse is 2 cm longer than the other side then:

[tex]\implies c = b + 2[/tex]

Equate the two expressions for c and solve for b:

[tex]\implies b+2=2a+1[/tex]

[tex]\implies b=2a-1[/tex]

Substitute the expression for c involving a, and the expression for b involving a, into Pythagoras Theorem and solve for a:

[tex]\implies a^2+(2a-1)^2=(2a+1)^2[/tex]

[tex]\implies a^2+4a^2-4a+1=4a^2+4a+1[/tex]

[tex]\implies a^2-4a=4a[/tex]

[tex]\implies a^2-8a=0[/tex]

[tex]\implies a(a-8)=0[/tex]

[tex]\implies a=0, \quad a=8[/tex]

Since the length of a side cannot be zero, a = 8.

The perimeter of a two-dimensional shape is the distance around the outside.   Therefore, the perimeter of the triangle is the sum of its sides:

[tex]\begin{aligned} \implies \textsf{Perimeter}&=a+b+c\\&=a+(2a-1)+(2a+1)\\&=5a\end{aligned}[/tex]

Substitute the found value of a into the expression for the perimeter:

[tex]\begin{aligned} \implies \textsf{Perimeter}&=5(8)\\&=40\sf \; cm\end{aligned}[/tex]

Therefore, the perimeter of the triangle is 40 cm.

The percent Selina would have saved if she had a renters' insurance policy at a monthly cost of $19.00 is 93. 5%

A percentage can be defined as a ratio or number that is expressed as a fraction of 100.

It is represented with the symbol "%"

Based on the information given, we have that;

To determine the percent she saved for an insurance policy at a monthly cost of $19.00

We take the following steps;

Total cost - 6(insurance policy)/total cost × 100/1

Substitute the values

$1760 - 6(19.00)/1760 × 100/1

Subtract the numerators

1646/1760  × 100/1

Find the quotient

0. 935  × 100/1

Multiply through

93. 5%

Hence, the value is 93. 5%

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A possible solution for the equation is -5 ± √17/2.

The term quadratic equation is a term that cold be used to be able to describe a polynomial of degree 2. A polynomial of degree 2 is one in which the highest power of the algebraic terms present in the equation is 2.

We can rewrite the equation as;

x^2 + 5x + 2 = 0

Now what we need to do is to solve the quadratic equation and obtain its value.

By solving the quadratic equation as it have been shown in the question above, e can see that one of the solutions of the equation is; negative 5 plus or minus the square root of 17 divided by two.

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The composite function f(x). g(x) is represented as 3x² - 17x + 10

The composite function can be solved as follows:

f(x) = 3x - 2

g(x) = x - 5

Therefore, the composite function f(x). g(x) is as follows:

f(x). g(x) =  f(x) × g(x)

Hence,

f(x) × g(x)  = (3x - 2)(x - 5)

f(x) × g(x) = 3x²  - 15x - 2x + 10

f(x) × g(x) = 3x² - 17x + 10

Therefore, the function  f(x) × g(x) = 3x² - 17x + 10

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Answer:

I said right foot creep looking in that heat make sure it stay low make sure they don't see the devil under your feet your on the way to see em

this question don't make sense

Answer:

See below

Step-by-step explanation:

20 minutes = 1/3 hr

distance / rate = time

x = rate1      x+6 = rate2

39 mi / (  x +     x+6    m/hr ) = 1/3 hr

39/(1/3) = 2 x + 6

x = 55.5 mi/hr       x+6 = 61.5 mi/hr

The expression which represents how much money all three women make together, given they work the same number of weeks is (1,650w + 200)

Total amount all three women make together = (450w + 100) + (450w + 100) + (750w)

= 450w + 100 + 450w + 100 + 750w

= 1,650w + 200

So therefore, the total amount made by the three women is given by the expression 1,650w + 200

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The number of total seats in the theater is 1287 seats.

The formula to find the sum in an arithmetic sequence will be:

= n/2 (a + l)

where n = total number

a = first term

l = last term

The last term which is the 22nd term will be:

= a + 21d

= 27 + 21(3)

= 27 + 63

= 90

The sum will be:

= n/2 (a + l)

= 22/2 ( 27 + 90)

= 11 × 117

= 1287 seats

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To answer this question, first we need to properly understand the definition of median and mean, and also understand what it means to be "roughly symmetrical".

Let's start with the definition of median.

"the median is the value separating the higher half from the lower half of a data sample"

If we have an odd amount of elements in our dataset, the median is literally the middle element of our set.

Example:

We have four elements below 3, and four elements above 3, therefore, the median of this dataset is 3.

If we have an even amount of elements, the median is the mean between the two elements in the middle.

Example:

The elements in the middle are 1 and 2. This means our median is

1.5.

Now, let's understand the mean.

By definition, The Arithmetic Mean is the average of the numbers: a calculated "central" value of a set of numbers, given by the sum of all elements divided by the amount of elements.

Examples:

Now that we know what mean and median exactly are, let's try to understand what it means to be "roughly symmetrical".

When talking about histograms, Close to symmetric means the data are roughly the same in height and location on either side of the center of the histogram.

As the histogram gets closer to symmetric, the mean approaches the middle values, to be more specific, If the histogram is close to symmetric, then the mean and median are close to each other.

Since the statement says "roughly symmetrical" this is the only thing we can claim. If we have more values to the right in our roughly symmetrical distribution, the mean will be a little bit bigger than then median, and if we have more values to the left in our roughly symmetrical distribution, the mean will be a little bit smaller than then median.

Well, I hope this helps.

10-(9²) = 91

Answer:

Step-by-step explanation:

2x7(2•2)^2 14-9

what is the answer

2*7(2*2)^2 14-9 =                   (remember PEMDAS)

2*7*16*14-9=

14 * 16 * 14 -9=

224*14 -9=

3136 -9=

3127

Answer:

3.2 x 10⁶

Explanation:

Given the quotient:

We can rewrite the expression by removing the decimals as follows:

Next, we rewrite the powers of 10 so we can cancel out common terms.

Next, express the first fraction in the lowest possible form:

The quotient expressed in scientific notation is 3.2 x 10⁶.