Form the perfect square trinomial in the process of completing the square. What is the value of c?

x2 + 3x + c = StartFraction 7 Over 4 EndFraction + c

Answer:

A= (1, -6)

B=(3, -1)

C=(7, -3)

Step-by-step explanation:

Answer:

log 12 = 1.0761

Step-by-step explanation:

log 12

=log(3*2*2)

= log 3 +log 2+ log 2

=0.4771+0.3010+0.3010

=1.0761

Answer:

Log 12 = 1.0791

Step-by-step explanation:

=> log (12)

Prime Factorizing 12

=> log (2×2×3)

Using log rule : \(log (a*b) = log a+logb\)

=> Log 2 + log 2 + log 3

Given that log 2 = 0.3010 , log 3 = 0.4771

=> 0.3010 + 0.3010 + 0.4771

=> 1.0791

Answer:

O. -1

Step-by-step explanation:

    We can look at the graph given to see the value of -3.

When h(x) = -3, it means that the y value is equal to -3. We see that, on the graph, when y = -3, x = -1.

Answer:

1.48 m

Step-by-step explanation:

mean is calculated as

mean = \(\frac{sum}{count}\)

Then the sum for the 14 boys is

\(\frac{sum}{14}\) = 1.56 ( multiply both sides by 14 )

sum = 21.84 m

The sum for the class of 32 is

\(\frac{sum}{32}\) = 1.515 ( multiply both sides by 32 )

sum = 48.48 m

Thus the sum for the 18 girls is

sum = 48.48 - 21.84 = 26.64 m

Then mean height of girls is

mean = \(\frac{26.64}{18}\) = 1.48 m

The correct option is C. Tammy initially had $4 pay when the graph shows the number of hours Tammy spends typing for work, x, and the amount of income she earns, y.

The y-intercept represents "How much Tammy is getting paid for each hour she works".

Assuming that the graph displays Tammy's earnings, y, and the number of hours she spends typing for a living, x. The number of hours worked is shown on the x-axis, and the pay in dollars is shown on the y-axis in a graph titled Tammy's Pay.

We can find what the y-intercept represents.

The line on the graph displays the ratio of how much she is paid for each hour of labour if y is the amount she is paid.

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Answer:

24th floor

Step-by-step explanation:

To get the number of the floor you were originally on, you add the number of floors you went down to the current floor you are on so 16 + 8 = 24

Answer:

24

Step-by-step explanation:

x-8=16

16+8=24

To calculate the cash balance at the end of the period, we need to consider the cash inflows and outflows.

Starting cash balance: $4,520

Cash inflows: $1,654 (receivables collected)

Cash outflows: $1,961 (payments to suppliers) + $500 (cash expenses)

Total cash inflows: $1,654

Total cash outflows: $1,961 + $500 = $2,461

To calculate the cash balance at the end of the period, we subtract the total cash outflows from the starting cash balance and add the total cash inflows:

Cash balance at the end of the period = Starting cash balance + Total cash inflows - Total cash outflows

Cash balance at the end of the period = $4,520 + $1,654 - $2,461

Cash balance at the end of the period = $4,520 - $807

Cash balance at the end of the period = $3,713

Therefore, the cash balance at the end of the period is $3,713.

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The expressions are expanded to give;

1. 2x² - 5x

2. 6x² + 8x

3. 6x² - 12xy

Algebraic expressions are defined as expressions consisting of  variables, coefficients, constants, terms and factors.

These expressions are also known to consist of mathematical operations, which includes;

From the information given, we have that;

a. x (2x - 5)

expand the bracket

2x² - 5x

b. 2x (3x+4)

expand the bracket

6x² + 8x

c. 6x(x-2y)

expand the bracket

6x² - 12xy

Hence, the expressions are 2x² - 5x, 6x² + 8x and 6x² - 12xy

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Answer:

1) 2x² - 5x

2) 6x² + 8x

3) 6x² - 12xy

Step-by-step explanation:

1) x ( 2x - 5 )

To expand the above, multiply both terms inside the brackets by x.

2x² - 5x

2) 2x ( 3x + 4 )

To expand the above, multiply both terms inside the brackets by 2x.

6x² + 8x

3) 6x ( x - 2y )

To expand the above, multiply both terms inside the brackets by 6x.

6x² - 12xy

Answer:

x = -19

Step-by-step explanation:

For this problem, we simply need to get rid of the fractions so we can easily solve for x.

To get rid of these fractions, we will multiply the whole equation by the LCD which is 2 * 3 = 6.

( x / 2) - ( 1 / 2) = ( 2x / 3) + ( 8 / 3 )

6 * ( x / 2) - 6 * ( 1 / 2) = 6 * (2x / 3) + 6 * ( 8 / 3 )

3x - 3 = 4x + 16

3x - 3x - 3 - 16 = 4x - 3x + 16 - 16

0x - 19 = x + 0

x = - 19

Thus, for the equation to be true, x must be equal to negative 19.

Cheers.

Answer:

Answer= -19

Step-by-step explanation:

x/2 - 1/2 = 2x/3 + 8/3

x-1 / 2 = 2x+8 / 3

(x - 1) × 3 = (2x + 8) × 2

3x - 3 = 4x + 16

3x - 4x = 16 + 3

-x = 19

x = -19.

Thus, the value of x will be -19.

Hope it helps.

Mark it as Brainliest.

This can be calculated by multiplying the number of tickets sold by their respective prices: 200 x $35 = $7,000 and 50 x $40 = $2,375.

The local theater fundraiser sold 200 pre-event tickets at $35 each and 50 at-the-door tickets at $40 each to generate a total revenue of $9,375. This can be calculated by multiplying the number of tickets sold by their respective prices: 200 x $35 = $7,000 and 50 x $40 = $2,375.

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Answer:

fourty-seven.......

Step-by-step explanation:

trust me

As a result, we can claim with 95% certainty that the genuine proportion of students who would approve an increase in parking places is between 0.591 and 0.809.

A confidence interval is a statistical range of values that, with a particular level of certainty, contains the real value of a population parameter. A 95% confidence interval indicates that if we repeated this process several times, creating confidence intervals for the same population parameter with different samples, about 95% of those intervals would include the genuine population parameter. The researcher or analyst usually chooses the degree of confidence, with 95% being a frequent choice.

Here,

CI =p ± z* (√(p(1-p)/n))

p = 63/90 = 0.7

n = 90

z* = 1.96

CI = 0.7 ± 1.96 * (√(0.7(1-0.7)/90))

Simplifying this expression, we get:

CI = 0.7 ± 0.109

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Answer:

75%

Step-by-step explanation:

9 divided by 12 = 0.75

- 75%

Answer: Yes, is the same ratio.

Explanation:

For the girls we have that out of the 30 that tried out for the team, 12 were selected. The ratio for the girls is:

(we simplify 12/30 by dividing the numerator and denominator by 6)

For the boys we have that out of the 40 that tried out for the team, 16 were selected. The ratio for the boys is:

(we simplify 16/40 by dividing the numerator and denominator by 8)

We can see that the ratio of the number of students on the team to the number of students trying out is the same for girls and boys.

Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

such as a day or a week. Number of Failed Parts: The number of parts that have failed over a given period of time, such as a day or a week. Hours of Operation: The amount of time that a machine or system was operational during a given period of time, such as a day or a week. Maintenance Time: The amount of time that was spent maintaining a machine or system during a given period of time, such as a day or a week.

Mark for Follow-Up: An indication of which issues need to be addressed or followed up on to prevent future failures or improve performance. Field data aggregation is the process of summarizing, combining, and analyzing data that has been collected from various sources. The following are some of the common ways that field data is aggregated: Count of Failures: A count of how many times a failure has occurred within a given period of time,

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A. The equations for the amounts of money Lyle and Shaun have in their accounts are represented as:

f(x) = 20x + 100

g(x) = 10x + 500

B. When f(x) = g(x), x = 40.

A linear equation can be written in slope-intercept form y = mx + b. Here, the value of m is the unit rate or slope, while the value of b is its y-intercept or initial value.

Part A:

Equation for Lyle:

y-intercept / initial value (b) = $100

Slope / unit rate (m) = $20

To write the equation, substitute m = 20 and b = 100 into f(x) = mx + b:

f(x) = 20x + 100.

Equation for Lyle:

y-intercept / initial value (b) = $500

Slope / unit rate (m) = $10

To write the equation, substitute m = 10 and b = 500 into g(x) = mx + b:

g(x) = 10x + 500.

Part B: To solve the system, we would do the following:

20x + 100 = 10x + 500

20x - 10x = -100 + 500

10x = 400

x = 400/10

x = 40

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The conclusion after conducting one sample z-test for z value 5.7 is not possible the correct answer is option c. None of the above.

To determine the conclusion of a one-sample Z test based on the Z-value,

We need to compare the Z-value with the critical value of Z at the chosen level of significance (alpha) and with the corresponding p-value.

If the Z-value is greater than the critical value of Z or if the p-value is less than the chosen level of significance (alpha).

Then we reject the null hypothesis.

Otherwise, we fail to reject the null hypothesis.

Without knowing the level of significance and the corresponding critical value.

We cannot determine the conclusion of the test based solely on the Z-value of 5.7.

However, if we assume a standard significance level of 0.05.

We can use a Z-table or statistical software to find the corresponding critical value of Z, which is 1.96 for a two-tailed test.

If the Z-value of 5.7 is greater than the critical value of Z of 1.96, then we reject the null hypothesis.

Otherwise, we fail to reject the null hypothesis.

Therefore, for the one-sample Z test with given information it is not possible to conclude the correct answer is option c. none of the above.

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Answer:

2 19/24 feet

Step-by-step explanation:

14 5/8 = 14 15/24

17 5/12 = 17 10/24 ==> 16 34/24

16 - 14 = 2

34/24 - 15/24 = 19/24

Answer = 2 19/24 feet

Hope this helps!

-The Business Man

Answer:

36 words

Step-by-step explanation:

540 = 30 mins

? = 2 mins

then you criss cross it

30 mins = 1080 mins

you divide them both with 30

36

Answer:

Step-by-step explanation:

a (-5 + 3) = -2 ; (-7-4) = -11

Answer:

Hi, I'm Za'Riah! I will gladly assist you with your problem. (see explanation)

Step-by-step explanation:

To simplify a fraction, divide the top and bottom by the highest number that

can divide into both numbers exactly.

Find the GCF of the numerator and the denominator.

The factors of 10 are: 1, 2, 5, 10

The factors of 36 are: 1, 2, 3, 4, 6, 9, 12, 18, 36

Then the greatest common factor is 2.

Therefore, 10/36 reduced/simplified  is 5/18

Hope this helped!

Using fractions we can reduce the given fraction from 10/36 to 5/18 which is divisible by a table of 2.

A fraction, which derives from the Latin word fractus, which means "broken," is a portion of a whole or, more broadly, any number of equal pieces.

A fraction, such as one-half, eight-fifths, or three-quarters, indicates how many components of a particular size there are when stated in ordinary English.

A common, vulgar, or simple fraction (e.g., 1/ 2, 17/3) is made up of a non-zero denominator that is shown below (or after) the line that the numerator is printed above.

Compound fractions, complicated fractions, and mixed numeral fractions are examples of uncommon fractions that use numerators and denominators.

So, we have the fraction:

10/36

Reduce as fractions as follows:

Using the table 2,

= 10/36

= 5/18

Therefore, using fractions we can reduce the given fraction from 10/36 to 5/18 which is divisible by table 2.

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Answer:

can't really see the photo, but from what i can tell, the answer would be D. 45 degrees.

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The sum of the 3 angles in a triangle = 180°

sum the 3 angles and equate to 180

2x + x + 45 = 180

3x + 45 = 180 ( subtract 45 from both sides )

3x = 135 ( divide both sides by 3 )

x = 45° → D

Answer: >

Step-by-step explanation: 3/5 is equal to .6 and .5 is smaller than .6

The function is :\(y(x) = 10 + (7/8) e^8x + (97/72) e^9x + 3 e^x\)

To find y as a function of x, we need to solve the differential equation:

\(y′′′ − 17y′′ + 72y′ = 168e^x\)

Step 1: Find the characteristic equation

\(r^3 - 17r^2 + 72r = 0\)

Factor out r:

\(r(r^2 - 17r + 72) = 0\)

Factor the quadratic:

r(r - 8)(r - 9) = 0

So the roots are:

r₁ = 0, r₂ = 8, r₃ = 9

Step 2: Find the general solution

The general solution will be of the form:

\(y(x) = C1 + C2e^8x + C3e^9x + y_p(x)\)

where y_p(x) is a particular solution to the non-homogeneous equation.

Step 3: Find the particular solution

We can use the method of undetermined coefficients to find a particular solution. Since the right-hand side is an exponential function, we can guess that the particular solution is also an exponential function:

\(y_p(x) = A e^x\)

\(y_p′(x) = A e^x\)

\(y_p′′(x) = A e^x\)

\(y_p′′′(x) = A e^x\)

Substituting into the differential equation:

\(A e^x - 17A e^x + 72A e^x = 168 e^x\)

Simplifying:

\(56A e^x = 168 e^x\)

A = 3

So the particular solution is:

\(y_p(x) = 3 e^x\)

Step 4: Find the constants using initial conditions

y(0) = C₁ + C₂ + C₃ + 3 = 16

y′(0) = 8C₂ + 9C₃ + 3 = 23

\(y′′(0) = 8^2 C2 + 9^2 C3 = 24\)

Solving for the constants, we get:

C₁ = 10, C₂ = 7/8, C₃ = 97/72

Step 5: Write the final solution

Substituting the constants and the particular solution into the general solution, we get:

\(y(x) = 10 + (7/8) e^8x + (97/72) e^9x + 3 e^x\)

So the function y(x) is:

\(y(x) = 10 + (7/8) e^8x + (97/72) e^9x + 3 e^x\)

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Answer:

Uhhhh i think its B?

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

angles 3 and 7 are corresponding angles, so they are equivalent!!

if you need me to explain the types of angles in a situation like this I gladly will! i hope this helped you!! <3

In hypothesis testing, the probability of a Type II error (β) is the probability of failing to reject the null hypothesis when it is actually false. Since you always reject the null hypothesis, the probability of committing a Type II error is zero (β = 0).



The probability of a Type II error depends on the specific alternative hypothesis, the sample size, the significance level, and the power of the test. However, in the scenario you described, where the null hypothesis is always rejected, the Type II error probability is inherently zero. This is because a Type II error occurs when we fail to reject the null hypothesis even though it is false, but in this case, we never fail to reject it.

By always rejecting the null hypothesis, you are essentially adopting a stance that any sample evidence is sufficient to reject it. This approach can be considered overly aggressive and disregards the potential for false negatives. Type II errors can occur when the sample evidence is not strong enough to provide convincing support against the null hypothesis, leading to a failure to reject it. However, in this scenario, that possibility is entirely disregarded, resulting in a Type II error probability of zero.

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Answer:

D.

Step-by-step explanation:

To get the rectangle, multiply 10*3 = 30

Then to find both triangles, multiply 10*5=50

30+50=80

Let me know if this helped <3

Answer:

130 ft.

Step-by-step explanation:

the rectangle area is 30, cause l×h = area

triangle area is b×h and theres two so 5 x10 = 50 then multiply by 2 again so 100

then add both sums: 100+30 equalsssss 130.

Answer:

Explanation:

a) Here, we want to find an angle between 0 and 360 degrees that is coterminal with 1260

To find angles coterminal with an angle, what we have to do is to subtract multiples of 360 degrees from it

Now, let us find the number of times we can have 360 in 1260

By division, we have it that 1260/360 = 3.5

Now, to find the coterminal angle within the range, we have it that:

The coterminal angle within the given range is 180 degrees

b) Mathematically, we know that the term "pi" represents 180 degrees

Thus 2 pi is same as 2 * 180 = degrees

For ease of convenience, let us have the angle given in degrees

We have this as:

Now, let us proceed

What we have to do is to add this to 360 degrees so we can get the positive coterminal in degrees

We have this as -345 + 360 = 15

Lastly, we represent this in radians as follows:

Answer:

125°

Step-by-step explanation:

In circle with center O.