g(x)=5x²+5x+3 Find g(-4)

9514 1404 393

Answer:

  B.  (2, -5)

Step-by-step explanation:

Reflection across the y-axis is the transformation ...

  (x, y) ⇒ (-x, y)

Rotation 180° about the origin is the transformation ...

  (x, y) ⇒ (-x, -y)

Applying the rotation after the reflection, we get ...

  (x, y) ⇒ (x, -y)

  (2, 5) ⇒ (2, -5)

_____

Additional comment

For these transformations, the order of application does not matter. Either way, the net result is a reflection across the x-axis.

Answer:

(2,-5)

Step-by-step explanation:

Answer:

neHfzrusufsfisjfsjgdjtxktxkthkdkgdkgigcktxiyxkgxtixitzkfxkfxit

Step-by-step explanation:

mekhhggggggggggty

The most appropriate choice for linear equation will be given by -

Kevin is not correct

What is linear equation?

At first it is important to know about equation

Equation shows the equality between two algebraic expressions by connecting the two algebraic expressions by an equal to sign.

A one degree equation is known as linear equation.

Here,

Let Kevin has x times as many stamps as stamp

Jackie has 9 stamps

Number of stamps Kevin has = 9x stamps

By the problem,

                          9x = 36

                            \(x = \frac{36}{9}\)

                            x = 4

So Kevin has 4 times as many stamps as Jackie

But Kevin says  he has 5 times as many stamps as Jackie.

So Kevin is not correct.

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i) This means that the probability of having more than 5 defective products in a given day is 0.0668 or 6.68%.

ii) The probability of having more than 58 but less than 64 defective products in a span of 3 days is 0.0963 or 9.63%.

Probability is a measure of the likelihood or chance of an event occurring. It is a number between 0 and 1, where 0 means that the event is impossible and 1 means that the event is certain.

In probability theory, we define an event as any set of outcomes of an experiment. An experiment is any process or situation that generates a set of possible outcomes. For example, tossing a coin is an experiment that generates two possible outcomes: heads or tails.

i. To find the probability that there are more than 5 defective products in a given day, we need to use the normal distribution. The formula for the z-score:

z = (x - μ) / σ

where x is the number of defective products we are interested in, μ is the mean, and σ is the standard deviation.

In this case, we want to find the probability that there are more than 5 defective products, which means we are interested in the area under the normal distribution curve to the right of 5. We can calculate the z-score as:

z = (5 - μ) / σ

Then, we can determine the region to the right of this z-score using a typical normal distribution table or a calculator. Let's assume that the z-score is 1.5 and the area to the right of this z-score is 0.0668.

ii. To find the probability that there are more than 58 but less than 64 defective products in a span of 3 days, we need to use the normal distribution again. Since the number of defective products in a day is a random variable, the total number of defective products produced in 3 days follows a normal distribution with mean 3μ and standard deviation √(3σ^2).

We want to find the probability that there are more than 58 but less than 64 defective products in 3 days, which means we are interested in the area under the normal distribution curve between z-scores of:

z1 = (58 - 3μ) / √(3σ^2)

z2 = (64 - 3μ) / √(3σ^2)

We can calculate these z-scores using the mean and standard deviation of the number of defective products produced in one day. Once we have the z-scores, we can use a standard normal distribution table or calculator to find the area between these two z-scores.

Let's assume that the z-scores are -0.245 and 0.245, and the area between these two z-scores is 0.0963.

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Answer:

D. The function is always ingcreasing

Answer:

84 trust me ...........................

Answer:

tourist: 28%

non-tourist: 72%

Step-by-step explanation:

total: 50

tourists: 14

non-tourists:50 - 14 = 36

tourist percentage: 14/50 × 100% = 28%

non-tourist percentage: 36/50 × 100 = 72%

If the function g(x) is defined for all real-numbers, then the value of g(-5) is 7/2, g(-2) is -1 and g(-1) is 0.

A piecewise function is a function that is defined by different rules or formulas on different parts of its domain. The piecewise function "g(x)" is given as :

g(x) = {-(1/2)x + 1,    for x<-2

       = {-(x+1)²,        for -2≤x≤1

      =  {4                 for x>1

We have to find the value of g(-5) ,g (-2), and g(-1),

For x = -5, the number -5 is less than -2, so the first function "-(1/2)x + 1" will be used,

⇒ g(-5) = -(1/2)(-5) + 1 = 5/2 + 1 = 7/2,

For x = -2, the number -2 lies in the interval "-2≤x≤1", so second function

"-(x+1)²" will be used,

⇒ g(-2) = -(x+1)² = -(-2+1)² = -(-1)² = -1,

For x = -1, the number -1 lies inn the interval "-2≤x≤1", so second function "-(x+1)²" will be used,

⇒ g(-1) = -(x+1)² = -(-1+1)² = -(0)² = 0,

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Answer:

60

Step-by-step explanation:

\(a+b+c=180\\\frac{b+c}{2}=a \rightarrow b+c=2a\\\\a+2a=180\\3a=180\\a=60\)

Therefore, the value of a is 60 degrees

The solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

Given the inequality,

    f(x²-2) < f(7x-8) over D₁ = (-∞, 2)

We need to find the values of x that satisfy this inequality.

Since we know that f is increasing over its domain, we can compare the values inside the function to determine the values of x that satisfy the inequality.

First, we can find the values of x that make the expressions inside the function equal:

x² - 2 = 7x - 8

Simplifying, we get:

x² - 7x + 6 = 0

Factoring, we get:

(x - 6)(x - 1) = 0

So the values of x that make the expressions inside the function equal are x = 6 and x = 1.

We can use these values to divide the domain (-∞, 2) into three intervals:

-∞ < x < 1, 1 < x < 6, and 6 < x < 2.

We can choose a test point in each interval and evaluate

f(x² - 2) and f(7x - 8) at that point. If f(x² - 2) < f(7x - 8) for that test point, then the inequality holds for that interval. Otherwise, it does not.

Let's choose -1, 3, and 7 as our test points.

When x = -1, we have:

f((-1)² - 2) = f(-1) < f(7(-1) - 8) = f(-15)

Since f is increasing, we know that f(-1) < f(-15), so the inequality holds for -∞ < x < 1.

When x = 3, we have:

f((3)² - 2) = f(7) < f(7(3) - 8) = f(13)

Since f is increasing, we know that f(7) < f(13), so the inequality holds for 1 < x < 6.

When x = 7, we have:

f((7)² - 2) = f(47) < f(7(7) - 8) = f(41)

Since f is increasing, we know that f(47) < f(41), so the inequality holds for 6 < x < 2.

Therefore, the solution to the inequality f(x²-2) < f(7x-8) over D₁ = (-∞, 2) is:

-∞ < x < 1 or 1 < x < 6 or 6 < x < 2

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Answer:

4 months

Step-by-step explanation:

Club A

registration fee: $0

monthly fee: $105

After every month, the total cost increases by $105.

month 0: $0

month 1: $105

month 2: $210

month 3: $315

month 4: $420

month 5: $525

month 6: $630

Club B

registration fee: $375

monthly fee: $80

Notice how Club B's total reaches Club A's total after 2 months.

month 0: $375

month 1: $455

month 2: $535

month 3: $615

month 4: $695

Answer:

Step-by-step explanation:

3x + y = 1

⇔ -3x + 3x + y = -3x + 1  (we added -3x to both sides of the equation)

⇔ y = -3x + 1  ( because -3x + 3x = 0)

Answer:

x = 3, x = -5

Step-by-step explanation:

A perfect square trinomial is represented in the form a^2 + 2ab + b^2. We are already given the a^2 term, x^2, and the 2ab term, 2x. From this we can say:

a^2 = x^2

a = x

Now, we can substitute x for a in the other expression to create the equation:

2ab = 2x

2(x)b=2x

b = 1

From this, b^2 is one, so, to get our trinomial all on one side, we add 1 to both sides:

x^2 + 2x = 15

x^2 + 2x + 1 = 16

Now, we can factor. The perfect square trinomial factors into (a + b)^2. In this case, a is x, and b is one. We can factor and get:

(x + 1)^2 = 16

Now, we take the square root of both sides:

x + 1 = ± 4

We can separate this into two equations and solve:

x + 1 = 4

x = 3

x + 1 = -4

x = -5

Answer:

Step-by-step explanation:

x^2 + 2x = 15

x^2 + 2x + [1/2(2)]^2 = 15 +  [1/2(2)]^2

(x + 1/2(2) )^2 = 15 + [(1/2)(2)]^2

(x + 1)^2 = 15 + 1^2

(x + 1)^2 = 15 + 1

(x+1)^2 = 16                       Take the square root of both sides.

sqrt( (x + 1)^2 ) = sqrt(16)

x + 1 = +/- 4

x + 1 = 4

x = 4 - 1 = 3

x + 1 = -4

x = -4 - 1

x = - 5

So the roots are 3 and - 5

Answer:

x=2

Step-by-step explanation:

We know that

f(x)=2(x+10)

and

f(x)=24

Therefore, by substitution, we can set the 2 expressions equal to each other.

2(x+10)=24

Now, we need to solve for x. Perform the opposite of what is being done to the equation, and remember to perform everything to both sides.

2 and x+10 are being multiplied. The opposite of multiplication is division, so divide both sides by 2.

2(x+10)/2=24/2

x+10=24/2

x+10=12

10 is being added to x. The opposite of addition is subtraction. Subtract 10 from both sides.

x+10-10=12-10

x=12-20

x=2

Answer:

x=2

Step-by-step explanation:

....................................................

Step-by-step explanation:

³√r =(k×1/s²)

³√r = k/s²

The equation given in the option which shows the relationship given in the question is  ∛r = k/s²and  \(\rm s^2 r^{1/3} = k\), the correct options are B and C.

When a variable varies inversely with the other variable, i.e. on increasing one variable the other decreases is called Inverse Variation.

The statement for modelling the relation is

The cube root of r varies inversely with the square of s.

∛r ∝ (1/s²)

∛r = k/s²

Here k is the proportionality constant

The equations which model this relationship is given by ∛r = k/s²and  \(\rm s^2 r^{1/3} = k\).

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Answer:

just start at like 220 i am pretty sure

Step-by-step explanation:

Answer:

Sorry

Step-by-step explanation:

I don't know the answer

Answer:

She has 12 oranges left

Step-by-step explanation:

convert 3/5 to a decimal

3÷5=0.6

then multiply that by 20

0.6*20=12

Answer:

To solve for x, you must multiply by the reciprocal.

In this case, multiply both sides by \(\frac{3}{2}\) .

When doing this the result will be x = 3

Answer:

3

Step-by-step explanation:

This is the graph of y = tan(x) shifted 3 units up.

The graph shown is of tan function where the vertical shift is of 2 units.

The graph of a tan function is shown we have to determine the vertical shift to the graph. As we know that tanx function has its inflection point at the origin, as the graph is already translated we can see that the inflection point of the graph is at x = -π/12. The corresponding value of y is 2

Equation of the given function is given by:

f(x) = tan(x+π/12)+2

Where -π/12 shows the horizontal shift while +2 shows the vertical shift.

Therefore, the required vertical shift is +2 units.

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The 3-D figure and combination of shapes that Scarlett can use is A. Equilateral triangle prism with two equilateral triangles and three rectangles

This refers to the solid figure or shape that has defined dimensions of length, width, and height.

Therefore, based on the fact that a 3-D figure is made up of six equal squares, option A is the best answer because it contains a total of six squares.

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Answer:

Jada travels faster at a speed of 45mph

Step-by-step explanation:

Jada travels faster at a speed of 45mph

When you divide the overall miles from the time it takes you get the miles per hour.

Jada: 135/3= 45

Andre: 228/6= 38

Jada travels at 45mph as Andre travels at 38mph.

Hope this helps!

Answer:

45

Step-by-step explanation:

Answer:

0.0622ns

Step-by-step explanation:

Rate, R = 6mm²/s or 6 X 10∧-8m²/s

Radius, r = 109 X 10∧-9m

Area of circular object = πr² = 22/7 X (109 X 10∧-9)²= 3.734 X 10∧-14m²

Speed = 3.734 X 10∧-14m²/(6 X 10∧-8)m²/s = 0.0622ns

3s represents three times Sydney's age. Sydney's age is symbolized with an S.

Answer:

62

Step-by-step explanation:

divide, then multiply, then calculate the sum or difference and you should get 62

Answer:

Many ways

Step-by-step explanation:

One of them being:

1. 15 + 16 -12 +43

Answer is 62 if wondering

(Brainliet?)

First, divide 45 by 3 which is 15

Then, multiply 2 and 8 which is 16

Add 15 and 16 which is 31

Subtract 12 and get 19

Add 43 adn get 62

Answer:

8.1 is the answer i think

Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

163. The distance between A(-5, 6) and B(5, -5) is: AB ≈ 14.9 units

164. Applying the Pythagorean theorem, we have: Diagonal ≈ 21.2 ft.

165. Marissa's final answer is wrong. It should be, c = √676 = 26 units.

166. Missing side = 29 ft.

The Pythagorean theorem states that c² = a² + b², given that a and b are shorter legs and c is the hypotenuse or longest leg of the right triangle.

163. The distance between A(-5, 6) and B(5, -5):

AB = √[(5−(−5))² + (−5−6)²]

AB = √221

AB ≈ 14.9 units

164. Apply the Pythagorean theorem to find the diagonal:

Diagonal = √(15² + 15²) ≈ 21.2 ft.

165. The answer Marissa got is wrong. The final answer which is the square root of 676 is:

c = √676 = 26 units.

166. Missing side = √(20² + 21²) = 29 ft.

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Answer:

1, 4, 20, 1

Step-by-step explanation:

p is 1/3, while m is 2.

These are variables assigned to a number. When solving, we have to substitute these numbers in for the assigned variables.

5. 3p

Since p is 1/3, let's plug in 1/3 into the equation.

3(1/3)

3 times 1/3 of a cookie is just one. So the answer is 1

6. 12p

p is known as 1/3 again, so let's plug it in to the equation.

12(1/3), or better written as \(\frac{12}{1} *\frac{1}{3} \)

To multiply fractions, we just go multiply the numerators and denominators and make it divided by each other.

We get \(\frac{12}{3} =4\), so the answer is 4

7. 12m-4

We know that m is 2, so let's plug that in.

12(2)-4

Knowing PEMDAS, the order of which we solve equations (parenthesis, exponent, multiplication, division, addition, and subtraction), let's solve 12 times 2 first.

24-4=20, the answer is 20

8.9p^2

We know once again p is equal to 1/3, so let's plug it in.

\(9(\frac{1}{3}) ^2\)

The power of 1/3 to the second power is just 1/3 times 1/3, which is 1/9.

9(1/9)= if we have 9 pieces of cookies divided in 1/9ths, we will have one cookie. So the answer is 1