Expand and simplify 5(3y + 2) +6
​

Answer:

C is the right answer I think

Hello,

8(6x-7) <5(9x - 4)

48x - 56 < 45x - 20

48x - 45x < -20 + 56

3x < 36

x < 36/3

x < 12

The number of Apples that were in the given fruit salad is approximately; 2170 Apples.

We are given the ratio of apples to oranges as;

A:O = 31:11

Now, we are told that there are 2940 apples and oranges in total.

Thus, the fractions of apples and oranges of the total will be;

Apple fraction = 31/(31 + 11) = 31/42

Orange Fraction = 11/42

Thus;

Number of Apples = (31/42) * 2940

Number of Apples = 2170 Apples

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Answer: b and d

Step-by-step explanation:

Since the roots are x=2 and x=6, we can write the equation as

[tex]f(x)=a(x-2)(x-6)[/tex]

Substituting in the coordinates of the vertex,

[tex]-4=a(4-2)(4-6)\\\\-4=a(2)(-2)\\\\-4=-4a\\\\a=1[/tex]

So, the equation is [tex]f(x)=(x-2)(x-6)[/tex].

On expanding, we get [tex]f(x)=x^2 - 8x+12[/tex]

Answer:

-1468955

Step-by-step explanation:

please don't forget to write down the correct questions and formula.

find f(x) of g(x)

f(x)=2x+1 and g(x)=x²-7

F of G = 2(x²-7)+1

= 2x²-14+1

= 2x²-13

according to the question x=-1212

so there for f(x) of g(x)=2(-1212)²-13

=-1468955

Using translation concepts, the vertices of the rectangle after the translation about the origin by 180° will be as follows:

E'(-4,3), F'(7,-5) and G(-2,-8).

A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction in it's definition.

The rule for a rotation of 180º about the origin is:

(x,y) -> (-x,-y).

Hence, for triangle EFG, the vertices after the translation will be given as follows:

E'(-4,3), F'(7,-5) and G(-2,-8).

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Answer:

Step-by-step explanation:

Answer: He receives a monthly salary of $1,478.00 and a $249.00 commission on each policy he sells. If Carson receives his commission check at the end of the month ...

Step-by-step explanation:

The x-intercepts of the given quadratic function are -2 and 9.

What is a quadratic function?

A quadratic function is a function represented as, f(x) = ax2 + bx + c, with a, b, and c being integers and a not equal to zero. A parabolic curve represents the graph of a quadratic function.

A polynomial's highest degree reveals how many roots the polynomial has. The values for which the polynomial's numerical value is equal to zero are known as a polynomial's roots (also known as zeros of a polynomial). On a graph, the points where the polynomial's graph and the x-axis cross are the roots (x-intercepts).

Roots of the Quadratic Equation

Due to its degree of 2, a quadratic function can only have a maximum of two real roots. In order to find the roots of a quadratic equation, we equate its factors to 0. Thus, in this case, we have,

(x+2)*(x-9)=0

∴ x+2=0

⇒ x=-2

Similarly,

x-9=0

⇒ x=9

Hence, the x- intercepts of the given quadratic function come out to be -2 and 9.

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This is my answer i dont know you like it or not

Based on the geometric figures shown, the three collinear points are:

Collinear points can be defined as three or more points that all lie on the same straight line (single line). Based on the geometric figures shown in the image below, the three collinear points include:

Another name for line AB is line segment BA, AT, BT, TA, TB. Also, a line in plane Z is line segment AT or line l.

Based on the image shown, the intersection of planes Z and W is line segment AT.

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Answer:

Hope it helps you..............

that is my I hope it helps you

The two pairs of polar coordinates for the given point (3, -3) with 0° ≤ θ < 360° are (3√2, 135°) and (3√2, 315°).

A polar coordinate is a two-dimensional coordinate system, wherein each point on a plane is typically determined by a distance (r) from the pole (origin) and an angle (θ) from a reference direction (polar axis).

Next, we would determine the distance (r) and angle (θ) as follows:

r = √(3² + (-3)²)

r = √(9 + 9)

r = 3√2.

θ = tan⁻¹(-3/3)

θ = tan⁻¹(-1)

θ = 3π and 7π/4 (second and fourth quadrants).

Converting to degrees, we have:

θ = 135° and 315°.

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Complete Question:

Determine two pairs of polar coordinates for the point (3, -3) with 0° ≤ θ < 360°

Answer:

B) 0.60n+1.48n = 176.80

Step-by-step explanation:

0.60 for every spiral wire per book = 0.60*n

0.74 per chipboard cover, 2 needed for each book = 1.48 per book = 1.48*n

Put it together: 0.60n+1.48n = 176.80

Answer: 252

Step-by-step explanation:

base times height

Answer is :

Step-by-step explanation:

Length ( L ) = 12 m

Breadth ( B ) = 21 m

Area ( A ) = ?

By using formula ,

Area = Length × Breadth

Area = 12 × 21

Area = 252 #

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

Let's think that the whole beach is like a line track of length L.

We know that when Jill completes reaches the end (one complete run) Jack only completed half of it.

So in the time that jill covers the distance L, Jack covers a distance of L/2. So the ratio of their speeds is 2:1 (Jill's speed is double of Jack's speed).

At this point, Jill is on the end of the track and Jack is on the middle, so the distance between them is L/2.

Because of the ratios between the speeds, we know that when they meet again, Jill will have covered 2 thirds of that distance, and jack will cover the other third of that distance.

A third of that distance is:

(L/2)/3 = L/6

So, when they meet, Jack is at L/6 of the middle of the beach, which means that Jack is:

L/2 + L/6 = 3L/6 + L/6 = 4L/6 = 2L/3

Jack is at (2/3) of the length of the beach (measuring from the point where they started).

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Answer:

b, c, and e

Step-by-step explanation:

a. 3^9 = 3 × 3 × 3× 3 × 3 × 3 × 3 × 3 × 3

= 27 × 27 × 27 => 19683

b. 3^4 = 3 × 3 × 3 × 3

= 9 × 9 => 81

c. -9² =>  81

d. 9^9 = 9 × 9 ×  9 × 9 × 9 × 9 × 9 × 9 ×  9

= 729 × 729 × 729 =>  387420489

e. 81¹ => 81

b, c, and e are all equal to 81

⊱________________________________________________________⊰

Answer:

Step-by-step explanation:

[tex]\LARGE\begin{gathered}\sf{Evaluate \ All \ Expressions \ First} \\ \sf{ 3^9=19683} \\ \sf{ 3^4=81} \\ \sf{-9^2=81, \ or \ -81, \because} \\ \sf{there's \ a \ difference \ between (-9)^2 \ and \ -(9)^2} \\ \sf{(-9)^2=81 \ and -(9)^2=-81} \\ \sf{ 9^9=387,420,489} \\ \sf{0.81^1=0.81\end{gathered}[/tex]

Now, can you see the expressions that are equivalent?

⊰______________________________________________________⊱

The standard form expression that represents the amount of border material Jessica will need is 8c² + 24c - 6.

Fron the information given, Jessica is using polynomials to represent the dimensions.

The width is 4c² + 5x and the length is 7c - 3. The height is also represented as 2c + 6d.

Here, the standard form expression that represents the amount of border material Jessica will need is 8c² + 24c - 6.

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A line plot can be used as a data display for the distribution of test scores in math class. Thus, the option to choose is TRUE.

A line plot is a graph that shows data as checkmarks or dots across a number line, indicating the frequency of each value.

The test score in the math test will be discrete data with repeating frequencies. The score of every individual will moreover be a whole number.

The line plot, as we know, marks the dots across the number line, indicating frequency.

Thus, the scores in the math test can be displayed using a line plot, by indicating each type of mark on the line, and dots above those marks for the number of times the same marks occur.

Thus, the option to choose is true.

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The distance traveled by the center is equal to the distance traveled by the wheel 6.28m is traveled by the center.

Given: A wheel with a radius rolled in a straight line through one complete revolution on a flat horizontal surface.

To Find: How many meters did the center of the wheel travel horizontally from its starting location.

Solution:

consider the figure attached.

radius of wheel [tex]=1m[/tex]

Horizontal distance traveled by the wheel in one complete revolution

=circumference of the wheel

[tex]\\=2\pi r\\=2*3.14*1\\=6.28m[/tex]

Hence, the distance traveled by center is equal to the distance traveled by the wheel 6.28m is traveled by the center

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Answer:

ABF = 70

Step-by-step explanation:

Since angle EFD is 35, that means that angle AFB is also 35

Single BCD is 75, that means that angle BAF is also 75

Angles in a triangle add up to 180, thus:

75 + 35 + x = 180

x = 70

Answer:

a) 25% are bad

b) 75% are good

Step-by-step explanation:

We know that there are 300 oranges total and that 75 are bad. That means that the rest are good (implied).

300 - 75 = 225 good oranges.

So to find the percentage we have to take the selected amount divided by the total amount.

Bad Apples:                               Good Apples:

75 / 300 = 0.25                          225/300 = 0.75

However, that's a decimal or a number out of 1, we need a percent or a number out of 100. So we have to multiply both numbers by 100.

Bad Apples = 25%

Good Apples = 75%

Answer:

AB - Diameter

DA - Tangent

BC - Chord

OA - Radius

CAB - Inscribed Angle

Answer: A

Step-by-step explanation:

The y-intercept of f(x) is 3, so clearly we want a shift 5 units down.

The different routes are 479,001,600

The number of cities is given as:

n = 12

The cities are different.

So, the number of routes is:

Routes = 12!

Expand

Routes =12 * 11 * 10 * 9 * ..... * 1

Evaluate

Routes =479,001,600

Hence, the different routes are 479,001,600

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Answer:

30 - 10

Step-by-step explanation:

When you distribute, that means you multiply everything on the outside of the parentheses by everything on the inside.

5 (6-2)

is really

5*6 - 5*2

30 - 10

The transformation can be defined as the introduction of a new set of mathematical coordinates. The correct option is B.

The transformation can be defined as the introduction of a new set of mathematical coordinates that are declared to be different functions of the original coordinates.

As per the given description if the two rigid transformations are used to map ΔABC to ΔXYZ, and the first is a translation of vertex A to vertex X, then the second transformation will be A reflection across the line containing AC.

Hence, the correct option is B.

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Answer:

A   see  picture

Step-by-step explanation:

The area of the similar triangle named ∆DEF is; 4 square centimeters.

We are given that ∆ABC is similar to ∆DEF.

The perimeter of ∆ABC is five times the perimeter of ∆DEF.  Thus;

(Perimeter of ΔABC) = 5(Perimeter of ΔDEF)

Thus;

(Perimeter of ΔABC)/(Perimeter of ΔDEF) = 5

Thus, we can say that;

Scale factor, K = 5.

Since the area of ∆ABC is 100 square centimeters, Then;

(area of ∆ABC)/(area of ∆DEF) = K²

100/(area of ∆DEF) = 5² = 25.

(area of ∆DEF) = 100/25 = 4.

Thus, the area of ∆DEF is 4 square centimeters.

Complete Question is;

∆ABC is similar to ∆DEF. The perimeter of ∆ABC is five times the perimeter of ∆DEF. The area of ∆ABC is 100 square centimeters. The area of ∆DEF is square centimeters

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The graph that shows the solution to the system of equations is attached below.

The solution to a system of linear equations is the point where the two graphs intersect. The coordinates of that point is the solution.

Given the system as:

y = 2/3x + 1

y = -2/3x - 1

Add both together to eliminate x

2y = 0

y = 0

Substitute y = 0 into y = 2/3x + 1 to find x

0 = 2/3x + 1

-1 = 2/3x

-3 = 2x

-3/2 = x

x = -3/2

The solution is: (-3/2, 0) = (-1.5, 0).

Therefore, the graph that shows the solution will intersect at (-1.5, 0), which is shown in the image attached below.

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Answer:

c

Step-by-step explanation:

way simple