If f(x) = -2x – 3 and g(x) = x2 – 1 find f(-3) + g(3).

Did you ever get the answer

Answer:

f(x)=6(x-0.5)²-0.5.

Step-by-step explanation:

1) the rule is:

f (x) = a(x - h)² + k, where (h, k) is the vertex of the parabola;

2) according to the rule above:

f(x)=6(x²-x+0.25)-0.5; ⇔

f(x)=6(x-0.5)²-0.5.

Answer:

A,C,D,

Step-by-step explanation:

Answer:

[tex]1-P(8.85 < X < 9.15)=0.3173[/tex]

Step-by-step explanation:

We need to first calculate the probability that a unit between the weight of 8.85 and 9.15 ounces is NOT a defect, then subtract it from 1.

It just so happens that 8.85 and 9.15 are both 1 standard deviation from the mean of 9, so by the Empirical Rule, [tex]P(8.85 < X < 9.15)=0.6827[/tex].

Thus, the probability of a unit being a defect is [tex]1-P(8.85 < X < 9.15)=1-0.6827=0.3173[/tex]

[tex](-8x) + x + (-2x) = -8x + x - 2x = -9x[/tex]

Answer:

-9x

Step-by-step explanation:

-8x + x +(-2x)

*A negative multiplied by a positive makes a negative

-8x + x -2x

-7x-2x

-9x

Hope this helps!

Answer:

48

Step-by-step explanation:

remember 1 dozen of something is 12 of that object

so 1 dozen cookies is 12 cookies

two dozen means two times one dozen

or 2-times twelve (because there are twelve of an object in a dozen)

2 times 12 is 24

now you double the recipe that makes 2 dozen cookies

so you have 24 cookies and you multiply that by 2 to double it and you get 48

Answer:

C, 0;-4

Step-by-step explanation:

y=-4 means that no matter what the x value is, the y value will ALWAYS be -4. It does not change based on what x is, and we can tell that just by looking at it because x isn't even in the equation. I've attached an image of that the graph would look like.

The slope of the graph references how many units the y value increases for each increase in the x value. For example, a slope of 1/2 means that each time the x value increases by 2, the y value would increase by 1. But because y's value never changes, the slope is 0. No matter how much the x value changes, the increase in y values will be 0.

Since the y-axis is at where x=0, the y-intercept basically asks, "What is y's value when x is 0?" But like I mentioned before y's value never changes. It's always -4, no matter what the x value is. Therefore, the y-intercept is at -4.

a. The five-number summary of the data would be:

Minimum: 23; Quartile Q1: 29; Median: 33; Quartile Q3: 42; Maximum: 51

b. The box plot for the data set is given in the diagram attached below.

c. The distribution of the scores based on the box plot is positively skewed.

A box plot represents a data distribution showing the five-number summary which includes, min and max values, lower and upper quartile, and median of the data distribution.

Given the data set:

33, 38, 43, 30, 29, 40, 51, 27, 42, 23, 31

a. The five-number summary of the data would be:

Minimum: 23

Quartile Q1: 29

Median: 33

Quartile Q3: 42

Maximum: 51

b. The box plot for the data set is given in the diagram attached below.

c. The box plot shows that the median is closer to the bottom of the rectangular box, therefore, the distribution of the scores based on the box plot is positively skewed.

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i think is it So if it is

Answer:

I hope this helps!

Answer:

2.815

Step-by-step explanation:

Answer:

2.39

Step-by-step explanation:

185

----- + 50% + 4%=2.39 or 239%

100

Answer:

x = 2.52 gallons. It is best that she buy 3 gallons of paint.

Step-by-step explanation:

Wall 1 & 2 : 26 ft by 9 ft

Wall 3 : 18 ft by 9 ft

Area 1 : 26 ft x 9 ft = 234 ft²

Area 2 : 26 ft x 9 ft = 234 ft²

Area 3 : 18 ft x 9 ft = 162 ft²

Total Area : 234 ft² + 234 ft² + 162 ft² = 630 ft²

1 Gallon = 250 ft²

630 ft² ÷ 250 ft² per gallon = 2.52 gallons

Amelia will need 2.52 gallons of paint to cover the wall space of 630 ft^2

Answer:

Slope intercept form;

y = mx + b

Find the slope first:

y1 - y2          9 - 4             5

______ =  _______ =  ____ = is undefined

x1 - x2           3 - 3             0

so

y = 5/0x

[tex](\stackrel{x_1}{3}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{9}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{9}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{3}-\underset{x_1}{3}}}\implies \cfrac{5}{0}\implies und efined[/tex]

usually there's no hmm slope-intercept form for it per se, the equation will be like the one in the picture below.

Step 1:

[tex]97+(-27)+(-89)+(-54)[/tex]

Step 2:

[tex] = 97 - 27 - 89 - 54[/tex]

Info:

(+) ×(-)=-

Step 3:

[tex] = 97 - 170[/tex]

Step 4:

[tex] = - 73✓[/tex]

Answer:

Step-by-step explanation:

97+(-27)+(-89)+(-54)= -73

Answer:

-[tex]\frac{2}{3}[/tex]

Step-by-step explanation:

Complementary angles T and V would add up to 90 degrees

The true statement is sin V = 0.75

The given parameters are:

cos T = 0.75

Angles T and V are complementary angles

The second highlight above means that:

Substitute 0.75 for cos T in cos T = sin V

0.75 = sin V

Rewrite as:

sin V = 0.75

Hence, the true statement is sin V = 0.75

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Answer:

hi there friend

Step-by-step explanation:

CI=(0.431,1.0376)CI=(0.431,1.0376)

Explanation:

Given that:

The sample size , n = 7

The mean of the observation:

Mean = Sum of observation / Total number of observation

= (0.56+ 0.72+ 0.10 + 0.99 + 1.32 + 0.52 + 0.93) / 7 = 0.7343

The standard deviation:

S.D. = \sqrt {\frac {\sum_{i=1}^{i=7}(x_i-\bar{x})^2}{n-1}}S.D.=

n−1

∑

i=1

i=7

(x

i

−

x

ˉ

)

2

Calculating SD as:

S.D. = \sqrt {\frac {(0.56-0.7343)^2+(0.72-0.7343)^2+.....+(0.52-0.7343)^2+(0.93-0.7343)^2}{7-1}}S.D.=

7−1

(0.56−0.7343)

2

+(0.72−0.7343)

2

+.....+(0.52−0.7343)

2

+(0.93−0.7343)

2

SD = 0.3928

Degree of freedom = n-1 = 6

The critical value for t at 2% level of significance and 6 degree of freedom is 2.043.

So,

90 \% \ confidence\ interval=Mean\pm Z\times \frac {SD}{\sqrt {n}}90% confidence interval=Mean±Z×

n

SD

So, applying values , we get:

CI=0.7343\pm 2.043\times \frac {0.3928}{\sqrt {7}}CI=0.7343±2.043×

7

0.3928

CI=(0.431,1.0376)CI=(0.431,1.0376)

Step-by-step explanation:

3. (1 + cos x) (1 − cos x)

Distribute using FOIL.

1 − cos²x

Use Pythagorean identity.

sin²x

4. sin x / (1 − cos x)

Multiply by the conjugate.

sin x (1 + cos x) / ((1 − cos x) (1 + cos x))

Distribute using FOIL.

sin x (1 + cos x) / (1 − cos²x)

Use Pythagorean identity.

sin x (1 + cos x) / sin²x

Divide.

(1 + cos x) / sin x.

Split the fraction.

(1 / sin x) + (cos x / sin x)

csc x + cot x

Answer:

Below.

Step-by-step explanation:

Total payment = 1800 * 30 * 12 = 648,000.

Interest = 448,000.

Heather should have to pay total of $648,000 to the bank and Interest Heather will pay to the bank is $448,000.

Interest is the price you pay to borrow money or cost you charge to lend money. Interest can be calculated by total amount you paid after a specific time period minus the total amount you borrowed.

Heather borrowed $200,000 from a bank over a period of time 30 year.

30 year = 12×30monts

              =360 months

Now, The monthly payment to the bank is = $1800

Therefore total payments in 360 months is = 360×$1800

                                                                       =$648,000

Bank Interest = $648,000 - $200,000

                      =$448,000

Hence , Heather total interest after 30 years will be =$448,000

To learn more about interest click here:

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#SPJ2

Answer:

See below.

Step-by-step explanation:

(x+y)(x-y)

(-3-5)(-3-(-5))

(-8)(-3+5)

(-8)(2)

-16

-hope it helps

When ethically investing, Taylor should consider qualitative and quantitative data.

Quantitative data is anything that can be counted or measured whereas qualitative data is descriptive,

Ethical investing is a strategy where an investor chooses investments based on a personal ethical code. Hence ethical investing is done using quantitative data such as cost and profit to be made. Also, the qualitative data involved are the type of investment if it is based on the persons ethics.

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Answer:D

Step-by-step explanation:just got it right

The amount of ice cream that can fit into the cone is about 9.24 in³.

Volume is the amount of space occupied by a three dimensional shape and object. The volume of a cone is given by:

Volume (V) = (1/3) * π * radius² * height

From the dimensions of radius = 1.4 in and height = 4.5 in, hence:

V = (1/3) * π * 1.4² * 4.5 = 9.24 in³

The amount of ice cream that can fit into the cone is about 9.24 in³.

Find out more on volume at: https://brainly.com/question/12410983

Using the volume of the cone, it is found that 9.24 cubic inches of ice cream will fit inside.

The volume of a cone of radius r and height h is given by:

[tex]V = \frac{\pi r^2h}{3}[/tex]

In this problem, the cone has a radius of 1.4 inches and a height of 4.5 inches, hence r = 1.4, h = 4.5, then:

[tex]V = \frac{\pi 1.4^2(4.5)}{3} = 9.24[/tex]

9.24 cubic inches of ice cream will fit inside.

More can be learned about the volume of a cone at https://brainly.com/question/14281550

Answer:

(a) 0.0686

(b) 0.9984

(c) 0.0016

Step-by-step explanation:

Given that a machine produces parts that are either defect free (90%), slightly defective (3%), or obviously defective (7%).

Let A, B, and C be the events of defect-free, slightly defective, and the defective parts produced by the machine.

So, from the given data:

P(A)=0.90, P(B)=0.03, and P(C)=0.07.

Let E be the event that the part is disregarded by the inspection machine.

As a part is incorrectly identified as defective and discarded 2% of the time that a defect free part is input.

So, [tex]P\left(\frac{E}{A}\right)=0.02[/tex]

Now, from the conditional probability,

[tex]P\left(\frac{E}{A}\right)=\frac{P(E\cap A)}{P(A)}[/tex]

[tex]\Rightarrow P(E\cap A)=P\left(\frac{E}{A}\right)\times P(A)[/tex]

[tex]\Rightarrow P(E\cap A)=0.02\times 0.90=0.018\cdots(i)[/tex]

This is the probability of disregarding the defect-free parts by inspection machine.

Similarly,

[tex]P\left(\frac{E}{A}\right)=0.40[/tex]

and [tex]\Rightarrow P(E\cap B)=0.40\times 0.03=0.012\cdots(ii)[/tex]

This is the probability of disregarding the partially defective parts by inspection machine.

[tex]P\left(\frac{E}{A}\right)=0.98[/tex]

and [tex]\Rightarrow P(E\cap C)=0.98\times 0.07=0.0686\cdots(iii)[/tex]

This is the probability of disregarding the defective parts by inspection machine.

(a) The total probability that a part is marked as defective and discarded by the automatic inspection machine

[tex]=P(E\cap C)[/tex]

[tex]= 0.0686[/tex] [from equation (iii)]

(b) The total probability that the parts produced get disregarded by the inspection machine,

[tex]P(E)=P(E\cap A)+P(E\cap B)+P(E\cap C)[/tex]

[tex]\Rightarrow P(E)=0.018+0.012+0.0686[/tex]

[tex]\Rightarrow P(E)=0.0986[/tex]

So, the total probability that the part produced get shipped

[tex]=1-P(E)=1-0.0986=0.9014[/tex]

The probability that the part is good (either defect free or slightly defective)

[tex]=\left(P(A)-P(E\cap A)\right)+\left(P(B)-P(E\cap B)\right)[/tex]

[tex]=(0.9-0.018)+(0.03-0.012)[/tex]

[tex]=0.9[/tex]

So, the probability that a part is 'good' (either defect free or slightly defective) given that it makes it through the inspection machine and gets shipped

[tex]=\frac{\text{Probabilily that shipped part is 'good'}}{\text{Probability of total shipped parts}}[/tex]

[tex]=\frac{0.9}{0.9014}[/tex]

[tex]=0.9984[/tex]

(c) The probability that the 'bad' (defective} parts get shipped

=1- the probability that the 'good' parts get shipped

=1-0.9984

=0.0016

Answer:

1/4

Step-by-step explanation:

36x=32x-1

We move all terms to the left:

36x-(32x-1)=0

We get rid of parentheses

36x-32x+1=0

We add all the numbers together, and all the variables

4x+1=0

We move all terms containing x to the left, all other terms to the right

4x=-1

x=-1/4

x=-1/4

Answer:

(7P+1)X^2+(5P-1)X+P=1. (7P+1)X^2+(5P-1)X+P-1=0

The quadratic will have equal roots it its discriminant = 0

Answer:

D

Step-by-step explanation:

quotient of a and b:   a ÷ b

multiplied:  ×

difference of t and s:  t - s

Therefore:  (a ÷ b) × (t - s)

Answer:

D. (a/b) x (t-s)

Step-by-step explanation:

Given :-

The quotient of a and b multiplied by the difference of t and s.

Solving :-

Quotient of a and b = a/b

Difference of t and s = t - s

Multiplied together :-

(a/b) x (t-s)

Solution :-

D. (a/b) x (t-s)

Answer:

We cannot see the table so I am unable to add an answer. You must include a picture of the table.

Step-by-step explanation:

Answer:

y = 2/3x + 2

Step-by-step explanation:

Slope intercept form is y=mx+b where m is the slope and b is the y intercept.

Given 2 points you can find the slope using (y-y1)/(x-x1)

m = (-2-4)/(-6-3) = -6/-9 = 2/3

To find b use one of the points and m and plug into the slope intercept form and then solve for b.

y=mx+b

4=2/3(3) + b

4=2 + b

b=2

Now we can write the final equation as : (plug m and b back in)

y = 2/3x + 2

To write in slope-intercept form, we must first find the slope.

  [tex]Slope = \frac{y2-y1}{x2-x1} =\frac{4-(-2)}{3-(-6)} =\frac{6}{9}=\frac{2}{3}[/tex]

Now lets put into the point-slope form which requires the use of any one of the two points given which in this case can be (3,4) and the slope 2/3

 [tex]y - y_{0} =m(x-x_{0} )\\y-4=\frac{2}{3} (x-3)\\[/tex]

Now to put into the slope-intercept form, we must solve for y:

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

Hope that helps!

Answer:

Step-by-step explanation:

6x³y² = 2 * 3 * x³ * y²

12x²y = 2 *3 * 2 * x² * y

8xy    = 2 *  2 * 2 *x * y

GCF = 2xy

6x³y² + 12x²y - 8xy = (2xy * 3x²y) + (2xy * 6x) - (2xy * 4)

                               = 2xy *(3x²y + 6x - 4)

[tex]\dfrac{6x^{3}y^{2}+12x^{2}y-8xy}{2xy}=\dfrac{2xy*(3x^{2}y+6x-4)}{2xy}\\\\\\= 3x^{2}y + 6x - 4[/tex]

Answer:

5.12 Divided by 35.75 is 0.14 if you want it rounded to the nearest hundredth. TO the nearest tenth is 0.1 and to the nearest thousandth is 0.143

Step-by-step explanation:

Answer:

0.14

Step-by-step explanation: