Solve for p in the literal equation 2p + 3r = q.
P =

Answer:

a = 5

Step-by-step explanation:

According to the factor theorem, if x + 2 is a factor, then by dividing the polynomial by the binomial, we are meant not to have a remainder

In this case, the remainder would be zero

So, if we set the binomial equals zero and substitute the x-value into the polynomial, we are supposed to have 0

So we have this as;

x + 2 = 0

x = -2

-2^3 -2(-2)^2 -2(a) + 6 = 0

-8-8-2a + 6 = 0

-16 + 2a + 6 = 0

2a -10 = 0

2a = 10

a = 10/2

a = 5

Answer:

[tex] x {4}[/tex]

Step-by-step explanation:

easy math

45 - [ 38 - { 60/3 - ( 6 - 3 )/3} ]

45 - [ 38 - { 60/3 - 3/3 } ]

45 - [ 38 - { 20 - 1 } ]

45 - [ 38 - 19 ]

45 - 19

=26

hope this helps....

Answer:

2/2 I'm not sure for that but its base on answer key

Answer:

[tex]66 \frac{2}{3} \%[/tex]

Step-by-step explanation:

[tex]scale \: factor = \frac{scaled \: drawing}{original \: drawing} [/tex]

[tex]∴scale \: factor = \frac{6}{9} [/tex]

Simplify the fraction by dividing both the numerator and denominator by 3:

[tex]scale \: factor = \frac{2}{3} [/tex]

As a percentage, scale factor

[tex] = \frac{2}{3} \times 100\%[/tex]

[tex] = 66 \frac{2}{3} \%[/tex]

Answer:

1 ; 3

Step-by-step explanation:

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

slope = 3/1

Step-by-step explanation:

select two clear-cut points, i used (1,2 and (2,5)

use slope formula which is the difference of the y-values over the difference of the x-values to get:

(5-2) / (2-1) = 3/1

slope = 3/1 or 3

Check:

to get from point (1,2) to (2,5) you rise by 3 and go over to the right by one unit

Answer:

3

Step-by-step explanation:

Step-by-step explanation:

i cant help

Answer:

x = 64

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

154 = x+90

Subtract 90 from each side

154-90 = x

64 =x

Answer:

x = 64

Step-by-step explanation:

First, we need to find the unknown interior angle next to the exterior angle.

? + 154 = 180

? = 26

Lastly, we need to find x.

x + 26 + 90 = 180

x + 116 = 180

x = 64

Answer:

44 degrees

Step-by-step explanation:

180-136 = 44 degrees

Answer:

A 9x--12 i hope this helps

Answer:

a. 9x-12

Step-by-step explanation:

Perimeter means total length of sides.

So, add (2x-7)+(5x-3)+(2x-2)

             9x-12

Answer:

B. 5 and 7

E. 1 and 3

F. 6 and 8

Step-by-step explanation:

The angles in matching corners are called corresponding angles.

Answer:

Step-by-step explanation:

volume of a cylinder=πr^2h

=3.14*2^2*4

=3.14*4*4

=50.24 m^3

Answer:

3.75*A + 2.50*D = 35

A + D = 12

A = 12 - D

3.75*(12-D) +2.5*D= 35

45 - 3.75D + 2.5D = 35

45 - 1.25D = 35 |-35

10 - 1.25D = 0 |+1.25D

10 = 1.25D | /1.25

8 = D

A+D=12

A+8=12 |-8

A=4

If you like it, brainliest would be cool

Answer:

[tex] = 3x {}^{2} + x - 3[/tex]

Answer:

y < -3x + 2

Step-by-step explanation:

The shading is below the line meaning the inequality is less than. Moreover, the line is dashed meaning there is no 'equal to'.

Therefore, the inequality is y < -3x + 2.

Answer:

b= 10

Step-by-step explanation:

h=2b, (bh/2)=100, bh=100, b^2=100, b=10

Answer:

B

Step-by-step explanation:

Answer:

0.2805

Step-by-step explanation:

Given that p = 20% = 0.2, n = 300.

The mean (μ) = np = 0.2 * 300 = 60

The standard deviation (σ) = [tex]\sqrt{np(1-p)}=\sqrt{300*0.2(1-0.2)}=6.93[/tex]

The z score is used to determine by how many standard deviations the raw score is above or below the mean. The z score is given by:

[tex]z=\frac{x-\mu}{\sigma }[/tex]

For x = 57:

[tex]z=\frac{57-60}{6.93 } =-0.43[/tex]

For x = 62:

[tex]z=\frac{62-60}{6.93 } =0.29[/tex]

From the normal distribution table, P(57 < x < 62) = P(-0.43 < z < 0.29) = P(z < 0.29) - P(z < -0.43) = 0.6141 - 0.3336 = 0.2805

Answer:

The distance between the lines: 4x+3y-11 and 8x+6y=15 is​ [tex]\frac{7}{10}[/tex]

Step-by-step explanation:

You have two parallel and different lines. The form of the implicit equations is:

A*x + B*y + C= 0

A'*x + B'*y + C'=0

Since the two lines are parallel, the coefficients of their general equations must satisfy that the slopes are equal.

Therefore, the equations can be transformed so that the coefficients A and B are equal, multiplying or dividing one of them by a constant.

So, the distance between two lines can be expressed as follows:

[tex]d=\frac{|C-C'|}{\sqrt{A^{2} +B^{2} } }[/tex]

In this case, you have:

Then, you have:

Replacing in the definition of distance:

[tex]d=\frac{|-22-(-15)|}{\sqrt{8^{2} +6^{2} } }[/tex]

Solving:

[tex]d=\frac{|-7|}{\sqrt{8^{2} +6^{2} } }[/tex]

[tex]d=\frac{7}{\sqrt{8^{2} +6^{2} } }[/tex]

[tex]d=\frac{7}{\sqrt{64+36 } }[/tex]

[tex]d=\frac{7}{\sqrt{100 } }[/tex]

[tex]d=\frac{7}{10}[/tex]

The distance between the lines: 4x+3y-11 and 8x+6y=15 is​ [tex]\frac{7}{10}[/tex]

Answer:

6x+48

Step-by-step explanation:

6(x+8)

=(6)(x+8)

=(6)(x)+(6)(8)

=6x+48

Answer:

72

Step-by-step explanation:

6(4+8)

6(12)

the answer is 72

Answer:

it means x is smaller than 2 and larger than -5

Answer:

[tex]6[/tex]

The answer is C:6

Answer:

Part A)

[tex]\begin{aligned} x+y&=120 \\ 90x+250y&=27600\end{aligned}[/tex]

Part B)

Flight X sold 15 tickets and Flight Y sold 105 tickets.

Part C)

Flight X made $1,350 and Flight Y made $26,250.

Step-by-step explanation:

Let the amount of tickets sold by Flight X be represented by x and the amount of tickets sold by Flight Y be represented by y.

Part A)

The airline sold 120 tickets in total. Hence:

[tex]x+y=120[/tex]

Each x ticket costs $90 and each y ticket costs 250. The total income was $27,600. Thus:

[tex]90x+250y=27600[/tex]

Our system of equations is:

[tex]\begin{aligned} x+y&=120 \\ 90x+250y&=27600\end{aligned}[/tex]

Part B)

Solve the system of equations. We can use substitution. From the first equation, subtract y from both sides:

[tex]x=120-y[/tex]

In the second equation, we can divide everything by 10 and substitute in x:

[tex]9(120-y)+25y=2760[/tex]

Simplify:

[tex]16y+1080=2760[/tex]

So:

[tex]y=105\text{ tickets}[/tex]

Using the equation above:

[tex]x=120-(105)=15\text{ tickets}[/tex]

Flight X sold 15 tickets and Flight Y sold 105 tickets.

Part C)

Since each ticket of Flight X sold for $90 and Flight X sold 15 tickets, Flight X made $1,350.

Then it follows that Flight Y made $26,250.

⊹˚ʚ ❑Answer︰The slope is 3!

⊹˚ʚ ❑Explanation︰use the formula y2-y1 over x2-x1

      ✎Daily reminder: make sure to eat food and stay hydrated, have a good day :D

Answer:

y = 3x - 2.

Step-by-step explanation:

The slope of the line (m) = (10-4)/(4-2)

= 3.

y - y1 = m(x - x1)

y - 10 = 3(x - 4)

y = 3x - 12 + 10

y = 3x - 2.

Answer:

60 sides

Step-by-step explanation:

✔ b + 0.75 = 1.89  

✔ subtract 0.75  

✔ b = $1.14

the person above me doesn't make since so here the answers

Benjamin presently have $1.14.

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Benjamin needs $0.75 more cents to buy a granola bar that costs $1.89.

let Benjamin have the amount $b.

So, the Expression to represent the situation is:

b + 0.75 = 1.89  

Now, subtract 0.75 from both side

b + 0.75 - 0.75 = 1.89 - 0.75

b = 1.14

Learn more about Equation here:

https://brainly.com/question/29657983

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Answer:

Vertex: [tex](x,y) = (4,4)[/tex], Axis of symmetry: [tex]x = 4[/tex], no x-Intercepts, y-Intercepts: [tex](x,y) = (0, 36)[/tex]. The graph is represented in the image attached below.

Step-by-step explanation:

The equation of the parabola in vertex form and whose axis of symmetry is vertical is described by this formula:

[tex]y - k = C\cdot (x-h)^{2}[/tex] (1)

Where:

[tex]x[/tex] - Independent variable.

[tex]y[/tex] - Dependent variable.

[tex]C[/tex] - Vertex constant.

[tex]h, k[/tex] - Coordinates of the vertex.

By direct comparison, we find the following information:

[tex]h = 4[/tex], [tex]k = 4[/tex], [tex]C = 2[/tex]

Vertex

The vertex is a point of the parabola so that [tex](x,y) = (h, k)[/tex].

If we know that [tex]h = 4[/tex] and [tex]k = 4[/tex], then the coordinates of the vertex are [tex](x,y) = (4,4)[/tex].

Axis of symmetry

The axis of symmetry is a line of the form [tex]x = h[/tex].

If we know that [tex]h = 4[/tex], then the axis of symmetry is [tex]x = 4[/tex].

To find the x and y intercepts, we need to transform the equation of the parabola into its standards, which is a second grade polynomial:

[tex]y - k = C\cdot (x-h)^{2}[/tex]

[tex]y - k = C\cdot (x^{2}-2\cdot h\cdot x +h^{2})[/tex]

[tex]y = C\cdot x^{2} -2\cdot C\cdot h \cdot x + (C\cdot h^{2}+k)[/tex]

If we know that [tex]h = 4[/tex], [tex]k = 4[/tex] and [tex]C = 2[/tex], then the equation of the parabola in standard form is:

[tex]y = 2\cdot x^{2}-16\cdot x + 36[/tex]

x-Intercepts

The x-intercepts of the polynomial (if exist) can be found by the Quadratic Formula:

[tex]x_{1,2} = \frac{16\pm \sqrt{(-16)^{2}-4\cdot 2\cdot (36)}}{4}[/tex]

[tex]x_{1,2} = 4 \pm \frac{\sqrt{-32}}{4}[/tex]

[tex]x_{1,2} = 4 \pm i \,\frac{4\sqrt{2}}{4}[/tex]

[tex]x_{1,2} = 4 \pm i\,\sqrt{2}[/tex]

As both roots are conjugated complex numbers, there are no x-intercepts.

y-Intercepts

The y-intercept (if exists) can be found by evaluating the polynomial at [tex]x = 0[/tex]:

[tex]y = 2\cdot 0^{2} - 16\cdot 0 + 36[/tex]

[tex]y = 36[/tex]

The y-intercept is [tex](x,y) = (0, 36)[/tex].

Lastly, we proceed to plot the function by using graphing tools.