The degree of the product is the ____ of the degrees of the factors

Answer:

A

Step-by-step explanation:

Given the zeros are x = - 1 and x = 3 then the factors are

(x + 1) and (x - 3) and the parabola is the product of the factors, that is

y = a(x + 1)(x - 3) ← where a is a multiplier

To find a substitute (0, - 9) into the equation

- 9 = a(0 + 1)(0 - 3) = a(1)(- 3) = - 3a ( divide both sides by - 3 )

3 = a, thus

y = 3(x + 1)(x - 3) ← expand the factors using FOIL

  = 3(x² - 2x - 3) ← distribute by 3

  = 3x² - 6x - 9 → A

The equation of the parabola has zeros of x = –1 and x = 3 and a y-intercept of (0,–9) is y = 3x² - 6x - 9 . The correct option is A.

An equation of a curve that has a point on it that is equally spaced from a fixed point and a fixed line is referred to as a parabola. The parabola's fixed line and fixed point are together referred to as the directrix and focus, respectively.

Given the zeros are x = - 1 and x = 3 then the factors are (x + 1) and (x - 3) and the parabola is the product of the factors, that is

y = a(x + 1)(x - 3) ← where a is a multiplier

To find a substitute (0, - 9) into the equation.

- 9 = a(0 + 1)(0 - 3)

a(1)(- 3) = - 3a ( divide both sides by - 3 )

3 = a,

y = 3(x + 1)(x - 3)

Expand the factors and calculate.

y = 3(x² - 2x - 3)

y = 3x² - 6x - 9

Therefore, the equation of the parabola has zeros of x = –1 and x = 3 and a y-intercept of (0,–9) is y = 3x² - 6x - 9 . The correct option is A.

To know more about parabola follow

https://brainly.com/question/1538225

#SPJ5

Answer:

34

Step-by-step explanation:

4x+3x-8=90

so lets start by solving this

Let's solve your equation step-by-step.

4x+3x−8=90

Step 1: Simplify both sides of the equation.

4x+3x−8=90

4x+3x+−8=90

(4x+3x)+(−8)=90(Combine Like Terms)

7x+−8=90

7x−8=90

Step 2: Add 8 to both sides.

7x−8+8=90+8

7x=98

Step 3: Divide both sides by 7.

7x

7

=

98

7

x=14

Answer:

x=14

so plug this in and you get 3*14 -8

this equals 34

brainliest?

Answer:

It is 34 degrees

Step-by-step explanation:

Step 1:  Make an equation

[tex]4x + 3x - 8 = 90[/tex]

Step 2:  Combine like terms

[tex](4x + 3x) - 8 = 90[/tex]

[tex]7x - 8 = 90[/tex]

Step 3:  Add 8 to both sides

[tex]7x - 8 + 8 = 90 + 8[/tex]

[tex]7x = 98[/tex]

Step 4:  Divide both sides by 7

[tex]7x / 7 = 98 / 7[/tex]

[tex]x = 14[/tex]

Step 5:  Find the measure

[tex]3x - 8[/tex]

[tex]3(14) - 8[/tex]

[tex]42 - 8[/tex]

[tex]34^o[/tex]

Answer: It is 34 degrees

Answer:

Step-by-step explanation:

25 is equivalent to 820 because 2 x 20 = 5 x 8 = 40. 410 is equivalent to 820because 4 x 20 = 10 x 8 = 80. 615 isequivalent to 820 because 6 x 20 = 15 x 8 = 120.

Answer:

4:10 = 8:20( when multiplied by 2)

24:60 divide by 3 we get 8:20

2:5 multiply by 4 we get 8:20

Answer:

30 percent of 150 is 20%

Answer:

$30 of $150 is 20%

brainliest??

Step-by-step explanation:

150/30 = 5

100% / 5 is 20%

=20%

Answer:

6:14

Step-by-step explanation:

Answer:

a) C≈25.13

(ALSO, for "b" do you have a picture for it?)

Step-by-step explanation:

a) C=2πr

C=2π(4)

Answer:

Picture for b

Step-by-step explanation:

that is the solution to the simultaneous equation

Answer:

(1, - 4 )

Step-by-step explanation:

Given the 2 equations

2x - y = 6 → (1)

x + y = - 3 → (2)

Adding the equations term by term will eliminate the term in y, that is

3x = 3 ( divide both sides by 3 )

x = 1

Substitute x = 1 into either of the 2 equations and solve for y

Substituting in (2) gives

1 + y = - 3 ( subtract 1 from both sides )

y = - 4

Solution is (1, - 4 )

Answer:

C. A box plot is best for displaying the spread of data above and below the​ median, so Yuki should use a box plot.

Step-by-step explanation:

Neither dot plot nor histogram shows the median of data, but box plot it does. Also, box plots show the how spread data is from minimum value to first quartile, from first quartile to median, from median to third quartile and from third quartile to maximum value.

Answer:

Where are the equations

Step-by-step explanation:

Answer: -6

Step-by-step explanation:

Answer:

Approximately 2.5%

Step-by-step explanation:

Note that if the mean is 64 oz, then one standard deviation below that would be 61 oz., and two standard deviations beow 64 oz would be 58 oz.

So our task boils down to finding the area under a standard normal curve to the left of 58 oz.  

We can do this in two ways.

One is to apply the Empirical Rule, which states that 95% of data lies within 2 standard deviations of the mean, on both sides of the mean.  Thus, 5% lies outside the lines representing 2 standard deviations on both sides; half of that (representing the area under the curve to the left of 58) is 2.5%, which is the answer to this question.

The other way is to use a calculator with probability distribution functions built in:

normcdf(-1000, 58, 64, 3) = 0.0228, or approximately 2.28%.  Here "-1000,58" represents the area under the curve to the left of 58, 64 represents the mean, and 3 represents the standard deviation.

Answer:

1: do half then 12 more

2: 6/8 or 3/4

3: 8 or 8/100

4: 6.45,6.76

5: 1(83/100)

6:75/100

7:???

8:????

Step-by-step explanation:

hope this helped

The smallest approximate sample size required for Victoria to estimate the mean weight of apples with a 95% confidence level and a margin of error of no more than 5 grams is 35 apples.

Victoria wants to estimate the mean weight of apples in her orchard with a 95% confidence interval and a margin of error of no more than 5 grams, using an estimated standard deviation of 15 grams. To determine the smallest sample size (n) required, the following formula which incorporates the z-score for the desired confidence level, the standard deviation, and the desired margin of error can be used:

n = (z * σ / E)^2,

where z is the z-score corresponding to a 95% confidence level (which is 1.96), σ (sigma) is the estimated standard deviation (15 grams), and E is the desired margin of error (5 grams).

Plugging the values in gives us: n = (1.96 * 15 / 5)^2 = (1.96 * 3)^2
= 5.88^2 = 34.5744.

Since we cannot have a fraction of an apple, we round up to the nearest whole number. Therefore, the smallest approximate sample size required is 35 apples.

Victoria needs a sample size of at least 35 apples.

Victoria wants to estimate the mean weight of apples in her orchard with a 95% confidence interval and a margin of error no more than 5 grams. We are given the standard deviation of 15 grams.

To find the smallest approximate sample size n, we can use the formula for margin of error (E) in a confidence interval:

E = Z * (σ/√n)

Here, Z is the Z-score for a 95% confidence level, which is 1.96, σ (sigma) is the population standard deviation (15 grams), and n is the sample size.

Rearrange the formula to solve for n:

n = (Z * σ / E)²

Substitute the given values:

Calculate:

n = (1.96 * 15 / 5)²

n = (1.96 * 3)²

n = (5.88)²

n ≈ 34.57

Since the sample size must be a whole number, we round up to the nearest whole number, which is 35. Therefore, Victoria needs a sample size of at least 35 apples to achieve her desired margin of error.

Answer:

5x^2-7x+15

Step-by-step explanation:

(6x^2 - 4x + 11) + ( 4 - x^2 – 3x)

Combine like terms

6x^2 - x^2   -4x -3x   +11+4

5x^2     -7x        +15

Answer:

82.5

Step-by-step explanation:

The formula for the area of triangle is 1/2 B * H

1/2 of the base is 7.5

multiply that by 11

and you get

82.5

Answer: a=b , greater than

Step-by-step explanation:

Answer:

B and C

Step-by-step explanation:

Well im quessing the question is how much did someone pay so im gonna tell you john paid 4 dollars because 1/5 of ten is 2 so 2/5 is ten meaning the extra friend payed $3

[tex]\text{Solve for x:}\\\\\frac{1}{2}(10x-2) +3x = 25\\\\\text{Distribute the 1/2 to the numbers inside the parenthesis}\\\\5x-1+3x=25\\\\\text{Combine like terms:}\\\\8x-1=25\\\\\text{Add 1 to both sides}\\\\8x=26\\\\\text{Divide both sides by 8}\\\\x=\frac{26}{8}\\\\\text{Simplify the fraction by dividing by 2}\\\\\boxed{x=\frac{13}{4}}[/tex]

The solution to the problem 1/2 (10x-2) +3x = 25 is x = 3.25 which is obtained by expanding the equation, combining like terms, isolating the variable, and then solving for the variable.

Let's solve the equation 1/2 (10x-2) +3x = 25 step by step to find the solution to this problem.

Firstly, expand the equation: 1/2 * 10x is 5x, and 1/2 * -2 is -1. Therefore, the equation becomes 5x - 1 + 3x = 25.

Next, combine like terms on the left side of the equation. 5x + 3x is 8x, so you have 8x - 1 = 25.

Then, add 1 on both sides to isolate 8x on the left side. The equation becomes 8x = 26.

Finally, divide both sides by 8 to solve for x. Therefore, x = 26 / 8 = 3.25.

https://brainly.com/question/32436021

#SPJ2

Answer:

the answer is number three

Step-by-step explanation:

Answer:

New altitude = 5.5 miles

Step-by-step explanation:

We are given;

Velocity = 400 m/h

Angle of descent = 1°

Altitude = 7.2 miles

Time = 15 minutes = 15/60 hours = 0.25 hours

Now, the downward component of its speed is;

Vy = (400)sin(1°)

Vy = 6.98 mph

After a time t, its height will be;

h(t) = (7.2 - 6.98t) miles, for t = hours

We are given;t = 0.25 hrs

Thus;

h(0.25) = 7.2 - (6.98*0.25) miles

h(0.25) = 5.46 miles

h(0.25) ≈ 5.5 miles to the nearest tenth

The new altitude after 15 minutes of descent is approximately 5.5 miles.

Calculating the New Altitude of a Descending Airplane

To determine the new altitude of the airplane after 15 minutes of descending at an angle of descent of 1 degree from the horizontal, follow these steps:

Hence, after 15 minutes, the airplane's new altitude is approximately 5.5 miles.

Answer:

Step-by-step explanation:

B

Answer:

d

Step-by-step explanation:

3 times (x) is 3x

3 times (2y) is 6y

and 3 times (5) is 15 and the end result would be 3x+6y+15

Answer:

Option 3

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.

Step-by-step explanation:

y = -4x - 19 y = 2x − 1

-4x - 19 = 2x - 1

6x = -18

x = -3

y = 2(-3) - 1 = -7

A coordinate grid is shown from negative 10 to positive 10 on the x axis and also on the y axis. Two lines are shown intersecting on ordered pair negative 3, negative 7.

In mathematics, a set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought

Given

y = -4x - 19 y = 2x − 1

-4x - 19 = 2x - 1

6x = -18

x = -3

y = 2(-3) - 1 = -7

To know more about system of equations refer to :

https://brainly.com/question/12526075

#SPJ2

Answer:

Benito

Step-by-step explanation:

https://brainly.com/question/15495979

Benito drew a line with a slope of 3. This is determined by using the slope formula and identifying the rate of change in the y coordinates with respect to the x coordinates for each line drawn by the different students.

To find the slope of a line on a coordinate plane, we can use the slope formula: slope = (y2 - y1) / (x2 - x1), where (x1, y1) and (x2, y2) are points on the line.

Therefore, the student who drew a line with a slope of 3 is Benito.

https://brainly.com/question/34849567

#SPJ2

Answer:

540

Step-by-step explanation:

Final answer:

By substituting the given values f = 3, g = 2, and h = 7 into the expression f3 + 11g - 4h, and performing the operations as directed, we find that the value of the expression is 3.

Explanation:

To evaluate the expression f3 + 11g - 4h when f = 3, g = 2, and h = 7, we substitute these values into the expression.

Therefore, the value of the expression f3 + 11g - 4h is 3.

Answer: they are parallel to each other plus they're both obtuse triangles

Answer:

353

Step-by-step explanation:

250+298+346+369+422+433=2,118

2,118/6=353

Step-by-step explanation:

[tex]a) \: 1\% \: of \: 400 = \frac{1}{100} \times 400 = 4 \\ \\ b) \: 1\% \: of \: 2500 = \frac{1}{100} \times 2500 = 25 \\ \\ c) \: 1\% \: of \: 657= \frac{1}{100} \times 657 = 6.57 \\ \\ d) \: 1\% \: of \: 12= \frac{1}{100} \times 12 = 0.12 \\ [/tex]