Given the following perfect square trinomial, fill in the missing term.

x2 − 16x + ____

Slope intercept form: y=3/4 - 3

slope:3/4

Y-intercept: -3

Because you subtract 4y from both sides to get it on the other side of the equation. You don’t want it to be 4y=3x-12 though so you would divide both sides by 4 which would give you y=3/4x-3. I hope this is right and it helps

Answer:

That 9 is divisible by 3.

Step-by-step explanation:

For this case we have the following statement:

"All odd numbers are divisible by 3"

The options given are the following:

a) 7 is odd but not divisible by 3, therefore it is a counterexample of the given statement

b) 9 is odd and is divisible by 3, therefore it is not counter-example

c) 8 is an even number, it is not a counter-example

d) 3 is odd and affirms the given statement.

Therefore, the correct answer is option A.

Answer:

Option A

The solution of the system of equations is (2, 3), the second option.

When we have a system of equations, one way of solving it is graphing both equations in the same coordinate axis and then finding the point where the graphs intercept.

Here we can see two lines, and the lines intercept at the point (2, 3), so we can say that the solution of the system is (2, 3), which is the second option.

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Answer:

9i(2+3i) = -27+18i

Step-by-step explanation:

Distribute to get → 9i·2+9i(3i)

Multiply 2 and 9 → 18i+9i(3i)

Simplify → 18i+27i²

Simplify → 18i-27

Reorder → -27+18i

Answer:  

There will be 213 songs in each group.

Step-by-step explanation:

Suppose, the number of songs in each group is  [tex]x[/tex]

As he has 4 different groups of songs, so the total number of songs in all 4 groups will be:  [tex](4*x)= 4x[/tex]

Given that, the mp3 player has a total of 852 songs. So, the equation will be........

[tex]4x=852\\ \\ x=\frac{852}{4}=213[/tex]

So, there will be 213 songs in each group.

Answer: c. ;]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]]

x² + y² = 9 is the equation of a circle with center (0, 0) and radius 3.

This puts the vertices at (-3, 0), (3, 0), (0, -3), and (0, 3).

When is the tangent line vertical? when it passes through the x-axis.

Answer: (-3, 0), (3, 0)

Answer:

We know that, the frequency table consists of the number of times the number is appearing.

Also, 'relative frequency is the percent of the total of the frequencies'.

So, the corresponding frequency table is given by,

Points Scored                     Frequency                   Relative Frequency (%)

1                                                 1                                            4.17

3                                                2                                           8.33

5                                                1                                            4.17       

6                                                1                                             4.17

7                                                2                                            8.33

8                                                1                                             4.17

9                                               2                                             8.33

10                                              6                                              25

11                                                1                                             4.17

12                                              2                                             8.33

13                                              2                                             8.33

14                                              2                                             8.33

As, the total of the frequency is 24. So, we get the relative frequency table above.

The relative frequencies of the given data are as follows:

Relative frequency is the proportion of the number of occurrences of a particular value to the total number of values.

The frequency of each value are:

The total number of values = 24

The relative frequency of each value are:

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Answer:  8

Step-by-step explanation:

x² - 2x  + ___ - 4y²  = 15 + ___

x² - 2x  + 1 - 4y²  = 15 + 1

(x - 1)² - 4(y)² = 16

[tex]\frac{(x-1)^{2}} {16} - \frac{4(y - 0)^{2}}{16} = \frac{16}{16}[/tex]

[tex]\frac{(x-1)^{2}} {16} - \frac{(y - 0)^{2}}{4} = 1[/tex]

[tex]r_{x} = 4[/tex]   [tex]r_{y} = 2[/tex]

width of rectangle is 2[tex](r_{x})[/tex] = 2(4) = 8

Answer:

4.28 $

Step-by-step explanation:

Given that a store sold 55 pairs of shoes for 85.60 each.

Sale proceeds = 55(85.60) = 428 dollars.

Later on 100 scafs were purchased.  For that the price was 428 dollars.

The proceeds of 428 dollars  were spent buying 100 scarves.

i.e. price of 100 scarves = 428 dollars

Hence price of 1 scarve = 428/100 = 4.28 $

Price of 1 scarve is 4.28 dollars is the answer

Answer:

48%

Step-by-step explanation:

Given that five friends are chipping in for a birthday gift for their teacher.

They were David, Jakob , Stephanie, Kate and Janice

Boys contributed 13 dollar each i.e. a total of 26

Girls contributed 8 each i.e. a total of 24

total contribution =50

Out of total contribution 50, girls total contrbution = 24

Hence percent = 24(100)/50 = 48%

Given rate is = 7% or 0.07

Total amount needed = $12000

Time = 4 years

Here, the  deposit is  compounded semiannually, means twice per year and this gives 8 annual compounding periods in 4 years.

The equation becomes:

P= [tex]\frac{12000}{(1+\frac{0.07}{2})^{2.4}}[/tex]

P = [tex]\frac{12000}{1.035^{8}}[/tex]

Solving it, we get P = $ 9112.93

Hence $9112.93 should be deposited today.

To accumulate $12,000 in four years in an account earning 7% compounded semiannually, approximately $8,289.64 should be deposited today.

To find out how much money should be deposited today in an account that earns 7% compounded semiannually to accumulate to $12,000 in four years, we can use the formula for calculating compound interest:

A = P(1 + r/n)^(nt)

Where A is the final amount, P is the principal (initial deposit), r is the annual interest rate, n is the number of times the interest is compounded per year, and t is the number of years.

Hence, approximately $8,289.64 should be deposited today in the account.

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so, the coefficient will 24, -3, and 7. The letters next to the coefficients are called "variable".

ANSWER

[tex]x=4[/tex]

EXPLANATION

We have[tex]6x-8=16[/tex]

We add 8 to both sides of the equation

[tex]6x-8+8=16+8[/tex]

We simplify

[tex]6x=24[/tex]

We divide both sides by 6

[tex]x=\frac{24}{6}[/tex]

[tex]x=4[/tex]

Yes, there was a mistake in applying the distributive property. If you have to perform

[tex] 3(2x-5) [/tex]

you have to multiply both terms in the parenthesis by 3, not just the first one.

So, the correct expansion would be

[tex] 3(2x-5) = 3\cdot 2x - 3 \cdot (-5) = 6x-15 [/tex]

Leeza made an error she did not multiply 3 into the bracket correctly. Therefore, the solution to an equation is 4.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

The given equation is 4x=7+3(2x-5).

The solution of an equation is the set of all values that, when substituted for unknowns, make an equation true.

Now, 4x=7+6x-15

4x=6x-8

4x-6x= -8

-2x=-8

x=4

Leeza made an error she did not multiply 3 into the bracket correctly. Therefore, the solution to an equation is 4.

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Answer:

Option B) 5    

Step-by-step explanation:

We are given the following information:

A scatter plot is given which shows the number of hats and scarves each knitter sold at a knitting show.

In the scatter plot the x-axis shows the number of hats sold and the y-axis shows the number of scarves sold.

We have to find the number of hats sold by the knitter when he sold 8 scarves.

In order to find this we have to find the x-values corresponding to the y-values of 8 scarves in the scatter plot.

Corresponding to 8 on y-axis we have a point that have a corresponding value of 5.

Hence, 5 hats were sold by the knitter when he sold 8 scarves.

Option B) 5 is the correct answer.

The scatter plot that shows the number of hats and scarves each knitter sold at a knitting show is Option B) 5    

To find the number of hats sold when 8 scarves were sold, you can look at the scatter plot and observe that there is a data point on the plot where the y-value (number of scarves) is 8, and the corresponding x-value (number of hats) is 5.

In the scatter plot the x-axis shows the number of hats sold and the y-axis shows the number of scarves sold. In order to find this we have to find the x-values corresponding to the y-values of 8 scarves in the scatter plot.

Hence, 5 hats were sold by the knitter when he sold 8 scarves.

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The previous year's salary is x.

This year's salary is x + 3000.

12% of this year's salary is $4200.

12% * (x + 3000) = 4200

0.12(x + 3000) = 4200

x + 3000 = 35,000

x = 32,000

Answer: Her salary in the previous year was $32,000.

The answer you are looking for is 1/3.

First, you must look at the denominators of each fraction, to see if you can simply divide straight across. In this case, you cannot, which means you must multiply by the reciprocal or "flipped" number. Generally when you multiply by the reciprocal, you flip the number with the smaller denominator to multiply.

So, you have 4/3 * 3/12. You then multiply straight across (4 * 3)/(3 * 12), to get an answer of 12/36, which simplified (divided by 3/3) gives you a final answer of 1/3.

I hope this helps!

The required model is attached in the image and the division of 3/4 by 3 /12 is 3.

Given that,
To draw the model to represent 3/4 divided by 3/12.

In mathematics, it deals with numbers of operations according to the statements.

Model hs been attached below for the given problem of division,
= 3 * 4 / 3 * 12
For a rectangle space, drawing 4 column and 12 raws,
Now for 3 / 4 3 of the 4 column to be filled by red, for 3 / 12 every 3 cells in the row have been filled by red.
Calculating number of cells in 3 / 4 = 36
calculating number of cells in 3 / 12 = 12
Now ratio of the cells = 36 / 12 = 3

Thus, the required model is attached in the image and the division of 3/4 by 3 /12 is 3.

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Point slope form says the line through (a,b) with slope m is

y - b = m(x - a)

Here that's

y - - 1 = -2(x - -4)

Answer: y + 1 = -2(x + 4)

Point-Slope equation: y - y₁ = m(x - x₁)  ; m is slope and (x₁ ,y₁) is the coordinate

y - (-1) = -2(x - (-4)

y + 1 = -2(x + 4)     simplified (two negatives make a positive)

Answer : (-∞,-1) U  (-1, 1)

We need to find  the interval(s) over which the function is increasing

We look at the intervals of x  where the graph is increasing

Increasing interval of the graph is the part where the graph goes up.

At first  the graph starts increasing and it increases till x=-1

So the first increasing interval is -infinity to -1 . We write it as (-∞,1)

Now, we look at the part where the graph changes direction

In the middle  inverted U shaped graph , the graph starts increasing at x=-1  and increases till it changes direction. The graph is increasing till x=1

so second increasing interval is x=-1  to 1. we write it as (-1,1)

Now combine both intervals by a 'U' union

(-∞,-1) U  (-1, 1)

The  interval(s) over which the function that is increasing is  (-∞,-1) U  (-1, 1)

From the question, One need to find  the interval(s) over which the function is increasing

Since intervals of x  where the graph is increasing Increasing interval of the graph is the part where the graph goes up.

At first  the graph starts increasing and it increases till x=-1, So the first increasing interval is -infinity to -1 . We write it as (-∞,1). So, one look at the part where the graph changes direction

In the middle  inverted U shaped graph , the graph starts increasing at x=-1  and increases till it changes direction. The graph is increasing till x=1

Since the  increasing interval is x=-1  to 1. one then need to write it as (-1,1)

So, The function is increasing for all values of x in the open interval from negative infinity to negative 1, excluding -1, and also in the open interval from -1 to 1, excluding both -1 and 1."

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The value of the expression 2d + 32 is 48 when d equals 8.

The student has provided an expression 2d + 32 and the value for d is given as 8. In order to evaluate the expression, we simply need to substitute the value of d into the expression.

Evaluating the expression:
2d + 32
= 2(8) + 32
= 16 + 32
= 48.

So, the value of the expression when d = 8 is 48.

Answer:

C) M + 0.12M

Step-by-step explanation:

A — calculates the raise, not the new fare

B — adds 12¢ to every fare

C — adds 12% of the current fare to the current fare. This is what you want.

D — adds $1 to the amount of the raise. This is not the amount of the new fare.

Answer: C) [tex]M+0.12M[/tex]

Step-by-step explanation:

Given : Matrix M shows the one-way fares for four commuter train routes.

If the rail service raised fares by 12% on all routes and days.

Then, the proportion of service raised fares on all routes and days. =0.12

Then, the new fares is given by :-

[tex]M+0.12M[/tex]

Hence, the formula shows how to find the matrix that would display the new fares = [tex]M+0.12M[/tex]

6 on the sq rt 5 - 4 on the sq rt 7

To simplify the given expression, substitute the values of each square root and simplify the expression to get the final result of 1.416.

To simplify the given expression:
3 times the square root of 5 - 2 times the square root of 7 + the square root of 45 - the square root of 28

We can simplify each square root separately:

√5 = 2.236 (approx.)

√7 = 2.646 (approx.)

√45 = 6.708 (approx.)

√28 = 5.292 (approx.)

Substituting these values in the expression:

3(2.236) - 2(2.646) + 6.708 - 5.292

This simplifies to:
6.708 - 5.292 = 1.416

Therefore, the simplified expression is 1.416.

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Using FOIL (First, Outer, Inner, Last):

(x+3)(x-4)

FIRST: multiply x times x to get x^2.

OUTER: multiply x times -4 to get -4x.

INNER: multiply 3 times x to get 3x.

LAST: multiply 3 times -4 to get -12.

Your expression now looks like:

x^2-4x+3x-12

Combine like terms.

x^2-x-12

The answer is D. x^2-x-12.

I hope this helps :)