This equation has one solution. 3(x – 2) + 4x = 10(x + 1) What is the solution? A.–5 B.–2 C.StartFraction negative 16 Over 3 EndFraction D.StartFraction negative 16 Over 7 EndFraction
Answer:
-16/3 = x
Step-by-step explanation:
3(x – 2) + 4x = 10(x + 1)
Distribute
3x -6 +4x = 10x+10
Combine like terms
7x-6 = 10x+10
Subtract 7x from each side
-6 = 3x+10
Subtract 10 from each side
-16 = 3x
Divide by 3
-16/3 = 3x/3
-16/3 = x
Answer:
x = -16/3
Step-by-step explanation:
All work is in the image below!
what is the standard equation of the circle in the graph
Answer:
option 1
Step-by-step explanation:
formula:(x-h)^(2)*(y-k)^(2)=r^2
well if you move the circle 3 units left h is (-3), plug it in, you get 3, so it is (x+3)^2*(y-k)^(2)=r^2
if you move the circle 2 units up, plug it in you get (-2), so it is
(x+3)^2*(y-2)^(2)=r^2
now, the radius is 3 (we can see from the graph) so radius ^2 is 9, thus
(x+3)^2*(y-2)^(2)=9
this is the answer, and the option that has it is answer is option 1
solve for x and y
help please!!
need step by step explanation.
will give the brainliest!!
Answer:
x=4, y=10
Step-by-step explanation:
(x+2)/3= (y-2)/4= (y-x)/3
x+2= y-x ⇒ y= 2x+2(x+2)/3= (2x+2-2)/4 ⇒ (x+2)/3= x/2 ⇒ 2x+4= 3x ⇒ x=4y=2*4+2= 10Answer:
The value of x is 2 and y is 10.
Step-by-step explanation:
First, you have to do cross multiplications of any 2 fractions :
1st equation,
[tex] \frac{x + 2}{3} = \frac{y - 2}{4} [/tex]
[tex]4(x - 3) = 3(y - 2)[/tex]
[tex]4x + 8 = 3y - 6[/tex]
2nd equation,
[tex] \frac{y - 2}{4} = \frac{y - x}{3} [/tex]
[tex]4(y - x) = 3(y - 2)[/tex]
[tex]4y - 4x = 3y - 6[/tex]
Next, you have to solve the simultaneous equation by elimination :
[tex]4x - 3y = - 14 - - - (1)[/tex]
[tex] - 4x + y = - 6 - - - (2)[/tex]
[tex](1) + (2)[/tex]
[tex]4x - 3y + ( - 4x) + y = - 14 + ( - 6)[/tex]
[tex] - 2y = - 20[/tex]
[tex]y = 10[/tex]
[tex]substitute \: y = 10 \: into \: (1)[/tex]
[tex]4x - 3(10) = - 14[/tex]
[tex]4x - 30 = - 14[/tex]
[tex]4x = - 14 + 30[/tex]
[tex]4x = 16[/tex]
[tex]x = 4[/tex]
HI I REALLY NEED HELP ON THIS IT WOULD BE NICE IF I COULD GET SOME HELP AND THANK YOU
Answer:
The answer is D.
Step-by-step explanation:
The first step would be to multiply 3x^2 and x+2 which gives us D after distributed.
The shortest route from London to Cambridge is 60 miles. A lorry is expected to take 1.5 hours to travel this route. The lorry actually travels by a different route which increases the distance by 20%, but it still arrives in 1.5 hours. By how many more mph than the expected speed does the lorry travel?
Answer: 8 miles per hour
Step-by-step explanation:
Speed = distance / time
When diatance is 60 miles
Speed = 60 / 1.5 = 40 miles per hour
When distance is 20% more (72 miles)
Speed = 72 / 1.5 = 48 mph
HURRY PLSSS
A builder uses parallelogram-shaped stones as decoration around a building’s windows. The stones come in many different sizes. Each stone has a base length of x inches and a height of (4x − 2) inches. Write a polynomial to describe the area of a stone. Then find the area of a stone that has a length of 8 inches.
ANSWER CHOICES
4x ^2 − 2x; Area = 240 in^2
4x ^2 − 2; Area = 240 in^2
4x ^2 − 2; Area = 254 in^2
4x ^2 − 2x; Area = 30 in.
Answer:
C)
Step-by-step explanation:
the answer is c because you multiply 4 and 2 and get 8 and multiply 8 by 8 and get 64 then you use 4 again and multiply 64 by 4 so you get 256 and round that 254
Answer:
Step-by-step explanation:
Which two representations are considered to be only partial representations?
OThe equation and the verbal description
OThe verbal description and the graph
OThe table and the equation
OThe graph and the table
Answer:
D) The graph and the table
Step-by-step explanation:
The equation and the verbal description fully represent the situation because their representation is valid for all possible x values. On the other hand, the table and the graph only represent certain x values.
Answer:
The Graph And The Table
Step-by-step explanation:
(URGENT)use the vectors to determine two dot products
u = 9 i - 6 j
v = -3 i - 2j
w = 19 i + 15 j
u • v = (9 i - 6 j) • (-3 i - 2j)
Distribute the dot products:
u • v = 9*(-3) (i • i) + 9*(-2) (i • j) + (-6)*(-3) (j • i) + (-6)*(-2) (j • j)
i and j are orthogonal unit vectors, so their dot products are 0, while i • i = j • j = 1. So we have
u • v = 9*(-3) + (-6)*(-2) = -27 + 12 = -15
In other words, the dot product can be computed by simply multiplying corresponding components, and taking the total.
u • w = 9*19 + (-6)*15 = 81
Answer:
A I believe
Step-by-step explanation:
Edge2021
Can I have some help on this question?
Answer:
The definition of a parallelogram states that opposite sides are parallel, so try finding the slopes of DC and AB, If they are equal that means, the sides are parallel. Do the same for AD and BC.
|x-1|=14 solve the equation
Answer:
x = 15 x = -13
Step-by-step explanation:
|x-1|=14
There are two solutions to the absolute value equation, one positive and one negative
x-1 = 14 and x-1 = -14
Add 1 to each side
x-1+1 = 14+1 x-1+1 = -14+1
x = 15 x = -13
Answer:
x= 13 or -13
Step-by-step explanation:
Substitute x for 13
|13+-1|=14
13+1=14
14=14
Now try -13
|-13+-1|=14
13+1=14
14=14
Which of the diagrams below represents the statement if it is a square then it is a rectangle
Answer:
Plz show us the figures
Step-by-step explanation:
Answer:
The answer is Figure B.
Step-by-step explanation:
9a. Which equation is set up correctly
to solve for x in the following
diagram?
7 + 18x
20.x - 5
1) 20x - 5+ 7 + 18x = 90
2) 20x - 5 + 7 + 18x = 180
3) 20 X - 5 = 7 + 18x
4) 20x - 5 + 7 + 18x = 360
What is the median of this data set: 17, 13, 18, 20, 17, 15, 12
A. 19
B. 17
Answer:
A. 19
Step-by-step explanation:
The median is the middle-point
The middle-point is also the number that is halfway into the set. To find the middle-point, the data should be arranged in order from least to greatest. If there is an even number of items in the data set, then the middle-point is found by taking the mean (average) of the two middlemost numbers.
please mark me brainliest :)
Explain how you can use the inscribed angle theorem to justify its second corollary, that an angle inscribed in a semicircle is a right angle
Answer:
We find half the measure of the central angle of the circle. Where the given shape is a semi-circle, then the inscribed angle is half of 180, therefore, 90 degrees and a right angle is proven. We show this as Angle BAC is a RA 360 is the measure of circle 360/2 = 180 the semi circle Angle BAC is 180/2 = 90 degree.
Step-by-step explanation:
Hope it helps you!
Answer:
A circle measures 360 degrees, so a semicircle measures 180 degrees. By using the inscribed angle theorem, the measure of the inscribed angle would be half of 180 degrees, or 90 degrees, which is a right angle.
Step-by-step explanation:
Specifically from the edge answer just copy and paste
Two parallel lines are crossed by a transversal. Parallel lines u and w are cut by transversal t. At the intersection of lines u and t, the bottom left angle is 105 degrees. At the intersection of lines w and t, the uppercase right angle is g degrees. What is the value of g? g = 75 g = 80 g = 100 g = 105
Answer:
I think it's 105.
Step-by-step explanation:
The wording is sort of unclear, but I drew it out and it seems that they are alternate interior angles. Alternate interior angles are congruent! If this is not the right answer, please tell me and I might be able to tell another one.
Well, technically, it has to be either 75 or 105, because all of the special relationships of triangles are either that they are supplementary or they are congruent. So if it's not 105, try 75 :)
The measure of the angle "g" is also equal to 105 degrees
Find the diagram attached below;
From the diagram, we can see that angle 105 and "g" are situated at the corner on both lines u and w.
This means that both angles are equal according to the alternate interior angle theorem, hence the measure of the angle "g" is also equal to 105 degrees
Learn more here: https://brainly.com/question/1751268
What’s the vertex y=-1/2(x+3)^2-1
Answer:
vertex = (- 3, - 1 )
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = - [tex]\frac{1}{2}[/tex] (x + 3)² - 1 ← is in vertex form
with vertex = (- 3, - 1 )
What is the value of x in the equation 3x -
by = 18, when y = 272
5
7
45
63
Mark this and return
Save and Fit
Mark all the statements that are true.
which of the follow does not represent a function?
Answer:
The third one. The one you have selected.
Step-by-step explanation:
3x+4=9x+3? I dont understand. Write as a fraction please
Answer:
x = 1/6 =0.167
Step-by-step explanation:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
3*x+4-(9*x+3)=0
Step by step solution :
Step 1 :
Solving a Single Variable Equation :
1.1 Solve : -6x+1 = 0
Subtract 1 from both sides of the equation :
-6x = -1
Multiply both sides of the equation by (-1) : 6x = 1
Divide both sides of the equation by 6:
x = 1/6 = 0.167
One solution :
x = 1/6 = 0.167
Answer:
1/6
Step-by-step explanation:
Step 1: Subtract 9x from both sides.
3x+4−9x=9x+3−9x
−6x+4=3
Step 2: Subtract 4 from both sides.
−6x+4−4=3−4
−6x=−1
Step 3: Divide both sides by -6.
−6x -1
------- = ----------
-6 -6
x=1/6
What is the value of [-12]?
-13
-12
12
13
Answer:
- 12 is the answer i think
The total cost for a bucket of popcorn and 4 movie tickets is $56. The total cost for the same size bucket of popcorn and 6
movie tickets is $80. The cost of a bucket of popcorn is $8. Which equation represents the relationship between y, the total
cost of the popcorn and movie tickets, and x, the number of movie tickets that are purchased?
y = 12x + 8
y = 12x - 8
y = 14x + 8
y = 14x - 8
Answer:
y = 12x + 8
Step-by-step explanation:
You can come to this conclusion by plugging in the amount of tickets bought as x in each equation, making sure the the answer y is $56 if x = 4 and $80 if x = 6
Answer:
a
Step-by-step explanation:
Need quick help on this
Answer:
C.
Step-by-step explanation:
I cant really explain it but i had the same question and had the answer worked out on the paper
Hope it helps :3 (tell me if it was right or wrong so i know if i need to fix something later)
Which line has a y-intercept of –2?a)
both ℓ and t
b)
t
c)
ℓ
d)
p
Answer:
P
Step-by-step explanation:
It passes through -2 on the y-axis
HOPE THIS HELPS! (:
Find the area of the following shapes: c
Answer:
20
Step-by-step explanation:
First, you need to find the length of each of the bases of this trapezoid. YZ has length 5-2=3, while XW has length 8-1=7. The average of these is 5, meaning that since the height of this trapezoid is 5-1=4, the area is 4*5=20. Hope this helps!
There are 1250 students in a school. 58% of them are female. How many are male?
Answer:525 boys
Step-by-step explanation:
Multiply 1250 times .58 and then subtract that answer from 1250....
1250x.58=725
1250-725=525
Answer:
There are 525 boys in that school.
Step-by-step explanation:
Since the number of students in that school are 1250 and 58% of them are female, therefore the percentage of the male is
⇒100% - 58% = 42%
To find how many boys are in that school, you multiply 1250 by 42%.
i.e. [tex]\frac{42}{100} * 1250[/tex]
= [tex]\frac{42}{10} * 125[/tex]
= 4.2 × 125
= 525
∴ There are 525 boys in that school.
OR
You can find the number of boys there by subtract the product of 58% and 1250 by 1250.
i.e. Number of girls= [tex]\frac{58}{100} * 1250[/tex]
= [tex]\frac{58}{10} * 125[/tex]
= 5.8 × 125
= 725
∴ The boys in that school are:
= 1250 - 725
= 525
∴ There are 525 boys in that school.
Hope this helps!!!
Which inequalities have the solution set graphed on the number line? Check all that apply.
x Greater-than-or-equal-to -1.5
x Less-than-or-equal-to -1.5
-1.5 Less-than-or-equal-to x
-1.5 Greater-than-or-equal-to x
x Less-than-or-equal-to -2.5
x Greater-than-or-equal-to -2.5
-2.5 Greater-than-or-equal-to x
PLZ HELP QUICKLY I DONT HAVE MUCH TIME WILL GIVE BRAINLIEST
Answer:
This graph represents x is less than or equal to -1.5
Step-by-step explanation:
When the graph faces the direction on the left that represents “less than”, similarly when the graph faces the right directions, that represents “greater than”.
Based on what is given, the graph is “less than”
Closed dot means “equal to”
open dot is just greater or less
Combine all of this and we can safely pick that this graph represents -1.5 less than or equal to 1.5
Answer:
ITS B AND D
CAN I PLEASE GET BRAINLIEST IM TRYING TO RANK UP
Step-by-step explanation:
V
Ben and Phoebe are finding the slope of a line. Ben chose two points on the line
and used them to find the slope. Phoebe used two different points to find the
slope. Did they get the same answer? Complete the explanation.
TE
The slope of a line (select)
the same answer.
from point to point, so they (select)
get
PO
Answer:
They got the same answer
Step-by-step explanation:
A slope is completely linear, and the rate of change is constant, so no matter what points are chosen, the rate of change will be the same.
Please help me ASAP I will give brainliest
Answers The answer A
Step-by-step explanation:
What is the sum of the series?
10
Σ(7k– 2)
k=1
Answer:
365
Step-by-step explanation:
The simplest method is to substitute values of k = 1 to 10 into the expression and sum the terms, that is
7(1) - 2 + 7(2) - 2 + 7(3) - 2 + 7(4) - 2 + 7(5) - 2 + 7(6) - 2 + 7(7) - 2 + 7(8) - 2 + 7(9) - 2 + 7(10) - 2
= 5 + 12 + 19 + 26 + 33 + 40 + 47 + 54 + 61 + 68
= 365