2a²-2ab-3b²+9 when a=3 and b=2​

Answers

Answer 1
a=3,b=2

[tex]\\ \sf\longmapsto 2a^2-2ab-3b^2-9[/tex]

[tex]\\ \sf\longmapsto 2(3)^2-2(3)(2)-3(2)^2-9[/tex]

[tex]\\ \sf\longmapsto 2(9)-12-3(4)-9[/tex]

[tex]\\ \sf\longmapsto 18-12-12-9[/tex]

[tex]\\ \sf\longmapsto 6-18[/tex]

[tex]\\ \sf\longmapsto -12[/tex]

Answer 2

Answer:

3

Step-by-step explanation:

2(3)^2 - 2(3)(2) - 3(2)^2 + 9

2(9) - 12 - 3(4) + 9

18 - 12 - 12 + 9

= 3

Answer from Gauth math


Related Questions

cos(2x) + 9cot(x)+5=0

Answers

Answer:

hbd chu DAI bi or something else true I have to do my area and technology and hi

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The grocery store sells kumquats for $3.75 a pound and Asian pears for $2.25 a pound. Write an equation in standard form for the weights of kumquats k and Asian pears p that a customer could buy with $14.

Answers

Answer:

3.75k + 2.25p = 14

Step-by-step explanation:

The cost from the weights of kumquats can be represented by 3.75k.

The cost from the weights of Asian pears can be represented by 2.25p.

Using the standard form equation, Ax + By = C, replace Ax and By with these terms.

Then, plug in 14 as C:

Ax + By = C

3.75k + 2.25p = 14

So, the equation is 3.75k + 2.25p = 14

what is the square root of 25 ​

Answers

the answer would be 5 because 5*5 or 5 squared (5^2) is equal to 25, hope this helps!

Answer:

5

Step-by-step explanation:

What does square root even mean?

A Square root of a number is a value that when multiplied by itself gives the number

Example: 4^2 = 16 so square root of 16 = 4

Determine a simplified expression for the shaded area

Answers

Answer:

4x^2-3x

Step-by-step explanation:

3x(2x+5) = 6x^2+15x

2x(x+9) = 2x^2+18x

(6x^2+15x)-(2x^2+18x) = 4x^2-3x

Answer:

11x

Step-by-step explanation:

Evaluate the following expressions. Let a = 5, b = -4, and c = 10.

12. ab =

13. b + c =

14. c/5 =

15. C - 5 =​

Answers

Answer: -20, 6, 2, 5

Step-by-step explanation:

a = 5, b = -4, c = 10

12. ab = 5(-4) = -20

13. b + c = -4 + 10 = 6

14. c/5 = 10/5 = 2

15. c - 5 = 10 - 5 = 5

A boy on top of a building observe that the angle of depression of a goat in horizontal ground is 47.if the goat is 23m away from the foot of the building,how high is the building,correct to the nearest meter? (ignore the height of the boy)​

Answers

Answer:

Step-by-step explanation:

tan 47° = opposite side /adjacent side

=>1.072 = AB/BC

=>1.072 × BC = AB(height of the building)

=>1.072 × 23 = h ( As assumed height of building is h )

h = 24.656

= 25 metres ( nearest metre )

Suppose you wanted to make an open-topped box out of a flat piece of cardboard that is 25 inches long
by 20 inches wide. You cut a square out of each corner, all the same size, then fold up the flaps to form
the box. If the box has a volume of 750 in), which could be the side length of the square that was cut
out of each corner?

Answers

Answer:

5 inches

Step-by-step explanation:

The side of the square you cut has length x.

The total length of the cardboard is 25". Once you cut the two corners, the length of the base of the box is 25 - 2x.

The total width of the cardboard is 20". Once you cut the two corners, the width of the base of the box is 20 - 2x.

The height of the box is x.

The volume of the box is

V = LWH

V = (25 - 2x)(20 - 2x)x

V = (2x - 25)(2x - 20)x

The volume is 750 cu in.

(2x - 25)(2x - 20)x = 750

Now try each value in the choices for x, and see which one works.

Try x = 3

(2(3) - 25)(2(3) - 20)(3) = (-19)(-14)(3) = 798

798 is not equal to 750, so x = 3 does not work.

Try x = 4

(2(4) - 25)(2(4) - 20)(4) = (-17)(-12)(4) = 816

816 is not equal to 750, so x = 4 does not work.

Try x = 5

(2(5) - 25)(2(5) - 20)(5) = (-15)(-10)(5) = 750

750 is equal to 750, so x = 5 does not work.

Answer: 5

the vertex of this parabola is at (2, -4) when the x value is 3 the y value is -1 what is the coefficient of the squared term in the parabolas equation

Answers

Answer: the answer is D

Step-by-step explanation:

can someone answer this

Answers

Answer:sadwer

Step-by-step explanation:

6- Nov 19 P1 #
Solve, using algebra, the equation
x-6x^1/2 + 4 = 0
Fully simplify your answers, writing them in the for a +bsqrroot c where a, b and c are
integers to be found.
(5)

Answers

Answer:

a=14

b=6

c=5

Step-by-step explanation:

[tex]x-6\sqrt{x} + 4 = 0[/tex]

[tex]x +4 =6\sqrt{x}[/tex]

[tex]x^2 + 8x + 16 = 36x[/tex]

[tex]x^2 - 28x + 16 = 0[/tex]

14 ±6[tex]\sqrt{5}[/tex]  

 

Answer:

A=14,B=6, C=5

Step-by-step explanation:

There is a bag with 50 popsicles inside. 5 are red, 15 are orange, 12 are blue, 8 are
yellow and 10 are purple. If you were to
grab one popsicle from the bag, what is
the probability that it is red or not orange?
P(red or not orange)

Answers

I think the probability is 5 out of 45.

adhiambos entertainment hall has a rectangular floor measuring 30m by 24m ,she wants to cover it with square tiles. each tile has a surface area of 900cm. the tiles are packed in cartons each containing ten tiles. How many cartons of tiles does she require?

Answers

1 meter = 100 cm

Convert the dimensions of the room to cm:

30m x 100 = 3000 cm

24 m x 100 = 2400 cm

Area of floor = 3000 x 2400 = 7,200,000 square cm

Find number of tiles by dividing area of room by area of a tile:

7,200,00 / 9000 = 800

They will need 800 tiles

800 tiles / 10 tiles per carton = 80

They will need 80 cartons

Use The Table To Find The Values Of a, b, c And d :

Answers

Answer: I don’t know

Factorise:
What is the answer for 3x²+ 11xy + 6y²​

Answers

Answer:

(3x+2y)(x+3y)

Step-by-step explanation:

First:

(3x²+ 2xy) + (9xy + 6y²​)

then:

x(3x+2y) + 3y (3x+2y)

s0:

(3x+2y)(x+3y)

-2b^2-18b^2
Help me. Plz

Answers

Answer:

[tex]{ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}} [/tex]

multiply 3/7 by the reciprocal of -3/14​

Answers

Multiplying 3/7 by the reciprocal of -3/14,

[tex] \frac{3}{7} \times \frac{14}{ - 3} \\ = \frac{1}{1} \times \frac{2}{ - 1} \\ = \frac{2}{ - 1} \\ = - 2[/tex]

Hope it helps!!

Which expression is equivalent to the given expression?

Answers

Answer:C

Step-by-step explanation:

a^0=1 so youre left with 6ab/b8

then,

6a•b^(1-8)

6a•b^-7

therefore, 6a/b^7 is the answer

Two factory plants are making TV panels. Yesterday, Plant A produced 8000 panels. Four percent of the panels from Plant A and 1% of the panels from Plant B were defective. How many panels did Plant B produce, if the overall percentage of defective panels from the two plants was 2%?

Answers

Answer:

The answer is "16,000"

Step-by-step explanation:

In this question the amounts of panels created by B the x.

[tex]\therefore[/tex]

Calculating the amounts of defective panels from B:

[tex]\to \frac{1}{100} \times x = 0.01x[/tex]

Calculating the amounts of defective panels from A:

[tex]\to \frac{4}{100} \times 8000 = 320[/tex]

Calculating the total defective panels are :

[tex]\to 320+ 0.01x[/tex]

Calculating the total panels manufactured:

[tex]\to 8000 + x[/tex]

when the overall percentage of the defective panels is [tex]2\%[/tex]

[tex]\to \frac{(320 + 0.01x)}{(8000 + x)} = 0.02\\\\\to (320 + 0.01x) = 0.02 (8000 + x)\\\\\to 320 + 0.01x = 160 + 0.02x\\\\\to 320 -160 = -0.01x + 0.02x\\\to 160 = 0.01x\\\\\to x=\frac{160}{0.01}\\\\\to x=16,000\\\\[/tex]

Solve for x. Round to the nearest tenth, if necessary. 1.8 & x

Answers

Answer:

x ≈ 1.4

Step-by-step explanation:

Using the sine ratio in the right triangle

sin50° = [tex]\frac{opposite}{hypotenuse}[/tex] = [tex]\frac{RS}{RT}[/tex] = [tex]\frac{x}{1.8}[/tex] ( multiply both sides by 1.8 )

1.8 × sin50° = x , then

x ≈ 1.4 ( to the nearest tenth )

if we put a marble in 10 ml of water how can we find its volume
please answer
i will mark brainliest

Answers

Answer: See below

Step-by-step explanation:

This relates to the usage of water displacement.

Have the 10 ml of water ready in a measuring flask (or any container that has a scale)Put the marble into the waterObserve how much did the water riseSubtract the current water level by the original 10 mlThe final answer would be the volume.

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

EXTRA (Only for advanced purposes, if you do not understand, it is totally fine)

Refer to the attachment below to finish the question.

Assuming the water levels are integer,

The original water level is 13.33 mlAfter the rock is put in, the water level is raised to 30 ml

Then, we do the fourth step which is subtraction

30 - 13.33 = 16.66 ml

Hope this helps!! :)

Please let me know if you have any quesitons

Which is the graph of f(x) = 3 (2/3)x ?

Answers

Step-by-step explanation:

.....................

For each 90 mm of coloured fabric Paul uses to make his curtains, he also uses 10 cm of white fabric. Express the amount of white fabric to coloured fabric as a ratio in its simplest form.

Answers

Answer:

10:9

Step-by-step explanation:

Convert 90 mm into cm which is 9cm so,

therefore it would be 10:9

F(x)=4^x+12x and g(x) = 5x-1 find (f+g)(x)

Answers

Answer:

[tex](f+g)(x)=f(x)+g(x)=4^{x} +12x+5x-1=4^{x}+17x-1[/tex]

Answer:

4^x +17x -1

Step-by-step explanation:

F(x)=4^x+12x

g(x) = 5x-1

(f+g)(x)= 4^x +12x + 5x-1

Combine like terms

     = 4^x +17x -1

If anyone knows the answer plz tell me, thank you

Answers

Answer:

A

Step-by-step explanation:

plug it in

(-3)^2+(4)^2=9+16=25

Answer:

[tex]\text{A) }x^2+y^2=25[/tex]

Step-by-step explanation:

The equation of a circle with center [tex](h, k)[/tex] and radius [tex]r[/tex] is given by:

[tex](x-h)^2+(y-k)^2=r^2[/tex].

We're given:

The circle's center is at the origin (0, 0)The point (-3, 4) is on the circle

Since we're given the circle's center, we just need to find the radius. Because the center of the circle is at (0, 0), the radius will be equal to the distance from (-3, 4) and (0, 0).

For points [tex](x_1, x_2)[/tex] and [tex](x_2, y_2)[/tex], the distance between them is given by the formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

Let:

[tex](x_1, y_1)\implies (0, 0)\\(x_2, y_2)\implies (-3, 4)[/tex]

The distance between these two points must be:

[tex]d=\sqrt{(-3-0)^2+(4-0)^2},\\d=\sqrt{9+16},\\d=\sqrt{25},\\d=5[/tex]

Therefore, the radius of the circle is 5 and the equation of the circle is:

[tex](x-0)^2+(y-0)^2=5^2,\\\boxed{x^2+y^2=25}[/tex]

WHICH ONE IS A UNIT RATE?
And why
$1.25
1 slice
$10.00
8 slices

Answers

$1.25 for 1 slice is the unit rate because a unit rate is the measure of a single unit, which in this case is 1 slice.

Answer:

$1.25 for one slice  is the uint rate  is the measure B

Step-by-step explanation:

matematicas
[tex]6. \binom{ \sqrt{3} }{2} - ( - 2.5 )= [/tex]

Answers

Answer:

3.36602540378

Step-by-step explanation:

The way I read the question, the unknown in the first set of parenthesis is a fraction. If I am wrong, please correct me so my answers are better in the future.

This is the answer.

Can someone please help me solve this problem

Answers

Step-by-step explanation:

Step 1:  After adding 875 to both sides of the original equation, you get

[tex]x^2+10x+\text{ ----- }=875[/tex]

Step 2: b is the coefficient of the x term, so b = 10.  Divide in half (always half for completing the square!).

[tex]\frac{10}{2}=5[/tex]

Square that result to get 25.  That's c, the amount to add to both sides of the equation.

Step 3:  Adding c to both sides produces

[tex]x^2+10x+25=875+25[/tex]

Step 4: The result of Step 3 is [tex]x^2+10x+25=900[/tex], and the left side factors as a perfect square.

[tex](x+5)^2=900[/tex]

Step 5: After taking square roots of both sides, you get

[tex]x+5=\pm 30[/tex]  which represents "two equations in one."

Separate them.

[tex]x+5=30 \text{ or } x+5 =-30\\x=25 \text{ or } x=-35[/tex]

what is the solution to this equation?
3x+x-13+4-6x=12


A. x= -21/2
B. x= 21/2
C. x= 3/2
D. x= -3/2

Answers

Answer:

A.

Step-by-step explanation:

3x + x - 13 + 4 - 6x = 12

we try to combine the elements with the same power of x (including the ones without any x) :

3x + x - 6x

-13 + 4

so, we get

-2x - 9 = 12

-2x = 21

x = -21/2

Answer:

A

Step-by-step explanation:

group the like terms

3x+x-6x-13+4=12

-2x=12+9

divide both sides by -2

-2x/-2=21/-2

x= -21/2

hope it helps

Find the missing side lengths

Answers

Answer:

[tex]Sin \: 60=\frac{\sqrt{3} }{u}[/tex]

[tex]u=\sqrt{3} /sin\:60[/tex]

[tex]u=\sqrt{3} /\sqrt{3} /2[/tex]

[tex]u=2[/tex]

..........................[tex]Cos\: 60=\frac{v}{2}[/tex][tex]v=2\: cos\:60[/tex][tex]v=2(\frac{1}{2})[/tex][tex]v=1[/tex]

OAmalOHopeO

using the graph, determine the coordinates of the roots of the parabola​

Answers

Answer:

x = 1, x = 7

Step-by-step explanation:

The roots are the values of x where the graph crosses the x- axis

The graph crosses the x- axis at 1 and 7 , then

the roots are x = 1, x = 7

Answer:

(1,0) and (7,0)

Step-by-step explanation:

Roots are also known as the zeroes, or x-intercepts. This is where the line crosses the x axis, here it crosses where x is 1 and where x is 7.

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