Brian is solving the equation x squared minus three-fourths x = 5. What value must be added to both sides of the equation to make the left side a perfect-square trinomial?

Answer:

-4<n≤5

If you are using another variable just replace it in.

The information in the number line is an interval (-4,5]

Interval Notation is a way of expressing a subset of real numbers by the numbers that bound them. We can use this notation to represent inequalities. We know an interval expressed as 1 < x < 5 denotes a set of numbers lying between 1 and 5 and it is represented as (1,5)

Given here, the line extends to -4 and ends at 5 but the it is open on the LHS and closed on the RHS and thus the interval notation is (-4,5]

Hence the interval represented in the number line is  (-4,5]

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Answer:

The number of ways she can choose four albums for display with at least two from Diana Kroll is from the sixteen albums is 665 ways

Step-by-step explanation:

1) The number of ways she can choose 2 albums of Diana from the 5 Diana Kroll  albums is 5!/(2!(5 - 2)!) = 10 ways

Choosing the other 2 albums from the remaining 11 albums gives;

11!/(2!(11 - 2)!) = 55 ways

Total number of ways is then 10 × 55 = 550 ways

Choosing 3 from the 5 Diana Kroll  albums is 5!/(3!(5 - 3)!) = 10 ways

Choosing the other 1 album from the remaining 11 albums gives;

11!/(1!(11 - 1)!) = 11 ways

Total number of ways is then 10 × 11 = 110 ways

Choosing 4 from the 5 Diana Kroll  albums is 5!/(4!(5 - 4)!) = 5 ways

Choosing the other 0 album from the remaining 11 albums gives;

11!/(0!(11 - 0)!) = 1 way

Total number of ways is then 5 × 1 = 5 ways

Total number of ways = 550 + 110 + 5 = 665 ways

2) In the indirect method, we first find the number of ways to choose 4 albums out of the 16 albums, then we subtract the number of cases where there are  1 and 0 Diana Kroll albums as follows;

16!/(4!(16 - 4)!) = 1820 ways

With 1 Diana Kroll album gives

5!/(1!(5 - 1)!)×11!(3!(11 - 3)!) = 825 ways

With 0 Diana Kroll album gives

5!/(0!(5 - 0)!)×11!(4!(11 - 4)!) = 330 ways

Total number of ways with at least 2 Diana Kroll albums = 1820 - 825 - 330

Total number of ways with at least 2 Diana Kroll albums = 665 ways.

Answer:

[tex]3^{0} =1[/tex]

Step-by-step explanation:

Answer:

[tex]x=\frac{139}{27}[/tex]

Step-by-step explanation:

-23(x+12)+23x=-54x+2

-23x-276+26x=-54+2

-276=-54x+2

54x=2+276

54x=278

[tex]x=\frac{139}{27}[/tex]

Answer:

Use mathaway <3

Step-by-step explanation:

Answer:

ned more info

Step-by-step explanation:

The correct option that shows the population of the research carried out by Matthew is Option D; all the students attending the college.

Mean is nothing but the average of the given set of values. It denotes the equal distribution of values for a given data set.

We are told that Matthew wants to estimate the mean height of students attending his college.

Now, let us say the total number of students in his college is x.

If he decides to select 100 students randomly to record their height, it means this 100 student is a sample out of the total number of students which is x that is the population.

In conclusion, we can say that the population of this research by Matthew is the total number of students that attend the college.

Hence, The correct option that shows the population of the research carried out by Matthew is Option D; all the students attending the college.

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Answer:

2 cm.

Step-by-step explanation:

The entire base is 10 cm and the top is 8 cm, so b is 10 - 8 = 2 cm.

Hope this helps!

I hope this helps you

b+8=10

b=2

Answer:

b = 0

Step-by-step explanation:

To find the value of b, we will follow the steps below;

Using the distance formula:

D = √(x₂-x₁)² + (y₂-y₁)²

from the question given,

A (-3, b), this implies

(-3, b) = (x₁ ,y₁)

x₁=-3   and y₁ = b

similarly

B (1, 3)

(1, 3) = (x₂,y₂)

this implies

x₂ = 1    and  y₂=3

D= 5

we can now proceed to insert the values into the formula and then solve for b

D = √(x₂-x₁)² + (y₂-y₁)²

5 = √(1+3)² + (3-b)²

5 = √4² + (3-b)²

5=√16 + (3-b)²

take the squares of both-side of the equation

5² = 16 + (3-b)²

25 = 16 + (3-b)²

subtract 16 from both-side of the equation

25 - 16 = (3-b)²

9 = (3-b)²

Take the square root of both-side

√9 = 3-b

3 = 3-b

add b to both-side of the equation

3 + b = 3 - b+ b

3 + b = 3

subtract 3 from both-side of the equation

3+b-3 = 3-3

b = 0

Therefore, the value of b is 0

Answer:

-721 is greater than -723.

Step-by-step explanation:

Answer:

x < - 721

Step-by-step explanation:

x < - 721 is the one according to the pictured line

Answer:

Step-by-step explanation:

To get from ABC to A'B'C', ABC is reflected across line m.

To get from ABC to A"B"C", ABC need to first be reflected across line m. Then, it needs to be rotated 90° clockwise to get to A"B"C".

I'm not exactly sure which one you were trying to get (so I just added both), because you said A'B'C",  instead of A'B'C' or A"B"C", but I really hope this answers your question!

The rule which describes the composition of transformations that maps ABC to A'B'C' is,

⇒ reflect across the line m.

We have to given that,

To find the rule which describes the composition of transformations that maps ABC to A'B'C'.

Here, The triangle ABC and it's image A'B'C' is shown in image.

Clearly, Image of triangle ABC is reflect across the line m.

Thus, the rule which describes the composition of transformations that maps ABC to A'B'C' is,

⇒ reflect across the line m.

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Answer:

The measure of angle XYZ will be 120° because the included arc of an inscribed angle will always be twice the measure of the inscribed angle

Answer:wrong. Its 249 degrees

Step-by-step explanation:

Just got it right on the quiz

Answer:

(7, 8)

Step-by-step explanation:

Midpoint Formula: [tex](\frac{x1+x2}{2}, \frac{y1+y2}{2})[/tex]

Simply set our midpoint and given point equal into a formula to find the other endpoint:

4 = (1 + x)/2

8 = 1 + x

x = 7

6 = (4 + y)/2

12 = 4 + y

y = 8

Answer:

%P = 8%

the percentage of fat in the mixture is 8%

Step-by-step explanation:

Given;

The percentage of fat in the mixture is;

%P = total mass of fat in mixture/total mass of mixture × 100%

%P = F/T × 100% ….....1

Mass of fat in mixture is;

She purchases 5 pounds of ground beef which is 15% fat

F1 = 15% of 5 pounds = 0.15×5 pounds

F1 = 0.75 pound

and combines it with 7 pounds of ground turkey which is only 3% fat

F2 = 3% of 7 pounds = 0.03 × 7

F2 = 0.21 pound

Total mass F = F1 + F2

F = 0.75+0.21

F = 0.96 pound

Total mass of mixture T = 5 + 7 pounds

T = 12 pounds.

From equation 1,

%P = F/T × 100%

%P = 0.96/12 × 100%

%P = 0.08×100%

%P = 8%

the percentage of fat in the mixture is 8%

Answer:

Step-by-step explanation:

3/4 t = 2/3

Multiply both sides of the equation by 4/3

4/3 * 3/4 t = 4/3 * 2/3

Reduce the numbers with G.C.F 4

1/3 * 3t = 4/3 * 2/3

Reduce the numbers with G.C.F 3

t = 4/3 * 2/3

Multiply the fractions

t = 8/9

Hope this helps...

Good luck on your assignment...

Answer:

[tex]t= \frac{8}{9} \\ [/tex]

Step-by-step explanation:

[tex]3/4t=2/3 \\ \frac{3}{4} t = \frac{2}{3} \\ cross - multiply \\ 3t \times 3 = 4 \times 2[/tex]

[tex]9t = 8 \\ divide \: both \: sides \\ of \: the \: equation \: by \: 9 \\ \frac{9t}{9} = \frac{8}{9} [/tex]

[tex]t = \frac{8}{9} [/tex]

Answer:

Tn = Tn-1 + 2(n-1) + 5

Kindly note that Tn-1 means T subscript n-1

Step-by-step explanation:

Here, we want an expression for the nth term.

First term is 7

Then first common difference is 7

second common difference is 7 + 2

Third common difference is 9 + 2

So within the common differences, the nth term is 7 + (n-1) 2

Now, the nth term of the series would be;

Tn = Tn-1 + 7 + 2(n-1)

Tn = Tn-1 + 7 + 2n -2

Tn = Tn-1 + 2n + 5

Now there is a fix to this,

n for the term is not the same n for the common difference.

the 7th term works with the 6th common. difference, while the 8th term work for the 7th common difference.

So we might need to rewrite the final expression as follows;

Tn = Tn-1 + 2(n-1) + 5

Answer:

[tex]\boxed{\sf \ \ \ 3x^2-20x+37\ \ \ }[/tex]

Step-by-step explanation:

Hello,

a and b are the zeros, we can say that

[tex]f(x)=3(x^2-\dfrac{4}{3}x+\dfrac{5}{3}) = 3(x-a)(x-b)=3(x-(a+b)x+ab)[/tex]

So we can say that

[tex]a+b=\dfrac{4}{3}\\ab=\dfrac{5}{3}[/tex]

Now, we are looking for a polynomial where zeros are 2a+3b and 3a+2b

for instance we can write

[tex](x-2a-3b)(x-3a-2b)=x^2-(2a+3b+3a+2b)x+(2a+3b)(3a+2b)\\= x^2-5(a+b)x+6a^2+6b^2+9ab+4ab[/tex]

and we can notice that

[tex]a^2+b^2=(a+b)^2-2ab[/tex] so

[tex](x-2a-3b)(x-3a-2b)=x^2-5(a+b)x+6[(a+b)2-2ab]+13ab\\= x^2-5(a+b)x+6(a+b)^2+ab[/tex]

it comes

[tex]x^2-5*\dfrac{4}{3}x+6(\dfrac{4}{3})^2+\dfrac{5}{3}[/tex]

multiply by 3

[tex]3x^2-20x+2*16+5=3x^2-20x+37[/tex]

Answer:

1.  A. No

2. A. Yes

Step-by-step explanation:

1. B.   Because the numbers to the left of 7 are smaller than the numbers to the right of 7 on the number line.

2. B. Because to the right side has more numbers than the left side so amber is correct

Answer:

C. X = -2

E. X = 2

Step-by-step explanation:

16(-4)² = 64

16(16) = 64

256 = 64 (false)

16(4)² = 64

16(16) = 64

256 = 64 (false)

16(-2)² = 64

16(4) = 64

64 = 64 (true)

16(-8)² = 64

16(64) = 64

1024 = 64 (false)

16(2)² = 64

16(4) = 64

64 = 64 (true)

16(-64)² = 64

16(4096) = 64

65356 = 64 (false)

Answer: 3

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Correct if wrong

Answer:

answer is 1

Step-by-step explanation:

The scale factor of triangle ABC to triangle DEF is 1. Therefore, the correct answer is option D.

In the given triangle ABC, AB=5 units, BC=5 units and AC=5 units and in triangle DEF, DE=5 units, DF=5 units and EF=5 units.

The basic formula to find the scale factor of a figure is expressed as,

Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.

So, the scale factor of ABC to DEF is

AB/DE = BC/EF = AC/DF = 5/5 = 1

Therefore, the correct answer is option D.

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[tex]

5-6x=8x+17 \\

-14x=12\implies x=-\frac{6}{7}

[/tex]

Hope this helps.

Answer: -6/7

Step-by-step explanation: 5 - 6x = 8x + 17

                                             5 + - 6x = 8x + 17

                                            -6x + 5 = 8x + 17

                                            -6x + 5 - 8x = 8x + 17 - 8x

                                            -14x + 5 = 17

                                            -14x + 5 - 5 = 17 - 5

                                           -14x = 12

                                            -14x/-14 = 12/-14

                                             x = -6/7

Answer:

17.3

Step-by-step explanation:

The following data were obtained from the question:

Angle T = 87°

Side T = t

Side V = 14

Side U = 11

The value of t can be obtained by using cosine rule as show below:

t² = u² + v² – 2uv cosT

t² = 11² + 14² – 2×11×14 cos 87°

t² = 121 + 196 – 308 × Cos 87°

t² = 300.88

Take the square root of both side

t = √300.88

t = 17.3

Therefore, the value of t is 17.3

Answer:

2,5 and 6

Step-by-step explanation:

The answer is going to be option 2, 5 and 6 because the line touches -4,2 and 4 on the x axis. And these are the x values so that's why this is going to be the answer.

Hope this information helps you!

x=-2, x=-4, x=2 and x=4  values are within the domain of the function

A relation is a function if it has only One y-value for each x-value.

The domain of a function is the set of all possible inputs for the function.

If a function f provides a way to successfully produce a single value y using for that purpose a value for x then that chosen x-value is said to belong to the domain of f.

x=2, x=4, x=5, x=-2, x=-4 are the values in domain

Hence, x=-2, x=-4, x=2 and x=4  values are within the domain of the function

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Answer:

She bought 3 pounds of apples.

Step-by-step explanation:

First we look at our given steps:

1 pound of apples=$1.79

total=$5.37

We need to divide her total by the cost per pounds of apples. So 5.37/1.79=3.

The number of pounds Anita purchased is 3.

Given: $1.79 per pound, spent $5.37 on apples

We must divide her aggregate by the cost per pound of apples.

Number of pounds = Total Spent / Amount per pound

Number of pounds = 5.37/1.79

Number of pounds = 3.

The number of pounds Anita purchased is 3.

Therefore, the number of pounds is 3.

The completed question is,

Anita purchased apples priced at $1.79 per pound at the grocery store. Her receipt shows that she spent $5.37 on apples. Type the correct answer in the box.

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Answer:

0.7

if you multiply 0.7 with 0.7 you get 0.49 so 0.7 is the square root

Hope this helps

Step-by-step explanation:

Answer:

0.7

Step-by-step explanation:

0.49 = 49/100

√(49/100)

√49/√100

7/10

= 0.7

Answer:

  cosine

Step-by-step explanation:

"Cos" is the abbreviation usually applied to the name of the cosine function. That function gives the x-coordinate of the point on a unit circle that is at some angle measured counterclockwise from the x-axis. A unit circle is a circle with a radius of 1 unit, centered at the origin.

Answer:

The answer is B.

Step-by-step explanation:

A true proportion is a set of ratios that equal each other.

For example, 1:2=2:4 is a proportion.

As we look through the list, we observe only B equals each other. Imagine 3:4 and 9:12 as a fraction. (¾ and 9/12). If we reduce 9/12, we get ¾. Thus, 3:4 = 9:12:)

I hope this helps!

Answer:

Step-by-step explanation:

8c2×6c2=((8×7)/2)×((6×5)/2)=28×15=420