Simplify:
x2 +5x-14
x2+10x+21

Answer:

3.875 pizzas

Step-by-step explanation:

31/8=3.875

4x+12 so I think the answer for the parenthesis would be 12

Answer:

10

Step-by-step explanation:

[tex]10.75 - 8.25 = \frac{x}{4} \\ 2.5 \times 4 = x \\ x = 10[/tex]

Answer:

1. AB AC BC

2. angle P angle angle R angle Q

3. angle M

Step-by-step explanation:

Topic: triangle properties

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Answer: 2

Step-by-step explanation:

5+3=8

8/4=2

‍♂️ I’m not the best at explaining

Answer:

the picture is super blurry can u change the picture and I'll do my best to answer it :)

Step-by-step explanation:

The sum of the two algebraic expressions modeled by the algebra tiles is 3x - 1.

Algebraic expressions are mathematical statements with a minimum of two terms containing variables or numbers.

Arithmetic operations can also be specified by subtracting, dividing, and multiplying built-in functions.

We have to determine the sum of the two algebraic expressions modeled by the algebra tiles.

Let the variable would be x.

List the algebraic expression by the algebra modeling tiles

⇒ (2x - 6) + (x +5)

⇒ 2x - 6 + x +5

Rearrange the terms and apply the arithmetic operation

⇒ 3x - 1

Therefore, the sum of the two algebraic expressions modeled by the algebra tiles is 3x - 1.

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Answer:

ok

Step-by-step explanation:

Answer:

1. (-9.5,0)

2. (2,0)

3.(-1,0)

4.(6.5,0)

5.(-1,4)

6. (0,-4)

7.(4,1)

8. (-8,18)

Answer:

Hello' I think you forgot to add a picture

Answer:

ok

Step-by-step explanation:

Answer:

i believe it is  - 9n/2 - 4

Step-by-step explanation:

Hope this helps

Line B changes because you are taking -2x and adding it to both sides to get -10x -24 = 36

You do this to get the X on one side of the equation, hope this helped you :)

Answer:

First you need to divide 1.6 by 2 to get .8 then multiply

.8 x 6 = 4.8

.8 x 8 = 6.4

Then multiply 4.8 by 6.4 and get 30.72

The area of the actual backyard is 30.72 [tex]m^2[/tex]

Since A scale model drawing of a backyard is 6 centimeters wide and 8 centimeters long. The scale model uses a scale in which 2 centimeters represents 1.6 meters.

Here we were required to divide 1.6 by 2 so that 0.8 could come

Now

[tex]= (.8 \times 6) \times (.8 \times 8) \\\\= 4.8 \times 6.4[/tex]

= 30.72

Therefore, The area of the actual backyard is 30.72 [tex]m^2[/tex]

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Answer:

1/8 or 0.125 if i am correct

Step-by-step explanation:

9514 1404 393

Answer:

  QR = 2

Step-by-step explanation:

The sum of ratio units is 4+5+2 = 11, corresponding to the total length OP +PQ +QR = OR. OR is also 11, so each ratio unit stands for 11/11 = 1 length unit.

The number of ratio units associated with QR is 2, so the length of QR is 2.

Answer:

 A) the curves are ellipses

 B) 161 yards

 C) 366 yards

Step-by-step explanation:

A) The general shape of the side marked c has the appearance of two quarter-ellipses. The major axis is approximately 125 yards, and the minor axis is approximately 80 yards. Paul could assume that the curves are quarter-ellipses.

B) For an ellipse with this eccentricity, its perimeter is within 2% of that of a circle with a diameter equal to the average of these dimensions.*

So, the approximate length of side c is ...

c ≈ π(80 +125)/4 ≈ 161 . . . . yards; length of side c  

C) The perimeter of the pond is the sum of the side lengths, so will be ...  

80 yds + 125 yds + 161 yds = 366 yds . . . pond perimeter  

Indian mathematician Ramanujan developed an approximate formula for the circumference of an ellipse, which would otherwise need to be computed using an elliptic integral. it is ...

C = π(a+b)(1 + 3λ²/(10 +√(4 -3λ²))    where λ = (a -b)/(a +b) and a, b are the semi-axis lengths.

For this ellipse, λ = 9/41, so the last factor is about 1.01208313. Using this factor, the circumference is expected to be good to about 7 significant digits. Continuing the calculation, we find  C ≈ 325.904 . . . . circumference of an ellipse 125 yd long by 80 yd wide

This is twice the length we imagine for c, so c ≈ 163 yards. As we said, the approximation used above is within 2% of this value.

The attachment shows the shape if the curve is actually an ellipse.

Answer:

Hope this helped a little :)

Step-by-step explanation:

The all horizontal and vertical intercepts of the graph are x-intercept(s): (-4/3, 0), (1,0), (3,0) and y-intercept(s): (0,72).

The given function is g(x) = -2(3x+4)(x-1)(x-3)².

Functions are the fundamental part of the calculus in mathematics. The functions are the special types of relations. A function in math is visualized as a rule, which gives a unique output for every input x.

1) The sketch a graph of the polynomial is given below.

2) To find the x-intercept, substitute in 0 for y and solve for x. To find the y-intercept, substitute in 0 for x and solve for y.

x-intercept(s):

(-4/3, 0), (1,0), (3,0)

y-intercept(s): (0,72)

3) Use the degree and the leading coefficient to determine the behavior.

Falls to the left and falls to the right

Therefore, the all horizontal and vertical intercepts of the graph are x-intercept(s): (-4/3, 0), (1,0), (3,0) and y-intercept(s): (0,72).

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Answer: 8 markers are in each box. But if there asking how much her sister took away and how many markers are in each box left it would be 6

Step-by-step explanation:

24 divided by 3 is 8

Answer:

1

Step-by-step explanation:

The exponent in the expression 45 is 1

[tex]45 = {(45)}^{1} \\ \\ exponent = 1[/tex]

Answer:

A-3 because 5+8=3, 10+3 doubled=16, and so on so on

Step-by-step explanation:

Answer:

It is c, 1.6

Step-by-step explanation:

To find the constant of proportionality, you divided y by x. 8 divided by 5 is 1.6. 16 divided by 10 is 1.6 24 divided by 15 is 1.6.

So therefore it is c, 1.6 :)

Answer:

The 95% confidence interval of the proportion of Americans who believe in the conspiracy is  [tex] 0.551<  p <  0.610[/tex]

Step-by-step explanation:

From the question we are told that

   The sample size is  n =1057

   The number that believe there was a conspiracy is  k = 614

Generally the sample proportion is mathematically represented as

      [tex]\^ p = \frac{614}{1057 }[/tex]

=>   [tex]\^ p = 0.5809[/tex]

From the question we are told the confidence level is  95% , hence the level of significance is    

      [tex]\alpha = (100 - 95 ) \%[/tex]

=>   [tex]\alpha = 0.05[/tex]

Generally from the normal distribution table the critical value  of  [tex]\frac{\alpha }{2}[/tex] is  

   [tex]Z_{\frac{\alpha }{2} } =  1.96[/tex]

Generally the margin of error is mathematically represented as  

     [tex]E =  Z_{\frac{\alpha }{2} } * \sqrt{\frac{\^ p (1- \^ p)}{n} } [/tex]

=>   [tex]E = 1.96 * \sqrt{\frac{0.5809 (1- 0.5809)}{1057} } [/tex]    

=>   [tex]E = 0.02975  [/tex]  

Generally 95% confidence interval is mathematically represented as  

      [tex]\^ p -E <  p <  \^ p +E[/tex]

=>    [tex] 0.5809 - 0.02975<  p <  0.5809 + 0.02975[/tex]

=>    [tex] 0.551<  p <  0.610[/tex]

Answer:

Lincoln Avenue is represented by the line [tex] x = 5 [/tex], which is a VERTICAL LINE.

Step-by-step explanation:

The equation of the line of Washington Avenue, x = 3, suggests that the line is a vertical line, since a vertical line takes the form of x = k, where k is the value x would always take and also it is the x-intercept.

Given that Lincoln Avenue passes through the point (5, 2), and its line is parallel to that of Washington Avenue, it means that the line do not intercept each other, and Lincoln Avenue is also a vertical line.

Therefore, if Lincoln Avenue passes through (5, 2), its line can be represented also in the form, x = k. Where, k is the value that x would always take, and also, it is the x-intercept. x would always be 5 even when y changes.

Therefore, the equation of the line that represents Lincoln Avenue would be:

✅ [tex] x = 5 [/tex]

✅This is also a Vertical line.

Answer:

We verified that the equation [tex]7\frac{1}{2}\div1\frac{1}{2}=5[/tex] has both sides equal.

Step-by-step explanation:

We need to solve and verify: [tex]7\frac{1}{2}\div1\frac{1}{2}=5[/tex]

Solving:

[tex]7\frac{1}{2}\div1\frac{1}{2}=5[/tex]

Converting into improper fractions

[tex]\frac{15}{2}\div\frac{3}{2}=5[/tex]

Converting division sign into multiplication and reversing 3/2 i.e

[tex]\frac{15}{2}\times\frac{2}{3}=5[/tex]

Now simplifying

[tex]\frac{15}{3}=5 \\5=5[/tex]

So, We verified that the equation [tex]7\frac{1}{2}\div1\frac{1}{2}=5[/tex] has both sides equal.

Answer:

x = 1.4

Step-by-step explanation:

6 - 2x = 8(x -1)

6 - 2x = 8x - 8

collecting like terms

-2x - 8x = -8 - 6

-10x = -14

10x = 14

dividing both sides by 10

x = 14/10

x = 1.40 (2d.p)

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The required domain of the function given is all real numbers. Option B is correct.

Given that,
To determine the domain of the given function shown in the graph.

The domain is defined as the values of the independent variable for which there is a certain value of the dependent variable exists in the range of the function.

Here,
As shown in the graph function is given as y = 1.5,
So the domain x for the given function is given as all real values of the x from -∞ to +∞.

Thus, the required domain of the function given is all real numbers. Option B is correct.

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Answer:

38 is the 13th term

Step-by-step explanation:

Just add 3 until you are at the 13th term

Answer:

D. X = -5

Step-by-step explanation:

With f(x) = -5x + 4, all you have to do is plug in X for the x in the problem so you would do "f(x) = -5 x 5 + 4" (Becuase X=5 for d) Then you get the answer 29.