What number is represented by 4x2+17x+2if x=10?

The x-intercept is (-9, 0) and there is no y-intercept (option b).

To determine the x- and y-intercepts for the graph defined by the equation x = -9, we need to understand the concept of intercepts. The x-intercept is the point at which the graph intersects the x-axis, and the y-intercept is the point at which the graph intersects the y-axis.

Given the equation x = -9, we can see that the value of x is fixed at -9. This means that the graph will be a vertical line passing through the point (-9, 0) on the x-axis.

Now, let's analyze the answer choices:

a. x-intercept is (-9, 0))

This statement is correct. The x-intercept is indeed (-9, 0) since the graph passes through this point on the x-axis.

No y-intercept

This statement is also correct. Since the graph is a vertical line, it does not intersect the y-axis, so there is no y-intercept.

Based on the analysis of the answer choices, the correct answer is option a: The x-intercept is (-9, 0), and there is no y-intercept.

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Answer:

I think 123 Cups tell me if im wrong

Step-by-step explanation:

Answer:Hey it is 44

Step-by-step explanation:

did you mean name every flavor of pie

The sequence of natural numbers that leaves a remainder of 3 when divided by 10 is:

3, 13, 23, 33, 43, 53, 63, 73, 83, 93, 103, 113, ...

\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)

♥️ \(\large{\underline{\textcolor{red}{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)

The height of bridge in the square is 15 units. This is determined by using the ratio of sides in a 30-60-90 triangle and multiplying the hypotenuse by the corresponding ratio for the shorter leg, which is 1.

Let's calculate the height of the bridge step by step using the given information

In a 30-60-90 triangle, the ratio of the sides is 1:√3:2.

Given:

Hypotenuse = 15

Step 1: Determine the length of the shorter leg (height of the bridge)

Since the ratio is 1:√3:2, the length of the shorter leg can be found by multiplying the hypotenuse by the ratio corresponding to the shorter leg, which is 1.

Length of the shorter leg = 15 * 1 = 15

Step 2: Simplify the expression for the shorter leg

Since the hypotenuse of the 30-60-90 triangle is given as 15, the length of the shorter leg is also 15.

Height of the bridge = 15

Therefore, the height of the bridge is 15 units.

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Answer:

The function y =f (x) is graphed below. Plot a line segment connecting the points on f where x = -9 and x = -3. Use the line segment to determine the average rate of change of the function f (x) on the interval -9 <x <-3?

Step-by-step explanation:

I am not sure where or what you are talking about?

Answer:

Step-by-step explanation:

A rectangular pyramid has five sides. It consists of a rectangular base and four triangular faces that meet at a common vertex or apex.

≧◉◡◉≦

Answer:

$240

Step-by-step explanation:

this would be solved using simultaneous equation

let c = cost of cds

d = cost of dvds

two equatiions can be derived from the question

5d + 9c = 285 eqn 1

5d + 5c = 225 equation 2

subtract equation 2 from 1

4c = 60

c = 15

substitute for c in eqn 1

5d + 9(15) = 285

5d = 150

d = 30

5(30) + 6(15) = 240

The width of the driveway in terms of x is 5x - 2.

To find the width of the driveway in terms of x, we need to divide the area of the driveway by its length.

The area of the driveway is given as 5x² + 43x - 18, and the length is x + 9.

Therefore, the width (W) can be calculated by dividing the area by the length:

W = (5x² + 43x - 18) / (x + 9)

We can simplify this expression further by performing polynomial long division. However, since the length of the driveway is x + 9, we can deduce that x + 9 is a factor of the area polynomial (5x² + 43x - 18) based on the factor theorem.

Using synthetic division or factoring, we can divide the polynomial 5x² + 43x - 18 by x + 9 to find the quotient, which will represent the width of the driveway:

       -9 |   5    43    -18

            -----------------

              5    -2     0

From the synthetic division, we obtain a quotient of 5x - 2.

Therefore, the width of the driveway in terms of x is 5x - 2.

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Answer:

34°

Step-by-step explanation:

m∠1 = 34° (Given)

m∠5 = m∠1 (corresponding angles)

\(\implies m\angle 5 =34\degree\)

Answer:

what does that E thing mean

Step-by-step explanation:

The sum of the two complex numbers will give:

(-4 + i) + (10 - 5i) = 6 - 4i

So the correct option is the third one.

Let's assume we have two complex numbers which are:

A = a + bi

B = c + di

The sum between these two complex numbers is:

A + B = (a + bi) + (c + di)

Taking i as a common factor we can rewrite:

(a + bi) + (c + di) = a + c + (b + d)i

And that is the general sum.

Here we want to solve:

(-4 + i) + (10 - 5i)

Again, if we take i as a common factor we can rewrite:

-4 + 10 + (1 - 5)*i

6 - 4i

So the correct option is the third one.

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Answer:

7/10 or 0.7

Step-by-step explanation:

hope it helps

Answer: i don't understand

Age is the most likely lurking variable in this scenario.

Height is a measure of how tall or high something is, typically referring to the distance from the bottom to the top of an object or the distance between a surface and the top of an object above it. Height can be measured in various units such as meters, feet, or inches. For example, the height of a person, a building, or a mountain can be measured in meters or feet.

Given by the question: -

As people age, they are more likely to experience male pattern baldness, and they are also at higher risk of severe illness from COVID-19. Therefore, the association between male pattern baldness and severe COVID-19 may be due to age rather than any direct causal link between baldness and COVID-19 severity. It is important to account for potential lurking variables in any study to avoid drawing incorrect conclusions about causation.

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The angle the tower makes with the hill is approximately 44.77 degrees.

To find the angle the tower makes with the hill, we can use trigonometry. Let's denote the angle the tower makes with the hill as θ.

Using the given information, we can form a right triangle with the tower, the guy-wire, and the horizontal distance between the anchor point and the base of the tower.

The vertical leg of the triangle represents the height of the tower, which is 127 feet.

The hypotenuse of the triangle represents the length of the guy-wire, which is 175 feet.

The horizontal leg of the triangle represents the distance from the anchor point to the base of the tower, which is 64 feet.

We can use the sine function to find the angle θ:

sin(θ) = opposite/hypotenuse

sin(θ) = 127/175

To find θ, we can take the inverse sine (sin^(-1)) of both sides:

\(θ = sin^(-1)(127/175)\)

Using a calculator, we find that θ is approximately 44.77 degrees

Therefore, the angle the tower makes with the hill is approximately 44.77 degrees.

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If the median of a normal distribution is known, it can be said that the mean of the distribution is also equal to the median. This is because the normal distribution is symmetric, with the median and mean at the center of the curve.

For a normal distribution, the mean and median are equal, so if the median is known, then the mean is also known. In a normal distribution, the median represents the point where exactly half of the data falls below and half falls above that point. Since the mean is also the point where the data balances out, meaning the sum of the values above the mean is equal to the sum of the values below the mean, it is also equal to the median. Therefore, if the median of a normal distribution curve is known, we can conclude that the mean is also equal to that value.

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There are the number of pods of peas are  = 38

A number is split in the straightforward action of division. It's simpler to visualize it as a set of items being distributed to a certain group of individuals, as in the scenario given above. Naturally, in the interest of fairness, you should always offer each person the same amount.

One of the four fundamental operations of arithmetic, or how to mix numbers to create new ones, is division. Addition, subtraction, and multiplication are the other operations.

total number of peas = 288

peas have per pod  = 6

total number of pods required  = 288/6

                                                    = 38

there are the number of pods of peas are  = 38

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I understand that the question you are looking for is:

George Mendel is examining peas to try to understand how traits are passed from parents to offspring. Today Gregor has 228 peas to examine . The pods have 6 peas per pod. How many pods of peas are there?

It will take them 3 days to paint the building if they work together on it except for 1 day when the painter is ill and the apprentice works alone is the answer.

Given that a painter can paint a building in 4 days and his apprentice can do it in 6 days, the following steps can be taken to find out the time taken to paint the building when they work together on it except for 1 day when the painter is ill and the apprentice works alone.

Step 1: Let's find the painter's work efficiency.

The painter can paint a building in 4 days. It means, in 1 day, the painter can complete 1/4 of the work.(1/4) × (4 days) = 1 work done

Therefore, the painter can complete 1 work in 1 day.

Step 2: Let's find the apprentice's work efficiency.

The apprentice can paint a building in 6 days. It means, in 1 day, the apprentice can complete 1/6 of the work. (1/6) × (6 days) = 1 work done

Therefore, the apprentice can complete 1 work in 1 day.

Step 3: Let's find out their combined work efficiency.

In 1 day, the painter can complete 1 work and the apprentice can complete 1 work.

So, in 1 day, their combined work efficiency = 1 + 1 = 2 works done.

Step 4: Let's find out the time taken to complete the work if they work together on it except for 1 day when the painter is ill and the apprentice works alone. If they work together for x days (except for 1 day when the painter is ill and the apprentice works alone), then, the following equation can be formed: Painter's work done in x days + Apprentice's work done in x days = Total work to be done.

Painter's work done in x days = (1/4) × (x - 1) = (x - 1)/4.

Apprentice's work done in x days = (1/6) × x = x/6.

Total work to be done = 1.

So, the equation becomes:(x - 1)/4 + x/6 = 1.

⇒ 3(x - 1)/12 + 2x/12 = 1.

⇒ (3x - 3 + 2x)/12 = 1.

⇒ 5x - 3 = 12.

⇒ 5x = 15.

⇒ x = 3.

Therefore, it will take them 3 days to paint the building if they work together on it except for 1 day when the painter is ill and the apprentice works alone.

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There were 1542 yes votes

Parameters:

Total votes = 2570

Ratio of yes votes to no votes = 3:2

Sum of ratios = 3 + 2 = 5

The given statement means if 2570 was divided into 5, yes votes take 3 part of the votes, and no votes take the remaining 2.

So

Yes Votes = (3/5)*2570

= 1542

No Votes = (2/5)*2570

= 1028

Answer:

a) \(p \geq 60\,ft^{2}\), b) \(w \geq 36\,ft\), c) \(1\,qt \leq q \leq 2\,qt\), d) \(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\)

Step-by-step explanation:

In this question we proceed to translate each sentence into mathematical language and, more specifically, inequations:

a) At least 60 square feet of plywood for the surface

Let \(p\) the surface area of plywood, measured in square feet, and the inequation is:

\(p \geq 60\,ft^{2}\) (Eq. 1)

b) At least 36 feet of wood planks for the frame of the dog house

Let \(w\) the total length of wood planks, measured in feet, and the inequation is:

\(w \geq 36\,ft\) (Eq. 2)

c) Between 1 and 2 quarts of paint

Let \(q\) the total capacity of paint, measured in quarts, and the inequation is:

\(1\,qt \leq q \leq 2\,qt\) (Eq. 3)

d) Han's budget is $ 65. Plywood costs $ 0.70 per square foot, planks of wood cost $ 0.10 per foot and paint costs $ 8 per quart.

Dimensionally speaking, we understand that cost equals unit cost multiplied by physical variable (i.e. Area, length or capacity). Let \(p\), \(w\) and \(q\) the surface area of plywood, the total length of wood planks and the total capacity of paint, respectively. The sentence is represented by the following inequation:

\(0.70\cdot p + 0.10\cdot w + 8\cdot q \leq 65\) (Eq. 4)

Write an inequality to represent each constraint(material and cost)

Plywood:

plywood ≥ 60 square feet

Planks:

planks ≥ 36 feet

Paints

1 quarts ≤ paints ≤ 2 quarts

Inequality to represent cost constraint

Plywood = $0.70

planks of wood = $0.10

paint costs $8

Total cost = $65

0.70 × p + 0.10 × pw + 8 × Pa ≤ 65

0.70p + 0.10pw + 8pa ≤ 65

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Answer: no it ain't

Step-by-step explanation:

let's substitute

-1-3 = -4

1+3 = 4

so like yea

the distance between x = 1 and y = √2 is √3.

To find the distance between two points (x1, y1) and (x2, y2) in a two-dimensional coordinate system, we can use the distance formula:

Distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)

In this case, we want to find the distance between x = 1 and y = √2.

Let's consider the points (1, 0) and (0, √2) as the coordinates (x1, y1) and (x2, y2), respectively.

Using the distance formula:

Distance = sqrt((0 - 1)^2 + (√2 - 0)^2)

= sqrt((-1)^2 + (√2)^2)

= sqrt(1 + 2)

= sqrt(3)

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Answer:

It should be 60 degrees

Step-by-step explanation:

Answer: x = -2

Step-by-step explanation:

3x+5 -13x =25     combine like terms on the left side

-10x + 5 = 25        Subtract 5 from both sides

        -5      -5

-10x = 20     Divide both sides -10

x = -2

Answer:

\(x = -2\)

Step-by-step explanation:

If we have the equation \(3x+5-13x=25\), we can isolate x on one side and find it's value.

Let's combine like terms.

\(-10x + 5 = 25\)

Subtract 5 from both sides:

\(-10x + 5 - 5 = 25 - 5\\\\-10x = 20\)

Divide both sides by -10:

\(-10x\div-10 = 20\div-10\\\\x = -2\)

So \(x = -2\).

Hope this helped!

Answer:

Distance = \(\sqrt{(1-5)^{2} + (5-2)^{2} }\) units

               = \(\sqrt{(-4)^{2} + (3)^{2} }\) units

               =\(\sqrt{25}\) units

               = 5 units

Based on an 80% learning curve and the given information that the second plane took 20,000 hours to produce, the time required for the fourth unit is approximately 10,714 hours.

The learning curve concept suggests that as cumulative production doubles, the time required to produce each unit decreases by a certain percentage. In this case, the learning curve is 80%, meaning that the time required to produce each subsequent unit decreases by 20%.
To determine the time required for the fourth unit, we can use the learning curve formula:
Time for nth unit = Time for the first unit * (n^log(learning curve))
Given that the second plane took 20,000 hours to produce, we can use this information to calculate the time for the fourth unit:
Time for fourth unit = 20,000 * (4^log(0.8))
Evaluating the expression, we find that the time required for the fourth unit is approximately 10,714 hours.
Therefore, according to the 80% learning curve, the fourth unit would require approximately 10,714 hours to produce.

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The interval of convergence for the given power series is (2, 8).

To find the interval of convergence for the given power series. We have the power series:

∑(n=2 to ∞) ((x-5)ⁿ)/(3ⁿ)

To find the interval of convergence, we'll use the Ratio Test. For the Ratio Test, we need to compute the limit:

L = lim (n → ∞) |(a_(n+1)/a_n)|

For our series, a_n = ((x-5)ⁿ)/(3ⁿ). Therefore, a_(n+1) = ((x-5)(n+1))/(3(n+1)). Now, let's compute the ratio:

|(a_(n+1)/a_n)| = |(((x-5)(n+1))/(3(n+1))) / (((x-5)ⁿ)/(3ⁿ))|

Simplify the expression:

|(a_(n+1)/a_n)| = |(x-5)/3|

The series converges if L < 1. So we have:

|(x-5)/3| < 1

Now, we'll solve for x to find the interval of convergence:

-1 < (x-5)/3 < 1

Multiply each term by 3:

-3 < x-5 < 3

Add 5 to each term:

2 < x < 8

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Answer:

\(\boxed{\sf n= \dfrac{2}{5} ,\: n=1}\)

Step-by-step explanation:

\(\rightarrow 5n^2 = 7n -2\)

\(\rightarrow 5n^2 - 7n +2=0\)

\(\rightarrow 5n^2 - 5n -2n+2=0\)

\(\rightarrow 5n(n - 1) -2(n-1)=0\)

\(\rightarrow (5n-2)(n-1)=0\)

\(\rightarrow 5n-2= 0,\: n-1=0\)

\(\rightarrow 5n= 2,\: n=1\)

\(\rightarrow n= \dfrac{2}{5} ,\: n=1\)

Step-by-step explanation:

\(\hookrightarrow\sf{5n^2 = 7n -2}\\\\\hookrightarrow\sf{5n^2 - 7n +2=0}\\\\\hookrightarrow\sf{5n^2 - (5+2)n +2=0}\\\\\hookrightarrow\sf{5n^2 - 5n -2n+2=0}\\\\\hookrightarrow\sf{ 5n(n - 1) -2(n-1)=0}\\\\\hookrightarrow\sf{ (5n-2)(n-1)=0}\\\\\hookrightarrow\sf{ 5n-2= 0\:or~ n-1=0}\\\\\hookrightarrow\sf{ 5n= 2\:or~n=1}\\\\\hookrightarrow\bold{ n= \dfrac{2}{5} \:or~ n=1}\)

If both pairs of opposite sides of a quadrilateral are congruent, then the quadrilateral is a parallelogram

A quadrilateral is a closed shape that has four sides, four vertices, and four angles. It's made by connecting four non-collinear points. The sum of quadrilateral interior angles is always 360 degrees. A quadrilateral is a four-sided polygon with four edges and four corners in geometry.

A parallelogram is formed when both pairs of opposite sides of a quadrilateral are congruent. A parallelogram is formed when one pair of opposite sides of a quadrilateral are parallel and congruent.

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