graph g(x)=-2|x+5|-4
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The constant of proportionality for the paints portraits is estimated as 5.

For, the given question;

The relation between the portraits and the time for their drawing made by Drew is-

In 5 hours ----> 1 portrait

Thus, 5/1 = 5

In 10 hours ------> 2 portrait

Thus, 10/2 = 5

In 15 hours -----> 3 portrait

Thus, 15/3 = 5 .....and so on.

Therefore, the constant of proportionality is found as 5.

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The magnitude of the Pennsylvania earthquake is 4.

An exponent is a logarithm. You may convert any exponential expression to logarithmic form. As an illustration, if 8 = 23, the base is 2, the exponent is 3, and the outcome is 8. This may be represented as 3 = log2 8 in logarithmic notation.

The equation y=logb(x+h)+k shifts the logarithmic function, y=logbx, by k units vertically and h units horizontally.

Using the formula,

log I₁ / I₂ = M₁ - M₂

M₁ = 7.7,     I₁ / I₂ = 4900

log 4900 = 7.7 - M₂

log 4900 ≈ 3.69

On calculating,

M₂ ≈ 4

The magnitude of the Pennsylvania earthquake is 4.

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Answer:

-1

Step-by-step explanation:

i just inserted it into an online graphing calculator called desmos.

The number that can be equal to 2x² -50 =  2(x + 5)(x - 5).

For the given equation;

= 2x² -50

Take 2 common;

= 2(x² - 25)

This could be written as;

= 2(x² - 5²)

Now use per the property of (a² - b²)  = (a + b)(a - b).

= 2(x + 5)(x - 5)

Thus, the given expression 2x² -50 can be represented as 2(x + 5)(x - 5).

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Answer:

2

Step-by-step explanation:

8-4=4

4/2=2

Answer:

so you take 2×4=8 and 2×2=4 I think that's how to do it

Using operations with functions, we have that:

a) w(t) = -3t + 5.

b) The pool will leak all the water in 1.67 hours.

c) 1.67 hours.

d) Functions f(t) and d(t) intersect on the graph when all the water of the pool has been leaked.

e) The domain of the function is 0 ≤ t ≤ 1.67.

The amount of water in the pool is determined by the subtraction of the amount flowing into the pool by the amount being drained out the pool.

For this problem, these following functions are given:

Hence the amount of water in the pool is given by:

w(t) = f(t) - d(t)

w(t) = t² + 8t + 9 - t² - 11t - 4

w(t) = -3t + 5.

Hence:

The function is: w(t) = -3t + 5.

The pool will have leaked all the water when:

w(t) = 0.

Hence:

-3t + 5 = 0.

3t = 5

t = 1.67.

The pool will leak all the water in 1.67 hours.

Equaling f(t) and d(t), we have that:

t² + 8t + 9 = t² + 11t + 4.

3t = 5.

t = 1.67.

Functions f(t) and d(t) intersect on the graph when all the water of the pool has been leaked.

The domain of a function is the set that contains all input values of the function. For this problem, the input is the time, hence:

Hence:

The domain of the function is 0 ≤ t ≤ 1.67.

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The required zeros of the polynomial f(x) are 1 and ±√-1.

What are zeros of the polynomial?

All the possible values of x that will make the polynomial zero are called the zeros of the polynomial, p(x). Zeros of a polynomial can either be negative or positive.

Solving for the zeros of a polynomial

y = x³ - x² + x - 1

Let, f(x) = 0

x³ - x² + x - 1 = 0

Using heat and trial method, we get,

x =1 as one of the zero of the polynomial

It implies that (x-1) is the root of polynomial

Thus, dividing x³ - x² + x - 1 by x - 1, we get

x² + 1, which is then equated to 0 to obtain the zeros of the given polynomial

i.e. x² + 1 = 0

x = 1, ±√-1

Hence, the required zeros of the polynomial y are 1 and ±√-1.

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Answer:

B, 15 pencils

Step-by-step explanation:

Our equation: (5 x 42)/14

42 x 5 = 210

210/14= 15

The expression to illustrate the information when Toby's seventh grade class is going on a field trip to a history museum will be 0.2 (10x + 30y).

It should be noted that there are x students and y teachers going on the trip. Tickets for students are $10 each and tickets for teachers are $20 each and the history museum gave the class 20% off as part of a group promotion.

Therefore, it should be noted that the expression to illustrate this will be:

= 20% × (10 × x) + (20 × y)

= 0.2 (10x + 30y)

Therefore, the expression to illustrate the information when Toby's seventh grade class is going on a field trip to a history museum will be 0.2 (10x + 30y).

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Toby's seventh grade class is going on a field trip to a history museum. There are x students and y teachers going on the trip. Tickets for students are $10 each and tickets for teachers are $20 each. The history museum gave the class 20% off as part of a group promotion. What expression will illustrate this?

The solution for y is given as :  y = (34+x)/36

According to the question we have been the linear equation in two variable as :

                       2y - x = 34 (-y + 1)

We need to solve the above equation for y. For that we will do step by step.

First we will open the brackets on the right hand side of the equation we get

                        2y - x = -34y + 34

then we will combine the terms on the left hand side of the equation.

                        2y + 34y = 34 + x

                          36y  = 34+x

dividing both the sides by 36 we get

                         36y/36 = (34+x)/36

                             y = (34+x)/36

Hence the solution for y is given as :  y = (34+x)/36

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The height of building is 0.2 miles.

The given points form a right angled triangle. Top of the building to base of building is the perpendicular, base of building to the angle of elevation is base and angle of elevation to top of the building is hypotenuse. So, considering this, tan of angle of elevation related the two sides of triangle as follows -

tan theta = perpendicular ÷ base

tan 6° = perpendicular ÷ 2

Perpendicular = 2 × tan 6°

Keep the value of tan 6°

Perpendicular = 2 × 0.1

Performing multiplication

Perpendicular = 0.2 miles

Hence, the height of the building is 0.2 miles.

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The given function is a linear function because variable have first degree power.

The terms "linear function" in mathematics refer to two different but related ideas: A polynomial function of degree zero or one that has a straight line as its graph is referred to as a linear function in calculus and related fields.

The graph of a linear function is a straight line. The following is the form of a linear function. a + bx = y = f(x). One independent variable and one dependent variable make up a linear function. X and Y are the independent and dependent variables, respectively.

A linear function is a function that represents a straight line on the coordinate plane. As an illustration, the equation y = 3x – 2 represents a linear function because it is a straight line in the coordinate plane.

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Answer:

0.025

Step-by-step explanation:

Divide 4 by 139 and get the number as a decimal

Answer: 2/189

Step-by-step explanation:

(12x^5 + x² + 4) /4.

Polynomials are sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer. For example, 3x+2x-5 is a polynomial. Introduction to polynomials. This video covers common terminology like terms, degree, standard form, monomial, binomial and trinomial.

Given equation

x²/4+3x^5+1

Find common denominator

x²/4+3x^5 . 4/4+4/4

Combine fractions with common denominator

(x²+3x^5 . 4+4)/4

Multiply the numbers

(x²+12x^5 +4)/4

Rearrange terms

(x²+12x^5 +4)/4

(12x^5 + x² + 4) /4

Thus , solution of the given polynomial is (12x^5 + x² + 4) /4. we can also write it as -

3x^5 + x² / 4 + 1.

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Answer:

Smaller

Step-by-step explanation:

When you multiply something by 1/3, basically what you are doing is multiplying that thing by one and dividing it by 3.

To put it in a better perspective, let's say you have something that is 5 inches long and you multiply it by a scale factor of 1/3. The equation would be: (5*1)/3.

*Please mark brainliest answer

Answer:

Step-by-step explanation:

The most appropriate choice for modulus function is given by-

values of [tex]x[/tex] = [tex]\frac{48}{29}[/tex] and [tex]\frac{50}{27}[/tex]

What is modulus function?

Modulus function returns the absolute value of a function.

[tex]|x| = \left \{ {{x, x \geq 0} \atop {-x, x < 0}} \right.[/tex]

Here,

For [tex]14 - 8x \geq 0[/tex]

[tex]7(14-8x) = 2x + 2\\98 - 56x = 2x + 2\\56x + 2x =98 -2\\58 x = 96\\x = \frac{96}{58}\\ \\x = \frac{48}{29}[/tex]

For [tex]14 - 8x < 0[/tex],

[tex]7(8x - 14) = 2x + 2\\56x - 98 = 2x + 2\\56x - 2x =98 +2\\54 x = 100\\x = \frac{100}{54}\\ \\x = \frac{50}{27}[/tex]

So,  [tex]x = \frac{48}{29}[/tex] and [tex]x =\frac{50}{27}[/tex]

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The equivalent expression is (p3)(6p^4 - 12p^3 - 2p^2 + 4p).

An expression in math is a sentence with a minimum of two numbers or variables and at least one math operation.

Given:

(p^3)(2p^2 - 4p)(3p^2 - 1)

Now further solving

(p^3)(2p^2 * 3p^2 - 2p^2 * 1 - 4p * 3p^2 + 4p)

=(p^3) (6p^4 - 2p^2 - 12 P^3 + 4p)

=(p3)(6p^4 - 12p^3 - 2p^2 + 4p)

Hence, the value of expression is (p3)(6p^4 - 12p^3 - 2p^2 + 4p).

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The numeric values of the expressions are given as follows:

3. 36.

5. 38.

7. 16/61.

To find the numeric value of a function, we replace each instance of the variable by the desired value.

In item 3, we have that:

4|m - n|, m = -7, n = 2.

Hence the numeric value is:

4|-7 - 2| = 4|-9| = 4 x 9 = 36.

In item 5, we have that:

s²t - 10 with s = -8, t = 3/4.

Hence the numeric value is:

(-8)² x 3/4 - 10 = 48 - 10 = 38.

In item 7, we have that:

(a + b)^5/(a - 2b²), a = 6, b = -8.

Hence the numeric value is:

(-2)^5/(6 - 128)

-32/-122 (negative divided by negative is positive).

32/122 (simplify by 2).

16/61.

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Answer:

10 hours

$352

Step-by-step explanation:

Given costs:

Define the variables:

Create a system of equations using the given costs and defined variables:

[tex]\begin{cases}y=132+22x\\y=152+20x \end{cases}[/tex]

To find how many hours Ryan would need to rent the boat in order for the cost of both companies to be the same, substitute equation 1 into equation 2 and solve for x:

[tex]\begin{aligned}132+22x & = 152+20x\\132+22x-20x & = 152+20x-20x\\132+2x & = 152\\132+2x-132 & = 152-132\\2x & = 20\\\dfrac{2x}{2} & = \dfrac{20}{2}\\x & = 10\end{aligned}[/tex]

Therefore, the number of hours Ryan would need to rent the boat in order for the cost of both companies to be the same is 10 hours.

Substitute x = 10 into one of the equations to find the cost at both companies if Ryan rented a boat for this many hours:

[tex]\begin{aligned}x=10 \implies y & = 132+22(10)\\& = 132+220\\& = 352\end{aligned}[/tex]

Therefore, the cost at both companies if Ryan rented a boat for 10 hours would be $352.

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Answer:

n=-3

Step-by-step explanation:

2-2n=3n+17

-2n=3n+15

-5n=15

n=-3

The variance of the data sets is 77.7

Variance is the average of the squared differences from the Mean.

Therefore, to find the variance we have to find the mean, Then for each number: subtract the Mean and square the result.

Then work out the average of those squared differences.

Hence,

mean = 4 + 16 + 21 + 32 + 11 + 12 / 6 = 96 / 6 = 16

Therefore, lets find the difference and square it.

(4 - 16)² + (16 - 16)² + (21 - 16)² + (32 - 16)² + (11 - 16)²+ (12 - 16)²

144 + 0 + 25 + 256 + 25 + 16 = 466

Therefore,

variance = 466 / 6

variance = 77.6666666667

variance = 77.7

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The expression to represent the total amount of juice left in the jar is: (.25 + .30+  .75) -.20 and  the property used in each step is addition and extraction of Liquid from the mixture.

Expression:

(AJ+GP+PJ)-M

Where:

Apple juice=AJ

Grape juice=GP

Pineapple juice=PJ

Mixture=M

Hence,

(.25 + .30+  .75) -.20

b. Simplifying the expression

(.25 + .30+  .75) -.20

=1.3-.20

=1.10

Therefore the expression to represent the total amount of juice left in the jar is: (.25 + .30+  .75) -.20 and  the property used in each step is addition and extraction of Liquid from the mixture.

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By option verification,

i.e., substituting the options by given equation and verifying

Given -2x + 3y > = 1  and - 5x + 6y <= 1

Substituting option A i.e., ( x , y ) = ( 6,6)

-2x + 3y >=1 --> -2 * 6 + 3 * 6 >= 1

                   --> -12+ 18 >= 1    

                  ---> 6>=1

-5x + 6y<=1--> -5 * 6 + 6 *6 <=1

                 --> -30+ 36 <=1

                -->6<=1

False

Substituting option B i.e., (x ,  y)= (7 ,8)

-2x + 3y>=1  --> -2* 7 + 3 * 8>=1

                   --> -14 + 24>=1

                  --> 10>=1

-5x + 6y<=1 --> -5 *7 + 6* 8<=1

                  --> -35 + 48<=1

                  --> 13<=1

False

Substituting option C i.e., (x, y) = ( 8 ,7)

-2x + 3y >=1 --> -2* 8 + 3* 7>=1

                    --> -16 + 21>=1

                   --> 5>=1

-5x + 6y <=1 --> -5 * 8 +  6 * 7 <=1

                   --> -40 + 42<=1

                  --> 2<=1

False

Substituting option D i.e., (x ,y ) = (9, 7)

-2x + 3y >= 1 --> -2* 9 + 3 * 7 >=1

                    --> -18 +21>=1

                   --> 3>=1

-5x + 6y <=1 --> -5* 9 + 6 * 7 <=1

                    --> -45 + 42<=1

                   --> -3<=1

True

Therefore (x ,y ) = (9, 7) is the solution of the given equation -2x + 3y>=1 and -5x = 6y <=1

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Answer: For the people who were just as confused with the answer above, the answer is D-

Step-by-step explanation:

Answer:

3 = x ÷ 4

Step-by-step explanation:

Given expressions:

8 = x - 2 ⇒ x = 8 + 2= 10

3 = x ÷ 4  ⇒ x = 3*4 = 12

x - 6 = 5  ⇒ x = 5 + 6 = 11

x - 3 = 9  ⇒ x = 9 + 3 = 12

3 of them involves addition, one of them - multiplication

The second expression doesn't belong

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90X - 128 = 24X + 50

90X - 24X = 50 + 128