A group of 9 students has these numbers of children in their families:

3, 2, 4, 2, 1, 5, 1 ,3 ,7

Answer:

A and B

Step-by-step explanation:

Mrs. Quotient asked her students to simplify each of the expressions below. Which of the numbered choices represents the expressions which simplified to the same result? A 126/2 B 23 × 3 C 3 × 21

When simplifying an algebraic expression, the following steps are needed to be taken.

Firstly, remove parenthesis by multiplying the constant with the term in the parenthesis or remove parenthesis using exponent rules for parenthesis in exponent form.

Secondly Combine terms by adding coefficients of terms with the same order and lastly sum all constant.

A) 126/2

Applying the division rule give:

126/2 = 63

B) 23 × 3

Applying multiplication rule gives:

23 × 3 = 69

C) 3 × 21

Applying multiplication rule gives:

3 × 21 = 63

Both the results of expression A and expression B are simplified to the same result

Answer:

Probability ≈ 0.1071

Step-by-step explanation:

Consider steps below;

[tex]Total Possible Outcomes - 8C5,\\\\8! / 5! ( 8 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 * 7 * 8 / ( 1 * 2 * 3 * 4 * 5 )( 1 * 2 * 3 ),\\\\6 * 7 * 8 / 6 = Combinations - 56,\\\\[/tex]

[tex]Number Of Outcomes - 6C5,\\\\6! / 5! ( 6 - 5 )!,\\1 * 2 * 3 * 4 * 5 * 6 / ( 1 * 2 * 3 * 4 * 5 ) ( 1 ),\\720 / 120 * 1,\\\\Outcomes - 6[/tex]

[tex]Conclusion ; Solution - 6 / 56 = ( About ) 0.1071\\Hope That Helps![/tex]

Solution; Probability ≈ 0.1071

Answer:

The probability is 0.107

Answer:

c. The graph has no​ x-intercepts.

Step-by-step explanation:

because it will never touch the x axis

A quadratic function is represented as: [tex]\mathbf{f(x) = ax^2 + bx + c}[/tex]

The conclusion from [tex]\mathbf{b^2 - 4ac > 0}[/tex] is that, the graph has two distinct x-intercepts

There are three possible roots of a quadratic function

When [tex]\mathbf{b^2 - 4ac > 0}[/tex], it means that:

The function has distinct real roots

In other words, the function has 2 different values of x

This implies that,

The function crosses the x-axis two times

When the function cross the x-axis, it means that the function has an x-intercept

Hence, the conclusion is:

a. The graph has two distinct​ x-intercepts.

Read more about quadratic functions at:

https://brainly.com/question/23033812

Answer:

-3, -3

Step-by-step explanation:

Answer:

52.195 miles

Step-by-step explanation:

84 km to miles is 52.195 miles

Answer

speed : metres per second (a)

perimeter : meters (b)

volume : cubic centimetres (d)

area : square metres (c)

Answer:

C.  2 1/2

Step-by-step explanation:

Since there is a distance of 6 1/2 units, you have to add and subtract 6 1/2 from the number.

-4 - 6 1/2 = -10 1/2

-4 + 6 1/2 = 2 1/2

Looking at the answer choices, 2 1/2 can represent point Q.

Answer:

This is the angle in the angle in the fourth quadrant that verifies the given conditions:

[tex]\phi =\frac{11\, \pi}{6} \\[/tex]

Step-by-step explanation:

Notice that in the unit circle, if sin of the angle is negative, and cos of the same angle is positive, we are in the fourth quadrant.

Also, the angle that renders

[tex]sin(\phi)=-\frac{1}{2}[/tex]

in the fourth quadrant, is [tex]\phi =\frac{11\, \pi}{6} \\[/tex]

for such angle, also :

[tex]cos(11 \pi/6)=\frac{\sqrt{3}}2}[/tex]

which verifies the second condition.

In the given diagram ∠AJF or x comes to be 76°.

Opposite Angles are angles directly opposite to each other when two lines intersect in a plane.

We know that ∠JIH+∠JID=180°

107° +∠JID=180°

∠JID=180°-107°

∠JID=73°

∠JDI=31°(given))

In triangle JDI,

∠JDI+∠JID+∠IJD=180°

31° + 73° + ∠IJD =180°

∠IJD =76°

We know that ∠IJD and angle x° are opposite angles.

So, x=76°

Therefore, In the given diagram ∠AJF or x comes to be 76°.

To get more about angles visit:

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Answer:

x =40

Step-by-step explanation:

x and 4x-20 form a straight line which means they add to 180

x+4x-20 = 180

Combine like terms

5x -20 =180

Add 20 to each side

5x = 200

Divide by 5

5x/5 = 200/5

x =40

Answer:

it just looks confusing sry

Step-by-step explanation:

but im usually good at these but it just looks confusing on this one, but maybe it is A. idk sry good luck

Answer:

-60% decrease

Step-by-step explanation:

60 is the old value and 24 is the new value.

percent change = [tex]\frac{new - old}{|old|}[/tex] x 100%

so for this problem, you can substitute the values given in the formula:

percent change = [tex]\frac{60-24}{|60|}[/tex] x 100% = [tex]\frac{-36}{60}[/tex] x 100% =

-60% (decrease)  

Answer negative 9 is the answer

Step-by-step explanation:

Answer: 4 terms and 8 factors

Step-by-step explanation:

^

Answer:

The answer is 72

Step-by-step explanation:

You'll do 42 divided by 7 times 2

42/7x2

Hope it helps.

A car travels 72 km on 12 liters of petrol.

What is Division method?

Division method is used to distributing a group of things into equal parts.

Given that;

A Car travels 42 km on 7 liters of petrol.

Now,

Since, On 7 liters of petrol a car travel 42 km

Hence, On 1 liter of petrol distance cover by a car = 42 ÷ 7

                                                                             = 6 km

So, On 12 liters of petrol distance cover by a car = 6 × 12

                                                                           = 72 km

Thus, A car travels 72 km on 12 liters of petrol.

Learn more about the division visit:

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#SPJ2

Answer:

the answer is graph 1

Answer:

1. x = -5 and x = 1

2. x = 5 and x = -1

3. no integral solutions

4. no integral solutions

Step-by-step explanation:

Answer:

1, 4, and –5

Step-by-step explanation:

on edge

Answer & Step-by-step explanation:

When we see (f + g)(x), it means that we are going to be adding f(x) to g(x).

f(x) = 5x - 2

g(x) = 2x + 1

(f + g)(x) = (5x - 2) + (2x + 1)

Combine like terms.

(f + g)(x) = 7x - 1

So, (f + g)(x) equals 7x - 1

Answer:

3v/h = b

Step-by-step explanation:

1/3 is a given fraction and to get rid of it you must multiply by it's reciprocal of 3/1 or 3. You will also multiply the other side by 3

3 * v = (1/3 bh) * 3     --> 3v = bh

divde both sides by h and you get 3v over h = b

3v/h = b

Hope this helps!

Answer:  

3v/h = b

Step-by-step explanation:

v = 1/3bh

3v = bh

3v/h = b

Answer:

65p

Step-by-step explanation:

375 divided by 750=0.50

0.50+15=65p

Answer:

0.65

Step-by-step explanation:

750 / 375 = 0.50, and he wanted to sell them for 0.15 more than the original cost, so the answer is 0.65

Answer:

Step-by-step explanation:

Weren't there possible answer choices from which to choose?  If so, please share them.

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

If the divisor (2) and the dividend (7) were rounded to the nearest whole number (which would be 7), the estimated quotient would still be 3.5.

Answer:

7                             3 + 4

-- is equivalent to ---------- and has an estimated (and exact) quotient of 3.5.

2                                2

Step-by-step explanation:

Answer:

9a is equivalent to 11a - 2a because 11a-2a is 9a.

Step-by-step explanation:

Answer:

m=1/7x

Step-by-step explanation:

Answer:

[tex] slope= \frac{1}{7} [/tex]

Step-by-step explanation:

[tex](3 \: \: \: \: \: \: \: 2) = > (x1 \: \: \: \: \: \: \: x2)\\ (10 \: \: \: \: 3) = > (y1 \: \: \: \: \: \: \: y2)[/tex]

[tex]slope \\ = \frac{y1 - y2}{x1 - x2} \\ = \frac{2 - 3}{3 - 10} \\ = \frac{ - 1}{ - 7} \\ = \frac{1}{7} [/tex]

hope this helps

brainliest appreciated

good luck! have a nice day!

Answer:

4

p= √(y-qr)

Step-by-step explanation:

y=p² +qr

p= -5, q=3, r= -7

p²= y - qr

p= √(y-qr)

Answer:

   possible rational roots: ±1/2, ±1, ±5/2, ±5, ±25/2, ±25

   p(x) = (x +1)^2(2x -5)(x^2 -4x +5)

   complex roots: 2±i

   see the last attachment for a graph

Step-by-step explanation:

2. The leading coefficient of p(x) is 2, and the constant term is 25. The Rational Root Theorem tells you possible rational roots will be of the form ...

  ±(divisor of 25)/(divisor of 2)

That is, they are ...

  ±1/2, ±1, ±5/2, ±5, ±25/2, ±25

__

3. Before we get into synthetic division, we choose to see if we can reduce this list any. We note that p(0) = -25. The value of p(1) is the sum of the coefficients:

  p(1) = 2 -9 +6 +22 -20 -25 = 30 -54 = -24

Similarly, the value of p(-1) is the same sum with odd-degree coefficients negated:

  p(-1) = -2 -9 -6 +22 +20 -25 = 42 -42 = 0

So, we found our first root: -1. Using synthetic division, we can reduce the polynomial and start over. See the first attachment for this division.

__

The reduced polynomial is ...

  p1(x) = 2x^4 -11x^3 +17x^2 +5x -25

We already know that +1 is not a of it. Checking -1, we have ...

  p1(-1) = 2 +11 +17 -5 -25 = 0

So, we found our second root: -1. Using synthetic division, we can reduce the polynomial and start over. See the second attachment for this division.

__

The reduced polynomial is ...

  p2(x) = 2x^3 -13x^2 +30x -25

The alternating signs tell us there are no more negative real roots. They also tell us there are 1 or 3 positive real roots. We know p2(0) = -25. Then ...

  p2(1) = 2 -13 +30 -25 = 32 -38 = -6

The average rate of change between these points is (-6 -(-25))/(1 -0) = 19. At this rate, we expect a root between x=1 and x=2. Testing x=2 using synthetic division, we get a remainder of -1. (See the 3rd attachment.) Then the rate of change between x=1 and x=2 is (-1 -(-6))/(2-1) = 5, suggesting x=5/2 might be a worthwhile test value.

The synthetic division is shown in the 4th attachment. You will note that we divide the polynomial p2(x) by its leading coefficient, so the coefficients used for p2(x) in the synthetic division are 1, -13/2, 15, -25/2. The remainder of 0 tells us that (x -5/2) is a factor of p2(x)/2, or (2x -5) is a factor of p2(x).

__

The reduced polynomial is ...

  p3(x) = x^2 -4x +5

This can be written in vertex form as ...

  p3(x) = (x -2)^2 +1

The positive leading coefficient means the graph opens upward, and the vertex at (2, 1) means there are no real solutions.

The real solutions to p(x) are x = -1, -1, and 5/2.

__

4. The complex solutions will be the solutions to ...

  (x -2)^2 +1 = 0

  (x -2)^2 = -1

  x -2 = ±√(-1) = ±i

  x = 2 ±i . . . . complex roots of p(x)

__

5. The graph is shown in the last attachment. The odd degree and positive leading coefficient of p(x) means the overall shape will be from lower left to upper right (/). That is, the sign of the end value of p(x) will match the sign of x.

The graph will touch the x-axis from below at x = -1, and will cross at x = 2.5. There is no particular symmetry.

The final quadratic factor is graphed and its vertex shown. The vertex matches that of the vertex-form equation for p3(x), above.

Answer:

possible rational roots: ±1/2, ±1, ±5/2, ±5, ±25/2, ±25

real solutions to p(x) are x = -1, -1, and 5/2.

(x -2)^2 +1 = 0

(x -2)^2 = -1

x -2 = ±√(-1) = ±i

x = 2 ±i complex roots

Answer:

1

Step-by-step explanation:

The slope intercept form for this problem is y = x - 16

Answer:

50 percent

Step-by-step explanation:

Answer: there is a 50% chance

Step-by-step explanation:

there are three numbers less than four on a number cube. 3/6 is equivalent to 1/2

Answer:  A

Step-by-step explanation:

3/6= 0.5

4/9= 0.444

3/7= 0.428

3/10= 0.3

0.5 > 0.444....> 0.428 > 0.3

Answer: Answer is f(x) = 25x4 - 7x2 + x + 4

Step-by-step explanation:

Answer:

d on edg

Step-by-step explanation: