please answer asap! will give brainliest!! How many solutions does the system of equations x − y = − 2 and y = (2x + 3)2 − 2 have?

Infinitely many
0
1
2

Answers

Answer 1

The number of solutions the system of equation x - y = -2; y = (2x + 3) is one solution.

The correct answer option is option c

How to find number of solutions in a system of equation

x - y = -2

y = (2x + 3)

Substitute equation (2) into (1)

x - y = -2

x - (2x + 3) = -2

x - 2x - 3 = -2

-x = -2 + 3

-x = 1

x = -1

Substitute the value of x into equation (1)

x - y = -2

-1 - y = -2

Add 1 to both sides

-y = -2 + 1

-y = -1

divide both sides by the coefficient of -y which is -1

y = -1/-1

y = 1

In conclusion, the equation x - y = -2; y = (2x + 3) has only one solution.

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Answer 2

Answer:

It's two solutions

Step-by-step explanation:

100% sure look at the graph, the functions intersect exactly two times.


Related Questions

list the next four multiples of the unit fraction 1/2

Answers

Answer:

1, 3/2, 2, 5/2

Step-by-step explanation:

1/2 x 2 = 1

1/2 x 3 = 3/2

1/2 x 4 = 2

1/2 x 5 = 5/2

Answer:  2/4, 4/8, 8/16, 16/36

Step-by-step explanation:  hope i help and brainlies pls

NO LINKS!!! Use the following graph of f(x) to answer the following below.

Answers

Answer:

  a) inc: (-6, 2) ∪ (8, 11); dec: (2, 8)

  b) (2, 4) and (8, -2)

  c) min: (-8, -3); max: (2, 4)

  d) D: [-6, 11]; R: [-3, 4]

  e) -2

  f) {0, 4}

  g) up: (6, 10); down: (0, 6) ∪ (10, 11)

Step-by-step explanation:

a)

The graph is increasing where the slope is positive. The graph is decreasing where the slope is negative. Points where the slope is zero are not part of the interval. End points of the domain are generally not included, either.

  increasing: (-6, 2) ∪ (8, 11)

  decreasing: (2, 8)

__

b)

Critical points are points where the slope is zero (tangents are horizontal) or undefined (tangents are vertical).

  critical points: (2, 4) and (8, -2)

__

c)

Minima and maxima are found either at turning points or the ends of the domain. Here, we have ...

  absolute minimum: (-8, -3)

  local minimum: (8, -2)

  local maximum: (11, 1)

  absolute maximum: (2, 4)

__

d)

The domain is the horizontal extent of the graph. The range is the vertical extent.

  domain: [-6, 11]

  range: [-3, 4]

__

e)

To find the function value for a given value of x, locate that value of x on the graph and see where the function crosses that vertical grid line. Here, the point is marked (8, -2).

  f(8) = -2

__

f)

Points where f(x) = 3 will have y-coordinates of 3. They will be at the intersection of the horizontal line y=3 and the graph. Here, they are marked for you:

  f(0) = 3

  f(4) = 3

The values of x where f(x) = 3 are 0 and 4.

__

g)

Concavity switches from up to down, or vice versa, at points of inflection. Here, the points of inflection are hard to determine. We will assume they are the points marked (6, 0) and (10, 0).

Where the graph has a ∩ shape (slope is decreasing), the concavity is down. Where the graph has a ∪ shape (slope is increasing), the concavity is up. The slope on the interval (-6, 0) is constant at +1, so is neither increasing nor decreasing. There is no concavity on that interval.

 concave down: (0, 6) ∪ (10, 11)

  concave up: (6, 10)

Câu 33, 36, 47, 48, 59, 78, 83, 98, 99, 109.

Answers

Answer:

Following ungrouped data of Sales of a company (in millions) is available

52 33 70 95 57 61

57 64 54 94 38 61

50 39 94 63 59 31

68 88 93 48 82 82

74 70 92 76 98 91

32 33 31 75 54 48

36 64 63 66 92 98

36 54 71 86 84 55

91 34 64 67 89 78

97 92 53 56 68 55

93 42 51 77 36 93

44 66 63 33 68 79

83 53 86 76 35 40

55 41 36 39 42 96

60 53 38 51 95 56

48 69 49 33 95 37

83 62 96 34 85 32

39 59 77 62 35 34

54 89 36 45 83 34

39 61 88 86 55 33

69 54 30 38 79 77

95 34 38 91 80 90

88 45 95 71 80 43

61 40 31 61 58 53

91 63 60 94 98 53

50 34 75 74 90 98

1. Make the frequency distribution table with appropiate class interval, frequency,

cumulative frequency.

1. Calculate the mean, median, mode and quartiles of grouped data.

2. Calculate the standard deviation, variance and range

3. Make the following diagrams: Histogram, Frequency Polygon, Olive

pls answer the question (I'll give brainliest)

Answers

Answer:

10.6 oz

Step-by-step explanation:

To find the answer, we need to divide 2.65/0.25

This will give us how many ounces she bought

So our final answer is…

10.6 oz!

If this was helpful, please award brainliest I would REALLY appreciate it!

I had 6 bananas and 4 apples. A hungry baboon ate two of the fruits before being chased by a dog.find probability that the baboon ate
1) two bananas
2) different fruit

Answers

Answer:

two bananas because he's a monkey

Step-by-step explanation:

Suppose that y varies directly with x, and y=6 when x= 15.

(a) Write a direct variation equation that relates x and y
Equation: ?

1 (b) Find y when x = 20
y = ?​

Answers

y = x - 9

y = 1 when x = 10

y = 11
x=20 y=9
(20,9)
15-6=9
9=3/5(20)
9=12
-12/-12
12-9=3

you are being watched type the secret code for your ticket
( each line below will pass through one point, graph each line to find your code word )

letter 1: y=1/2x-3
letter 2: y=-4x-2
letter 3: y=-1/3x+4
letter 4:y=1/4x+2
letter 5:y=-2x-1

Answers

Answer:

The answer is LSAGE

Step-by-step explanation:

Hope this helps lol

Answer:

SHINE

Step-by-step explanation:

remember : the slope (the factor of x in the equations) is the ratio "y coordinate change / x coordinate change".

and the constant at the end of the equations are the y-intercept (the y value for x = 0).

Find the value of the variable

Answers

Answer:

q=8

Step-by-step explanation:

The ratio of sides from bigger to smaller is 1/2.

q=1/2(16)

q=8

Hope it helps!

You buy painting supplies for $12,
and you charge $3 per person to paint faces. How
many faces will you need to paint to earn $15

Answers

Answer:

9

Step-by-step explanation:

If you want to get $15 profit, You will need to paint 9 faces. You spent $12 on painting supplies so this is the explanation.

$3 x 9 = $27

$-12 + $27 = $15

That way, you earn $15.

2: A train leaves Cardiff at 10:45am. It takes 39 minutes to reach Bristol. What time did the train reach Bristol?​

Answers

Answer:

11:24am

Step-by-step explanation:

10:45 to the nearest hour is 11am

It takes 15mins to reach the hour. (39-15=24)

Add the remaining 24minutes to the hour and you have your answer.

11:24am

find the mean, median and mode

Answers

Answer:

Mean: 26.88

Median: 27

Mode: 27

Step-by-step explanation:

19,20,20,21,21,21,22,22,23,23,23,25,25,25,25,25,27,27,27,27,27,27,27,27, 27,27,28,28,28,29,29,29,29,29,29,30,30,30,30,33,33,34,35,40

Mean: 26.88

Median: 27

Mode: 27

Sorry if there are any repeating numbers, this is quite long.

Hope this helps!

Need help!!!
Select the correct answer.

Which table represents a quadratic relationship?

Answers

your answer is C.
stay safe!

The table which  represents a quadratic relationship is in option [tex]D[/tex].

What is quadratic relationship ?

A quadratic relationship is a mathematical relation between two variables that follows the form of a quadratic equation.

Quadratic sequence [tex]=an^2 +bn+c[/tex]

So, According to the definition mentioned above if table follows the  form of a quadratic equation then it is in quadratic relationship.

So,

To find out quadratic relationship,

We will find first difference in every table and then second difference (Second difference is the difference between the first difference).

We have,

Table A;

[tex]\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &4&2-4=-2\\-1& &2&1-2=-1&-1+2=1\\0& \ &1&0.5-1=-0.5&-0.5+1=0.5\\1& &0.5&0.25-0.5=-0.25&-0.25+0.5=0.25\\2& &0.25&0.125-0.25=-0.125\\3& &0.125\end{array}\right[/tex]

So, In the above table we can see that second difference  is not equal that means it is not in quadratic relationship.

Now,

Let Table D;

[tex]\left \begin{array}{ccccc}x& \ &f(x)&First\ Difference & Second\ Difference \\-2& &-23.4&\\-1& &-23.2&-23.2+23.4=-0.2&0.2-0.2=0\\0& \ &-23&-23+23.2=-0.2&0.2-0.2=0\\1& &-22.8&-22.8+23=-0.2&0.2-0.2=0\\2& &-22.6&-22.6+22.8=-0.2\\3& &-22.4&-22.4+22.6=-0.2\end{array}\right[/tex]

So, here in this table, we can see that second difference  is equal that means it is in quadratic relationship.

Hence, we can say that the table which  represents a quadratic relationship is in option [tex]D[/tex].

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What is 3/4 divided by 7/8?

Answers

Answer:

0.85714285714

Answer:

6/7

Step-by-step explanation:

Reduce the expression, if possible, by cancelling the common factors.

Hope this helps! Have a great day!!

F(x)=2x+6, g(x)=4x^2+1; find (g • f)(1)

Answers

Answer:

257

Step-by-step explanation:

[tex]g\cdot{f}=4(2x+6)^2+1\\(g\cdot{f})(1)=4(2*1+6)^2+1=4\times64+1=257[/tex]

Find three decimals that make the number sentence true.
-0.01 <

0.01
-0.001
-0.1
-5
-0.009
-200

Answers

Answer:

−0.01≤

So we need to put the right number to make the sentence true.

In this case, we just need to put same or bigger number then -0.01.

So the correct answer can be: -0.01,1,2,3,260

Simplify
(-x)^6
Write your answer with only positive exponents

Answers

[tex] \sf( { - x)}^{6} [/tex]

[tex] \\ \\ [/tex]

[tex] \leadsto \sf {x}^{6} [/tex]

(when ever power is positive - sign removes)

Why?

Cause : - × - = +

Syntax Error so it is a wrong question

What is the measure of angle PBQ

Answers

Answer:

m∠PBQ=51

Step-by-step explanation:

By vertical angles theorem, ∠PBQ ≅ ∠LBM, so m∠PBQ=m∠LBM.

And since ∠LBM & ∠LBQ are supplementary, we'll write,

m∠LBM+LBQ=180°

3x+(4x+61)=180°

Let's solve for x:

7x=119

7x/7=119/7

x=17

So...

m∠LBM=3(17)

m∠LBM=51

This means that m∠PBQ=51

Hope this helps! :)

The measure of pbq is 51

What is the volume of this sphere?
Use a ~ 3.14 and round your answer to the nearest hundredth.
4 m

Answers

Answer:

Step-by-step explanation:

volume of the sphere=4/3 π (4)³=256 /3 π=256/3 ×3.14≈267.95 m³

Help me please if you can

Answers

Answer:

perimeter = 1 3/4

Step-by-step explanation:

1. 3/4 x 2 because there are two sides with the fraction 3/4. 3/4 x 2 is 1 1/2

2. 1/8 x 2 because there are two sides with the fraction 1/8. 1/8 x 2 is 1/4

3. 1 1/2 + 1/4 = 1 3/4

wich is greter 6/10 or 9/8

Answers

Answer:

9/8

Step-by-step explanation:

There are a few ways to look at this.

Starting with the easier way, we see that 9/8 is a fraction above one (this is when the numerator is greater than the denominator), while 6/10 is not, therefore 9/8 is the greater fraction.

Next, we can find the common denominator of the fractions. The least common multiple of 10 and 8 is 40. Now, we can multiply 6/10 by 4 (because 10 x 4 = 40) and 9/8 by 5 (because 8 x 5 = 40)

As a result, we get 24/40 and 45/40, and we can see that 45 is greater than 24.

Brainliest if correct

Answers

Answer:

x = 19.

Step-by-step explanation:

We have to simplify this equation.

Like this:

2 * x + 8 = 46.

The closest number to x is 19:

2 * 19 + 8 = 46

Solve:

2 * 19 + 8 = 46= 38 + 8 = 46= 46.

x = 19.

what is 72/-8 simplified.​

Answers

72/-8

9/-1

-9 is your answer

Choose the exponential form of the logarithmic equation log4(9x+7)=5.

Answers

Answer:

Use the definition of a logarithm,

log b(x)= y ⟹  b^y = x, to convert from the logarithmic form to the exponential form. 10^5 = 4

Step-by-step explanation:

The exponential form of the given logarithmic equation is [tex](9x+7)=4^5[/tex].

Important information:

The logarithmic equation is [tex]\log_4(9x+7)=5[/tex].Logarithmic equation:

The given equation can be written as:

[tex]4^{\log_4(9x+7)}=4^5[/tex]

[tex](9x+7)=4^5[/tex]               [tex][\because a^{\log_ab}=b][/tex]

Therefore, the exponential form of the given logarithmic equation is [tex](9x+7)=4^5[/tex].

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What shape do these coordinates make? ( 2, 7 ), ( 8, 7 ), ( 8, 3 ), ( 2, 3 )

Answers

It makes a rectangle if graphed.

If you need more help just comment!

Please like and brainiest

Jan is making a logo for her company. She begins with a 6-cm-by-12-cm rectangle. Two points along the bottom side divide that side into three equal pieces. A point on the top side divides that side into two equal pieces. The logo itself is the total shaded area, as shown. What is the area of the shaded logo, in square cm?

Answers

The area of a shape is the amount of space the shape occupies

The area of the shaded region in square cm is 48 square cm

How is the area of the logo calculated

The logo is a trapezoid with the following dimensions

Height = 12 cmParallel sides: 6 cm and 2 cm

The area of a trapezoid is:

Area = 0.5 * Height * (Sum of parallel sides)

Substitute known values

Area = 0.5 * 12 cm * (6cm + 2cm)

Evaluate

Area = 48 square cm

Hence, the area of the logo i.e. shaded region is 48 square cm

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The equation e^y= 2x is equivalent to
y = In 2
y = In x
y = In 2x

Answers

Answer:

y = ln(2x)

Step-by-step explanation:

Neat document provided.

Alejandra has been practicing her free-throw shots as she gets ready for basketball season. At her last practice, she made 70% of her shots from the free-throw line. If
she shot the ball 130 times:
a. How many times did she make a free-throw?
b. How many times did she miss? What percentage of her shots did she miss?

Answers

Answer:

Behold... your answers are...

A. 91

B. 39, 30%

Winning The Jackpot In A Particular Lottery Requires That You Select The Correct Four Numbers Between 1 And 54 and, in a separate drawing, you must also select the correct single number between 1 and 37. find the probability of winning the jackpot

Answers

It can be deduced that the probability that an individual wins the jackpot will be 0.0000001.

How to calculate the probability

From the information, the required four numbers will be:

= 54! / 4!(54 - 4)!

= 54! / 4!50!

= 316251

The required single number will be:

= 37! /1! (37 - 1)!

= 37

Therefore, the probability of winning the jackpot will be:

= 1 / (316251 × 37)

= 1/11701287

= 0.0000001

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​Write the standard form of the line that contains a slope of 12 and y-intercept of 3. Include your work in your final answer.

Answers

Answer:

y = 12x+3

Step-by-step explanation:

y = mx+c

m is the gradient/slope

c is the y intercept

so m is 12 and c is 3

ames paid off the loan on his motorboat in the year 2006. He originally borrowed $6500 to buy the boat, but with simple annual interest, he discovered that he paid a total of $8775 over the life of the loan. If James’s annual interest rate was 7%, in what year did his loan begin?

Answers

Answer:

C/2001

Step-by-step explanation:

I did it and got it right

Hope this helps and have a good day :)

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