Answer:
where m= slope m= -7/3
Step-by-step explanation:
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
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
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.
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
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!
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
NEED HELP ASAP I HAVE 3 MINS
Answer:
Step-by-step explanation:
System of a equation has no solution when both the lines are parallel.
In other words, if the equations of a system have equal slopes there will be no solution.
1). x + 4y = 23
4y = -x + 23
[tex]y=-\frac{1}{4}x+23[/tex] ------(1)
-3x = 12y + 1
12y = 3x - 1
[tex]y=\frac{1}{4}x-\frac{1}{12}[/tex] -------(2)
Since, both the equations have different slopes, system will have at least one solution.
2). 2x + 4y = 22 -----(1)
-x = 2y - 11
-x - 2y = -11
x + 2y = 11
2x + 4y = 22 ------(2)
Since, both the equations are same, there will be infinite number of solutions.
3). 2x + y = 15 ------(1)
x = 15 - 2y
x + 2y = 15 -----(2)
Both the equations are different, therefore system of equations will have at least one solution.
4). 2x + y = 17 ------(1)
-4x = 2y - 34
-4x - 2y = -34
2x + y = 17 -----(2)
Both the equations are different, therefore, system of equations will have infinite solutions.
5). 3y = 10 - x
x + 3y = 10
2x + 6y = 20 -------(1)
2x + 6y = 7 ---------(2)
Since, both the lines are parallel (Same slopes), system will have no solution.
6). y = 13 - 2x ------(1)
4x - y = -1
-y = -4x - 1
y = 1 + 4x --------(2)
Since, both the equations are different, system of equations will have at least one solution.
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:
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]
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
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 )
-2b^2-18b^2
Help me. Plz
Answer:
[tex]{ \tt{ - {2b}^{2} - 18 {b}^{2} }} \\ = - {20 {b}^{2}} [/tex]
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.
Which is the graph of f(x) = 3 (2/3)x ?
Step-by-step explanation:
.....................
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!!
Use The Table To Find The Values Of a, b, c And d :
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)
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]
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:
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)
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 )
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:
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
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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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
can someone answer this
Answer:sadwer
Step-by-step explanation:
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
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
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:
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]