Last year, Jeffrey grew 5/8 of an inch and his brother grew 1/2 of an inch. How much more
did Jeffrey grow than his brother?
Simplify your answer and write it as a fraction or as a whole or mixed number.

Answer:

a)(2x+1)² - 3

4x² + 4x + 1 - 3

4x² + 4x - 2

4(-2)² + 4(-2) - 2

16 - 8 - 2

6 (final answer)

b) 4(3)² + 4(3) - 2

36 + 12 - 2

46 ( final answer)

c) 2(x²-3) + 1

2x² - 6 + 1

2(3)² - 5

18 - 5

13(final answer)

Answer:

1

Step-by-step explanation:

Take 4 1/2 and turn it into just halves by multiplying 4•2 and then adding it to one. 9/2 then multiply that by 2 because you need the denominator to be 4 getting 18/4. Then subtract 11/4 you end up getting 9/4. So technically you have 2 pieces but if you want them both to be 11/4 you only have one

How do you round to the ones place?

Look to the next smallest place value, the digit to the right of the place value you're rounding to. For example, if you want to round to the nearest ten you'd look at the ones place. If the digit in the next smallest place value is less than five (0, 1, 2, 3, or 4), you leave the digit you want to round to as-is.

Answer:

Step-by-step explanation:

do u mean round to the nearest 10th as in one decimal place or to the nearest  one not decimal place?

Answer:

56 if rounding but 56.50 if not

Step-by-step explanation:

rate

Answer:

A.

Step-by-step explanation:

If the results are similar (A) should be your answer!

Option A is correct.

Generalization is a process which leads to something more general and whose product consequently refers refers to an actual or potential manifold  in a certain way.

According to the given question

"At the end of the first day, the store found that twice as many shoppers select an apple"

So, the generalization can be made from the above result is " from the given choice of a banana or an apple, twice as many shoppers will select an apple".

Hence, option A is correct.

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Answer:

10

Step-by-step explanation:

-5 * -2 = 10

cuz - * - = +

and 5 * 2 = 10

hence 10

Answer:

-7

Step-by-step explanation:

-5(-2)

-5-2

-7

..........

Answer:

1. Slope = -2 , y-intercept = 1

2. Slope = 5 , y-intercept = -15

3. Slope = 1.5 , y-intercept = -2

4. Slope = -3 , y-intercept = 9

Step-by-step explanation:

1. The slope is -2 because using the formula y₁-y₂÷x₁-x₂ you can use the points given to you to get -2. It doesn't matter which one you pick as y1 or y2, just make sure you keep it consistent with the x numberings. I did 1--3 (which becomes 1+3) and 0-2. Those equal 4/-2 which gives you -2. Use these same steps for all of them, but with ones that don't have the points given, just pick two that are whole numbers and not decimals. For finding the y-intercept, just find the point that is on the y axis line. It is given on number one as (0,1). So, the y-intercept is 1. Hope this helps!

Answer:

Step-by-step explanation:

Probability of an event to occur (P) = [tex]\frac{\text{Favorable event}}{\text{Total outcomes}}[/tex]

1). Probability of getting the red crewmate,

   [tex]P_1=\frac{3}{6}=\frac{1}{2}[/tex]

   Probability of getting a chef hat,

   [tex]P_2[/tex] = [tex]\frac{1}{8}[/tex]

  Probability of getting the red crewmate and the chef hat = [tex]P_1\times P_2[/tex]

   = [tex]\frac{1}{2}\times \frac{1}{8}[/tex]

   = [tex]\frac{1}{16}[/tex]

2). Probability of getting blue crewmate,

     [tex]P_1=\frac{2}{6}[/tex]

          [tex]=\frac{1}{3}[/tex]

   Probability of getting an egg hat,

    [tex]P_2=\frac{2}{8}=\frac{1}{4}[/tex]

   Probability to get the blue crewmate and an egg hat = [tex]P_1\times P_2[/tex]

    = [tex]\frac{1}{3}\times \frac{1}{4}[/tex]

    = [tex]\frac{1}{12}[/tex]

3). Probability of getting a green crewmate = [tex]\frac{1}{6}[/tex]

    Probability of getting a banana hat = [tex]\frac{3}{8}[/tex]

    Probability of getting a green crewmate and banana hat

    = [tex]\frac{1}{6}\times \frac{3}{8}[/tex]

    = [tex]\frac{1}{16}[/tex]      

Ans

b-18 s-42

Step-by-step explanation:

Answer: -3 + 4*x^2 = - 3 + (2*x)^2

Any value of x is a solution for this eqution.

Step-by-step explanation:

She ended with -3 = -3

This is trivial, if we had an equation with one variable, something like:

f(x) = equation.

Ending with something like -3 = -3 means that we do not have any restriction with respect to x, so x could take any value.

This will happen if the terms with x in the left side are exactly the same as the terms in the right side, for exampe:

-3 + 4*x^2 = -3 + 4*x^2

In that case, we can substrrat 4*x^2 in both sides, and we will end with:

-3 = -3

This means that the solution for this equation is any value of x.

We also could rewrite this as:

-3 + 4*x^2 = - 3 + (2*x)^2

So the terms look different, but the terms are exactly the same for any value of x.

Answer:

its a).4

Step-by-step explanation: 60 divided by 15= 4 you can use a calculator to check if im right if you dont trust me

The answer would be 4 if the number expression is 60 ÷ 15 after using the arithmetic operation, option (A) 4 is correct.

It is defined as the operation in which we do the addition of numbers, subtraction, multiplication, and division. It has basic four operators that is +, -, ×, and ÷.

It is given that:

The number expression is:

60 ÷ 15

Using model:

= (15 + 15 + 15 + 15) ÷ 15

= 1 + 1  + 1 + 1

= 4

Thus, the answer would be 4 if the number expression is 60 ÷ 15 after using the arithmetic operation, option (A) 4 is correct.

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Step-by-step explanation:

The given equations are :

2x+ y =5 ....(1)

5x+3y = 12

We need to find the matrix equation that represents the system of equations.

[tex][A]=\left[\begin{array}{cc}2&1&\\5&3\end{array}\right][/tex]

[tex][B]=\left[\begin{array}{cc}5\\12\end{array}\right][/tex]

And

[tex][X]=\left[\begin{array}{cc}x\\y\end{array}\right][/tex]

Hence, the matrix equation is :

[tex]\left[\begin{array}{cc}2&1&\\5&3\end{array}\right] \left[\begin{array}{cc}x\\y\end{array}\right]=\left[\begin{array}{cc}5\\12\end{array}\right][/tex]

Hence, the correct option is (b).

Answer:

True

Step-by-step explanation:

Set up the problem in slope intercept i.e y = mx + b. Add 4x to both sides to create y = 4x -2.  Any number or fraction in the m part is the slope. So the slope is 4.

True, the slope of the line y - 4x = -2 is 4.

The equation of a line in slope-intercept form with slope m is,

y = mx + c

Where 'c' is the y-intercept of the line.

Given that,

The equation of a line is,

y - 4x = - 2

Now it can be written in a slope-intercept form as,

y - 4x = - 2

Add 4x on both sides,

y - 4x + 4x = - 2 + 4x

y = 4x - 2

By comparing with slope - intercept of the equation,

Slope (m) = 4

Therefore, the statement is true.

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Answer:

the answer should be 7

Step-by-step explanation:

Answer:

C. 498

Step-by-step explanation:

Total number of words typed by both Mark and Carol is 498.

Rate of typing by Mark = 20 word per minute

Rate of typing by Carol = 22 words per minute

Since, Mark starts typing at 1:00 pm  and stop at 1:15 pm.

So, time taken by Mark is 15 minute.

number of words typed by  Mark = [tex]20*15=300[/tex]

Since, Carol starts typing 6 min late , i.e.  at 1:06 pm  and stop at 1:15 pm.

So, time taken by Carol is 9 minute.

number of words typed by  Carol =[tex]22*9=198[/tex]

Total number of words typed by both Mark and Carol = [tex]300+198=498[/tex] words.

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Answer:

D. He distributed -5 incorrectly.

Step-by-step explanation:

Last option is the correct answer.

Answer:

Parker: D. He distributed -5 incorrectly.

Step-by-step explanation:

Answer:

the largest factor of 35 is 35 and the smallest prime number is 2 so 35 times two is 70

Step-by-step explanation:

Answer:

P(-11 , 14)

Step-by-step explanation:

Explanation:-

Given points A(-6, 9), B(2, 1); Ratio 5 : 3

The Point P divides the directed line segment from A to B in the given ratio Externally

       5 : 3

A( -6,9)    B(2,1)

we will use formula



                            =   [tex](\frac{5(1)-3(9) }{5-3} ,\frac{5(2) -3(-6)}{5-3})[/tex]

                           =  [tex](\frac{5-27}{2} , \frac{10+18}{2} ) = (-11 , 14)[/tex]

The point P( -11 ,14) divides the directed line segment from A to B in the given ratio Externally



Answer:

answer is attached in the figure below hope it helps please mark it as brainlist

Answer:

14

Step-by-step explanation:

-3-2 is a slope and you add numbers

Answer:

The first set of ordered pairs is not a function.

Step-by-step explanation:

The X value of 7 repeats, which means that it is not a function

Answer:

x = 1.25

y = 1.75

Step-by-step explanation:

Since, the line that is 8 units long is parallel to the line that is ten units long.

Therefore, both the triangles are similar by AA postulate.

Corresponding sides of of the similar triangles are in proportion.

Therefore,

[tex] \frac{5}{x + 5} = \frac{7}{y + 7} = \frac{8}{10} \\ \\ \implies \frac{5}{x + 5} = \frac{8}{10} \\ \\ 5 \times 10 = 8(x + 5) \\ \\ 50 = 8x + 40 \\ \\ 50 - 40 = 8x \\ \\ 10 = 8x \\ \\ \frac{10}{8} = x \\ \\ x = 1.25 \\ \\ \\ \frac{7}{y + 7} = \frac{8}{10} \\ \\ 7 \times 10 = 8(y + 7) \\ \\ 70 = 8y + 56 \\ \\ 70 - 56 = 8y \\ \\ 14 = 8y \\ \\ \frac{14}{8} = y \\ \\ y = 1.75[/tex]

Given:

In ABCD, AB=BC, AD=CD.

To find:

The additional information that can be included in the figure showing kite ABCD with  diagonals AC and BD.

Solution:

We know that, a quadrilateral is a kite if,

1. Two pairs of congruent sides which are adjacent to each other.

2. One diagonal is perpendicular bisector of other.

From the given information, we have two pairs of consecutive congruent sides AB=BC and AD=CD.

ABCD is a kite if it holds the second property, i.e., one diagonal is perpendicular bisector of other.

So, the required additional information is "segment BD is perpendicular bisector of segment AC".

Therefore, the correct option is B.

Answer:

B

Step-by-step explanation:

BD is a perpendicular bisector of AC

Answer:

3 and 1/2 units

Answer:

3 and 1/2 units

Step-by-step explanation:

hope this helps you lol

E

Answer:

39 degrees

Step-by-step explanation:

27 + |-12| = 39 to change from -12 to 27 you have to add the distance they are away from each other on a number line by adding the absolute value of -12 to 27 to find their distance

Answer:

b=2

Step-by-step explanation:

my uh head

but like u add 9/3 to -1 and get 2 so ya

hope this helps a bit <33

Answer:

43

Step-by-step explanation:

The range of the data is 14.

A boxplot is defined as a common method for visualizing data distribution based on a five-number summary. (minimum, first quartile (Q1), median, third quartile (Q3), and maximum).

Given that,

The box-and-whisker plot shows the number of books read by history students during the last school year.

The box extends from 4 to 15 on the number line.

There is a vertical line at 8, median = 8.

The whiskers end at 4 and 15,

So, minimum of data = 4 and maximum of data = 15.

∵ Range = maximum of data - minimum of data

Range = 15 - 4

Range = 11

Hence, the range of the data is 14.

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Answer: My guess is hes incorrect,  its 500 because we know 5 tens is 50 and if we make it ten times 50 it is 500

Answer:

No he’s not correct

Step-by-step explanation:

So he says that 10 times 5 tens is 5 thousands. 5 tens is 50. So if you do 10 times 50 it’s only 500 not 5 thousand. At least this is what I think you mean

Answer:

x = 10

Step-by-step explanation:

Since, ray BD bisects ∠ABC,

Therefore, m∠ABD = m∠CBD

By substituting the values of the angles,

x° = (4x - 30)°

x - 4x = -30

-3x = -30

x = 10

Therefore, x = 10 will be the answer.