What is the change that occurs to the parent function f(x) = x^2 given the function f(x) = (x + 1)^2 - 5.

Answer:

65 degrees

Step-by-step explanation:

Step 1:  Find what the measure of JLK is

JLM + JLK = 180

140 + JLK - 140 = 180 - 140

JLK = 40

Step 2:  Find what the measure of KJL is

KJL + JLK + JKL = 180

KJL + 40 + 75 = 180

KJL + 115 - 115 = 180 - 115

KJL = 65

Answer:  65 degrees

Answer:

(1/2) = 0.50.

Answer: 0.5

Step-by-step explanation: the answer is 0.5 because 1/2 i half of something 0.5 is half of 1 making 1/2 equivalent to 0.5

please make brainiest.

The solution to the system of equations is [tex]\( (4, 4) \)[/tex]. Therefore the correct option is a.

Given equations:

1. [tex]\( y = x^2 - 6x + 12 \)[/tex]

2. [tex]\( y = 2x - 4 \)[/tex]

To find the solution to the system, we'll set the two equations equal to each other because they both equal [tex]\( y \)[/tex]. So:

Step 1:

[tex]\[ x^2 - 6x + 12 = 2x - 4 \][/tex]

Now we will move all terms to one side to set the equation to zero.

Step 2:

[tex]\[ x^2 - 6x + 12 - 2x + 4 = 0 \][/tex]

[tex]\[ x^2 - 8x + 16 = 0 \][/tex]

This is a quadratic equation. To solve for [tex]\( x \)[/tex], we can either factor the quadratic, use the quadratic formula, or complete the square. The equation in Step 2 seems to be a perfect square trinomial.

Step 3:

The equation [tex]\( x^2 - 8x + 16 \)[/tex] factors to [tex]\( (x - 4)^2 = 0 \)[/tex].

Step 4:

Now, we solve for [tex]\( x \)[/tex] by taking the square root of both sides.

[tex]\[ (x - 4)^2 = 0 \][/tex]

[tex]\[ x - 4 = 0 \][/tex]

[tex]\[ x = 4 \][/tex]

Now that we have the value of [tex]\( x \)[/tex], we can substitute it back into either of the original equations to solve for [tex]\( y \)[/tex]. We can use the simpler equation [tex]\( y = 2x - 4 \)[/tex].

Step 5:

[tex]\[ y = 2(4) - 4 \][/tex]

[tex]\[ y = 8 - 4 \][/tex]

[tex]\[ y = 4 \][/tex]

So the solution to the system of equations is [tex]\( (4, 4) \)[/tex]. There is only one solution because the quadratic equation had a repeated root, meaning the lines intersect at exactly one point.

The complete question is given below:

Answer:

I think 2.333333333

Step-by-step explanation:

Answer:

D. 2 + 1/3 Cups of Flour

Step-by-step explanation:

84 Cups of Flour / 36 Batches of Cookies

                            =

x Cups of Flour /  1 Batch of Cookies

x = 7/3 Cups of Flour

D. 2 + 1/3 Cups of Flour

Step-by-step explanation:

It is: 35/100 = 7/20 simplified

Answer:

Step-by-step explanation:

7/20

The density of the pyramid is calculated by first finding the volume using the formula for a pyramid's volume, and then dividing the mass by this volume, resulting in a density of approximately 0.469 g/cm³.

To find the density of a pyramid with a rectangular base, we first need to calculate its volume. The formula for the volume of a pyramid is V = (1/3)Bh where B is the area of the base and h is the height. In this case, the base has dimensions of 4 cm by 8 cm, so its area is 4 cm * 8 cm = 32 cm². The height of the pyramid is given as 10 cm, so the volume can be calculated as V = (1/3)*32 cm²*10 cm = 106.67 cm³.

With the mass of the pyramid given as 50 grams, the density (ρ) can be calculated using the formula ρ = mass/volume. Thus, the density is 50 grams / 106.67 cm³ = 0.469 g/cm³. Therefore, the density of the pyramid is approximately 0.469 g/cm³.

Answer:

(0, -0.89) or -0.89

Step-by-step explanation:

Step 1:  Solve for y by dividing both sides by -9

-9y = 7x + 8

-9y / -9 = (7x + 8) / -9

y = -7/9x - 8/9

Step 2:  Identify the y-intercept

y = mx + b

m is slope

b is y-int

y = -7/9x - 8/9

Answer = (0, -0.89) or -0.89

Answer:

-0.89

Step-by-step explanation:

(see attached graphic for reference)

recall that the slope-intercept form of a line looks something likeL

y = mx + b

where m is the slope and b is the y-intercept.

Hence all we need to do is to rearrange our equation so that it looks like the one above.

-9y=7x+8    (divide both sides by -9)

-9y / (-9) = (7x+8) / (-9)

y = (7x+8) / (-9)   (use distributive property )

y = [  7x / (-9) ] +    [  8/(-9)  ]  

y = (-7/9)x + (-8/9)

comparing this equation with the general equation above,

we can see that the

y-intercept , b

= -8/9

= -0.88888..............

= -0.89 (nearest hundredth)

Answer:

6 or 6/1

Step-by-step explanation:

Multiple: -2 * (-3) = 6

Answer: I think 24

Step-by-step explanation: This is because the least is them multiplied by each other.  

Answer: 8

Step-by-step explanation: 8 times 8 is 64.

Answer:

8

Step-by-step explanation:

[tex]8^{2} = 64[/tex]

Step-by-step explanation:

Given:

[tex] (2,\:0)=(x_1,\:y_1) \:\&\: m = - \frac{4}{5}[/tex]

Equation of line in slope point form is given as=

[tex]y - y_1 = m(x-x_1) \\ \therefore \: y - 0 = - \frac{4}{5}(x - 2) \\ \therefore \: y = - \frac{4}{5}(x - 2) \\ \therefore \: 5y = - 4(x - 2) \\ \therefore \: 5y = - 4x + 8 \\ \therefore \: 5y + 4x - 8 = 0 \\\therefore \: 4x + 5y - 8 = 0 \\ which \: is \: the \:equation \:of \: required \: \\ line.\: [/tex]

Answer:

I believe it is A

Step-by-step explanation:

because if the time is 24.78 and you have to get the exact time then then answer is A but if it asks you to round to the nearest millisecond then then its B. Sorry if its confusing hope this helps! :)

Final Answer:

Option B, 24.8 seconds, is the most appropriate way to report time using this stopwatch.

Explanation:

The most appropriate way to report time from a stopwatch that measures to the nearest 0.1 seconds is to report the time to the same level of precision. This means that we should report the time with one decimal place, as the stopwatch does not provide measurements with a greater precision than that.

Given the options:
A. 24.78 seconds - This shows two decimal places, which is more precision than the stopwatch can measure. It should not be used.

B. 24.8 seconds - This shows one decimal place, which matches the precision that the stopwatch is capable of measuring. This is the correct way to report the time.

C. 24.778 seconds - This shows three decimal places, which is again more precision than the stopwatch can measure. It should not be used.

D. 25 seconds - This has no decimal places, thus it does not represent the precision of the stopwatch which is to the nearest 0.1 seconds. It should not be used.

Therefore, option B, 24.8 seconds, is the most appropriate way to report time using this stopwatch.

Final answer:

To calculate the total annual premium for the welding shop, the premiums for the four welders and the secretary are calculated separately based on their wages and rates, and then added together, resulting in a total annual premium of $15,958.

Explanation:

The question is asking us to calculate the total annual premium for workers' compensation insurance for a small welding shop with four welders and one secretary, based on their respective wages and insurance premium rates.

First, we will calculate the premium for the welders. Since there are four welders each earning $37,000 per year, the total wages for welders is:

$37,000 x 4 = $148,000

The insurance premium per welder is $10.57 per $100 of gross wages. To find the total premium for all welders, we do:

($10.57/$100) x $148,000 = $15,643.60

Next, we'll calculate the premium for the secretary. The secretary earns $24,000 per year, and the insurance premium is $1.31 per $100 of gross wages, which gives us:

($1.31/$100) x $24,000 = $314.40

Adding the premiums for the welders and the secretary gives us the total annual premium:

$15,643.60 + $314.40 = $15,958

So, the total annual premium for the workers' compensation insurance for the welding shop is $15,958.

The total annual premium for the workers' compensation insurance is $15,958.00.

1. Calculate the premium for each welder:

  - Each welder earns $37,000 per year.

  - Premium rate for welders: $10.57 per $100 of gross wages.

  - Annual premium for one welder:

[tex]\[ \text{Premium for one welder} = \left( \frac{37,000}{100} \right) \times 10.57 = 370 \times 10.57 = 3,910.90 \text{ dollars} \][/tex]

  - Since there are four welders:

   [tex]\[ \text{Total premium for welders} = 3,910.90 \times 4 = 15,643.60 \text{ dollars} \][/tex]

2. **Calculate the premium for the secretary:

  - The secretary earns $24,000 per year.

  - Premium rate for the secretary: $1.31 per $100 of gross wages.

  - Annual premium for the secretary:

[tex]\[ \text{Premium for secretary} = \left( \frac{24,000}{100} \right) \times 1.31 = 240 \times 1.31 = 314.40 \text{ dollars} \][/tex]

3. Calculate the total annual premium:

 [tex]\[ \text{Total annual premium} = 15,643.60 + 314.40 = 15,958.00 \text{ dollars} \][/tex]

Answer:

30

Step-by-step explanation:

Answer:

-2x+16

Step-by-step explanation:

So, we would first distribute.

2x·6=12x

2x·-7=-14x

12x-14x+(8·2)

Simplify:

12x-14x+16

12x-14x=-2x

-2x+16

Answer:

Add the equations in order to solve for the first variable. Plug this value into the other equations in order to solve for the remaining variables.

Point Form:

( − 4 , 3 )

Equation Form:

x  =  −  4 ,  y  =  3

Step-by-step explanation:

Answer:

x = —4, y = 3

Step-by-step explanation:

-3x + 2y = 18 (1)

-9x - 5y =21 (2)

To solve by eliminating, the coefficients of either x or y must be the same in both equation.

Now let us make the coefficient of x in both equation to be the same. To do this, multiply equation (1) by the coefficient of x in equation (2) ie —9, and multiply equation (2) by the coefficient of x in equation (1) ie —3 this is illustrated below :

—9 ( —3x + 2y = 18)

27x — 18y = — 162 (3)

—3 ( —9x — 5y = 21)

27x + 15y = —63 (4)

Now, subtract equation 4 from equation 3

27x — 18y = — 162

— (27x + 15y = —63)

—33y = —99

Divide both side by —33

y = —99/—33

y = 3

Now we substitute the value of y into any of the equation to obtain x. In this case, let use equation 4

27x + 15y = —63

27x + 15(3) = —63

27x + 45 = —63

Collect like terms

27x = —63 —45

27x = —108

Divide both side by 27

x = —108/27

x = —4

Therefore, x = —4, y = 3

Answer:

Option D. Y equals 4 divided by x.

Step-by-step explanation:

The picture of the question in the attached figure

we know that

Looking a t the graph

For x=1, y=4

For x=4, y=1

For x=-1, y=-4

For x=-4, y=-1

therefore

The equation that satisfy  these values is

[tex]y=\frac{4}{x}[/tex]

Answer:

4

Step-by-step explanation:

the circumference is always a half of the radius

Answer:

ab - b^2

Step-by-step explanation:

The area of the large rectangle is

A = a*b

The area of the unshaded region is

A = b*b

The area of the shaded region is the large rectangle minus the unshaded region

ab - b*b

or

ab - b^2

Answer:

See below

Step-by-step explanation:

0.253 can be written as 253/1000

7.632 can be written as 7 632/1000 or 7 79/125 simplified

Answer:

z = 29

Step-by-step explanation:

GF = HE

z + 29 = 2z

Step 1:  Solve for z

z + 29 - z = 2z - z

29 = z

Answer:  z = 29

Answer:

  -4x^3 +12x^2 for 0 < x < 3

Step-by-step explanation:

The power rule is appropriate:

  (d/dx)x^n = n·x^(n-1)

This is applied to each of the terms.

  F'(x) = -(4·x^3) +4(3x^2) +0

  F'(x) = -4x^3 +12x^2 . . . . for 0 < x < 3

__

The derivative is not defined at the endpoints of the interval, so F'(x) is only defined on (0, 3), not [0, 3].

Answer:81,000.

Step-by-step explanation:

Answer:

The phrase that best describes the the line representing the relationship between the number of balloons remaining and the number of hats created is: Negative slope. Constant slope.

Step-by-step explanation:

Answer: Negative slope

constant slope

decreasing function

for edge

Answer:

Since pi cannot be expressed as a fraction, it is counted as an irrational number.  Numbers that are irrational are:  1/3, e, 5/6

Answer:

Step-by-step explanation:

it is shifted 4 units down.

y=f(x)

y=f(x)+a,a>0

it is shifted a units up .

y=f(x)-a ,a>0

it is shifted a units down.

Final answer:

The graph of y=-6x²-4 is the same as the graph of y=-6x² but shifted 4 units down. This shift is because a constant term (in this case -4) added or subtracted from a function results in a vertical shift of the graph.

Explanation:

The question asks how the graph ofy=-6x²-4  differs from the graph ofy=-6x². This is a situation where we are dealing with vertical shifts in quadratic functions. Looking at the function y = f(x), a subtraction of a constant term outside the function (not multiplying x) results in a vertical shift of the graph. Here, y=-6x²-4  is the same function as y=-6x², but with a vertical shift downwards by 4 units, resulting in the graph being shifted 4 units down.

For clarification and based on transformations, if we had a function f(x) = x² and transformed it to f(x) = x²- 4, the graph would shift vertically down by 4 units. Similarly, the graph of y=-6x², a downward-facing parabola with its vertex at the origin, will be shifted down by 4 units due to the -4 at the end of y=-6x²-4. Therefore, the correct answer is that the graph is shifted 4 units down.

Answer:

[tex]x + y \leqslant 8[/tex]

Step-by-step explanation:

The key idea here is to identify how to translate the statement, no more than, into inequality.

No more than 8 means less or equal to 8.

If Jess saw x dramas and y comedies at the movie theater, and she went to the theater no more than 8 times,then the inequality that best describes the situation is:

[tex]x + y \leqslant 8[/tex]

The third choice is correct

Answer:

Step-by-step explanation:

Hey just wanted to tell you guys this is the legit answer the other one posted is a fraud.

Answer: (x+5)^2 + (y-3)^2=16

[tex]\left(x^{2}-6\right)(x+5)[/tex] are the factors of the expression by grouping

Step-by-step explanation:

[tex]x^{3}+5 x^{2}-6 x-30[/tex]

We have to group the terms as,

[tex]\left(x^{3}+5 x^{2}\right)-(6 x-30)[/tex]

We can take the common factors as,

= [tex]x^{2}(x+5)-6(x+5)[/tex]

So it can be written as,

= [tex]\left(x^{2}-6\right)(x+5)[/tex]

So it was factorized by grouping.