Our first step would be to distribute this 3 through the
parentheses to get 3x + 3 on the right side of the equation.
On the left bring down your y - 2 to get y - 2 = 3x + 3.
Next we would move the -2 to the right side of the
equation by adding 2 to both sides to get y = 3x + 5.
Now, this equation is written in slope-intercept form because
the y is by itself on the left side of the equation.
Which is equivalent to One-fourth x?
Answer:
Step-by-step explanation:
That'd be (1/4)x or x/4.
Answer:
The answer is A on edg 2020
Step-by-step explanation:
i got it right.
can i get brainliest
Write the Equation for the line that goes through the points (30,75) and (60,50).
Answer:y=[tex]y=-\frac{5}{6} x+100[/tex]
Step-by-step explanation:
my answer was wrong and cannot be deleted :)
Someone answer ASAP pleaseee
Answer:
1. (4,2) and (-2,-4)
2. (6,3) and (3,-6)
3. (1,8) and (7,-4)
Step-by-step explanation:
2 families go to the theatre. the p family of 2 adults and 3 children pay £46. the l family of 3 adults and 5 children pay £76. work out thecost of an adult ticket and child ticket.
Answer:
child: 14
Adult : 2
Step-by-step explanation:
2A + 3C = 46------------eqn 1
3A + 5C = 76------------eqn 2
eqn 1 x 3 : 6A + 9C = 138----------- eqn 3
eqn 2 x 2: 6A + 10C = 152-----------eqn 4
eqn 4 - eqn 3: 1OC - 9C = 152 - 138
1C = 14
subst 1C = 14 into eqn 1
2A + 3(14) = 46
2A = 46 - 42
2A = 4
1A = 2
which expression is equivalent
Answer:
a^9*b^6
Step-by-step explanation:
a^(-8) b 1 1
-------- = a^(-3), and ----------- = --------- Their product is --------------
a^(-5) b^(3) b^2 a ^3*b^2
This is the algebraic expression inside the parentheses. We must now take
the negative 3rd power of this result.
(a^3*b^2)^3 = a^9*b^6
Can any one here please help me in this math problem I really need help
Answer:
The volume of the solid is the volume of the prism minus the volume of the cylinder.
For the cylinder, diameter = d = 4 cm
radius = d/2 = (4 cm)/2 = 2 cm
V = volume of prism - volume of cylinder
The volume of a prism is length times width times height.
The volume of a cylinder is pi times the square of the radius times the height.
V = LWH - (pi)r^2h
V = 6 cm * 6 cm * 15 cm - (pi)(2 cm)^2(15 cm)
V = 540 cm^3 - 60pi cm^3
V = (540 - 60pi) cm^3
What is the slope?
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
solve the equation for x -x*2-10x+24=0
Answer:
x=-12 x =2
Step-by-step explanation:
-x^2-10x+24=0
Divide by -1
x^2 +10x -24 = 0
Factor
What 2 terms multiply to -24 and add to 10
12 * -2 = -24
12 -2 = 10
(x+12) ( x-2) = 0
Using the zero product property
x+12 =0 x-2 =0
x=-12 x =2
Find the area of a circle with diameter,
d
= 10m.
Give your answer in terms of
π
.
Answer:
A = 25pi m^2
Step-by-step explanation:
We know the diameter, we need the radius
r = d/2
r = 10/2 = 5
The area of a circle is given by
A = pi r^2
A = pi (5)^2
A = 25pi m^2
A science test, which is worth 100 points, consists of 24 questions. Each question is worth either 3 points or 5 points. If x is the number of 3-point questions and y is the number of 5-point questions, the system shown represents this situation.
x + y = 24
3x + 5y = 100
What does the solution of this system indicate about the questions on the test?
The test contains 4 three-point questions and 20 five-point questions.
The test contains 10 three-point questions and 14 five-point questions.
The test contains 14 three-point questions and 10 five-point questions.
The test contains 20 three-point questions and 8 five-point questions.
Answer: B. The test contains 10 three-point questions and 14 five-point questions
Step-by-step explanation:
14 * 5 = 70
10 * 3 = 30
70 + 30 = 100
14 + 10 = 24
Answer:
y=14
x=10
Step-by-step explanation:
x+y=24
3x+5y = 100
multiply the first equation by 3 and subtract from second one :
3x+3y=72
-
3x+5y=100
equal : -2y=-28
y=14
x=10
Rebecca is given two triangles, ABC and DEF. at first glance, she thinks that the triangles are congruent. How can she use what she knows about rotations and triangle congruence to prove the triangle congruence?
Answer:
A
Step-by-step explanation:
If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40
If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.
We have given that,
Rebecca is given two triangles, ABC and DEF.
At first glance, she thinks that the triangles are congruent.
Therefore we have
What is the meaning of rotation?Rotation is circular movement.
A rotation is the movement of something through one complete circle.
The daily rotation of the earth upon its axis.
If you rotate DEF 180 degrees it will look the same as ABC and the order is angle side angle because the side 5cm is between the 2 angles 57 and 40.
Therefore, If you rotate DEF 180 degrees it will look the same as ABC and the order is an angle side angle.
To learn more about the rotation visit:
https://brainly.com/question/26249005
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38. A painting without its frame has
a width 2.5 times its height, h,
in inches. Its frame is 3 in. wide
all along its perimeter. What is
an expression for the area of the
framed painting in terms of h?
Simplify your expression, and write
it in standard form.
Answer:
1.5*w^2 + 15*w + 36
Step-by-step explanation:
We have to make the width of the portrait be 'w'
in addition to that the height of the frameless portrait (h) = 1.5 times its width, i.e. 1.5 * w
Frame width is 3 inches on all sides.
Therefore the area of the framed portrait is the total area of the portrait plus the area of the frame. The figure representing the above scenario is shown below.
I enclose a figure that allows us to see the problem better, the area of the rectangle ABCD is the area of the framed portrait.
From the figure, we have to:
AB = 3 + w + 3 = w + 6
BC = 3 + h + 3 = h + 6 = 1.5 * 2 +6
We know that the area of the rectangle ABCD is given as the product of the length AB and the width BC. Thus,
Area = (w + 6) * (1.5 * w + 6)
Area = 1.5 * w ^ 2 + 6 * w + 9 * w + 36
Area = 1.5*w^2 + 15*w + 36
That is, the expression for the framed portrait area in terms of the width 'w' is:
1.5*w^2 + 15*w + 36
12e^5 divided 3e^3 simplified
Answer:
[tex]4 {e}^{2} [/tex]
Step-by-step explanation:
[tex] \frac{12 {e}^{5} }{3 {e}^{3} } \\ 12 \div 3 \times {e}^{5 - 3} \\ = 4 {e}^{2} [/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
two groups of students order cheeseburgers and chicken nuggets at mcdonald’s. one order of 9 cheeseburgers and 4 chicken nuggets cost $22.37. the other order of 3 cheeseburgers and 4 chicken nuggets cost $15.23. find the cost of a cheeseburger
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
what role do binomial factors (like (x+3) and (x-2) ) have in algebra.
Answer: Binomial factors are polynomial factors that have exactly two terms. Binomial factors are interesting because binomials are easy to solve, and the roots of the binomial factors are the same as the roots of the polynomial. Factoring a polynomial is the first step to finding its roots.
The diameter of a circle is 222 units. What is the radius of the circle?
Answer:
111 units
Step-by-step explanation:
the diameter is double the radius so divide 222 by 2 to get 111 units.
The total area of the figure to the right is
187cm. Use this fact to write an
equation involving x. Then solve the
equation to find the value of x. Justify
your answer
Answer:
x = 4 cm
Step-by-step explanation:
The area of an rectangle is the product of its length and its breadth.
From the diagram, the length = 13 + x and the breadth = 7 + x. Therefore:
Area of the rectangle = length × breadth = (13+x)(7+x)
But the area = 187 cm,
⇒ 187 = (13+x)(7+x)
187 = x² + 20x + 91
Subtracting 187 from both sides
x² + 20x + 91 - 187 = 187 -187
x² + 20x - 96 = 0
x² + 24x - 4x - 96 = 0
x(x + 24) - 4(x + 24) = 0
(x - 4)(x + 24) = 0
x - 4 = 0 or x + 24 = 0
x = 4 or x = -24
Since x cannot be negative therefore, x = 4 cm
Length = 13 + 4 = 17 cm
Breadth = 7 + 4 = 11 cm
The width of a rectangle is 8 cm less than the length of the rectangle.
The perimeter of the rectangle is 54 cm.
Find the area of the rectangle
Answer:
166.25 cm²
Step-by-step explanation:
W = L - 8
2W + 2L = 54
2(L - 8) + 2L = 54
2L - 16 + 2L = 54
4L - 16 = 54
4L = 70
L = 17.5, W = 9.5
A = 17.5 x 9.5 = 166.25 cm²
The value of [2-3(2-3)-1]-1 is
Answer:
3
Step-by-step explanation:
Answer:
3
Step-by-step explanation:
A = [2 - 3(2 - 3) - 1] - 1
The operations inside parenthesis are performed first. We have:
A = [2 - 3*(-1) - 1] - 1
The multiplication is performed next. We have:
A = [2 - (-3) - 1] - 1
Now, the operation could be performed freely in any order. (because only subtraction is remaining). We have:
A = 2 - (-3) - 1 - 1
= 2 + 3 - 1 - 1
= 5 - 2
= 3
Hope this helps!
Can someone help with this question?
Answer:
1. 5
2. -3
3. -4
4. 0
Step-by-step explanation:
Substitute the value of x in the equation with each of the x's given in the table.
Example:
When x = -1
y = -1^2 - 4 x -1 = 1 - 4 = -3
When x = 4
y = 4^2 - 4 x 4 = 16 - 16 = 0
Please add brainiest
Which table represents a linear function?
Answer: first one
Step-by-step explanation:
Same-side interior angles form when a transversal intersects with two parallel lines, making the same-side interior angles supplementary.
O True
O False
What is the slope? will mark brain
Simplify your answer and write it as a proper fraction, improper fraction, or integer.
Answer:
The slope is 3.
Step-by-step explanation:
The answer is 3( slope ) because
6÷2=3.
Improper fraction = 3/1
If a student with 2 absences got a score of 12 what would be the score for a student who had 3 absences
What is the slope of the line that contains the points (-23, -16) and (13, -16)?
Answer:
Use the slope formula to find the slope . m = 0
Step-by-step explanation:
Ans:
3/2. your welcome
Step-by-step explanation:
Select all of the equations for which x = -1 *
1 point
x + 1 = 0
3x = -3
x - 9 = -8
5x = -5
what is the value of x when the richter scale rating is 5.5
Answer:
5.5
Step-by-step explanation:
divide both sides
What is the area of the rhombus shown below?
O
C
O A. 127.5 square units
O B. 255 square units
BI = 15
O C. 16 square units
A
11.2
O D. 190.4 square units
Answer:
It's A 100%
Step-by-step explanation:
Took the quiz
What is the measure of DEF
Answer:
105°
Solution,
[tex]let \: < def \: be \: x \\ x + 28 + 47 = 180 \\ or \: x + 75 = 180 \\ or \: x = 180 - 75 \\ x = 105 \\ hope \: it \: helps \\ good \: luck \: on \: your \: assignment[/tex]
The total angle of a triangle is 180°. Using this we can find the angle DEF(x).
180=28+47+x
180=75+x
180-75=x
105=x
SO angle DEF=105°
Hope it helps!!
Element X decays radioactively with a half life of 12 minutes. If there are 760 grams of element X, how long, to the nearest tenth a minute, would it take the element to decay to 15 grams?
Answer:
The time it'd take for the element to have 15 g of mass is approximately 68 min.
Step-by-step explanation:
The radioactive decay of a substance is given by the following formula:
[tex]mass(t) = mass(0)*e^{-\lambda*t}[/tex]
Since the element has a half life of 12 minutes, this means that after this time the mass of the element will be half of it was originally, therefore:
[tex]\frac{mass(0)}{2} = mass(0)*e^{-\lambda*12}[/tex]
[tex]\frac{1}{2} = e^{-\lambda*12}[/tex]
[tex]ln(\frac{1}{2}) = -12*\lambda\\\lambda = -\frac{ln(0.5)}{12} =0.0577623[/tex]
Therefore the mass of the element is given by:
[tex]mass(t) = mass(0)*e^{-0.0577623*t}[/tex]
If the initial mass is 760 g and the final mass is 15 g, we have:
[tex]mass(t) = mass(0)*e^{-0.0577623*t}\\\\15 = 760*e^{-0.0577623*t}\\\\e^{-0.0577623*t} = \frac{15}{760}\\\\ln(e^{-0.0577623*t}) = ln(\frac{15}{760})\\\\-0.0577623*t = ln(\frac{15}{760})\\\\t = \frac{ln(\frac{15}{760})}{-0.0577623}\\\\t = 67.9555[/tex]
The time it'd take for the element to have 15 g of mass is approximately 68 min.