Differentiate the function:
y=x^3+2x-1

Answer:

  f(x) = x^2 -12x +20

Step-by-step explanation:

There are an infinite number of functions with zeros at those values of x. One simple polynomial function with those zeros is ...

  f(x) = (x -10)(x -2) . . . . . each zero contributes a factor

  f(x) = x^2 -12x +20

Answer:

a market's condition

Step-by-step explanation:

edge 2021

Market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.

It is the cost of borrowing money.

Interest rate levels depend on the supply and demand of the money.

Supply and demand are a part of market conditions.

We see that,

An increase in demand for money will increase the interest rate.

A decrease in demand for money will decrease the interest rate.

Conversely,

An increase in the supply of money will decrease the interest rate.

A decrease in the supply of money will increase the interest rate.

Demand and supply are market conditions

Thus market conditions best determine whether a borrower’s interest rate on an adjustable rate loan goes up or down.

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Answer:

108

Step-by-step explanation:

Answer:

3/4 cm

Step-by-step explanation:

Answer:

23

Step-by-step explanation:

55 = 23 + 32

14 and 41 came into my d, but 1 and 4 are 3 apart from each other

(would really appreciate the brainliest)

Answer:

[tex]\widehat{GF}=49[/tex] degrees

Step-by-step explanation:

In the figure attached, EG is the diameter of the circle and a point F is located on the circle.

Measure of [tex]\widehat{GF}[/tex] = 8.5 inches

Radius HF = 10 inches

Formula to get the length of arc = [tex]\frac{\theta}{360}\times (2\pi r)[/tex]

8.5 = [tex]\frac{\theta}{360}(2\pi)(10)[/tex]

θ = [tex]\frac{360\times 8.5}{20\pi }[/tex]

  = 48.7°

  ≈ 49°

Since central angle = measure of the intercepted arc

Therefore, [tex]\widehat{GF}=49[/tex] degrees will be the measure of the given arc GF.                                  

Answer:

18

Step-by-step explanation:

12 x 3 = 36

36 / 2 = 18

18 x 2 = 36

The answer is 18

Answer: x > 3

Step-by-step explanation: Just like any of your two-step equations, in this inequality, start by isolating the x term which in this case is -5x by subtracting 20 from both sides. That leaves you with -5x < -15.

To get x by itself, divide both sides by -5, but watch out.

If you divide both sides of an inequality by a negative number, you must switch the direction of the inequality sign.

So we have x > 3.

I have also graphed the inequality for you below.

Start with an open dot at 3. The reason for that is because x > 3 but x is not equal to 3 so we use an open dot.

Now, draw an arrow to the right to

represent all numbers greater than 3.

Answer:

  see the attachments

Step-by-step explanation:

An inequality without the "or equal to" case is graphed with an open circle at its boundary point. If the "or equal to" case is included, then the dot at the boundary is filled in (a solid dot). The number line is shaded to the left or right of the boundary point, depending on whether the set being graphed includes values less than or greater than the boundary value. Usually, a line extending indefinitely will have an arrow on its end. (Not here, because the program used doesn't easily support drawing arrows.)

__

a. The boundary point at x=7.75 has an open circle, and the shading of the number line extends indefinitely to the right from there.

__

b. The boundary point at x=2.5 is a solid dot, and the shading extends indefinitely to the left.

Answer:

[tex]z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007[/tex]  

Now we can find the p value with the alternative hypothesis and using this probability:

[tex]p_v =P(z<-1.007)=0.157[/tex]  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47

Step-by-step explanation:

Information given

n=631 represent the random sample selected

X=284 represent the people who said that they thought unemployment would increase

[tex]\hat p=\frac{284}{631}=0.45[/tex] estimated proportion of people who said that they thought unemployment would increase

[tex]p_o=0.47[/tex] is the value that we want to test

[tex]\alpha=0.05[/tex] represent the significance level

z would represent the statistic

[tex]p_v{/tex} represent the p value

System of hypothesis

We want to verify if the proportion of Australians in November 1997 who believe unemployment would increase is less than the proportion who felt it would increase in July 1997 (0.47), then the system of hypothesis are:  

Null hypothesis:[tex]p\geq 0.47[/tex]  

Alternative hypothesis:[tex]p < 0.47[/tex]  

The statistic would be given by:

[tex]z=\frac{\hat p -p_o}{\sqrt{\frac{p_o (1-p_o)}{n}}}[/tex] (1)  

Replacing the info given we got:

[tex]z=\frac{0.45 -0.47}{\sqrt{\frac{0.47(1-0.47)}{631}}}=-1.007[/tex]  

Now we can find the p value with the alternative hypothesis and using this probability:

[tex]p_v =P(z<-1.007)=0.157[/tex]  

Since the p value is higher than the significance level given of 0.05 we have enough evidence to FAIL to reject the null hypothesis and we can conclude that the true proportion of interest is not significantly lower than 0.47

Answer:

50 pictures.

Step-by-step explanation:

It's lit just 35+15=50 pictures

Answer:50

Step-by-step explanation:

Meg took 35 pictures

Kim took 15 pictures

Total pictures =35+15

Total pictures =50

(x + 8)(x - 6)

to factorise consider the factors of - 48 which sum to + 2

These are + 8 and - 6 thus

x² + 2x - 48 = (x + 8)(x - 6)

Answer:

D) x + 8

Step-by-step explanation:

factor. Find factors of x² & -48, in that, when combined, it will give 2x.

x² + 2x - 48

x             -6

x               8

(x - 6)(x + 8)

Check. Follow FOIL method. Combine the first, outside, Inside, & Last terms:

(x * x) = x²

(x * 8) = 8x

(x * -6) = -6x

(-6 * 8) = -48

x² + 8x - 6x - 48

x² + 2x - 48 (√)

Your answer choices:

(x - 6) & (x + 8)

x + 8 shows up as a choice, so D) x + 8 is your answer.

~

Answer:

DEEZNUUTZZZ

Step-by-step explanation:

Answer:

  see below

Step-by-step explanation:

The graph has two parts. There is one line for x < 2. It has a slope of 1 and a y-intercept of 0.

The line for x > 2 is the horizontal line x=2.

The point at x=2 is not defined by the function you have posted here, so there is a "hole" in the graph at that point.

Answer:

the person above is correct

Step-by-step explanation:

:p

Answer: an option is 2736

and we only have two possible solutions, the other is 6732

Step-by-step explanation:

we want to write a number:

a73b, where a and b are one digit numbers (0 to 9) in such way that the number is divisible by 36.

Now, we know that 36 is multiple of 6, so 6*6 = 36

The multiples of 36 are always even numbers, so we can discard all the odd options for b.

We also can discard the option a = 0, because we want a 4 digit number.

now, let's do it by brute force.

if a = 1, we have:

173b, now you can give b different values (only even values) and see if some of them is divisible by 36. You will find that none is.

if a = 2

273b

when b = 6, we have:

N = 2736, that is divisible by 36 as:

2736/36 = 79, so this is a multiple of 36.

now, you can keep changing the value of a and find all the different possible solutions.

if a = 3,

373b is not divisible by 36 for any value of b

if a = 4

473b  is not divisible by 36 for any value of b

if a = 5

573b  is not divisible by 36 for any value of b

if a= 6

673b  it is divisible by 36 when b = 2.

6732/36 = 187

if a = 7

773b  is not divisible by 36 for any value of b

if a = 8

873b  is not divisible by 36 for any value of b

if a = 9

973b  is not divisible by 36 for any value of b

So we only have two possible solutions

The different solutions this problem have are 2736 and 6732.

This is a part of a number which consists of numerals from 0 to 9.

a73b is the first number where a and b are one digit numbers (0 to 9) which is divisible by 36.

All multiples of 36 are always even numbers, so odd number options for b isn't considered.

If a = 2 when b = 6, we have:  it is divisible by 36 when b = 2.

N = 2736, which is divisible by 36 to give 76 hence it is a multiple of 36.

673b is divisible by 36 when b = 2.

N = 6732 which is divisible by 36 to give 187 hence it is a multiple of 36.

Hence, the two values are  2736 and 6732.

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Answer:

21

Step-by-step explanation:

The number in this riddle is 21.

A number totally divides the provided number without leaving any residual is said to be the factor of that number. A number can have either positive or negative aspects.

For illustration, let's determine the components of 8.

Since 1, 2, 4, and 8 are divisible by 8, we may list them as the positive factors of 8.

The product of two negative integers is a positive number,

hence (-1) (-8) = 8 and (-2) (-4) = 8.

In addition, the number 8 contains negative elements, which may be written as -1, -2, -4, and -8.

Given:

I am a number between 17 and 25.

I am a multiple of 3.

6 is not a factor of mine.

Now, the number between 17 and 25

18, 19, 20, 21, 22, 23, 24

So, the multiple of 3 is 18, 21, 24

Now, out these the only number which is not a factor of 6 is 21.

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Correct question is ;

Given the equation of the parabola x² = -36y

The focus of the parabola is:

Answer:

Option C - Focus = (0,-9)

Step-by-step explanation:

The equation of the parabola is:

x² = -36y

Thus, y = - x²/36

Using the vertex form,

y = a(x − h)² + k, to determine the values of a, h, and k.

We will have;

y = (-1/36)(x − 0)² + 0

Thus,

a = - 1/36

h = 0

k = 0

The distance (p) from the vertex to a focus of the parabola is gotten by using the following formula.

p = 1/4a

So, p = 1/(4*(-1/36))

p = - 1/(1/9)

p = -9

Now, The focus of a parabola can be found by adding p to the y-coordinate k if the parabola opens up or down.

Focus is (h, k+p)

Plugging in the relevant values, we have;

Focus = (0, (0 + (-9))

Focus = (0,-9)

Answer:

8 meters

Step-by-step explanation:

Since the 4 sides of a square are all equal, the area of a square can be found using:

a=s*s or

a=s^2

We know that the area is 64 square meters, so we can substitute 64 in for a

64=s^2

We are trying to find a side, s, so we have to get s by itself. Since s is being squared, take the square root of both sides. This will cancel out the exponent, and leave s by itself.

[tex]\sqrt{64}=\sqrt{s^2}[/tex]

8=s

So, one side of the backyard is 8 meters

Step-by-step explanation:

The roots are equal, so the discriminant equals 0.

b² − 4ac = 0

(2k)² − 4 (k²−1) (3k+1) = 0

4k² − 4 (3k³ + k² − 3k − 1) = 0

k² − (3k³ + k² − 3k − 1) = 0

k² = 3k³ + k² − 3k − 1

0 = 3k³ − 3k − 1

I count n=12 observations, sorted they're

0 0 0 1  1 2 2 3  3 4 5 10

The median is the middle value, or the average of the two middle ones when we have an even number.  That's (2+2)/2=2

Median: 2

The mode is the most common observation.  Three friends had no pets.

Mode: 0

The range is maximum minus minimum, so 10 - 0 = 10

Range: 10

Answer:

The answer would be a square

Step-by-step explanation:

Since when you slice a cube parallel to one of its faces, one way or the other you will see a square since a cube is mostly just a 3 dimensional square.

hope this helps you

Answer:

Step-by-step explanation:

5(4)+ 3

20+3

23

Answer:

11/54 is n did you want it in decimal form 0.2037 bar on top of 03

Answer:

D: 8 and 2 and then 8 and 6.

Step-by-step explanation:

Corresponding angles are angles in the same position at an intersection of lines. For example, some of the corresponding angles in this picture are 1 and 7, and 8 and 2. Alternate interior angles are angles that are on the opposite sides of a transversal but are on the inner sides. For example, 8 and 6 and 7 and 5. If you look at all the options and use process of elimination, D will be the only possible answer. For A, 1 and 2 are not corresponding angles, as they are on opposite sides of the same line. For B, 4 and 6 are not alternate interior angles. They are vertical angles, congruent angles mirrored on the opposite side. For C, 7 and 2 are not corresponding angles, as they are not in the same relative position. Therefore, D is the only answer left. 8 and 2 are corresponding angles: they are both on the right side of the lines next to them. 8 and 6 are alternate interior angles, since they are on the opposite sides of the line, but on the inside.

Answer:x=8 or x=-2

Step-by-step explanation:

log4(x-6) + log4(x)=2

log4(x(x-6))=2

4^2=x(x-6)

4x4=x(x-6)

16=x^2-6x

Arrange the quadratic equation

x^2-6x-16=0

x^2+2x-8x-16=0

x(x+2)-8(x+2)=0

(x-8)(x+2)=0

x-8=0. x+2=0

x=8. x=-2

Answer:

Pierre is right.

Step-by-step explanation:

A growth rate of 2% means that the values is increasing by 0.02 each year so the multiplying factor is 1.02.

Pierre is correct y = 300(1.02)^x.

Scotts  answer 1.2 = a growth rate of 20%.

Answer:

Theoretical  --- probability is based on expected or calculated results.

Experimental  --- probability is based on the actual recorded results of an  experiment.

Step-by-step explanation:

Theoretical assumptions are those hypotheses not proven to be real, whose probabilities of materializing depend on the future confirmation of the premises established. Thus, these theories are established based on different experiences and previous situations, or based on data still not scientifically proven.

Instead, the experimental results are those that have already been confirmed based on tests, tests and experiments that affirm or deny the previously established theories.

Answer:

16 pigs and 27 ducks

Step-by-step explanation:

Let the number of pig be x

And let the number of ducks be y

X+y = 43.... equation 1

each duck has exactly two legs and each pig has exactly four leg.

Total leg is 118

4x + 2y = 118 ..... equation 2

X+y = 43

4x + 2y = 118

4(X+y = 43)

4x +4y = 172

4x + 2y = 118 - 4x +4y = 172

-2y = -54

Y = 27

If y = 27

X+y = 43

X = 43-27

X= 16

Answer:

draw a line from R to S

Step-by-step explanation:

just a simple line connecting the two, leave out Q and T.

Answer:

connect point R and point S with a straight line

Step-by-step explanation:

It's like connect the dots.... but with letters instead of numbers.

Answer:

sorry dont know

Step-by-step explanation: