Answer:
x = 5/3 x = -1
Step-by-step explanation:
|3x–1|=4
The solution to an absolute value equation has a positive and a negative solution
3x-1 =4 3x-1 = -4
Add 1 to each side
3x-1+1 = 4+1 3x-1+1 = -4+1
3x =5 3x = -3
Divide by 3
3x/3 = 5/3 3x/3 = -3/3
x = 5/3 x = -1
Answer:
x=1 2/3,x=-1
Step-by-step explanation:
There are two solutions. In the first solution, 3x=4-1=4 so x=1 2/3
The second solution is when 3x-1 equals negative 4 but because of the absolute value, is positive 4. In this case, it would be x=-1
PLEASE HELPPPPPPPPP!!! Graph the line that represents a proportional relationship between d and t with the property that an increase of 3 units in t corresponds to an increase of 4 units in d. What's the unit rate of change of d with respect to t? (That is, a change of 1 unit in t will correspond to a change of how many unites in d?) The unit rate is _____? Graph the relationship.
Answer:
Draw a straight line through these two points (0, 0) and (1, 3).
Step-by-step explanation:
"Proportional relationship" implies line or curve that goes through the origin; there is no "y-intercept" in this case.
Plot a dot at (0, 0). Next, move your pencil point 1 unit to the right (you'll end up at (1, 0), and then move it from there up to (1, 3). Draw a straight line through these two points (0, 0) and (1, 3).
Answer:
The unit rate of change of d with respect to t is 4/3.
The graph should be: (0,0) and (3/4).
Step-by-step explanation:
I got it wrong on khan academy :/
so i went over here and answer it
Fill in the table using this function rule.
y=-6x-1
Answer:
5, -1, -7, -31
Step-by-step explanation:
When you plug in x digits you get these numbers.
By substituting different values of x, corresponding values of function y are 5, -1, -7, and -31 obtained as shown in the table.
What is a linear function?"A linear function is a mathematical expression which, when graphed, will form a straight line. A linear function is a simple function usually composed of constants and simple variables without exponents"
For the given situation,
The function is y=-6x-1.
Substitute the different values of x in function y, to obtain the value of y.
For x = -1,
[tex]y=-6(-1)-1[/tex]
⇒ [tex]y=5[/tex]
For x = 0,
[tex]y=-6(0)-1[/tex]
⇒ [tex]y=-1[/tex]
For x = 1,
[tex]y=-6(1)-1[/tex]
⇒ [tex]y=-7[/tex]
For x = 5,
[tex]y=-6(5)-1[/tex]⇒ [tex]y=-31[/tex]
The table below shows the values of x and the function y.
Hence we can conclude that by substituting different values of x, corresponding values of function y are obtained as shown in the table.
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Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards? Four-thirds StartFraction 7 over 9 EndFraction StartFraction 9 over 7 EndFraction Three-fourths
Answer:
9 over 7 end fraction three-fourths
Step-by-step explanation:
The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long.
Now,
Since, Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long.
So, The length of the 7 smaller boards = 9 1/3 ÷ 7
= 28/3 ÷ 7
= 28/3 × 1/7
= 4/3 feet
Thus, The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).
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Which equation can be used to find AB?
Answer:
cos 42 = 10 / AB
Step-by-step explanation:
Since this is a right angle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 42 = 10 / AB
What is the length of AB, given that figure ABCD is a rhombus?
A. 12
B. 4
C. 16
D. 8
Answer:
c
Step-by-step explanation:
3x2 +x=10 what’s the answer?
Answer:
Step-by-step explanation:
3 × 2 + x = 10
6 + x = 10
x = 10 -6
x = 4
Step-by-step explanation:
so 3 x 2 is 6
6 add x is 6x
6x = 10
divide by 6 or 10 on both sides to get ur answer
hope this helps
i would appreciate it if u could heart my answer and give it 5 stars or maybe even give it brainliest pls i beg u thx !!!!! : )
PLZ ANSWER If the graph of the equation y=(x+2)^2 is reflected with respect to the y-axis, what is the equation of the resulting graph?
Answer:
y=(x-2)^2
Step-by-step explanation:
just simply change the sign.
What additional information must be known to prove the triangles similar by SSS? options: A) ∠F ≅ ∠Q B) No additional information is needed. C) The lengths of and D) ∠F ≅ ∠D
Answer:
Option A) [tex]\angle F\\[/tex] congruent with [tex]\angle Q[/tex]
Step-by-step explanation:
There is only information about two sides in each triangle, so there is still the need of a third piece of info which can come from an angle like [tex]\angle F\\[/tex] congruent with [tex]\angle Q[/tex], which are angles opposite to one of the given sides on each triangle.
Two bicycles are driving on the circle in the same direction with speeds of 9 mph and 5 mph respectively. How many points are there on the circle where the two bicycles meet?
Answer:
4 points
Step-by-step explanation:
.
Let L be the circumference of the circle.
Then the faster cyclist will catch the slower cyclist first time when the faster cyclist will cover
the distance which exactly 1 circumference longer than the distance covered by the slower cyclist
9t-5t=l
It gives the time to get first meeting point
t=l/9-5=l/4 hours
and the distance which the faster cyclist covered during this time is
d1=9t=9l/4 miles
The distance which the slower cyclist covered during this time is
d2=5t=5l/4
The meeting point is geometrically the same point on the circle for both cyclists, and its angle measure on the circle is
(1/l)(5l/(4)-l)=1/4
of the full angle of 2pi radians, or 90 degrees.
So, they started simultaneously, and their first meeting point is at the 90 degrees angle.
Next, they started from this point SIMULTANEOUSLY and . . . and everything was repeated.
Hence, their next meeting point is the point on the circle with the angle of 180 degrees.
So, there are 4 remarkable points on the circle: first point is the starting point, and 3 other points
(the points where whey meet/catch each other) are the images of the starting point, rotated 90°, 180°, and 270° along the circle.
There are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
Let L represent the circumference of the circle.
Then the faster cyclist will catch the slower cyclist the first time when the faster cyclist will cover the distance which is exactly 1 circumference longer than the distance covered by the slower cyclist
9t - 5t = L
It gives them time to get the first meeting point
t = L/9 - 5
t = L/4 hours
The distance which the faster cyclist covered during this time;
d1 = 9t = 9L/4 miles
The distance that the slower cyclist covered during this time is
d2 = 5t = 5L/4
The meeting point is geometrically the same point on the circle for both cyclists, and its angle measured on the circle;
(1/l)(5l/(4)-l)=1/4
Therefore, their next meeting point is the point on the circle with an angle of 180 degrees.
So, there are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.
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Bryce is picking out a new lamp at a furniture store. There are 5 kinds of lamp bases and
3 different lampshades. Each lampshade comes in 3 different colors. Bryce also needs to
choose one of the 2 kinds of lightbulbs available. How many different lamps can Bryce choose?
Answer:
80 lamps
Step-by-step explanation:
number of lamp bases*no. of lampshades*no. of lightbulbs= total number of lamp choices
5*(3*3)*2
=5*9*2
=40*2
=80
hope it helps :)
Which change can be made to correct the chart?
The expression 3x3 should be 3x2.
The expression 6x should be 6xy.
The expression x2y should be x2y2.
The expression 4y should be 4y2.
Answer:
3x^3/x = 3x^(3-1) = 3x^2
6x*y = 6xy
x^2y *y = x^2y^(1+1) = x^2y^2
4y*y = 4y^2
Step-by-step explanation:
This can be solved using law of Indices.
The expression 3x^3 should be 3x^2.
Here power of x is three while in output power of x is two hence we need to eliminate power of x by one for that we divide 3x^3 by x
Rule: x^a/x^b = x^(a-b)
3x^3/x = 3x^(3-1) = 3x^2 (answer)
_________________________________
The expression 6x should be 6xy.
here term y is missing hence we multiply 6x with y
rule: a*b = ab
6x*y = 6xy (answer)
_________________________________________________
The expression x^2y should be x^2y^2
Here we need power of y as 2, to do that we multiply x^2y by y.
Rule
x^2*x^b = x(a+b)
x^2y *y = x^2y^(1+1) = x^2y^2 (answer)
_____________________________________________
The expression 4y should be 4y^2\
Here we need power of y as 2, to do that we multiply 4y by y.
Rule
x^2*x^b = x(a+b)
4y*y = 4y^2 (answer)
Answer:
b: the expression 6x should be 6xy
Step-by-step explanation:
i just did on edgen 2020
Please help me I am bad at this stuff
What is the x xx-intercept of the line?
Answer:
(3,0)
Step-by-step explanation:
The graph is a line so it will have an equation with this form:
y = mx+b
m is the slope and b is the y-intercept.
Let's calculate m:
● m = (-32-(-64))/(-9-(-21)) = 8/3
Now replace m with its value and x,y with coordinates of a point.
● -32 = (8/3)*(-9) +b
● -32 = -24 +b
● -32+24 = b
● -8 =b
Solve y = 0
●(8/3)*x+b = 0
● (8/3) *x = 8
● x = 3
The coordinates of the x-intercept are (3,0)
find the value of a in this picture below
Answer:
[tex]\boxed{a=40}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
[tex]a[/tex] is equivalent to all the other [tex]a[/tex].
Put up an equation and solve for [tex]a[/tex].
[tex]60+a+a+a=180[/tex]
[tex]3a+60=180[/tex]
[tex]3a=120[/tex]
[tex]a=40[/tex]
Answer:
Step-by-step explanation:
in the given figure;
a+60deg.+a+a=180 deg.
=> 3a+60=180
=> 3a=180-60
=> 3a=120
=> a=120/3
=40 deg.
THE ANSWER IS NOT 12 OR 36 SO DO THE RSM ANSWER PLS ASAP PLS OH PLS 0-0 a * b=ba−ba+ab, find (2*3)×(3*2).
72 if * is exponents
lands on a field. The height of the ball, in meters, is modeled by the function shown in the graph. What's the average rate of change of the height of the ball from the point when John throws it to its maximum height? Question 10 options: A) 2 meters per second B) –1∕2 meters per second C) –2 meters per second D) 1∕2 meters per second
Answer:
A) 2 m/s
Step-by-step explanation:
The ball increases from its thrown height of 3 meters to its maximum height of 7 meters in 2 seconds. That's an average rate of increase of ...
(4 m)/(2 s) = 2 m/s
The average rate of change of height is 2 meters per second.
Answer: 2m/sec
Step-by-step explanation: From the graph we see that the ball went from 3 meters to 7 meters, a difference of 4m. It took 2 seconds to reach that height.
The average is found by dividing 4m/2sec
The result is 4m/sec
A sample of 120 local residents reveals that 8 have a post office box for receiving mail. What is the relative frequency that a local resident does not have a post office box for receiving mail?
[tex]\frac{1}{15}[/tex] or 6.67%
Step-by-step explanation:In practice, the relative frequency of an event happening is the same as the probability that that event happened. In other words, the terms "relative frequency" and "probability" can be used interchangeably.
Now, the probability P(A) of an event A happening is given by;
P(A) = [tex]\frac{number-of-outcomes-in-the-event-A}{number-of-outcomes-in-the-sample-space}[/tex]
From the question;
The event A is the situation of local residents having a post office box. Therefore the;
number-of-outcomes-in-the-event-A = 8 [since only 8 of the local residents have a post office box]
number-of-outcomes-in-the-sample-space = 120 [since there are altogether 120 local residents]
Therefore,
P(A) = [tex]\frac{8}{120}[/tex]
P(A) = [tex]\frac{1}{15}[/tex]
The relative frequency that a local resident does not have a post office box for receiving a mail is therefore, [tex]\frac{1}{15}[/tex]
PS: Sometimes it is much more convenient to express relative frequencies as percentage. Therefore, the result above expressed in percentage gives:
[tex]\frac{1}{15} * 100%[/tex]% = 6.67%
Determine if the statement is always, sometimes or never true. The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle. always
Answer:
I believe it is never
Step-by-step explanation:
Sorry if I'm wrong ...
BRAINLIEST TO FIRST RIGHT ANSWER The coefficients of the first three terms in the expansion of (x – y) 4 are a) 1, –4, –6 b) 1, –4, 6 c) 1, 4, 6 d) 1, 3, 5
Answer:
b) 1, -4, 6
Step-by-step explanation:
(x-y)^4=
(x-y)(x-y)(x-y)(x-y)=
(x^2-xy-xy-y^2)(x^2-xy-xy-y^2)=
(x^2-2xy-y^2)(x^2-2xy-y^2)=
x^4-4x^3y+6x^2y^2-4xy^3+y^4
anyone knows this? thanks
Answer:
B. 15:1
Step-by-step explanation:
30/2=15/1
45/3=15/1
60/4=15/1
75/5=15/1
Hope this helps ;) ❤❤❤
The correct answer is B
Does the function ƒ(x) = (0.85)x represent exponential growth, decay, or neither? Question 8 options: A) Exponential decay B) Impossible to determine with the information given. C) Neither D) Exponential growth
Answer:
exponential decay
Step-by-step explanation:
The function f(x)=0.85ˣ is a exponential decay.
What is a function?A relation is a function if it has only One y-value for each x-value.
The given function is f(x)=0.85ˣ.
The function f of x is equal to zero point eight five to the power of x.
Exponential decay refers to a process in which a quantity decreases over time, with the rate of decrease becoming proportionally smaller as the quantity gets smaller.
The function f(x)=0.85ˣ is a exponential decay.
Hence, the function f(x)=0.85ˣ is a exponential decay.
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Carver is trying to reproduce a scale drawing where every 3 in. will be equal to 2 feet. How long should Carver make the red line, in feet?
Answer:
6 ft
Step-by-step explanation:
Since the red line is 9 feet long, and we know that [tex]3\cdot3 = 9[/tex], we can note that 3 inches goes into 9 inches 3 times.
Now that we are making the red line increase by 2 feet for every 3 inches, we can multiply the values.
2 feet × 3 times = 6 feet
So Carver should make the red line 6 feet long.
Hope this helped!
Answer:
6ft
Step-by-step explanation:
If the scale is 3in:2ft then every 3 inches is equal to 2 feet. 9in can be divided into 3 3in sections and after the sections are scaled 3 2t sections which in all are equal to 6ft.
Which expression can you simplify by combining like terms? 12b2+4ab−3ba−6 17a2−6b2a+4ba−9 5b2−5a2+8a−b 14a2+6ab−3b−3a
Answer:
12b^2+4ab−3ba−6
Step-by-step explanation:
12b2+4ab−3ba−6
The two middle terms are like terms, the order in which you multiply does not matter ab =ba
12 b^2 +4ab -3ab -6
12 b^2 +ab -6
The correct answer is....
A.) A 12b2+4ab-3ba-6If the degree and variables of two terms are same, then they are called like terms.
Here, 4ab and -3ab are like terms because both have same variables a and b with degree 1.
By combining like terms we get
In options B, C and D, there are no like terms, So only the expression we can simplify by combining like terms.
Which of the following can prove that figure ABCD is a square?
Answer:
A
Step-by-step explanation:
all sides of square is 90degrees
Since AC and BD is the same, when you join the lines together, it will definitely be a square
Identify the coefficient of 12b5.
Given the value [tex]12b^{5}[/tex] ; the coefficient of b is 12.
The Coefficient is a numerical value or constant which is used to multiply a variable; from the value given above ;
The variable is b ;
The Coefficient = 12 ; the coefficient is the value which is used fo multiply the variable b.
The power is the value to which the variable is raised.
Hence,
The Coefficient is 12 ; it is the value which multiplies the variable 'b' and the power is 5
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Amina sees a discount of 5% on a laptop. She can calculate the amount she has to pay for the laptop using the expression where b is the price of the laptop before the discount. If the price after discount is $494, which number from the set {500, 505, 510, 520, 525} is the value of b? A. $500 B. $505 C. $510 D. $520 E. $525
Answer:
D. $520
Step-by-step explanation:
A 5% discount means you are paying 95% of the original price.
494 divided by 0.95 = 520
Answer:
d 520
Step-by-step explanation:
a good trick when you have these multiple choice questions especially with percentages with tips and discounts just multiply each answer option by what ever percentage you have and subtract or add what you got on the calculator
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: ________
What is the final step in solving the inequality –2(5 – 4x) < 6x – 4?
x < –3
x > –3
x < 3
x > 3
Answer:
3 > x
Step-by-step explanation:
–2(5 – 4x) < 6x – 4
Step 1: –10 + 8x < 6x – 4
Step 2: –10 < –2x – 4
Step 3: –6 < –2x
Step 4: divide each side by by -2, remembering to flip the inequality
-6/-2 > -2/-2
3 > x
Answer:
x < 3
Step-by-step explanation:
−2(5−4x)<6x−4
Use the distributive property to multiply −2 by 5−4x.
−10+8x<6x−4
Subtract 6x from both sides.
−10+8x−6x<−4
Combine 8x and −6x to get 2x.
−10+2x<−4
Add 10 to both sides.
2x<−4+10
Add −4 and 10 to get 6.
2x<6
Divide both sides by 2. Since 2 is >0, the inequality direction remains the same.
x= 6/2
Divide 6 by 2 to get 3.
x= 3
X< 3
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evaluate the integral
[tex] \gamma \binom{2}{1} \frac{2x}{{x}^{2} + 1} dx[/tex]
Answer: ln5 - ln2 ≈ 0.919
Step-by-step explanation:
[tex]\int\limits^2_1 {\dfrac{2x}{x^2+1}} \, dx\qquad \qquad =\int\limits^2_1 {(x^2+1)^{-1}} \, 2xdx[/tex]
Let u = x² + 1 → du = 2x
[tex]\text{Then we have:}\quad \int\limits^2_1 {u^{-1}} \, du \qquad =ln|u|\bigg|^2_1[/tex]
Substitute u = x² + 1
[tex]ln|x^2+1|\bigg|^2_1\quad =ln|2^2+1|-ln|1^2+1|\quad = ln|5|-ln|2|[/tex]
Graphs are sometimes______by the way they present information.
Answer:
Misleading?
Step-by-step explanation:
Graphs can have mislabeled axes or different values on the axes, making them hard to understand.
I think this is the right answer, but the question was way too vague. Next time, put some options or at least explain the problem better.
HELP!!! ANSWER SOON!!!! Which graph shows the solution set for 2 x + 3 greater-than negative 9? A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 3. Everything to the right of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the left of the circle is shaded. A number line going from negative 8 to positive 2. An open circle is at negative 6. Everything to the right of the circle is shaded.
We can solve the inequality 2x + 3 > -9 by first subtracting 3, then dividing by 2:
2x > -12
x > -6
This graph should have an open circle at negative 6 (this is a strict inequality, so x cannot equal -6), with everything to the right shaded (since x is greater than -6).
Answer:
C
Step-by-step explanation:
Did test on edge