Which function has zeros at x = −2 and x = 5?

f(x) = x2 + 2x − 10
f(x) = x2 − 2x − 10
f(x) = x2 + 3x − 10
f(x) = x2 − 3x − 10

Answer:

Lin has not proven that the probability is not 1/2 because there are only two possible outcomes when flipping a coin and each side has a 50% chance of facing up. Liz flipping the coin 10 times and not getting equal results for both sides is just a random occurrence and it does not effect the 50% chance.

Answer:the answer is B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given

5x² + 40x - 100

To find the zeros equate to zero, that is

5x² + 40x - 100 = 0 ( divide all terms by 5 )

x² + 8x - 20 = 0

To factor the quadratic

Consider the factors of the constant term (- 20) which sum to give the coefficient of the x- term (+ 8)

The factors are + 10 and - 2, since

10 × - 2 = - 20 and 10 - 2 = + 8, thus

(x + 10)(x - 2) = 0

Equate each factor to zero and solve for x

x + 10 = 0 ⇒ x = - 10

x - 2 = 0 ⇒ x = 2

Zeros are x = - 10 and x = 2 → B

Answer:

[tex]f(x)=3x^3+x^2+3x+1[/tex]

Step-by-step explanation:

If a real number [tex]-\frac{1}{3}[/tex] is a zero of polynomial function, then

[tex]x-\left(-\dfrac{1}{3}\right)=x+\dfrac{1}{3}[/tex]

is the factor of this function.

If a complex number [tex]-i[/tex] is a xero of the polynomial function, then the complex number [tex]i[/tex] is also a zero of this function and

[tex]x-(-i)=x+i\ \text{ and }\ x-i[/tex]

are two factors of this function.

So, the function of least degree is

[tex]f(x)=\left(x+\dfrac{1}{3}\right)(x+i)(x-i)=\left(x+\dfrac{1}{3}\right)(x^2-i^2)=\\ \\ =\left(x+\dfrac{1}{3}\right)(x^2+1)=\dfrac{1}{3}(3x+1)(x^2+1)=\dfrac{1}{3}(3x^3+x^2+3x+1)[/tex]

If the polynomial function must be with integer coefficients, then it has a form

[tex]f(x)=3x^3+x^2+3x+1[/tex]

1062.32. that's how much he will have after 4 years

Colin will have £1,062.32 after 4 years.

Simple interest is the type of interest in which the accumulated interest amount is not taken into consideration while adding the interest.

It is given by:

SI = P*r*T/100

The amount that Colin invests is given as £980.

The rate of interest is given as 2.1%.

The amount is deposited for 4 years.

The total amount in the bank after 4 years can be given by:

Amount = P + P*r*T/100

= P(1 + 2.1*4/100)

= 980(1 + 0.084)

= 980 * 1.084

= £1,062.32

The total amount that Colin would have after 4 years is found. The Amount that Colin would have is equal to £1,062.32.

Therefore, we have found that Colin will have £1,062.32 after 4 years.

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Answer:

-12

Step-by-step explanation:

y = 4x^2 + 8x - 8

Put brackets around the first 2 terms and pull out the common factor

y = (4x^2 + 8x) - 8

y = 4(x^2 + 2x) - 8

Take 1/2 of the linear term (2x) and square it. Put the square inside the brackets.

y = 4(x^2 + 2x + (2/2)^2 ) - 8

y = 4(x^2 + 2x + 1) - 8

You have added 4*1 inside the brackets. You must subtract that amount outside the brackets.

y = 4(x^2 +2x + 1) - 8 - 4

Notice that the trinomial inside the brackets is a perfect square. Combine the terms outside the brackets.

y = 4(x + 1)^2 - 12    

You have completed the square and you are finished.

The vertex is (-1, - 12)

The y value is - 12.

Just to confirm this, I have included the graph.

Answer:

The vertex is the point (3, 6)

Step-by-step explanation:

For a quadratic function [tex]ax ^ 2 + bx + c[/tex] its vertex form is:

[tex]y = a (x-h) ^ 2 + k[/tex]

Where

a is the main coefficient

h is the x coordinate of the vertex

k is the cordage y vertice

Therefore, for a function in this way the vertex will always be the point (h, k)

Notice that for the function

[tex]f (x) = -4 (x-3) ^ 2 + 6\\\\a = -4\\\\h = 3\\\\k = 6[/tex]

Then the vertex is the point (3, 6)

Answer:

(3, 6)

Step-by-step explanation:

Since the question is in y = 1(x-h)^2 +k form and you just put the opposite sign for h making it from 3 to -3.

So far we got x as 3.

and for Y you have k which is 6 so you final answer would be (3,6)

Brainiest would be appreciated.

Answer:

[tex]\large\boxed{\text{Factored Form:}\ f(x)+-(x-1)(x-5)}\\\boxed{\text{Vertex Form:}\ f(x)=-(x-3)^2+4}\\\boxed{\text{Standard Form:}\ f(x)=-x^2+6x-5}[/tex]

Step-by-step explanation:

(look at the picture)

Factored form:

[tex]f(x)=a(x-x_1)(x-x_2)[/tex]

x₁, x₂ - zeros

Vertex form:

[tex]f(x)=a(x-h)^2+k[/tex]

(h, k) - vertex

Standard form:

[tex]f(x)=ax^2+bx+c[/tex]

If from the vertex we go 1 unit down (up) and 1 unit left (right) and we get the point on the parabola, then a = 1.

The parabola is open down, therefore a < 0 → a = -1.

The zeros are [tex]x_1=1[/tex] and [tex]x_2=5[/tex]. Therefore the Factored Form is:

[tex]f(x)=-(x-1)(x-5)[/tex]

The vertex is V(3, 4). Therefore the vertex form is:

[tex]f(x)=-(x-3)^2+4[/tex]

Convert it to a standard form using (a - b)² = a² - 2ab + b²

[tex]f(x)=-(x^2-2(x)(3)+3^2)+4=-x^2+6x-9+4=-x^2+6x-5[/tex]

Answer:

x = 4, y = 1

Step-by-step explanation:

Given the 2 equations

4x + y = 17 → (1)

2x + y = 9 → (2)

Subtract (1) from (2) term by term

(4x - 2x) + (y - y) = (17 - 9)

2x = 8 ( divide both sides by 2 )

x = 4

Substitute x = 4 into (1) and solve for y

4(4) + y = 17

16 + y = 17 ( subtract 16 from both sides )

y = 1

Answer:

x < -4 or (-∞,-4)

Step-by-step explanation:

to solve 8x < -32, we treat the inequality symbol as an = sign and solve it like we would any other equation: get x alone

8x < -32 < divide both sides by 8 to isolate x

8x/8 = x

-32/8 = -4

x < -4 is our solution

in interval notation this can be written as (-∞, -4)

Answer:

Step-by-step explanation:

first look at all the equation and solve them. When you get the all of there answer then divide the answers by the sides. And then you will find your answer!

Answer:

46

Step-by-step explanation:

I went to google.

Search up 20% of 230,

got 46 lol

If there is an aquarium containing 230 fish, 20% are angelfish, then there are 46 angelfish in the aquarium.

To find the number of angelfish in the aquarium, we first need to calculate 20% of 230, as the given percentage represents the proportion of angelfish in the total fish population.

Calculate 20% of 230

To find 20% of a number, we multiply the number by 0.20 (which is the decimal equivalent of 20%).

20% of 230 = 0.20 * 230

= 46

Determine the number of angelfish

Now that we know that there are 46 angelfish in the aquarium, we have successfully answered the question.

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Answer:

c. the zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

The given function is

[tex]g(x)=x^2-576[/tex]

When we equate the function to zero, we obtai;

[tex]x^2-576=0[/tex]

Use difference of two squares:

[tex]x^2-24^2=0[/tex]

[tex](x-24)(x+24)=0[/tex]

Use the zero product property to obtain;

[tex]x-24=0,\:and\:x+24=0[/tex]

This implies that;

[tex]x=24,\:and\:x=-24[/tex]

The correct choice is C

Answer:

The zeros, -24 and 24, can be found when 0= (x+24)(x-24).

Step-by-step explanation:

Answer:

slope = 1

Step-by-step explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (2, 5) and (x₂, y₂ ) = (- 5, - 2)

m = [tex]\frac{-2-5}{-5-2}[/tex] = [tex]\frac{-7}{-7}[/tex] = 1

-Hello There-

If We Subtracted 5/8 From 3/4 We Would Have A Difference Of 1/8

Have A Great Day!

Answer:

The difference between 3/4 and 5/8 is 1/8

Answer:

Step-by-step explanation:

4.6 pounds of pecans     1 pound of pecans

_________________ = ______________

50. 89 dollars                   x dollars

Set up an equation like this.

Cross multiply

4.6(x)=50.89(1)

divide both sides by 4.6

x=11.06 (about)

So I pound of pecans costs about 11.06 dollars

Answer:

11.06 is the one correct :)

]

Answer:

Center (-13,11) , radius 3

Step-by-step explanation:

The given circle has equation

[tex]x^2+y^2+26x-22y+281=0[/tex]

We compare this to the general equation.

[tex]x^2+y^2+2ax+2by+c=0[/tex]

where (-a,-b) is the center.

This implies that;

2a=26

[tex]\Rightarrow a=13[/tex]

2b=-22

b=-11

The center is therefore (-13,11)

The radius is given by

[tex]r=\sqrt{a^2+b^2-c}[/tex]

[tex]r=\sqrt{13^2+(-11)^2-281}[/tex]

[tex]r=\sqrt{9}[/tex]

The radius is 3

Answer:

A normal distribution

Answer:

Step-by-step explanation:

Be sure to insert π where appropriate!

If the diameter of the yo-yo is 4 in, then the radius is 2 in.

The area comes from A = πr² and the circumference from C = πd.

In this case the area is A = π(2 in)² = 4π in² or 12.57 in².

The circumference is C = 4π in or 12.57 in.

[tex]\bf \cfrac{1}{3}~~,~~\stackrel{\frac{1}{3}(3)}{1}~~,~~\stackrel{1(3)}{3}~~,~~\stackrel{3(3)}{9}~~...\qquad \qquad \impliedby \textit{3 is the common ratio} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\bf n^{th}\textit{ term of a geometric sequence} \\\\ a_n=a_1\cdot r^{n-1}\qquad \begin{cases} n=n^{th}\ term\\ a_1=\textit{first term's value}\\ r=\textit{common ratio}\\[-0.5em] \hrulefill\\ r=3\\ a_1=\frac{1}{3}\\ n=10 \end{cases}\implies a_{10}=\cfrac{1}{3}\left(3^{10-9} \right) \\\\\\ a_{10}=\cfrac{1}{3}\cdot 3^9\implies a_{10}=\cfrac{1}{3}\cdot 19683\implies a_{10}=6561[/tex]

Answer:

19683

Step-by-step explanation:

Hello there! The correct answer is C. The electric car is not moving at 0 seconds and 12 seconds.

In the question description it says that y represents the car's speed in miles. Now looking back at the chart, wherever the x values are at when y = 0, the car isn't moving at this time, because if the car is going at 0 miles per hour, it is not moving. Looking at the chart, you can see the car is going 0 miles per hour when x = 0 and x = 12. This means that C is your answer.

I hope this helps and have a great day!

A statement that is true about this situation include the following: C. The electric car is not moving at 0 seconds and 12 seconds.

In Mathematics and Geometry, speed is the distance covered by a physical object per unit of time. This ultimately implies that, the speed of any a physical object can be calculated by using this formula;

Speed = distance/time

Generally speaking, a physical object is considered as being static (not moving or in motion) when its speed is equal to zero (0).

In this context, we can reasonably infer and logically deduce that this new electric car is not moving at 0 seconds and 12 seconds because the speeds (y-avlues) at this time interval are equal to zero (0).

Complete Question;

Marcel is performing the first test on his company's new electric car During the test, the electric car reaches a maximum speed of 81 mph.

The performance test results of the electric car can be modeled by the following table, where x represents time, in seconds at the start of the test, and y represents the speed, in miles per hour.

Which of the following statements is true about this situation?

A. The electric car is not moving at 6 seconds and 12 seconds.

B. The electric car is not moving at 4 seconds and 8 seconds.

C. The electric car is not moving at 0 seconds and 12 seconds

D. The electric car is not moving at 0 seconds and 6 seconds

Answer:

Step-by-step explanation:

2 I think?

40% of girls liked winter.

A two-way relative frequency table was then constructed, turning the frequencies into fractions and subsequent decimals. Lastly, it was determined that 40% of girls liked winter.

To create a two-way table from the given data, we can categorize the students by gender and preferred season. Here’s how the table would look based on the information provided:

 
   Summer
   Winter  
   Boys
   4
   4
   Girls
   3
   2

From this table, we can see that there are 5 girls and 4 boys who liked summer. To create a two-way relative frequency table, divide each entry by the total number of students, which is 12:

   Summer
   Winter

   Boys
   4/12 (0.33)
   4/12 (0.33)
 
 
   Girls
   3/12 (0.25)
   2/12 (0.17)

To find the percentage of girls who liked winter, we divide the number of girls who liked winter by the total number of girls and multiply by 100:

[tex](\frac{2}{5}) \times 100 = 40\%[/tex]

Answer:

Amplitude =1

Step-by-step explanation:

Given function is [tex]y=1\cdot\sin\left(2x\right)[/tex].

Now we need to find about what is the amplitude of the given function [tex]y=1\cdot\sin\left(2x\right)[/tex].

To find that let's compare given equation [tex]y=1\cdot\sin\left(2x\right)[/tex] with standard equation [tex]y=a\cdot\sin\left(bx-c\right)+d[/tex]. We get:

a=1

We know that amplitude of the function [tex]y=a\cdot\sin\left(bx-c\right)+d[/tex] is given by the value of |a|.

Hence amplitude of the given function = |a|= |1|=1

the answer would be 0.08333… or 1/12

(from my own work it would be ,I'm not saying its right or wrong though)

The probability that Terry randomly chooses an outfit with black pants and a yellow shirt is 1 out of 12, calculated by dividing the number of favorable outcomes (1) by the total possible outcomes (12).

The question revolves around basic probability. Terry has three pairs of pants and four shirts, meaning there are a total of 3 x 4 = 12 possible outfits. Since only one outfit consists of black pants and a yellow shirt, the probability of selecting this combination is therefore 1 out of 12.

The formula used to calculate this probability is the number of favorable outcomes divided by the total number of possible outcomes. In this case, the favorable outcome (black pants with a yellow shirt) is just one, and the total number of possible outfits is twelve.

Answer:

are u a girl

Step-by-step explanation:

Answer:

-5(-2x2)-3(-2)=26

I think the answer is 52.5.

Answer:-2

Step-by-step explanation:

The sum of temperatures over five days in St. Paul, Minnesota would be calculated by adding the individual temperatures of each day together. If any temperatures are negative, it would decrease the total sum.

To find the sum of the various temperatures over the five days in St. Paul, Minnesota, you need to know the specific temperatures for each day. Assuming we have those temperatures, let's say they are 20°C, 22°C, 19°C, 21°C, and 23°C. You simply add these temperatures together: 20 + 22 + 19 + 21 + 23. The total would be 105°C for the five days. This is a basic mathematical operation, summarizing data by adding them together. Note: If any of the temperatures were negative (like -5°C), this would decrease the sum because you would be essentially subtracting that value.

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Sum of 8 and 12 = 8+12=20

20/4 = 5

boom, 5 is the answer

M has one line of symmetry!

Hope it helped!

Answer:

2.5 mins per page

Step-by-step explanation:

2.5 x [page's Read] = Awnser

The total time William needs to read his novel is calculated by multiplying the number of pages by 2.5 minutes per page. This method allows efficient time management and scheduling for reading. By dividing the total pages by available days, one can manage the reading workload more effectively.

The total time William takes to read his novel is directly proportional to the number of pages he reads. This means that if William allots 2.5 minutes to read each page of his novel, then for every page he reads, he will spend 2.5 minutes. To find the total time spent reading, you simply multiply the number of pages by 2.5 minutes.

For example, if William wants to read 40 pages, he would calculate his total reading time as 40 pages × 2.5 minutes per page = 100 minutes. This approach allows William to plan how much time he needs to set aside for reading based on the number of pages.

Additionally, dividing the total page count by the number of available days can help in managing the reading workload efficiently. By knowing how long it takes to read a set number of pages, William can also estimate the time required for larger sections and manage his schedule accordingly.

Answer:

Step-by-step explanation:

First operation:

multiplication and division

Second operation:

addition

80 divided by 70 → 80 : 70 = 8/7

90 x 200 = 18000

90 x 200 divided by 5 → 18000 : 5 = 3600

80 divided by 70 plus 90 x 200 divided by 5 → 8/7 + 3600

1 1/7 + 3600 = 3601 1/7