3 (1 - 3x) = 2 (- 4x +7)
Answer: x = -11
Step-by-step explanation:
Expand the expression (distributive property): 3 - 9x = -8x + 14
// subtract 14 from both sides = -11
// add 9x on both sides = x
Simplify: x = -11
Answer:
[tex]x=-11[/tex]
Step-by-step explanation:
1) Rearrange Terms
[tex]3(-3x+1)=2(-4x+7)[/tex]
2) Distribute
[tex]-9x+3=2(-4x+7)[/tex]
3) Distribute
[tex]-9x+3=-8x+14[/tex]
4) Subtract 3 from both sides of the equation
[tex]-9x+3-3=-8x+14-3[/tex]
5) Simplify
A. Subtract the numbers
[tex]-9x=-8x+14-3[/tex]
B. Subtract the numbers
[tex]-9x=-8x+11[/tex]
6) Add 8x to both sides of the equation
[tex]-9x+8x=-8x+11+8x[/tex]
7) Simplify
A. Combine like terms
[tex]-x=-8x+11+8x[/tex]
B. Combine like terms
[tex]-x=11[/tex]
8) Divide both sides of the equation by the same term
[tex]\frac{-x}{-1} =\frac{11}{-1}[/tex]
9) Simplify
A. Cancel terms that are in both the numerator and denominator
[tex]x=\frac{11}{-1}[/tex]
B. Divide the numbers
[tex]x=-11[/tex]
PLEASE HELP WILL MARK BRAINLIEST NO FAKE ANSWERS OR WILL BE REPORTED
Evaluate the expression IN EXPONENTIAL FORM
Answer:
-10 × -10= 100
dkfofjdnrjf
What is the slope of (-5,8) (-3,12)
Answer:
2
Step-by-step explanation:
12-8/-3-(-5)=4/2
m=4/2
Please help me solve this
no noeeeeeeeeeeeeeeeeed
Can a triangle have sides with the given lengths 8cm, 7cm, 9cm explain
Answer:
YES
Step-by-step explanation:
For a triangle of sides a, b, c, we must have the following to be true to have a triangle.
a + b > c > |a - b|
b + c > a > |b - c|
a + c > b > |a - c|
if a=8, b=7, and c=9, we have that:
8 + 7 > 9 > 8 - 7, 15 > 9 > 1. TRUE.
7 + 9 > 8 > 9 - 7, 16 > 8 > 2. TRUE.
8 + 9 > 7 > 9 - 8, 17 > 7 > 1. TRUE.
Thus, a triangle can have sides of 8 cm, 7 cm, 9 cm.
What is the value of x in the equation 2(x−3)+9=3(x+1)+x?
a. x = −3
b. x = −1
c. x = 0
d. x = 3
Answer:
x=0
Step-by-step explanation:
1st Step(Plug in 0 for x): 2(0-3)+9=3(0+1)+x
2nd Step(Simplify): 2*(-3)+9=3*(1)+x
3rd Step(Multiply): -6+9=3+x
4th Step(Add): 3=3+x
5th Step(Subtract 3 from both sides): x=0
For any questions saying what is the value of x in the equation, just plug in one of the options from a,b,c,d. And work from there
The equation y=1/9x represents the distance y, kilometers, that Patrick traveled in x minutes while training for the cycling portion of a triathlon. The table shows the distance y Jennifer traveled in x minutes in her training. Who has the faster training rate?
Answer:
Jennifer has the faster training rate.
Step-by-step explanation:
In order to determine the equation that represents the distance, y (in kilometers), that Jennifer traveled in x minutes:
Choose two ordered pairs from the table: (5, 40) and (64, 8).
Let (x1, y1) = (40, 5)
(x2, y2) = (64, 8)
Substitute these values into the slope formula:
m = (y2 - y1)/(x2 - x1)
m = (8 - 5)/(64 -40)
m = 3/24 = 1/8
Therefore, y = 1/8x represents the distance, y (in kilometers), that Jennifer traveled in x minutes.
In order to find out who has the faster training rate, choose one of the given x values from the table, and substitute it into Patrick's and Jennifer's equations:
Let x = 40:
Patrick:
y = 1/9x
y = 1/9(40)
y = 4.44 km ⇒ This represents the distance that Patrick traveled in 40 minutes.
In contrast, Jennifer traveled for 5 kilometers in 40 minutes (according to the given table). She reached a farther distance than Patrick, given their training time of 40 minutes.
Therefore, Jennifer has the faster training rate.
the perimeter of a rectangular field is 344m.if the length of the field is 93m.what is it’s width?
Answer:
79m
Step-by-step explanation:
344-(93x2)=158
158/2=79m
Step-by-step explanation:
perimeter = 344
length = 93
perimeter of rectangle = 2( l+ b )
344 = 2 (93 + b)
344÷2 = 93 + b
172 = 93 + b
172 - 93 = b
79 = b
in other words width is 79
hope it helps
–5(–2)=
i will mark branliest for whoever finds the integers! this is brain-hurting, please help :(
Answer:
-5(-2)=10
Step-by-step explanation:
Let be x
[tex] - 5 \times - 2 = x \\ take \: minus \: to \: rhs \: from \: lhs \\ 5 \times ( - 2) = - x \\ - 10 = - x \\ cancel \: minus \: on \: both \: sides \\ 10 = x[/tex]
Hi, I need help with this math . What is inpendent and dependent variable in question?
Here's the question: The formula for the surface area of a right rectangular prism is a=2LW+2HW+2H , where l, w, and h represent length, width, and height , respectively, which term of this formula is not dependent on the height?
1) A
2) 2LW
3) 2HW
4) 2LH
Answer:
Answer is option 2 (as it doesn't contain H)
Step-by-step explanation:
If you like my answer than please mark me brainliest
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
The term in the formula which isn't dependent on height is :
2.) 2LWplease help fast ^^
Using the discriminant, determine the number of real solutions,
-2x^2+x-28= 0
Ono real solutions
O one real solution
O two real solutions
The number of real solutions is 0, the correct answer is A.
How to use discriminant to find the property of solutions of given quadratic equation?Let the quadratic equation given be of the form ax^2 + bx + c = 0, then
The quantity b^2 - 4ac is called its discriminant.
The solution contains the term [tex]\sqrt{b^2 - 4ac}[/tex] which will be:
Real and distinct if the discriminant is positive
Real and equal if the discriminant is 0
Non-real and distinct roots if the discriminant is negative
There are two roots of a quadratic equations always(assuming existence of complex numbers). We say that the considered quadratic equation has 2 solution if roots are distinct, and have 1 solutions when both roots are same.
We are given that;
The equation -2x^2+x-28= 0
Now,
The discriminant of a quadratic equation ax^2 + bx + c = 0 is given by b^2 - 4ac. The discriminant can be used to determine the number of real solutions of the equation as follows:
If the discriminant is positive, there are two distinct real solutions.
If the discriminant is zero, there is one repeated real solution.
If the discriminant is negative, there are no real solutions.
In this case, the quadratic equation is -2x^2 + x - 28 = 0. Comparing it with the standard form, we can identify that a = -2, b = 1, and c = -28. Therefore, the discriminant is:
b^2 - 4ac
= 1^2 - 4(-2)(-28)
= 1 - 224
= -223
Since, the discriminant is negative, there are no real solutions for this equation.
Learn more about discriminant of a quadratic equation here:
https://brainly.com/question/18659539
#SPJ7
Someone, please help my teacher doesn't want to help me and ugh I'm frustrated. Any help would be great!
Answer:
my brother said it is 5 and 10... but i do not know if it is
what is the y-intercept from the following?
Answer:
the y intercept is -3
Step-by-step explanation:
if you need an explanation lmk!
Answer:
y- intercept = - 3
Step-by-step explanation:
The y- intercept is where the line crosses the y- axis.
This occurs when the x- coordinate is zero
From the table
when x = 0 , then y = - 3 ← y- intercept
maths .....................
Answer:
in simplify this is- 9a2i+42ab+49b2
Step-by-step explanation:
Choose the grid reference number for the mine shown.
A. 631226
B. 126362
Answer:
631226
Step-by-step explanation:
The grid reference number for the mine shown is (63.35, 12.7).
What is coordinate plane?A coordinate plane is a two-dimensional surface formed by two number lines. It is formed when a horizontal line (the X-axis) and a vertical line (the Y-axis) intersect at a point called the origin. The numbers on a coordinate grid are used to locate points.
From the given grid,
The reference point is (63.35, 12.7)
Therefore, the grid reference number for the mine shown is (63.35, 12.7).
Learn more about the coordinate plane here:
https://brainly.com/question/24134413.
#SPJ2
Anna says that 5 1/3 is not a rational number because it’s not in the fraction form of a/b. Do you agree? plsss help
Answer:
No.
Step-by-step explanation:
A rational number is a number that can be written in the form a/b, where a and b are integers. A rational number does not have to be written in the form a/b. I just needs to be able to be written in that form.
Can 5 1/3 be written as a fraction of integers?
5 1/3 = 5 + 1/3 = 15/3 + 1/3 = 16/3
5 1/3 = 16/3
16/3 is in the form a/b, where a and b are integers.
Since 5 1/3 can be written as a fraction of integers, it is rational.
Anna is incorrect.
point S lies an AB. If AB=34 units, AS=5+2x units, and SB=x+2 units, what is the length of AS in units?
Answer:
5+2x+x+2=34
7+3x=34
7-7+3x=34-7
3x=27
3x/3=27/3
x=9
5+2x=AS
5+(2*9)=AS
5+18=AS
23=AS
23 units
Step-by-step explanation:
[tex]Simplify: \frac{ 5×(25)^{n+1} - 25 × (5)^{2n}}{5×(5)^{2n+3 }- (25)^{n+1}} \\ [/tex]
Correct answer please
[tex] \green{\large\underline{\sf{Solution-}}}[/tex]
Given expression is
[tex]\rm :\longmapsto\:\dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } [/tex]
can be rewritten as
[tex]\rm \: = \: \dfrac{5 \times { {(5}^{2} )}^{n + 1} - {5}^{2} \times {5}^{2n} }{5 \times {5}^{2n + 3} - {( {5}^{2} )}^{n + 1} } [/tex]
We know,
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ {( {x}^{m} )}^{n} \: = \: {x}^{mn}}}} \\ [/tex]
And
[tex] \purple{\rm :\longmapsto\:\boxed{\tt{ \: \: {x}^{m} \times {x}^{n} = {x}^{m + n} \: }}} \\ [/tex]
So, using this identity, we
[tex]\rm \: = \: \dfrac{5 \times {5}^{2n + 2} - {5}^{2n + 2} }{{5}^{2n + 3 + 1} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 4} - {5}^{2n + 2} } [/tex]
can be further rewritten as
[tex]\rm \: = \: \dfrac{{5}^{2n + 2 + 1} - {5}^{2n + 2} }{{5}^{2n + 2 + 2} - {5}^{2n + 2} } [/tex]
[tex]\rm \: = \: \dfrac{ {5}^{2n + 2} (5 - 1)}{ {5}^{2n + 2} ( {5}^{2} - 1)} [/tex]
[tex]\rm \: = \: \dfrac{4}{25 - 1} [/tex]
[tex]\rm \: = \: \dfrac{4}{24} [/tex]
[tex]\rm \: = \: \dfrac{1}{6} [/tex]
Hence,
[tex]\rm :\longmapsto\:\boxed{\tt{ \dfrac{5 \times {25}^{n + 1} - 25 \times {5}^{2n} }{5 \times {5}^{2n + 3} - {25}^{n + 1} } = \frac{1}{6} }}[/tex]
To make rice in a factory, Lois mixes rice and water in the ratio 2 : 3. If she uses 10 cups of rice, how many
cups of water does she need?
Answer:
15 cups
Step-by-step explanation:
2:3
10:?
2x5:3x5
10:15
5.3g + 8 = 3.3g + 20
Answer:
g = 6
Step-by-step explanation:
Step 1: Subtract 3.3g from both sides.
Step 2: Subtract 8 from both sides.
Step 3: Divide both sides by 2.
(hope this helps) :)
What is the standard form of function f?
f(x)=4(x+6)+5
Substitute numerical values into the equation for a, b, and c.
Answer:
A = 4; B = -1 ; C = -29
Step-by-step explanation:
y = 4(x + 6) + 5
y = 4x + 24 +5
y = 4x + 29
Standard form: Ax + By = C
4x - y = -29
Answer:
Step-by-step explanation:
Hope this Helps ;)
solve equation s - 12= 20. s=?
Answer:
s = 32
Step-by-step explanation:
We have our equation:
s - 12 = 20
And we are trying to find s. Therefore, we can isolate the variable s, which means we have to move all the values from the variables side to the other side, like so:
s - 12 = 20
+12 +12 (we add 12 to both sides in order to cancel out the -12, and also because whatever we do to one side, you have to do to the other!)
So, now our equation will look like this:
s = 20 + 12,
or,
s = 32
Which happens to be our answer!
Hope this helps :)
Can 0.06 be rational or irrational???
Step-by-step explanation:
it would be irrational insta dfl.jacob if you need more help
Answer:
Rational
Step-by-step explanation:
0.06=3/50
Can someone pls help me
Answer: help what?????
Step-by-step explanation:
Anyone know thiss?I need helpppp!!
Answer:
5)
V= 1,-4
S) x=1
Min= 1,-4
zeros= (-1,0)(3,0)
6)
V= -2,0
S= x=-2
min= -2,0
zeros= -2,0
heyy everyone a little halp here i kinda need it fast sorry
The heights of Rahul, Akash, Meera and Lakshmi are 1.54m, 1500mm,
152cm,1560mm respectively.
a) Arrange their heights in ascending order.
b) Who is the tallest among them?
Answer:
A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)
B) Lakshmi is the tallest, 1.56m tall
Step-by-step explanation:
Rahul- 1.54m
Akash- 1500mm
Meera- 152cm
Lakshmi- 1560mm
Let's start by converting all the measurements to meters.
Rahul is already in meters, so he can just stay the same.
1500mm = 1.5m
152cm = 1.52m
1560mm = 1.56m
So our new measurements are:
Rahul- 1.54m
Akash- 1.5m
Meera= 1.52m
Lakshmi= 1.56m
We can now make our conclusions.
A) Akash (1.5m), Meera (1.52), Rahul (1.54m), Lakshmi (1.56m)
B) Lakshmi is the tallest, 1.56m tall
Answer:
Step-by-step explanation:
Let's convert all the heights to meters:
Rahul 1.54m
Akash 1.50 m
Meera 1.52 m
Lakshmi 1.56m
Now, let's arrange their heights in ascending order (shortest to tallest):
Akash 1.50 m
Meera 1.52 m
Rahul 1.54m
Lakshmi 1.56m
a) 1500 mm, 152 cm, 1.54 m, 1560 mm
b) therefore Lakshmi is the tallest.
Solve. If this is no solution write s { }
5x-9>8+5x
Taylor has $150 to spend on small canvases and paints for her art classes. The art supply store sells a four-pack
of small canvases for $4.00 and paints for $6.25, including tax.
Which inequality represents this situation where is the number of four-packs of canvases and p is the number of
paints Taylor purchases?
O4c+ 6.25p < 150
O 40+ 6.25 > 150
O 6.25c+ 4p > 150
O 6.25c +4p < 150
Answer:A
Step-by-step explanation:
Consider the system of equations.
5x + 2y = 12
5x – 2y = 28
What is the solution to the system of equations? Show work using substitution or elimination to support your answer.
A (4, -4)
B (-4, 4)
C (5, -6.5)
D (4, 16)
Answer:
A. (4, -4)
Step-by-step explanation:
Equation form x = 4, y = −4
Answer:
Option A
Step-by-step explanation:
5x + 2 y = 12 -----------(I)
5x - 2y = 28 ------------(II)
Add equation (I) & (II). So, y will be eliminated and we will get the value of x
(I) 5x + 2y = 12
(II) 5x -2y = 28 {Now add}
10x = 40
x = 40/10
x = 4
Plugin x = 4 in equation (I)
5*4 + 2y = 12
20 + 2y = 12
2y = 12 - 20
2y = -8
y = -8/2
y = -4
i am a factor of 12 the other factor is three what number am i