Let the polynomials A = 7x² + 3xy e B = -3xy.
Determine A + B

a) 7x²
b) 3xy
c) 7x² + 6xy
d) 14x² + 6xy
e) -3xy

Answer:

x + 6

Step-by-step explanation:

(f ÷ g)(x)

= [tex]\frac{x^2+9x+18}{x+3}[/tex] factorise the numerator

= [tex]\frac{(x+3)(x+6)}{x+3}[/tex] ← cancel the factor (x + 3) on numerator/ denominator

= x + 6

Answer:

f(x)/g(x) = x - 6 + (2x+3)/(2x^2+5)

Quotient = x - 6

Remainder = (2x+3)/(2x^2+5)

Step-by-step explanation:

Getting x-6:

What number multiplies with 2x²+5 to get 2x³+...?

that number is x, so that's your first number. You multiply it with 2x²+5 and subtract it like how you would do divison by hand back in elementary school.

Now what number multiplies with 2x²+5 to get -12x²+ ...?

that number would be 6, so that's your second number. Multiply 2x²+5 with 6 and subtract it from -12x²+ ....

Now you have 2x+3. What number multiplies with 2x²+5 to get 2x+3? That number doesnt exist so 2x+3 is your remainder.

Answer:

125.5 cm²

Step-by-step explanation:

At = A(rectangle) + A(trapeze)

= A = L×W + (b + B)×h/2

= 6.1cm×5cm + (6.1cm + 12.9cm)×10cm/2

= 30.5 cm² + 19cm×5cm

= 30.5 cm² + 95 cm²

= 125.5 cm²

al3xis

Answer:

the circle has one point even if it is a concentric circle it will have one central point or it needs more collections of the circle at equidistance

Answer:

The circle would look like the image attached

Step-by-step explanation:

Answer:

A. 4 hours

Step-by-step explanation:

100 divided by 25

Answer:

I would love to  help but i dont know pounds so i will try to help in dollars then convert into pounds

lol :) just wait

Step-by-step explanation:

Answer:

12.94 gallons/week

Step-by-step explanation:

44x5=220

220/17=12.94

Answer:

13 gallons

Step-by-step explanation:

44 miles x 5 days = 220 miles

220 miles / 17mpg = 12.9

12.9 rounded up is 13

Final Answer is 13 gallons

Answer:

x ≤ 2

Step-by-step explanation:

2 red rose cost  $ 18

x flowers cost $ 11x

"At most "  means ≤.

11x + 18 ≤ 40

11x ≤ 40 - 18

11x ≤ 22

x ≤ 2

Using inequality we know that Amanda can purchase 2 lily flowers.

So, the inequality can be:

Now, the inequality will be:

Let, the number of lilies is x and Amanda purchases 2 lilies:

Therefore, using inequality we know that Amanda can purchase 2 lily flowers.

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Answer:

$1.19

Step-by-step explanation:

Let the cost of a cheeseburger be $b and that of a chicken nugget be $n.

From the given information, we can form 2 equations.

9b +4n= 22.37 -----(1)

3b +4n= 15.23 -----(2)

Notice that the 2 equations have '4n' in them. I'll be using elimination method to solve the equation by getting rid of the 4n.

(1) -(2):

9b +4n -(3b +4n)= 22.37 -15.23

9b +4n -3b -4n= 7.14

6b= 7.14 (simplify)

b= 7.14 ÷6 (÷6 on both sides)

b= 1.19

Thus, a cheeseburger cost $1.19.

Answer:

Step-by-step explanation

1.19

Answer:  d) none of the above

Step-by-step explanation:

Start at Black Triangle: B = (0, -4)   C = (4, -1)   D = (2, -5)

End up at Red Triangle: B = (2, 0)  C = (-2, 3)   D = (0, -1)

Rotation of 180°: (x, y) → (-x, -y)

Reflection across y-axis: (x, y) → ( -x, y)

Reflection across x-axis: (x, y) → (x, -y)

Reflection across x=1: (x, y) → (2 - x, y)

[tex]a) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across y-axis}\\B:\ (0, -4)&(0, 4)&(0,4)\\C: (4, -1)&(-4,1)&(4,1)\\D: (2, -5)&(-2,5)&(2,5)\end{array}[/tex]

[tex]b) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x = 1}\\B:\ (0, -4)&(0, 4)&(2,4)\\C: (4, -1)&(-4,1)&(6,1)\\D: (2, -5)&(-2,5)&(4,5)\end{array}[/tex]

[tex]c) \\\begin{array}{ccc}\qquad \text{(x, y)}&\text{Rotate 180}^o&\text{reflect across x-axis}\\B:\ (0, -4)&(0, 4)&(0,-4)\\C: (4, -1)&(-4,1)&(-4,-1)\\D: (2, -5)&(-2,5)&(-2,-5)\end{array}[/tex]

None of the given options transform the black triangle onto the red triangle.

Answer:

[tex]m(7m + 13)[/tex]

Step-by-step explanation:

[tex]7m {}^{2} + 13m \\ m(7m + 13)[/tex]

Answer:

7.) (m+4)(m-16)

8.) Area= 3x^3-5x^2+7x+3

Step-by-step explanation:

7.) m^2-12m-64

=(m^2+4m)+(-16m-64)

=m(m+4)-16(m+4)

=(m+4)(m-16)

8.) Area = L(W)

x^2-2x+3(3x+1)

=x^2(3x)+x^2(1)+(-2x)(3x)+(-2x)(1)+3(3x)+3(1)

=3x^3+x^2-6x^2-2x+9x+3

=3x^3-5x^2-2x+9x+3

=3x^3-5x^2+7x+3

Answer:

0.12 miles per minute

Step-by-step explanation:

9/75 is 0.12. 9 miles in 75 minutes

Average speed of Jacob is 0.12 miles per minute.

Unitary method is a method of finding value of a single unit.After finding value of a single unit we can determine values of any given unit.

According to the given question Jacob can run 9 miles in 1 hour and

15 minutes.

We know 1 hour is 60 minutes.

∴ 1 hour and 15 minutes is

= (60 + 15) minutes.

= 75 minutes.

So, Jacob can run 9 miles in 75 minutes.

∴ In one minute Jacob can run 9/75 miles shich is

= 0.12 miles per minute.

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Answer:jss needed point srry

Step-by-step explanation:

Answer:

Federal tax amount = $18,425

Step-by-step explanation:

Given:

Total sales amount = $335,000

Federal tax rate = 5.5%

Find:

Federal tax amount = ?

Computation:

⇒ Federal tax amount = Total sales amount × Federal tax rate

⇒ Federal tax amount = $335,000 × 5.5%

⇒ Federal tax amount = $335,000 × 0.055

⇒ Federal tax amount = $18,425

Therefore, total amount of federal tax owed is $18,425

Answer:

+15 degrees

Step-by-step explanation:

-3

-2

-1

0

1

2

3

4

5

6

7

8

9

10

11

12

Answer:

2) r=73

Step-by-step explanation:

all 4 sided shapes add up to 360.

so 90+90=180

180+107=287

360-287=73

so r=73

Answer:

a=15

Step-by-step explanation:

[tex]a^{2} =9*25\\a^{2} =225\\\\\sqrt{a} =\sqrt{222\\a=15[/tex]

Hope it helps

Answer:

y = 5(2)ˣ

Step-by-step explanation:

numbers are doubled for y as x is changing by 1

it indicates exponential growth with y intercept 5 and rate 2:  y = 5(2)ˣ

Answer: THE ANSWER IS -1/36

Step by step: Find the LCD then combine

The answer is : -1/36

You forgot the 1 for 18 in the last question lol

Hope this helps, pls mark as brainliest :))))

Answer:

0.125 m²

Step-by-step explanation:

The area of a rectangle is the product of its length and breadth. Therefore:

area of the rectangle = length (l) × breadth (b) = 1 m².

l × b = 1

A triangle is cut off from that rectangle along a line connecting the midpoints of two adjacent sides, therefore the base of the triangle = length of rectangle/2 and the height of triangle = breadth of rectangle/2.

Area of triangle = 1/2(base × height) = [tex]\frac{1}{2}*\frac{l}{2}*\frac{b}{2}=\frac{1}{8}lb[/tex]

since lb = 1:

Area of triangle = [tex]\frac{1}{8}*1=0.125m^2[/tex]

Answer:

$104

Step-by-step explanation:

First, convert 60% to a decimal.

60% = 0.6

Now, multiply the cost to buy the camera ($65) by the decimal.

$65 × 0.6 = $39

Now, add this amount to the amount it cost to buy the camera.

$65 + $39 = $104

The selling price for the camera will be $104.

Answer:

The answer is $104

Answer:

[tex]y = \frac{4}{3} x[/tex]

Step-by-step explanation:

Perpendicular = m1*m2 = -1

[tex]-\frac{3}{4}*\frac{4}{3} = -1[/tex]

[tex]y = \frac{4}{3} x +b[/tex]

[tex]12 = \frac{4}{3}(9)+b\\12 = 12 + b\\b = 0\\y = \frac{4}{3} x+0\\y = \frac{4}{3} x[/tex]

The equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

Given that, the equation of a line [tex]y=\frac{-3}{4}x+1[/tex] and the coordinate point (9, 12).

Slope of a perpendicular line can be computed from the slope of a given line. The product of the slope of a given line and the slope of the perpendicular line is equal to -1. If the slope of a line is m1 and the slope of the perpendicular line is m2, then we have m1.m2 = -1.

From the given equation of a line slope m1=-3/4

The slope perpendicular to equation of line m2 = -1/m1 = 4/3

Now, substitute m=4/3 and (9, 12) in y=mx+c and solve for c.

That is, [tex]12=\frac{4}{3} \times 9 +c[/tex]

⇒ c=0

Put c=0 and m=4/3 in y=mx+c, we get

[tex]y=\frac{4}{3}x[/tex]

Therefore, the equation of the line perpendicular to the given line is [tex]y=\frac{4}{3}x[/tex].

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Answer:

I believe it’s 2,197 possibilities because there are 13 students and 3 tasks, so you multiply 3 13’s together

13 * 13 * 13 = 2,197

Answer:

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 0.93 = 93%

Step-by-step explanation:

Let 'V' be the event of  rain in Vancouver

Given that the probability of rain in Vancouver

             P( V) = 20% = 0.20

             P( V⁻) = 1- P( V) = 1 - 0.20 =0.80

Let 'C' be the event of  rain in Calgary

Given that the probability of rain in Calgary

             P( C) = 65% = 0.65

            P( C⁻) = 1- P( C) = 1 - 0.65 =0.35

Let 'S' be the event of  rain in Saskatoon

Given that the probability of rain in Saskatoon

             P( S) = 75% = 0.75

             P( S⁻) = 1- P( S) = 1 - 0.75 =0.25

First we will prove that the probability that it will not rain in all 3 cities on that day

P( V⁻ ∩  C⁻ ∩  S⁻  ) =  P( V⁻) P( C⁻) P(S⁻)

                              =  0.80 × 0.35 × 0.25

                             = 0.07

The probability that it will  rain in all 3 cities on that day

P(V∪ C∪S) = 1-(P( V⁻ ∩  C⁻ ∩  S⁻  )

                   = 1 - 0.07

                  = 0.93

Answer:

[tex]P=0.0625[/tex]

Step-by-step explanation:

The probability of getting one tails is a half.

The probability of getting another tails given you had a tails is:

[tex]\frac{1}{2}*\frac{1}{2}=(\frac{1}{2})^2=\frac{1}{4}[/tex]

The probability of getting n tails in general is given by:

[tex](\frac{1}{2})^n = \frac{1}{2^n}[/tex]

So, when we have four tails - our value for n is four.

[tex](\frac{1}{2})^4=\frac{1}{2^4}=\frac{1}{16}=0.0625[/tex]

Answer:

50 oranges

Step-by-step explanation:

Convert the measurements for them to be the same ie 4kg to g

1kg=1000g. 4kgx1000=4000g

4000g is the mass of all oranges

1 orange=80g

? =4000g that is 4000/80

=50 oranges

Answer:

50 oranges

Step-by-step explanation:

Since each orange is measured in grams, we convert the 4 kg to g to start.

4 kg is equal to 4000 g.

Each orange weighs 80 g, so we divide 80g into 4000g.

80 divided by 4000 equals 50.

50 oranges are in the box.

I Hope This Helps!

Answer:

Given: An Isosceles Triangle ABC with a vertex at B.

Midpoint M of the base AC.

To Prove: BM is perpendicular to AC.  

Proof:

Let the coordinates of the points of the isosceles triangle be given as:

A =  (-k, 0)

Vertex, B =  (0,a)  

C = (k, 0)

Midpoint, M = (0,0)

Slope of the base segment, AC:

[tex]=\dfrac{dy}{dx} = \dfrac{0 - 0}{k - (-k)} = \dfrac{0}{2\cdot k}[/tex]

Slope of the base segment,  AC= [tex]\dfrac{0}{2\cdot k}=0[/tex]

Slope of the segment that joins the vertex angle of an isosceles triangle to the midpoint of its base, BM.

[tex]\text{Slope of BM =} \dfrac{0 - a}{0 - 0} = \dfrac{-a}{0}\\[/tex]

[tex]\text{Slope of BM = } \dfrac{-a}{0}[/tex]  = Undefined

Two lines are perpendicular if the gradient of one is a negative reciprocal of the other.

Since [tex]-\dfrac{a}{0}[/tex] is a negative reciprocal of 0 for arbitrary values of a, BM and AC are perpendicular.

This concludes the proof.