Which of the following is the equation of the line that has a slope of -3 and passes through thepoint (-2, 6)?

Answer:

5 times

Step-by-step explanation:

1/6·30=5

so your answer is b)5

Can i have a brainliest please or 10 points?

The equation will be 4(x + 2) = 40. Then the value of the variable 'x' will be 8.

The sum of all the sides of the square or the product of the four and the edge length of the square is known as the perimeter of the square. For a square with a side length of a unit, we get:

Perimeter of the square = 4a unit

The perimeter of the square is 40 cm. And the sides length of the square is (x + 2) cm. Then the perimeter of the square is given as,

4(x + 2) = 40

Simplify the equation, then we have

4(x + 2) = 40

(x + 2) = 10

x = 10 - 2

x = 8

The equation will be 4(x + 2) = 40. Then the value of the variable 'x' will be 8.

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The complete question is given below.

Solve it to find the value of x. Also, find the actual length of each square perimeter of the square is 40 cm and side length is (x + 2).

Answer:

(-3 , -7)

Step-by-step explanation:

Answer:

Null hypothesis: \( \mu \geq 60\)

Alternative hypothesis: \( \mu <60\)

Since the sample size is large enough we can assume that the distribution for the statistic is normal so then in order to find the critical value for this test taking in count the significance level given of 0.05 we need to look in the normal standard distribution a value who accumulates 0.05 of the area in the left and would be:

\( z_{crit}= -1.64\)

Step-by-step explanation:

For this case we have the following data given:

\( \bar X = 53\) represent the sample mean

\( s = 23\) represent the sample deviation

\(n = 10000\) represent the sample size.

We want to test for this case if the true mean is less than 60 so then the system of hypothesis are:

Null hypothesis: \( \mu \geq 60\)

Alternative hypothesis: \( \mu <60\)

Since the sample size is large enough we can assume that the distribution for the statistic is normal so then in order to find the critical value for this test taking in count the significance level given of 0.05 we need to look in the normal standard distribution a value who accumulates 0.05 of the area in the left and would be:

\( z_{crit}= -1.64\)

Answer:

One side - 15 feet

Second side - 4 feet

Third side - 13 feet

Step-by-step explanation:

Let's call the sides A B and C, respectively.

We know that:

A = B + 11

C = B + 9

and that

A + B + C = 32

Please note that we have 3 equations and 3 unknowns. We can solve this, we'll use substitution.

A + B + C = (B + 11) + B + (B + 9) = 32

3B + 20 = 32

3B = 12

B = 4

The sides have lengths of 4+11 = 15, 4 and 4+9 = 13. This is in fact a proper triangle (because the shorter sides add up to more than the longer side).

Answer:

2x² + 5x + c = 0

For this quadratic equation to have one double root, the discriminant must equal 0.

5² - 4(2)(c) = 0

25 - 8c = 0

c = 25/8

2x² + 5x is not a perfect square because the coefficient of x², 2, is not a perfect square.

2x² + 5x is not a perfect square.

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Answer:

In simplifying this is simple.

The sum of the two rational equations is equal to (3 · n² + 5 · n - 10) / (3 · n³ - 6 · n²).

In this question we must use algebra definitions and theorems to simplify the addition of two rational equations into a single rational equation. Now we proceed to show the procedure of solution in detail:

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Answer:

B. More than 90

Step-by-step explanation:

Hope this helps!

Answer:

A(t)  =  27.86 in²

Dimensions of the paper:

L =  3.73 in

w = 7.47 in

Step-by-step explanation:

The total area of a rectangular page  A  = ( x + 2)* (y + 4 )         x  is the length and  y the wide. x  and  y  are the dimensions of the print area

The print area of the paper is  A =  6 in²       6 = x*y     y  =  6/x

Then print area as a function of x is

A(x)  =  ( x + 2 ) * ( 6/x + 4 )    ⇒  A(x)  =  6  +  4*x  + 12/x + 8

Taking derivatives on both sides of the equation:

A´(x)  =  4  - 12/x²        A´(x)  =  0     4  =  12 /x²

x²  = 12/4       x =√3    x  =  1.73  in  and   y  =  6 / 1.73

y  =  3.47 in

Then the dimensions of the paper  are.

Length  L =  x  + 2  = 3.73 in      and   w  =  3.47 + 4  = 7.47 in

And the least amount of paper is

A(t)  =  3.73* 7.47  =  27.86 in²

To find out if x = 1.73 is an x coordinate for a minimum we get the second derivative

A´´(x)  =  24/x³    is always positive   A´´(x) > 0  then we have a minimum for A at  x = 1.73

Answer:

She would have scored 75 points.

Step-by-step explanation:

Points scored in a basketball game vary directly with shots taken.

This means that this question can be solved by proportions, using a rule of three.

How many would she have scored if she takes 60 shots?

Using a rule of three:

50 points - 40 shots

x points - 60 shots

Applying cross multiplication:

\(40x = 50*60\)

Dividing both sides by 40

\(x = 50*1.5 = 75\)

She would have scored 75 points.

Answer:

The additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is 219,000.

Step-by-step explanation:

It is given that Ed Moura has $73,000 invested in stocks earning an average return of 8%, and that he should put the remaining funds in certificates of deposit paying an average return of 4%, the average return on the two investments is 5%, than;

=> 0.08 (73,000) + 0.04b = 0.05 (b + 73,000)

=> 5840 + 0.04b = 0.05b + 3650

=> 0.01b = 2190

=> b = 219,000

=> $219,000

Therefore, the additional money that Ed Moura should invest in certificates of deposit paying 4% so that the average return on the two investments is 5% is $219,000.

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9514 1404 393

Answer:

Step-by-step explanation:

It appears term n is the square of the digit 7 prepended with (n-1) sixes. That square is n instances of the digit 4, followed by (n-1) instances of the digit 8, followed by the digit 9.

Then the 5th line of the pattern will be ...

  66667^2 = 4444488889

__

The 7th line of the pattern will be ...

  6666667^2 = 44444448888889

Answer:

3x-8

Step-by-step explanation:

if 8 less than something it means subtract, example:

8 less than 21 = 13

and plus u said 3 times x and when multiplying by a variable(letter) you can put them together, example:

3 times x = 3x

The given statement can be written as expression as -

f(x) = 3x - 8

Given is the statement -

8 less than 3 times

We have -

Assume the number to be [x]. Then -

f(x) = 3x - 8

Therefore, the given statement can be written as expression as -

f(x) = 3x - 8

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4, 5 and 40 are the values of a, b and p respectively.

Quadratic equations are equations that has a leading degree of 2. Given the expression below:

(ax +b)² = 16x² + px + 25

Expand the left hand side of the expression.

(ax +b)² = 16x² + px + 25

a²x²+2axb+b² = 16x² + px + 25

Compare the terms of the expression:

a²x² = 16x²

a² = 16

a = 4

b² = 25

b = 5

Similarly;

2axb = px

2ab = p

p = 2(4)(5)

p = 40

Hence the value of a, b and p from the expression are 4, 5 and 40 respectively.

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Answer:

\(\sqrt{a^{6} *a}\)

Step-by-step explanation:

when multiplying exponents, as long as the base is the same, you add the power. \(a^{6}*a^1=a^(6+1)=a^7\)

The ratio of the areas of two similar polygons can be found by using the ratio of their perimeters or the ratio of similarity and squaring it which is true.

The polygon is a 2D geometry that has a finite number of sides. And all the sides of the polygon are straight lines connected to each other side by side.

Similar polygons are those whose perimeter ratios are identical to their respective scale factors. The common fraction of the sizes of two matching sides of two identical polygons is known as a scale factor.

The given statement is true.

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Step-by-step explanation:

hdhebrvd0jdjbrvrbdjxjdndbxbdje I veebjdxhyxhdnebeve

We are 95% confident that the true population proportion is between 71.6% and 80.4%

The 95% confidence interval for the proportion of all U.S. grown people who would include those  on their list of 10 historic events can be constructed using the formula:

Where:

\(pi\) = sample proportion (76%)

SE = standard error (square root of \(pi(1-pi)/n\))

z = the critical value for a 95% confidence level (1.96)

n = sample size (2025)

Plugging in the values, we get:

\(SE =\sqrt{(0.76(1-0.76)/2025)} = 0.0240\\CI = 0.76 ± (1.96)(0.0240) = (0.716, 0.804)\)

The 95% confidence interval can be interpreted as follows: If we repeated this study many times, 95% of the intervals constructed would contain the true population proportion of all U.S. grown persons who would include on their list of 10 historic events. Based on this sample, we are 95% confident that the true population proportion is between 71.6% and 80.4%.

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Answer:

complementary angles are equal and sum of all the angles is 360 degree

Answer:

When two lines intersect they form two pairs of opposite angles, A + C and B + D. Another word for opposite angles are vertical angles. Vertical angles are always congruent, which means that they are equal. Adjacent angles are angles that come out of the same vertex.

Answer:

3.  dad=32 and son=16

4. You cannot do this one without knowing the sum of their ages I believe that there is a typo on your page

Step-by-step explanation:

3. 23+8=32

32 divided by 2 = 16

The missing value for the quadratic function is given as follows:

y = -3.

As a function of it's roots x* and x**, the quadratic function is defined as follows:

y = a(x - x*)(x - x**)

In which a is the leading coefficient.

The roots of the function are the values of x when y = 0, hence:

x* = -4, x** = -2.

Thus:

y = a(x + 4)(x + 2)

y = a(x² + 6x + 8).

When x = 0, y = -8, hence the leading coefficient a of the function is given as follows:

8a = -8

a = -1.

Hence:

y = -x² - 6x - 8;

The missing value is the value of y when x = -1, hence:

y = -(-1)² - 6(-1) - 8

y = -3.

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Answer:

30

Step-by-step explanation:

f(-5) = -7(-5) - 5

= 35 - 5 = 30

Answer:

90

Step-by-step explanation:

90

Answer:

\(l = 30\)     OR     \(l=-60\)

Step-by-step explanation:

We can solve this problem with a system of equations by creating 2 equations from the information given.

1. "a length of 30 feet less than 5 times its width"

\(l = 5w - 30\)

2. "the area of the rectangle is 360 ft²"

\(l\cdot w = 360\)

To solve for the rectangle's length, we can create a substitution for w by dividing both sides of the second equation by length (\(l\)).

\(l\cdot w = 360\\\overline{\ \ l\ \ } \ \ \ \: \ \overline{\ l \ \ }\)

\(w = \dfrac{360}{l}\)

Then, we can substitute this value back into the first equation and solve for \(l\).

\(l = 5(\dfrac{360}{l}) - 30\)

↓ distribute the 5

\(l(l) = \left(\dfrac{1800}{l} - 30\right)l\)

↓ multiply both sides by \(l\)

\(l^2 = 1800 - 30l\)

↓ move all \(l\)'s to one side

\(l^2 + 30l = 1800\)

To solve this quadratic, we can complete the square.

    ↓ add (30/2)² to both sides

    \(l^2 + 30l + \left(\dfrac{30}{2}\right)^2 = 1800 + 15^2\)

    ↓ simplify 15²

    \(l^2 + 30l + 225 = 1800 + 225\)

    ↓ factor the left side as a perfect square

    \((l + 15)^2 = 2025\)

    ↓ take the square root of both sides

    \(l + 15 = \pm \sqrt{2025}\)

    \(l + 15 = \pm 45\)

↓ split into 2 equations

\(l + 15 = 45\)     OR     \(l + 15 = -45\)

\(\boxed{l = 30}\)          OR     \(\boxed{l=-60}\)

The correct answer is Graph 1: y = cos(x/4)Graph 2: y = cos(x/2)

Based on the given descriptions of the graphs and the patterns they follow, the correct pairs are:

Graph 1: y = cos(x/4) ⟶ This graph has a period of 8 units and matches the pattern described.Graph 2: y = cos(x/2) ⟶ This graph has a period of 4 units and matches the pattern described.

Graph 3: y = cos(x) ⟶ This graph has a period of 2π (or approximately 6.28 units) and matches the pattern described.

Graph 4: (Not used)

Graph 5: (Not used)

Please note that without visual representation, it's difficult to provide a definitive answer. The pairs are based on the descriptions provided and may vary depending on the actual shapes of the graphs.

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The last ratio can be written as:

X:Y:Z = 25:15:21

Here we have two ratios for 3 variables X, Y, and Z.

X:Y = 5:3

Y:Z = 5:7

And using these two, we want to find the ratio betwen the 3 variables, which is written as:

X:Y:Z

We can write the two ratios in such a way that Y has the same value in both, then we can multiply the first ratio by 3 and the second by 5.

X:Y = 25:15

Y:Z = 15:21

Now that Y has the same value in both cases, we can just group them in the following way.

X:Y:Z = 25:15:21

That is the ratio between the 3 variables.

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