Find two consecutive positive integers such that the square of the larger integer is nineteen more than nine times the smaller integer.

Answers

Answer 1

Step-by-step explanation: 2+2=4 +4x8=9

Related Questions

The function g(x) is a transformation of the quadratic parent function, fx):
What function is g(x)?
90x)
15(x)
A. g(x) = 4x²
OB. g(x) = ² ->
O c. g(z) = -1¹
D. g(x)=-4x²

Answers

Answer: D

Step-by-step explanation:

The graph is narrower, so the coefficient of [tex]x^2[/tex] has an absolute value more than 1.

Eliminate B and C.

Also, because g(x) opens down, the coefficient of [tex]x^2[/tex] is negative.

Eliminate A.

This leaves D as the answer.

∫[tex]\frac{xdx}{(x^{2}+4)^{3} }[/tex]

Answers

Substitute [tex]u=x^2+4[/tex] and [tex]du=2x\,dx[/tex]. Then the integral transforms to

[tex]\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}[/tex]

Apply the power rule.

[tex]\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C[/tex]

Now put the result back in terms of [tex]x[/tex].

[tex]\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}[/tex]

Find the slope and y-intercept of the line whose equation is y=6x=5

Answers

Answer:

the slope is 5 and the y intercept is 5

Step-by-step explanation:

I think that you meant to write y = 6x + 5.

y = mx + b

The number in in the m spot is the slope and the number in the b spot is the y intercept.

Give the opposite of each number. a. 3 b. –9 c. –5 d. 12 Solve each of the following problems. a. 9 + (–6) = ? b. (–5) + 8 = ? c. (–12) + (–6) = ? d. 10 – (–8) = ? e. (–4) – (+2) = ? f. –9 – (–5) = ? Solve each problem. Be sure to include the correct sign in your answer. a. 8 × 3 = ? b. –7 × 5 = ? c. –6 × (–9) = ? d. 8 ÷ (–2) = ? e. –24 ÷ (–3) = ? f. –36 ÷ 6 = ?

Answers

Answer:

Give the opposite of each number : a. -3; b. 9; c. 5; d. -12

Solve each of the following problems : a. 3; b. 3; c. -18; d. 18; e. -6; f. -4

Solve each problem. Be sure to include the correct sign in your answer :

a. 24; b. -35; c. 54; d. -4; e. 8; f. -6

Answer:

Step-by-step explanation:

1.a. –3

b. 9

c. 5

d. –12

2. a. 9 + (–6) = 3

b. (–5) + 8 = 3

c. (–12) + (–6) = –18

d. 10 – (–8) = 18

e. (–4) – (+2) = –6

f. –9 – (–5) = –4

3. a. 8 × 3 = 24

b. –7 × 5 = –35

c. –6 × (–9) = 54

d. 8 ÷ (–2) = –4

e. –24 ÷ (–3) = 8

f. –36 ÷ 6 = –6

5. Multiply the service charge by the number of months in a year.

12 × 7 = $84

Answer: $84 is deducted per year.

6. Add the balance of each year to determine the closing balance.

–$1500 + (–$1200) = –$2700

penn foster

You deposit $4000 each year into an account earning 2% interest compounded annually. How much will you have in the account in 30 years?

Answers

The amount that will be in the account after 30 years is $162,272.32.

How much would be in the account after 30 years?

When an amount is compounded annually, it means that once a year, the amount deposited and the interest already accrued increases in value. Compound interest leads to a higher value of deposit when compared with simple interest, where only the amount deposited increases in value once a year.

The formula that can be used to determine the future value of the yearly deposit of $4,000 in 30 years is : annuity factor x yearly deposit

Annuity factor = {[(1+r)^n] - 1} / r

Where:

r = interest raten = number of years

$4000 x [{(1.02^30) - 1} / 0.02] = $162,272.32

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which statement describes the function below
f(x)=x^3-x^2-9x+9

Answers

2x3 i think maybe yes

Find the unit rate for each brand. Round to the nearest cent (hundredth).

Answers

The unit rate of each of the brands are:

Brand A's unit rate = 37 cents per ounce.

Brand B's unit rate = 31 cents per ounce.

How to Find the Unit Rate?

The unit rate of each brand is simply how much a brand of tomatoes will cost per ounce.

To find the unit rate of each brand, do the following:

Brand A's unit rate = 2.99/8 = $0.37 per ounce = 37 cents per ounce.

Brand B's unit rate = 4.99/16 = $0.31 per ounce = 31 cents per ounce.

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A diver begins at 90 feet below sea level. She descends at a steady rate of 6 feet per minute for 6 minutes. Then, she ascends 20 feet. This expression shows her current depth in feet.

Negative 90 minus 6 (6) + 20

What is her current depth?
Negative 596 feet
Negative 556 feet
Negative 146 feet
Negative 106 feet

Answers

Answer is negative 106 feet
Step by step
Diver is at -90
She descends at -6’ per minute x 6 minutes
So -90 and -36 = -126 ft below sea level
Now she ascends up + 20 feet
So -126 + 20 = -106 current depth
Problem solved

Which is the only state that uses to calculate its area

Answers

A trapezoid sound correct but going to jail is fun

Answer:

The answer is circle.

Step-by-step explanation:

For all the rest of the shapes, we use certain base x height formulas. Square uses base x height along with parallelograms and trapezoids. For a triangle, we use [tex]\frac{base x height}{2}[/tex]. Though, for a circle, we use the formula [tex]\pi r^{2}[/tex] where r= radius.

Maria has 26 cars available to rent. Let C be the number of cars she would have left after renting R of them. Write an equation relating C to R. Then use this equation to find the number of cars she would have left after renting 23 of them.

Answers

Answer:

26 - R = C

3 cars

Step-by-step explanation:

26-R = C

26-23 = 3

In the geometric pattern below, n represents the number of blocks in the bottom row of each figure.
n = 1
n=2
Write a function that models the total number of blocks in terms of n.
OA f(1) = 2; f(n) = f(n-1) + 2n; for n ≥ 2
OB. f(1) = 1; f(n) = f(n-1) + 2n; for n ≥ 2
Oc f(1) = 1; f(n) = f(n-1) + n; for n ≥ 2
OD. f(1) = 2; f(n) = f(n-1) + 4n; for n ≥ 2
n=3

Answers

D. f(1)=2;f(n) = f(n-1) + 4n; for n> 2.

Pizza prices by city (Data in Pizza prices) The company that sells frozen pizza to stores in four markets in the United States (Denver, Baltimore, Dallas, and Chicago) wants to examine the prices that the stores charge for pizza slices. Here are boxplots comparing data from a sample of stores in each market:

Answers

The answers to the questions are

a. No they are not the same

b. The presence of outliers are known to affect the market.

How to solve the box plot

For these areas we have

Q1 = 2.7 Q3 = 3 median = 2.8 out;ier 2.

Q1 = 2.5 Q3 = 2.7 median = 2.6 out;ier 3.1.

Q1 = 2.5 Q3 = 2.75 median = 2.65 out;ier 1.6

Q1 = 2.4 Q3 = 2.6 median = 2.5

We can see that the median prices in the markets are nearly similar except for the one that is conatined in the first market.

Answers

Answer:

A. The reference angle measures 78 degrees

A scientist wants an 81milliliter of saline solution with a concentration of 5% she has concentrations of 3% and 9%. How much of each solution must she use to get the desired concentration

Answers

The quantity of each concentrations of 3% and 9% needed to get the desired concentration is 54 milliliters and 27 milliliters respectively

Simultaneous equation

Let

Quantity of 3% needed = xQuantity of 9% needed = y

x + y = 81

0.03x + 0.09y = 81 × 5%

0.03x + 0.09y = 4.05

x + y = 81

0.03x + 0.09y = 4.05

From (1)

x = 81 - y

Substitute into

0.03x + 0.09y = 4.05

0.03(81 - y) + 0.09y = 4.05

2.43 - 0.03y + 0.09y = 4.05

- 0.03y + 0.09y = 4.05 - 2.43

0.06y = 1.62

y = 1.62/0.06

y = 27

substitute y = 27 into

x = 81 - y

x = 81 - 27

x = 54

Simultaneous equation:

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The tables show proportional relationships between x and y. Match each table with its constant of proportionality.
xy
1 10
2 20
3 30
xy
4 20
8 40
12 60
x y
2 15
4 30
6 45
4
12/04
10
xy
14
2 8
3 12

Answers

First table is 4 second table is 10 third table is 15/2 and fourth is 5

Which rules define the function graphed below?
65
4
3
32
(0.2)
-2
-3-
(3,5)
--3--2--11 1 2 3 4
O y=x; y = 5
O y = x + 2; y = 5
O y=x; x = 5
O y=x+2; x = 5

Answers

The rules that define the piecewise function graphed are as follows:

y = x + 2, y = 5.

What is a piecewise function?

A piecewise function is a function that has different definitions, depending on the input.

In this problem, for x between 0 and 3, a linear function is given, with slope given as follows:

m = (5 - 2)/(3 - 0) = 1.

The y-intercept is of 2, as y = 2 when x = 0, hence the definition is:

[tex]y = x + 2, 0 \leq x \leq 3[/tex]

For x greater than 3, the function is constant at y = 5, hence the definition is:

y = 5, x > 3.

Hence, the rules that are used to define the piecewise function graphed are as follows:

y = x + 2, y = 5.

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Select the correct locations on the graph.

Select the lines that represent functions.

Answers

Answer:

(I've marked the lines considered functions with a check mark)

Step-by-step explanation:

Write out the sum. Do not evaluate.

∑∑k=1 (k^2-5k-3)[tex]4\\E(K^2-5k-3)\\k=1[/tex]

Answers

Series are sum of a given sequence.. The sum of the given expression is -33

Sequence and series

Series are sum of a given sequence. According to the given expression

∑∑k=1 (k^2-5k-3)

Taking the sum from k = 1 to k = 4

Sum = (1-5-3) + (4-10-3) +(9-15-3)+(15-20-3)

Sum = (-7) + (-9) + (-9) + (-8)

Sum = -33

Hence the sum of the given expression is -33

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Find the equation of a line with a slope of 13/2
that passes through the point (−2, — 10).

Answers

Answer: [tex]y=\frac{13}{2} x+3[/tex]

Step-by-step explanation:

Remember the point-slope equation which is [tex]y-y_{1} = m(x-x_{1} )[/tex] where[tex](x_{1} , y_{1} )[/tex] is your point and [tex]m[/tex] is your slope.

Given that we substitute what you have:

[tex]y-(-10) =\frac{13}{2} (x - (-2))[/tex]

Minus and minus give us positive:

[tex]y+10 =\frac{13}{2} (x +2)[/tex]

Multiply slope into the parenthesis:

[tex]y+10= \frac{13}{2}x + \frac{13}{2}*2\\[/tex]

Calculate it:

[tex]y+10= \frac{13}{2}x +13[/tex]

Isolate the [tex]y[/tex] by subtracting 10 from both sides:

[tex]y=\frac{13}{2} x + 13 -10[/tex]

Your final equation is:

[tex]y=\frac{13}{2} x +3[/tex]

Hope this makes sense!

And here's the graph to prove that the line actually goes through the point [tex](-2,-10)[/tex]:

Find the root of the function f(x)=−4x+1.

Answers

Answer: A

Step-by-step explanation:

[tex]-\frac{4}{x}+1=0\\\\1=\frac{4}{x}\\\\x=4[/tex]

Triangle ABC is defined by the points A(3,8), B(7,5), and C(2,3). Create an equation for a line passing through point A and perpendicular to BC.

Answers

The required equation for a line passing through point A and perpendicular to BC exists 2y + 5x = 31.

How to estimate the slope of the line?

First, we must obtain the slope of the line perpendicular to BC

Given the coordinates B(7,5), and C(2,3)

Get the slope BC, exists

[tex]$m_{BC} = \frac{3-5}{2-7}[/tex]

= -2/-5 = 2/5

The slope of the line perpendicular to BC will be -5/2.

The slope of the required line in point-slope form exists expressed as;

[tex]$y - y_0 = m(x - x_0)[/tex]

m = -5/2

[tex](x_0, y_0) = (3, 8)[/tex]

Substitute the values into the formula we get

y - 8 = (-5/2)(x - 3)

2(y - 8) = (-5)(x - 3)

2y - 16 = (-5x + 15)

2y + 5x = 15 + 16

2y + 5x = 31

Therefore the required equation for a line passing through point A and perpendicular to BC exists 2y + 5x = 31.

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Please help me solve this

Answers

If the sample mean is 51,sample size is 21 , sample standard deviation is 15 and confidence level is 95% then the lower bound is 45.35 and upper bound is 56.65.

Given sample mean of 51, sample size of 21, sample standard deviation be 15 and confidence level be 95%.

We are required to find the upper bound and lower bound.

We have to use t test as the sample size is less than 30.

Margin of error is the difference between calculated figures and real figures.

Margin of error= standard deviation* critical value of t

Critical value of t at 0.05 significance level with degree of freedom 20 [21-1] is 1.7247.

Margin of error=1.7247*15/4.5826

(4.5826 is the square root of 21)

=5.6454

Upper bound=51+5.6454

=56.6454

Lower bound=51-5.6454

=45.3546

After rounding off they will be 56.65 and 45.35.

Hence if the sample mean is 51,sample size is 21 , sample standard deviation is 15 and confidence level is 95% then the lower bound is 45.35 and upper bound is 56.65.

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Which of the following expressions would simplify to be the multiplicative identity?
023.32
023.23
021
0 20
NEXT QUESTION
ASK FOR HELP

Answers

The expression that would be simplified to be a multiplicative identity is 2^0

How to determine the expression that would be simplified to be a multiplicative identity?

The complete question is added as an attachment

Multiplicative identities are represented as:

a * 1 = a

This means that the definition of multiplicative identities is the product of a number and 1

From the list of options, we have

2^0

When the exponent of a non-zero number is 0, the result is 1.

This means that

2^0 = 1

Hence, the expression that would be simplified to be a multiplicative identity is 2^0

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Simplify the following fractions.
Please Slove this 2 question

Answers

Answer:

b)14/3 or 4 2/3 C) 256/15 or 14 1/15

Step-by-step explanation:

In the second fraction, the "of" means to multiply

Answer:

[tex] \displaystyle{ \pmb{ \pink{3 \frac{1}{5} \times 3 \frac{1}{2} \div 2 \frac{2}{5} }}}[/tex]

[tex]\frak{SOLUTION:}[/tex]

[tex]\displaystyle \frak{Here,}[/tex]

[tex]\displaystyle{3 \frac{1}{5} \times 3 \frac{1}{2} \div 2 \frac{2}{5} }[/tex]

Convert mixed fractions into improper fractions:

[tex] = \displaystyle{ \frac{16}{5} \times \frac{7}{2} \div \frac{12}{5} }[/tex]

[tex]=\displaystyle{ \frac{16}{5} \times \frac{7}{2} \times \frac{5}{12} \frak{(Performing division)} }[/tex]

[tex]\displaystyle{ = \frac{ \cancel{16} \: {}^{2} \times 7 \times \cancel5}{ \cancel5 \times \cancel 2 \times 12} }[/tex]

[tex]\displaystyle{ = \frac{8 \times 7}{12} }[/tex]

[tex] =\displaystyle{} \frac{56}{12} [/tex]

[tex]\displaystyle{ = \frac{ \cancel2 \times \cancel2 \times 2 \times 7}{ \cancel2 \times \cancel 2 \times 3} }[/tex]

[tex]\displaystyle{ = \frac{14}{3} \frak {\: or} \: 4 \frac{2}{3} } [/tex]

[tex]\displaystyle{\pmb{ \pink{2 \frac{2}{3} \div \frac{1}{2} \: of \: 3 \frac{1}{5} }}}[/tex]

[tex]\displaystyle{ \frak{SOLUTION:}}[/tex]

[tex]\displaystyle \frak{Here,}[/tex]

[tex] \displaystyle{2 \frac{2}{3} \div \frac{1}{2} \: of \: 3 \frac{1}{5} }[/tex]

[tex]\displaystyle{ = \frac{8}{3} \div \left( \frac{1}{2} \times \frac{16}{5} \right)\frak{(Performing "of")}}[/tex]

[tex] = \displaystyle{ \frac{8}{3} \div \left( \frac{1 \times \cancel{16} \: {}^{8} }{ \cancel2 \times 5} \right) }[/tex]

[tex]\displaystyle{ = \frac{8}{3} \div \frac{8}{5} }[/tex]

[tex]\displaystyle{ = \frac{8}{3} \times \frac{5}{8} \frak{(Performing \: division)} }[/tex]

[tex]\displaystyle{ = \frac{ \cancel8}{3} \times \frac{5}{ \cancel8} }[/tex]

[tex] = \displaystyle{ \frac{5}{3} \frak{ \: or \: }1 \frac{2}{3} }[/tex]

Answered by :

[tex]\frak{\pink{seolleaphrodite}}[/tex]

The graph below represents which of the following functions?
-12
-10
OA.
OB.
O C.
D.
4
F(x) =
[[|-*|× <1}
(x+4×21}
F(x) =
F(x) =
F(x) =
{/4-x²|x<2}
x2 2f
X
14-x²|x> 21
x x≤ 2}
2}
XS
{|-*² |× > 3)
(x+4× ≤3)
10
12
C

Answers

Answer: B

Step-by-step explanation:

The parabola has an open hole at x=2, and the line has a closed hole at x=2.

This means the top part of the function should have domain [tex]x < 2[/tex], and the second part of the function should have domain [tex]x \geq 2[/tex].

This eliminates everything except for B.

A roller coaster’s height is given by the equation h = –.025t2 + 4t + 50, where t represents the time in seconds. How long will it take riders to pass over the hill and reach ground level? Hint: Set h = 0.

11.65 seconds
50.00 seconds
171.65 seconds
210.00 seconds

Answers

The time it will take the roller coaster to reach the ground is 171.65 seconds

Function and values

Given the roller coaster’s height given by the following parameters

h = –0.025t² + 4t + 50

On the ground level, the height will be zero. Substitute h = 0 and determine the value of t

–0.025t² + 4t + 50 = 0

0.025t² - 4t - 50 = 0

Factorize

On factorizing the time it will take the roller coaster to reach the ground is 171.65 seconds

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Three brothers, Jarek, Jerzy and Justyn, share a block of chocolate in the ratio of their ages. Jarek gets half of the bar. Jerzy gets 3\5 of the rest. Work out the ratio, in the form Jarek: Jerzy: Justyn, of how the brothers share the bar of chocolate.

Answers

Answer:

5:3:2

Step-by-step explanation:

see image

Jarek gets half. Then from the other half, Jerzy gets 3 pieces of 5 and Justyn gets the leftover 2 pieces. But Jarek's piece is all 5 pieces of the first half.

Jarek 5 parts:

Jerzy 3 parts:

Justyn 2 parts

5:3:2

see image

cual es el valor de 10=z-6

Answers

Answer:

z=16

Step-by-step explanation:

10=z-6

10+6=z-6+6

16=z

Answer:

10=z-6

or, z= 10+6

or, z = 16

the vale of y is 16

There are two bags containing only orange and red marbles. Bag A has 2 orange marbles and 6 red marbles. Bag B has 4 orange marbles and 16 red marbles. A marble is randomly chosen from each bag. List these events from least likely to most likely. Event 1: choosing an orange or red marble from Bag B. Event 2: choosing an orange marble from Bag B. Event 3: choosing an orange marble from Bag A. Event 4: choosing a purple marble from Bag A. Least likely Event Event, Event, X Most likely Event Ś ?

Answers

Answer:

From least to most likely:

Event 4, Event 2, Event 3, Event 1

Step-by-step explanation:

Event 1 has a 100% chance because there are only red and orange marbles in the bag.

In event 2, there are 4 orange marbles in the bag, giving us a (4/20) chance. This is 20%

In event 3, there are 2 orange marbles of 8 total, giving us an (2/8) chance. This is 25%

Lastly, there are no purple marbles in either bag, giving us a 0% chance of this occurring.

Solve for x if AB = 5x and BC = 3x + 24.

Answers

The value of x according to the given task is; 12.

What is the value of x?

It follows from the task content that the value of x is to be determined.

Since, lines AB and BC are both tangent to the circle and they both share a point of intersection; it follows that;

5x = 3x +24

collect like terms

2x = 24

divide both sides by 2

x = 24/2

x = 12.