Chapter 6 Introduction to Variables and Evaluating Expression
Mathematics, Algebra 1
Question 1
Simplify: -2s - 9+7 - 5r use s = 3 and r= -8

Answer:

1/3x3 3/4  /2.5 = 0.3

f(x) times g(x) = 8x^2+8x-6

(2x-1) times (4x+6) = 8x^2+8x-6

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Explanation:

The functions f(x) and g(x) are linear functions. The result of f(x) ___ g(x) is some quadratic function.

It's very likely that the answer is a multiplication sign because of the general template of

(linear)*(linear) = (quadratic)

For example, x*3x = 3x^2.

Let's see if the two functions multiply out to 8x^2+8x-6 or not.

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

f(x) * g(x) = ( f(x) ) * ( g(x) )

f(x) * g(x) = ( 2x-1 ) * ( 4x+6 )

f(x) * g(x) = y * ( 4x+6 ) ......... let y = 2x-1

f(x) * g(x) = 4xy + 6y   ......... distribute

f(x) * g(x) = 4x( y ) + 6( y )

f(x) * g(x) = 4x( 2x-1 ) + 6( 2x-1 ) .... replace y with 2x-1

f(x) * g(x) = 8x^2-4x  + 12x-6  .... distribute twice more

f(x) * g(x) = 8x^2+8x-6

We end up getting the correct result. So this confirms that a multiplication sign is needed to fill in the blank.

Answer:

B

Step-by-step explanation:

the graph is completely proportional so the answer would be 1

Answer: The answer is 1:2, i hope it helps.

Answer:

6n + 12

Step-by-step explanation:

Given an integer n, the 3 consecutive even integers greater than 2n are 2n+2, 2n+4 and 2n+6

Taking their sum;

Sum = (2n+2)+(2n+4)+(2n+6)

Sum = 2n+2n+2n+2+4+6

Sum = 6n + 12

Hence the sum of the 3 consecutive even integers greater than 2n is 6n+12

Answer:

i would think it would be the same as angle bcd so 90

Step-by-step explanation:

Answer:

3*1/2= 3/2

Step-by-step explanation:

[tex]\frac{3}{1}[/tex]*[tex]\frac{1}{2}[/tex] = 3/2

3*1/2= 3/2

3 is equal to 3/1

we then directly multiply

equation: (3/1)(1/2)

(3/1)(1/2)

3*1 = 3

1*2= 2

3/2 or 1 1/2.

Decimals can be written in fraction form. To convert a decimal to a fraction, place the decimal number over its place value. For example, in 0.6, the six is in the tenth place, so we place 6 over 10 to create the equivalent fraction, 6/10.

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Answer:

520=20x+234

15 packages

Step-by-step explanation:

520-234

286

286/20

14.3, so she needs 15 packages

Answer:

O.75

Step-by-step explanation:

The value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.

In mathematics, integer exponents are exponents that should be integers. It may be a positive or negative number. In this situation, the positive integer exponents determine the number of times the base number should be multiplied by itself.

We have an equation:

[tex]\rm 1.5(4)^2^x=12[/tex]

[tex]\rm (4)^2^x=8[/tex]

[tex]\rm (2^2)^{2x}= 2^3[/tex]

[tex]\rm 2^{4x}=2^3[/tex]

4x = 3  (equating powers of same base)

x = 3/4

Thus, the value of x in the equation 1.5(4)^2x is equal to 12 is 3/4 after equation the power of same base.

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Answer:

After harvesting, she weighs each pumpkin on a scale and records its height

Answer:

5/9??? I think thats the answer

Answer:

90-degree clockwise rotation: (x,y)⇒(y,-x)

Step-by-step explanation:

For D⇒D', (0,-3)⇒(-3,0)

For E⇒E', (2,-1)⇒(-1,-2)

For F⇒F', (5,-3)⇒(-3,5)

We can see that the pattern here is (x,y)⇒(y,-x), which is the rule for a 90-degree clockwise rotation.

Answer:

9 inches

Step-by-step explanation:

9 times 6=54

Answer: C

Step-by-step explanation: 5pi converts to 15.70796

Answer:

slightly less than 15 of b.

Answer:

$7.50

Step-by-step explanation:

you add 40.50 + 4.50 which then equals 45 and you divide that by 6 and you get 7.50

One ticket costs $7.50 without the coupon this we obtained by dividing total cost before discount  by Number of tickets

Let us find the total cost of the tickets before the coupon is applied. We can do this by adding the discount amount ($4.50) to the final cost ($40.50):

Total cost before discount = Final cost + Discount amount

Total cost before discount = $40.50 + $4.50

Total cost before discount = $45.00

Now we can divide the total cost before discount by the number of tickets

(6) to find the cost of one ticket:

Cost of one ticket = Total cost before discount / Number of tickets

Cost of one ticket = $45.00 / 6

Cost of one ticket = $7.50

Therefore, one ticket costs $7.50 without the coupon.

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Answer:

(-1,10)

Step-by-step explanation:

At the point when the paths cross, the respective x and y values of each equation will be equal.

Your path is y=2x+12, and your friends path is 4x+y=6. Sub 2x+12 in for y (from your path's equation) into your friends equation to find the value of x:

4x+2x+12=6

6x=-6

x=-1

y=2x+12

y=2(-1)+12=10

So you will cross paths at (-1,10)

Answer:

216 cm²

Step-by-step explanation:

Area of ∆ACD = ½*CD*CA

CD = 24 cm

CA = ?

Use pythagorean theorem to find CA.

Thus:

CA² = AB² + BC²

Substitute

CA² = 10.8² + 14.4² = 324

CA = √324

CA = 18 cm

Area of ∆ACD = ½*CD*CA

Substitute

Area = ½*24*18

= 216 cm²

Answer:

(4000 in^2) * (1 ft/12 in)^2 = 27 7/9 ft^2

Step-by-step explanation:

4,000 Square Inches =

27.777778 Square Feet

Answer:rf JAMES CHARLE's?!?

Step-by-step explanation:

Answer:

[tex]P(3\ or\ c) = 0.45[/tex]

Step-by-step explanation:

Given

See attachment for spinner

Required

[tex]P(3\ or\ c)[/tex]

From the first spinner, we have:

[tex]S = \{1,2,3,4,5\}[/tex] --- Sample Space

[tex]n(S)=5[/tex]

So, P(3) is:

[tex]P(3) = \frac{n(3)}{n(S)}[/tex]

[tex]P(3) = \frac{1}{5}[/tex]

[tex]P(3) = 0.20[/tex]

From the second spinner, we have:

[tex]S = \{a,b,c,d\}[/tex]

[tex]n(S) = 4[/tex]

So, P(c) is:

[tex]P(c) = \frac{n(c)}{n(S)}[/tex]

[tex]P(c) = \frac{1}{4}[/tex]

[tex]P(c) = 0.25[/tex]

The required probability is then calculated as:

[tex]P(3\ or\ c) = P(3) + P(c)[/tex]

[tex]P(3\ or\ c) = 0.20 + 0.25[/tex]

[tex]P(3\ or\ c) = 0.45[/tex]

Respuesta:

30

Explicación paso a paso:

Número total de preguntas = 100%

Número de preguntas correctas = 27

Porcentaje de aciertos = 90%

Por eso,

Si 90% = 27

Luego ; 100% = x

Multiplicar en cruz:

0,9 veces = 27

x = 27 / 0,9

x = 30

Número de preguntas = 30

Answer:for the permieter dont you just add both sides?

Step-by-step explanation:

Answer:

Missing number = 3

Step-by-step explanation:

Let [tex]x[/tex] be the missing number. We have the following:

[tex]7\cdot (6+x)=63,\\6+x=9,\\x=\boxed{3}[/tex]

Answer:

48

Step-by-step explanation:

Substitute c=6 and d=3 in your formulas

[tex]5*6 + 2*3^{2}\\ 30 + 18\\48[/tex]

Answer:

Outside, as the distance between the point and the center of the circle is more than the radius.

Step-by-step explanation:

Equation of a circle:

The equation of a circle has the following format:

[tex](x-x_0)^2 + (y-y_0)^2 = r^2[/tex]

In which [tex](x_0,y_0)[/tex] is the center and r is the radius.

Testing if a point is inside the circle:

Point (x,y), we replace in the equation. If it is less than the radius squared(in this case, 62), it is in.

In this question:

Point (-3,-5). So

[tex](-3+7)^2 + (-5-2)^2 = 4^2 + (-7)^2 = 16 + 49 = 65[/tex]

The square distance of the point to the center is of 65, which is more than the square of the radius, meaning that the point is outside the circle.

Answer:

Outside

Step-by-step explanation:

Given:

The polynomial is:

[tex]P(x)=ax+b[/tex]

To find:

Whether [tex]x=-\dfrac{b}{a}[/tex] is a zero of the given polynomial or not.

Solution:

We have,

[tex]P(x)=ax+b[/tex]

Putting [tex]x=-\dfrac{b}{a}[/tex], we get

[tex]P(-\dfrac{b}{a})=a(-\dfrac{b}{a})+b[/tex]

[tex]P(-\dfrac{b}{a})=-b+b[/tex]

[tex]P(-\dfrac{b}{a})=0[/tex]

Since the value of the given polynomial is 0 at [tex]x=-\dfrac{b}{a}[/tex], therefore [tex]x=-\dfrac{b}{a}[/tex] is a zero of the given polynomial.