Haley constructed this 10-sided polygon using triangles,
What is the minimum number of triangles required to construct this figure?
A.5
B.8
C.10
D.12

Answer:

2

Step-by-step explanation:

f(x)=2x^2+9x-5

When we are find how many times it intersects the x axis, we are finding the zero's. Set the equation equal to zero

0=2x^2+9x-5

Factor the equation

0 = (2x+1) (x-5)

2*1

1*-5 = -5

2*-5 +1*1 = -9

This checks for the first last and middle terms so we factored correctly

Then using the zero product property

2x+1 = 0 and x-5 =0

2x = -1    x=5

x = -1/2  and x=5

This function crosses the x axis 2 times

Answer:

No solution

Step-by-step explanation:

When put in a graphing calculator, the lines are parallel and will never intersect, therefore there is no solution.

Answer:

2

Step-by-step explanation:

Inconsistent if you look very close it doesn’t match

Answer:

[tex]b=5[/tex]

Step-by-step explanation:

The given equation is:

[tex]y=3x+5[/tex]

To find the point where this line intersect the y-axis, we put x=0 into the given equation.

When x=0, we have [tex]y=3(0)+5[/tex].

This implies that; y=5.

The y-intercept is (0,5).

Comparing (0,5) to (0,b), we can conclude that; b=5

The given equation is not in the correct form. Once corrected to y = -3x - 5, it's clear the y-intercept (b) is -5, so the line intersects the y-axis at the point (0, -5).

The equation of a line in the xy-plane is typically written in the form y = mx + b, where m represents the slope and b represents the y-intercept.

The y-intercept is the value of y when x is zero, which means it is the point at which the line crosses the y-axis.

In the case of the equation provided, y + 3x + 5, this equation is not yet in the standard form for the equation of a line. To find the value of b, we need to isolate y. The correct form of the equation should be y = -3x - 5. Here, the y-intercept b is -5. This means that the line intersects the y-axis at the point (0, -5).

Answer:  2nd answer

Step-by-step explanation:

Kevin should have used a 4 in the numerator because there are 2 red sections and 2 green sections.

The mistake that kevin make is:

It was given that there are 10 sections in the spinners 2 of each color.

Hence, in order to find the probability that the spinner lands on green or red is:

He need to find the total sections which are red or green,.

There are 4 sections which are red or green

( Since 2 are green and 2 are red)

and the probability that it will land on green or red is:

        [tex]=\dfrac{4}{10}\times 180\\\\\\=72[/tex]

Hence, she should have taken 4 in the numerator to calculate the probability.

Answer:

option D

Lines a and b are parallel and lines c and d are parallel.

Step-by-step explanation:

Given in the question four lines a , b, c, d.

If two parallel lines (a,b) are cut by a transversal(d), then corresponding angles m<7 and m<15 are congruent.

They are know as corresponding angles.

Hence lines a and b are parallel.

If two parallel lines (c,d) are cut by a transversal(d), then corresponding angles m<13 and m<13 are congruent.

They are know as corresponding angles

Hence lines c and d are parallel

Answer:

it has to be a is parallel to b

Step-by-step explanation:

Answer:

The sample undercuts the population of nestings

Step-by-step explanation:

The sample undercounts the population of nestlings would be a reasonable inference to make about the sample option, fourth is correct.

It is described as a collection of data with the same entity that is linked to a problem. The sample is a subset of the population, yet it is still a part of it.

We have:

The population mean of a sample of the nest counts is 28 examples of 6 – 9 nestlings, with a standard deviation of 3.

We have given reasonable inference to make about the sample:

As per the data given, we can say that The sample undercounts the nestling population.

Thus, the sample undercounts the population of nestlings would be a reasonable inference to make about the sample option fourth is correct.

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-2/17 + 9i/17 fractions

Answer:

- [tex]\frac{2}{17}[/tex] + [tex]\frac{9}{17}[/tex] i

Step-by-step explanation:

Multiply the numerator/denominator by the complex conjugate of the denominator.

The conjugate of 1 - 4i is 1 + 4i

[tex]\frac{(2+i)(1+4i)}{(1-4i)(1+4i)}[/tex] ← expand factors

= [tex]\frac{2+9i+4i^2}{1-16i^2}[/tex] → i² = - 1

= [tex]\frac{2+9i-4}{1+16}[/tex]

= [tex]\frac{-2+9i}{17}[/tex]

= - [tex]\frac{2}{17}[/tex] + [tex]\frac{9}{17}[/tex] i

ANSWER

[tex]x = 4[/tex]

and

[tex]y = - 1[/tex]

EXPLANATION

Line s has equation:

y=x-5

And line t has equation:

[tex]y = - \frac{3}{4}x + 2[/tex]

We equate the two equations to get:

[tex]x - 5 = - \frac{3}{4} x + 2[/tex]

Multiply through by 4

[tex]4x - 20 = - \frac{3}{4} x \times 4 + 2 \times 4[/tex]

[tex]4x - 20 = - 3 x + 8[/tex]

[tex]4x + 3x = 8 + 20[/tex]

7x=28

[tex]x = \frac{28}{7} = 4[/tex]

[tex]y = 4 - 5 = - 1[/tex]

Answer:

(4, -1) is the solution of the system of equations.

Step-by-step explanation:

A system of equations consists of a line y = x - 5 and a line passing through two points (0, 2) and (8, -4)

And the equation of that passes through these points will be [tex]y=-\frac{3}{4}x+2[/tex]

Now we have to find the solution of the system of linear equations.

By equating both the equations

x - 5 = [tex]-\frac{3}{4}x+2[/tex]

Now we multiply this equation by 4

4(x - 5) = -3x + 4×2

4x - 20 = -3x + 8

4x + 3x = 8 + 20

7x = 28

x = 4

Now we put x = 4 in the equation y = x - 5

y = 4 -5

y = -1

Therefore, (4, -1) is the solution of the system of equations.

Answer:

£480

Step-By-Step Explanation:

x = the original price of a computer

£x = 100% of the original price

The price of a computer was decreased by 30% to £336.

This means:

£336 = 100% - 30%

£336 = 70% of the original price

From this, we will find 1% of the original price.

£336 ÷ 70 = 1%

£4.8 = 1%

Since the original price ( x ) = 100% of the original price, we will find 100% of the original price.

£4.8 × 100 = 100%

£480 = 100%

Therefore, the original price of a computer = £480

Answer: 1 term

Reason:Polynomials are classified according to their number of terms. 4x3 +3y + 3x2 has three terms, -12zy has 1 term, and 15 - x2 has two terms. As already mentioned, apolynomial with 1 term is a monomial. A polynomial with twoterms is a binomial, and apolynomial with three terms is a trinomial.

Answer:

One Term

Step-by-step explanation:

The answer is one term, because there are no "+" or "-" happening. A term is only separated by the addition/subtraction sign, and since there are neither plus or minus, there is only one term.

Answer:

b

Step-by-step explanation:

Answer: From the cup to the hand

Given that the cup of coffee is at 90°C and the person has a body temperature of 36°C.

We know that 36 < 90.

So the temperature of the person is less.

The heat will flow from the higher temperature towards the lower temperature.

So the heat should flow from the cup to the hand.

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Answer:its c

Step-by-step explanation:

becuase you cant have a overdrawn bank becuase if you do you have to pay that and the fine.

The true statement about credit cards is that interest is charged if the balance is not paid each month (Option B). Credit cards provide a short-term loan, unlike debit cards, which draw directly from your bank account.

Credit cards work by providing a short-term loan from the credit card company to the user. If the balance is not paid each month, interest is charged on the remaining amount. This is different from debit cards, where money is immediately withdrawn from the user's bank account when making a purchase.

Therefore, option B is correct

Answer:

She must sell as least 20 candles

Step-by-step explanation:

Sharon has 50 dollars

She makes 2 dollars per candle

Money in 50+2c

She needs at least 90

90≤ 50+2c

We need to solve this inequality

Subtract 50 from each side

90-50≤ 50-50+2c

40 ≤ 2c

Divide by 2

40/2 ≤ 2c/2

20 ≤ c

She must sell as least 20 candles

90-50=40 40 divided by 2 = 20. sharon needs to sell 20 candles

Answer:

Correct choice is D. [tex]y=-x+3[/tex].

Step-by-step explanation:

pick any two points from the table say (0,3) and (1,2)

Now we we can use both points to find the equation of line.

slope [tex]m=\frac{y_2-y_1}{x_2-x_1}=\frac{2-3}{1-0}=\frac{-1}{1}=-1[/tex]

now plug slope m=-1 and any point say (0,3) into point slope formula

[tex]y-y_1=m\left(x-x_1\right)[/tex]

[tex]y-3=-1\left(x-0\right)[/tex]

[tex]y-3=-1\left(x\right)[/tex]

[tex]y-3=-x[/tex]

[tex]y=-x+3[/tex]

Hence correct choice is D. [tex]y=-x+3[/tex].

Answer:

the answer is b

Step-by-step explanation:

because the angle of 45 with the x and the answer once the graph have the number we can find the expressopm

Answer:

-5/6

Step-by-step explanation:

in order for a line to be parallel to the other it must have the same slope (angle)

The slope of a line parallel to a line with a slope of -[tex]\frac{5}{6}[/tex] is also −[tex]\frac{5}{6}[/tex], as parallel lines have identical slopes to demonstrate a consistent rate of change.

The question concerns the concept of parallel lines in coordinate geometry. When two lines are parallel, they have the same slope. Therefore, a line parallel to another line with a slope of −[tex]\frac{5}{6}[/tex] will also have a slope of −[tex]\frac{5}{6}[/tex]. This value reflects the consistent rate of change in the y-value per unit of change in the x-value along the line.

It's important to remember that this slope is unchanging for a given straight line, as it represents the regression line: a summary of the average relationship between two variables in a scatter diagram.

Answer:

F = 7

Step-by-step explanation:

Euler's formula relating faces, edges, vertices is

V - E + F = 2

8 - 13 + F = 2

- 5 + F = 2

F = 5 + 2

F = 7

The answer to your question is "A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 2 crosses, Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners."  Because this is the only plot described that fits with the data from the table with the information on how many cats, dogs, rabbits, and guinea pigs there are.

Answer:

A line with 4 tick marks labeled Cat, Dog, Rabbit, and Guinea Pig. Cat has 2 crosses, Dog has 3 crosses, Rabbit has 1 cross, and Guinea Pig has 3 crosses. The line is labeled Number of Pets, and title of graph is Pet Owners.

Step-by-step explanation:

Given,

Number of cats = 2,

Dogs = 3,

Rabbits = 1,

Guinea pigs = 3,

Thus, for making the data plot,

We will draw a line,

In which 4 ticks will mentioned, first is for cat, second is for dog, third is for rabbit and fourth is for guinea pigs,

Now, we draw crosses above the each mark that will shows their number.

( shown below )

Hence, second option is correct.

Answer:

The interior volume of the work box is 70 inches³

Step-by-step explanation:

* Lets talk about the volume of the regular solid

- The volume of the solid = area of the base × its height

- If the base of the solid shaped rectangle

∵ The area of the rectangle = Length × width

∴ The volume = Length × width × Height

* Now lets solve the problem

- The work box has three dimensions

# Length = 5 inches

# Width = 3.5 inches

# Height = 4 inches

∴ The work box is shaped a rectangular solid

∴ Its volume = Length × width × height

∵ Length = 5 inches

∵ Width = 3.5 inches

∵ Height = 4 inches

∴ The volume = 5 × 3.5 × 4 = 70 inches³

* The interior volume of the work box is 70 inches³

Answer:

Therefore, the plant that grew at a faster rate would be Megan’s at 2.5 inches per week.

Step-by-step explanation:

Megan's rate = 12 - 4.5 / 4 -1 = 2.5 inches per week

Suzanne's rate = 11 - 5 / 4-1 = 0.5 inches per week

Without the actual growth measurements, we cannot make a comparison or identify which plant grew faster.

Using the examples:

Suzanne's plant grew at a faster rate (1.5 inches/week) compared to Megan's plant (1 inch/week).

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.

We have,

To determine whose plant grew at a faster rate and what was the rate, we need information about the growth of their plants over the four-week period.

Without this information, we cannot determine the rate of growth or compare the rates of growth of their plants.

Assuming that we have the required information about their plant growth, we can compare the rates of growth of their plants by calculating the average weekly growth rate of each plant.

The plant with a higher average weekly growth rate grew at a faster rate.

For example:

If Megan's plant grew by 4 inches over four weeks, its average weekly growth rate would be:

The average weekly growth rate of Megan's plant = (Total growth in 4 weeks) / (Number of weeks)

= 4 inches / 4 weeks

= 1 inch/week

Similarly,

If Suzanne's plant grew by 6 inches over four weeks, its average weekly growth rate would be:

The average weekly growth rate of Suzanne's plant = (Total growth in 4 weeks) / (Number of weeks)

= 6 inches / 4 weeks

= 1.5 inches/week

In this example:

Suzanne's plant grew at a faster rate (1.5 inches/week) compared to Megan's plant (1 inch/week).

Thus,

Without the actual growth measurements, we cannot make a comparison or identify which plant grew faster.

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The correct answer is B.

Distance = speed x 90

Answer:

It’s b

Step-by-step explanation:

Answer:

D is false

Step-by-step explanation:

f(x) = -2x2 + 4x + 6 should be written with a " ^ " to indicate exponentiation:

f(x) = -2x^2 + 4x + 6.

Because of the - sign, we know that the graph of this function opens down, so there is a maximum at the vertex.  We can determine the x-value at the vertex by using the formula x = -b/(2a), which here is x = -4/(2*-2), or 1.

Evaluating f(x) = -2x^2 + 4x + 6 at x = 1, we get -2 + 4 + 6, or 8.  So statement A is true:  there's a max at (1, 8).  This is also the vertex of the graph.

Let's now look at C and D.  We evaluate f(x) at x = 3 and x - 2.  If the output (y) value is 0, we know we have an x - intercept:

f(3) = -2(9) + 4(3) + 6 = 0.  Yes, C is true, (3, 0) is an x-intercept.

f(-2) = -2(4) - 8 + 6 is not 0.  Therefore D is false; (-2, 0) is not an x-intercept.

Look at B:  Let x = 0 and find y:  it's 6.  Thus, (0, 6) is the y-intercept.  B is true.

Answer:

B) x + 12 < 8 − 3x

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

you substitute:

(x+y)= (-3+5)= (5-3)= 2(0)= 0

Option: A is the correct answer.

             A.  Graph A

Among the given graphs Graph A is such that both the ends of the graph goes in the same direction while in other they goes in opposite direction.

            Hence, the correct answer is:

                     Graph A

Answer:

yes you are

Step-by-step explanation:

Answer:

[tex]\large\boxed{x=\pm\sqrt{13}}[/tex]

Step-by-step explanation:

[tex]10x^2-6=144\qquad\text{add 6 to both sides}\\\\10x^2=130\qquad\text{divide both sides by 10}\\\\x^2=13\to x=\pm\sqrt{13}[/tex]

Answer:

multiply.0325 and 12,500 to get commission

Answer:

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

Step-by-step explanation:

f(x) = 3x³-12x²+9x = 3x(x²-4x+3) =

= 3x(x²-x-3x+3) = 3x[x(x-1)-3(x-1)] =

= 3x[(x-1)(x-3)] = 3x(x-1)(x-3)

Answer:

3x(x - 1)(x - 3)

Step-by-step explanation:

the sum of the coefficients = 3 - 12 + 9 = 0

hence x = 1 is a root of f(x) and (x - 1) is a factor

dividing 3x³ - 12x² + 9x gives

f(x) = (x - 1)(3x² - 9x)

    = (x - 1)3x(x - 3) = 3x(x - 1)(x - 3) ← in factored form