[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:
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
multiply 3/7 by the reciprocal of -3/14
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!!
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)
if we put a marble in 10 ml of water how can we find its volume
please answer
i will mark brainliest
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 mlThen, we do the fourth step which is subtraction
30 - 13.33 = 16.66 mlHope this helps!! :)
Please let me know if you have any quesitons
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)
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:
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)
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 )
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
Answer: the answer is D
Step-by-step explanation:
Can someone please help me solve this problem
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]
matematicas
[tex]6. \binom{ \sqrt{3} }{2} - ( - 2.5 )= [/tex]
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.
cos(2x) + 9cot(x)+5=0
Answer:
hbd chu DAI bi or something else true I have to do my area and technology and hi
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Solve for x. Round to the nearest tenth, if necessary. 1.8 & x
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 )
Factorise:
What is the answer for 3x²+ 11xy + 6y²
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)
Determine a simplified expression for the shaded area
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:
F(x)=4^x+12x and g(x) = 5x-1 find (f+g)(x)
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
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
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
WHICH ONE IS A UNIT RATE?
And why
$1.25
1 slice
$10.00
8 slices
Answer:
$1.25 for one slice is the uint rate is the measure B
Step-by-step explanation:
-2b^2-18b^2
Help me. Plz
Answer:
[tex]{ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}} [/tex]
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%?
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]
can someone answer this
Answer:sadwer
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 =
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
Which is the graph of f(x) = 3 (2/3)x ?
Step-by-step explanation:
.....................
Use The Table To Find The Values Of a, b, c And d :
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.
Answer:
10:9
Step-by-step explanation:
Convert 90 mm into cm which is 9cm so,
therefore it would be 10:9
using the graph, determine the coordinates of the roots of the parabola
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.
If anyone knows the answer plz tell me, thank you
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 circleSince 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]
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?
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
what is the square root of 25
the answer would be 5 because 5*5 or 5 squared (5^2) is equal to 25, hope this helps!
Find the missing side lengths
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
Which expression is equivalent to the given expression?
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
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?
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 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.
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
