solve the simultaneous equations on paper write down the coordinates of the points where the two graphs meet
y=x^2+19x+49
y=5x+4

Answer:

Step-by-step explanation:

Distribute 7 to the first number

7 * -3/4 = -21/4

-21/4 = 5  -1/4

Distribute 7 to the second number

7 * -3

= -21

Put the numbers together

They separated the parenthesis.

So it is still 7 * -3/4

and

7*-3.

Hope this helps,

Kavitha

The third polygon must have five sides as well, since the interior angles of the three polygons must add up to 360°.

The interior angle of a regular pentagon is 108°. Therefore, the three pentagons must have a total of 3 x 108° = 324°. The remaining 36° must come from the third polygon, which must also have five sides.

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Answer: 34 panthers 13 Giants

Step-by-step explanation: 47 - 13= 34 which will equal the panthers now find what number with 34 would equal 47. so that means, 34+13= 47

Answer:

Answer:

x = 30

Step-by-step explanation:

The problem is \(\frac{x}{5}\) = 6.  We need to end up with "x equals some number."  This is called solving for x.  In order to do this we need to have x by itself.  We look at the problem and ask, "what is preventing x from being by itself?"  In this case x has a "divided by 5" with it.  How can we get rid of that?  Well we can do the opposite of "divided by 5,"  and that is to multiply the left side by 5.  That leaves x by itself which is exactly what we need.  But if do something to one side of an equation, we need to do it to the other side for the equation to still be true.  So in this case we also have to multiply the right side by 5 also, which gives us 30 on the right side.  So in our original problem:

 \(\frac{x}{5}\)= 6

Multiply both sides by 5 and we have the answer:

x = 30

Answer:

thank you...........................................

The most appropriate choice for sentence correction will be given by:

Sentence correction is a type of grammatical practice where a sentence is given with a word or a phrase that requires grammatical changes or improvement.

Now,

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Answer: you would look for y and then once you have y you put it into desemos which is a graphing app and then you get your line

Step-by-step explanation: you would do +3x on both sides with out doing it to the 4y and the. You would get 4y =23+3x and then you divide everything by 4 even the 4y and then you would get y= 23/4 + 3/4x and then you put it into desemos and it will give you it graphed

Answer:

Step-by-step explanation:

Given the expression, -3(2w+6)-4, we are to look for an equivalent expression for the equation.This is as shown:

Step 1: Open the parenthesis

= -3(2w+6)-4

= -3(2w)-3(6)-4

= -6w-18-4

Step 2: Simplify the resulting expression in step 1

= -6w-18-4

= -6w - 22

Step 3: factor out the common values from each term. Since the common value is 2, on factoring we will have;

2{-3w+(-11)}

Hence the equivalent expression is 2{-3w+(-11)}

Answer:

a and b

Step-by-step explanation:

no.

Answer:

y= 0.50x

Step-by-step explanation:

this means that for every minute that passes, john will earn an additional $0.50. at x=1 or at 1 minute, y=0.50 which means that John. has earned $0.50 over that amount of time.

Given information: In the PGA, on par 3 holes, golfers hit the green in one shot 80% of the time. In fact, 20% of the time, they hit the green in one shot and then need only one putt to complete the hole. So 60% of the time, they hit the green in one shot but are unsuccessful on their putt.

Let G be the event that the golfer hits the green in one shot. Let P be the event that the golfer needs one putt to make the hole. Probabilities listed in the problem: Probability of hitting the green in one shot

.= 80% = P(G)Probability of hitting the green in one shot and needing only one putt = 20% = P(G ∩ P)Probability of hitting the green in one shot but are unsuccessful on the putt = 60% = P(G ∩ P')Where P' denotes not P or the complement of P. In other words, P' means that the golfer needs more than one putt to make the hole.

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to make a perpendicular function from another we must take its slope and make two transformations

the slope of y=1/3x is 1/3

the transformations:

1.

reverse the number

2.

and change the sign

ok we have the slope now need the general equation of the line

where m is the slope , b a cut point and (x,y) a point

so, we have the slope=-3 , and the point (2,-3) we can replace to find b

now we can replace b and the slope to have the final equation

To use the least-squares regression line to predict the outcome (y-value) for a specific x-value in your data, follow these steps:

1. Start by calculating the equation of the least-squares regression line using the given data. This line represents the best fit to the data points.

2. Once you have the equation of the regression line, plug in the x-value for which you want to predict the y-value. This will give you the predicted y-value.

3. To calculate the predicted y-value, substitute the x-value into the equation of the regression line and solve for y. This will give you the estimated outcome based on the regression line.

4. Remember that the least-squares regression line is a line of best fit and provides an approximation. It does not guarantee an exact prediction for each individual data point.

In conclusion, you can use the least-squares regression line to predict the outcome (y-value) for a specific x-value by calculating the equation of the line and substituting the x-value into the equation. However, keep in mind that this is an estimation based on the best fit to the data.

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Answer:

-5

Step-by-step explanation:

h(x)=3

3=-x-2

3+2=5

3=-(-5)-2

negatives cancel

3=5-2

The greatest common factor of the polynomial expression, \(28y^8 + 21y^6 + 14y^2\)  is: 7y²

The greatest common factor (GCF) of a polynomial expression is the biggest figure that isolates equally into each term of the polynomial. To discover the GCF of a polynomial, ready to calculate each term and after that recognize the variables that are common to all terms. The item of these common variables gives us the GCF.

To see why, we can factor each term:

\(28y^8\) = 4 * 7 * \(y^8\) = (2 * 2) * (7 * \(y^8\))

\(21y^6\) = 3 * 7 * \(y^6\) = 3 * (7 * \(y^6\))

\(14y^2\) = 2 * 7 * y² = 2 * (7 * y²)

We can see that all three terms have a factor of 7 and y². Therefore, the greatest common factor is 7y².

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Using the Normal distribution , the Standard error of the sample weight is 6.708..

For calculating the the standard error of the sample we need to calculate

σ = sample standard deviation

n = number of samples

We have given that,

Mean of sample = 160 lbs

Standard deviation = 30 lbs.

Number of samples = 20.

Standard error = (standard deviation)/ number of samples

putting all the values in above formula, we get

standard error = (30)/( 20) = 6.708

So, Standard error of the average sample weight is 6.708 ..

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Answer:

2x+7

Step-by-step explanation:

F(x+3)=2(x+3)+1

F(x+3)= 2x+6 +1 =2x+7

Answer:

  2. 26.2 m

  3. 117.2 cm

Step-by-step explanation:

You want the perimeters of two figures involving that are a composite of parts of circles and parts of rectangles.

The circumference of a circle is given by ...

  C = πd . . . . . where d is the diameter

The length of the semicircle of diameter 12.6 m will be ...

  1/2C = 1/2(π)(12.6 m) = 6.3π m ≈ 19.8 m

The two lighted sides of the rectangle have a total length of ...

  3.2 m + 3.2 m = 6.4 m

The length of the light string is the sum of these values:

  19.8 m + 6.4 m = 26.2 m

The length of the string of lights is about 26.2 meters.

The perimeter of the figure is the sum of four quarter-circles of radius 11.4 cm, and 4 straight edges of length 11.4 cm.

Four quarter-circles total one full circle in length, so we can use the formula for the circumference of a circle:

  C = 2πr

  C = 2π·(11.4 cm) = 22.8π cm ≈ 71.6 cm

The four straight sides total ...

  4 × 11.4 cm = 45.6 cm

The perimeter of the figure is the sum of the lengths of the curved sides and the straight sides:

  71.6 cm + 45.6 cm = 117.2 cm

The design has a perimeter of about 117.2 cm.

__

Additional comment

The bottom 12.6 m edge in the figure of problem 2 is part of the perimeter of the shape, but is not included in the length of the light string.

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The probability for event A is:

P(A) = 0.325

If the two events are independent, then the joint probability is equal to the product between the two individual probabilities, so we have:

P(A and B) = P(A)*P(B)

Here we know:

P(B) = 0.4

P(A and B) = 0.13

Replacing that we get:

0.13 = P(A)*0.4

0.13/0.4 = P(A)

0.325 = P(A)

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To find the derivative of the curve r(t) = <-3t, -6t, 1 + 2t^2>, we differentiate each component with respect to t:

r'(t) = <-3, -6, 4t>

To find the second derivative, we differentiate each component of r'(t):

r"(t) = <0, 0, 4>

The curvature of a curve at a specific point is given by the formula:

k(t) = |r'(t) x r"(t)| / ||r'(t)||^3

Substituting the values:

k(t) = |<-3, -6, 4t> x <0, 0, 4>| / ||<-3, -6, 4t>||^3

The cross product of the vectors is:

<-24, 12t, 0>

The magnitude of the cross product is:

|<-24, 12t, 0>| = sqrt((-24)^2 + (12t)^2 + 0^2) = sqrt(576 + 144t^2) = sqrt(144(4 + t^2))

The magnitude of the vector r'(t) is:

||<-3, -6, 4t>|| = sqrt((-3)^2 + (-6)^2 + (4t)^2) = sqrt(9 + 36 + 16t^2) = sqrt(25(1 + 4t^2))

Plugging these values into the curvature formula:

k(t) = sqrt(144(4 + t^2)) / sqrt(25(1 + 4t^2))^3

To find the curvature at t = 1, we substitute t = 1 into the expression:

k(1) = sqrt(144(4 + 1^2)) / sqrt(25(1 + 4(1^2)))^3

      = sqrt(144(4 + 1)) / sqrt(25(1 + 4))^3

      = sqrt(144(5)) / sqrt(25(5))^3

      = sqrt(720) / sqrt(125)^3

      = sqrt(720) / 5^3

      = sqrt(720) / 125

      = 12sqrt(5) / 125

Therefore, k(1) = 12sqrt(5) / 125.

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Answer:

10

Step-by-step explanation:

I took this quiz yrs ago

Answer: The y-intercept is -2/3

Step-by-step explanation: Im good at maths

The solution to the differential equation y' + y = 7x with the initial condition y(0) = 63 is y = 7x + 63e^(-x).

To solve the differential equation y' + y = 7x, we need to find an integrating factor which can be used to simplify the equation. An integrating factor is a function that is multiplied to both sides of a differential equation to make it easier to solve.The integrating factor for this equation can be found by multiplying both sides by e^x, which results in e^x y' + e^x y = 7x e^x. Notice that the left side of the equation can now be simplified to the derivative of (e^x y) using the product rule.

Therefore, we have (e^x y)' = 7x e^x. Integrating both sides with respect to x gives us e^x y = 7x e^x + C, where C is the constant of integration. Solving for y, we get y = 7x + Ce^(-x).To find the value of the constant C, we can use the initial condition y(0) = 63. Substituting x = 0 and y = 63 into the equation, we get 63 = 0 + Ce^0, which simplifies to C = 63.
Therefore, the solution to the differential equation  is y = 7x + 63e^(-x).

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At this rate, the amount of sauce and cheese which Paula would use to make 5 pizzas is: B. Paula will use 35 oz of sauce and 20 oz of cheese to make 5 pizzas.

In Mathematics, a proportion can be defined as an equation which is typically used to represent the equality of two (2) ratios. This ultimately implies that, proportions can be used to establish that two (2) ratios are equivalent and solve for all unknown quantities.

By applying direct proportion to the given information, we have the following number of sauce:

4 pizzas = 28 sauce

5 pizzas = X sauce

Cross-multiplying, we have:

X sauce = 5/4 × 28

X sauce = 35 sauces.

By applying direct proportion to the given information, we have the following number of sauce:

4 pizzas = 16 cheese

5 pizzas = X cheese

Cross-multiplying, we have:

X cheese = 5/4 × 16

X cheese = 20 cheese.

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Answer:

x=4

Step-by-step explanation:

Because 1/8 is a fraction to cancel it out on the x side you have to multiply by 8

8*1/8x=1/2*8

giving you 1x=4

The c is equal to half of the definite integral of the function over the interval [0, 2].

To determine c such that f(c) is the average value of the function on the interval [0, 2], we can use the formula for the average value of a function:

avg = 1/(b-a) * ∫(a to b) f(x) dx

In this case, a = 0 and b = 2, so the formula becomes:

avg = 1/2 * ∫(0 to 2) f(x) dx

We want to find the value of c such that f(c) = avg, so we can set these two expressions equal to each other and solve for c:

f(c) = avg
f(c) = 1/2 * ∫(0 to 2) f(x) dx

We can then use calculus to solve for c by finding the derivative of both sides with respect to c and setting them equal to each other:

f'(c) = 1/2 * (f(2) - f(0))

Solving for c gives us:

c = (1/2) * ∫(0 to 2) f(x) dx

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The corresponding parts in the two triangles are:
- Side LM corresponds to side QR.
- Angle L corresponds to angle R.

The given question asks us to identify the corresponding parts between two triangles, triangle LMN and triangle QRP, after a series of transformations.

To determine the corresponding parts, let's analyze each transformation step by step:

1. Triangle LMN is rotated 180° clockwise about point M. This means that every point in triangle LMN is rotated by 180° in a clockwise direction around point M.

2. After the rotation, triangle LMN is then translated up. This means that every point in triangle LMN is moved vertically upwards by the same distance.

Now, let's consider the corresponding parts between the two triangles:

- Side LM corresponds to side QR. This is because after the rotation and translation, the side LM of triangle LMN aligns with side QR of triangle QRP.

- Angle L corresponds to angle R. This is because after the rotation, angle L of triangle LMN becomes angle R of triangle QRP. The rotation preserves the measure of the angles.

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Answer:

3(x-6)/(x+2)(x-2)

Step-by-step explanation:

Answer:

3(x−6)

---------------

(x+2)(x−2)

Step-by-step

could be wrong.....

Answer: y = 1/2x

Step-by-step explanation: I looked at the graph to find this. Look at the points (0,2) and (2,3). You will get 1/2 because you move up by 1 and move along the x-axis 2 places. I hope this helps, have a nice day.