Examine the solution to the equation
-6(x + 5) + 3 = -2(x + 4) - 4x
-6x - 30 + 3 = -2x - 8 - 4x
-6x-27 = -6x - 8
Which statements accurately describe this equation?
Check all that apply.
This equation has one solution.
This equation has no solution.
This equation has infinitely many solutions.
Any input value for the variable will generate a true
equation
O Any input value for the variable will generate a false
equation.
-27 = -8
Answer:
option (2) and (5) is correct.
2) This equation has no solution.
5) Any input value for the variable will generate a false equation.
Step-by-step explanation:
Given a solution to the equation,
-6( x + 5) + 3 = -2( x + 4) - 4x
⇒ –6x – 30 + 3 = –2x – 8 – 4x
⇒ –6x – 27 = –6x – 8
⇒ –27 = – 8
Which is false statement as -27 is never equal to -8.
Thus, This equation has no solution.
Also, if we substitute any value of x , then also the equality never hold.
For example lets put x = 1 in -6( x + 5) + 3 = -2( x + 4) - 4x , we get,
⇒ -6( 1 + 5) + 3 = -2( 1 + 4) - 4(1)
⇒ -6( 6) + 3 = -2(5) - 4
⇒ -36 + 3 = -10 - 4
⇒ -33 = -14
Still the value is false as -33 is never equal to -14.
Any input value for the variable will generate a false equation.
Thus, option (2) and (5) is correct.
The Guiness Book of World Records holder for Fastest Rapper is a guy
from Seattle named NoClue. He can rap 70 syllables in just 5 seconds. (He
actually did 723 in 51.27 seconds). What is his speed in syllables per
second?
Answer:
Write a ratio.
70 : 5
x : 1
To solve for x, cross multiply.
70 : 5x
Divide both sides by 5.
14 = x
So, NoClue can rap 14 syllables per second.
:)
please help me with mathhhh.
Answer:
B
Step-by-step explanation:
You can't multiply only one side of an equation by anything. That would make it unbalanced, and math is all about balancing equations.
cual es el.producto 1/2 y 5/6
Answer:
5/12
Step-by-step explanation:
1/2 × 5/6 = 5/12
Step-by-step explanation:
can you write it in english
I need help please each number has its own equation number it off please
Diana made 143 treats for her visit to the nursing home. There are 37 patients and she wants each person to get the same number of treats. How many more treats will she need to make in order for each patient to receive 4 treats?
Answer:
5 more treats
Step-by-step explanation:
The total number of treats if she gives each person 4 treats is
. 37 people * 4 treats = 148 treats
Subtract 143 (number of treats she has) from 148 (total number of treats to give out)
. 148 treats - 143 treats = 5 treats
143 treats
37 patients
to find:how many treats will she need to make in order for each patient to receive 4 treats.
solution:[tex]4 \times 37[/tex]
[tex] = 148[/tex]
[tex] = 148 - 143[/tex]
[tex] = 5[/tex]
therefore, she'll have to make 5 treats more in order for each patient to receive 4 treats
answer= option D
5. Find the triangle similar to AABC at the right.
Answer:
the answer is b
Step-by-step explanation:
Matilda and Nancy are miles apart, bicycling toward each other on the same road. Matilda rides miles per hour and Nancy rides at miles per hour. In how many hours will they meet
Answer:
it will take 3 hours For them to cover 60 miles and meet
Step-by-step explanation:
In pic
(Hope this helps can I pls have brainlist (crown)☺️)
how to find the slope of 1,4 and 0,11
Answer:
y2-y1 over x2-x1, typically the second or set of the higher numbers would be #2 so im taking 0,11 as #2
Step-by-step explanation:
7 i believe
Answer:
y2-y1/x2-x1
11-4/1-0
7/1
slope = 7
Consider the function given by the graph. What are
these values?
fl-2) =
10) =
f(4) =
Answer:
f(-2) = 2
f(0) = 4
f(4) = -1
Step-by-step explanation:
Given the graph of a piecewise function:
[tex]\displaystyle\mathsf{f(x) = \left \{ {{x\:+\:4\quad if\:\:x\leq \:0} \atop {-\frac{1}{2}x\:+\:1\quad if\:\:x\: >\:0}} \right.}\\[/tex]
Side note:
I used the method of finding the linear equations in slope-intercept form to establish the piecewise function. First, I solved for the slope by choosing two points in each defined interval. Then, I plugged in the y-intercepts of each interval, for f(x) = x + 4: the y-intercept is (0, 4) where b = 4; for f(x) = -½x + 1, the y-intercept is (0, 1) where b = 1.
Explanation:There are two methods for determining the range values of the given domain values.
Method 1: The first method is using the graph to find the corresponding range values of the given domain {-2, 0, 4}.
Method 2: Alternatively, we could use the rules provided by the piecewise function in evaluating the following domain values. This post will use the second method (using the piecewise function) to evaluate the input values.
Regardless of the method used, the results will remain the same.
f(-2)Since the input value is x = -2, then we must use the function, f(x) = x + 4:
f(x) = x + 4
f(-2) = -2 + 4
f(-2) = 2
Therefore, the range value given the domain, x = -2 is 2, or simply: f(-2) = 2.
f(0)
Given the input value is x = 0, then we must also use the function, f(x) = x + 4:
f(x) = x + 4
f(0) = 0 + 4
f(0) = 4
Therefore, the range value given the domain, x = 0 is 4, or f(0) = 4.
f(4)
Since the input value is x = 4, then we must use the function, f(x) = -½x + 1:
f(x) = -½x + 1
f(4) = -½(4) + 1
f(4) = -2 + 1
f(4) = -1
Therefore, the range value given the domain, x = 4 is -1, or f(4) = -1.
what should be the factors of denominator so that a rational number
a) 2or5
b) only 2
c) only 5
d) 2 and 5
Answer:
Step-by-step explanation:
D
Step-by-step explanation:
according to me option A 2 or 5
he saves £85 each month for the trip.
he will save for 4 month s.
how much will he save in total?
show your working?
plz help on this question;WORK OUT,1+2+3(1+2+3)
Answer:
21
Step-by-step explanation:
1) Simplify 1 + 2 to 3.
1 + 2 + 3 × ( 3 + 3 )
2) Simplify 3 + 3 to 6.
1 + 2 + 3 × 6
3) Simplify 3 × 6 to 18.
1 + 2 + 18
4) Simplify 1 + 2 to 3.
3 + 18
5) Simplify.
21
miggy ask to solved the given quadratic equation x²+8x-20=0 using the quadratic formula,Help miggy to determine the following
roots of the quadratic 3
discriminant
nature of roots
sum of the roots
product of the roots
[tex]▪▪▪▪▪▪▪▪▪▪▪▪▪ {\huge\mathfrak{Answer}}▪▪▪▪▪▪▪▪▪▪▪▪▪▪[/tex]
roots of the quadratic equation ~
[tex]2 \: \: \: \:a nd \: \: - 10[/tex]discriminant ~
[tex]144[/tex]nature of roots ~
[tex]real[/tex]sum of the roots ~
[tex] - 8[/tex]product of the roots ~
[tex] - 20[/tex][tex] \large \boxed{ \mathfrak{Step\:\: By\:\:Step\:\:Explanation}}[/tex]
Let's solve he given quadratic equation using quadratic formula ~
Let's consider the following values ~
b (Coefficient of x) = 8 a (Coefficient of x²) = 1 c (Constant term) = -20According to quadratic formula, the roots are ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac } }{2a} [/tex]where, ( b² - 4ac ) is known as it's discriminant ~
that is equal to ~
[tex](8) {}^{2} - (4 \times 1 \times - 20)[/tex][tex]64 - ( - 80)[/tex][tex]64 + 80[/tex][tex]144[/tex]Hence, Discriminant = 144
And since discriminant is positive, then the roots of the quadratic polynomial are real .
Let's find the roots now ~
[tex] \dfrac{ - b \pm \sqrt{b {}^{2} - 4ac} }{2a} [/tex][tex] \dfrac{ - 8 \pm \sqrt{144} }{2 \times 1}[/tex][tex] \dfrac{ - 8 \pm12}{2} [/tex][tex] \dfrac{ 2( - 4 \pm6)}{2} [/tex][tex] - 4 \pm6[/tex]So, the two roots are ~
[tex] - 4 + 6[/tex][tex]2[/tex]and
[tex] - 4 - 6[/tex][tex] - 10[/tex]Sum of roots ~
[tex] - 10 + 2[/tex][tex] -8[/tex]product of roots ~
[tex] - 10 \times 2[/tex][tex] - 20[/tex]find the percentage change of 20 to 25
Answer:
Percentage change should be 25%
Step-by-step explanation:
25 - 20
---------- x 100%
20
5
---- x 100% = 25% increase
20
25 percent increase
Need help with this ASAP I’ll mark brainliest
Answer:
g = 30 ft
Step-by-step explanation:
Using Pythagoras' identity in the right triangle
The square on the hypotenuse g is equal to the sum of the squares on the other 2 sides , that is
g² = 18² + 24² = 324 + 576 = 900 ( take square root of both sides )
g = [tex]\sqrt{900}[/tex] = 30
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
Solve the system of linear equations by elimination.
3x−30=y
7y−6=3x
You bought for hamburgers you gave the cashier $50 bill and get $22 change how much was each hamburger
!!!!!!!!5 step plan please!!!!!!!!
What is the measure of x?
Z
Х
ТУ
4
9
x = [?] ✓
=
Give your answer in simplest form.
Enter
Answer:
x = 2√13
Step-by-step explanation:
The geometric mean relationships in this geometry tell you that x is the geometric mean of the short segment of the hypotenuse (4) and the entire hypotenuse (13).
x = √(4·13)
x = 2√13
__
For more information, see https://brainly.com/question/25712788
Please lmk, thank you.
Answer:
True
Step-by-step explanation: I gotchu friend
60 divided by the ratio of 7:3
Winston’s owner increased the amount of dog food he eats every day from 40 grams to 48 grams. By what percentage did Winston increase the amount of dog food he eats?
Answer:
the answer is 20% increase I used a calculator but you should be able to do that math by taking 40 dividing by five where that ends up being 8 that is 20 percent of 40 so adding that back to the original amount is a 20 percent increase hope this helps
Step-by-step explanation:
An electrician cuts 28 feet piece wire into two pieces one piece is 4 feet longer than the other how long are the pieces
!!!!5 step plan!!!!!
Answer:
12 and 16
Step-by-step explanation:
Turn it into algebra.
Make one of the pieces x. So x+4 is the piece that is 4 feet longer and x is the piece that it is 4 feet longer than.
So x+4+x=28, which is the total length, and if you simplify it, it makes 2x+4=28.
Then you just solve it, so do 28-4=24, and then divide that by 2, which gets 12.
Then you substitute 12 where x has been substituted for the pieces.
One piece is x feet, so that just stays 12, and another piece is x+4, so 12+4 which is 16.
To make sure it's correct, you can check it by doing 16-12=4 and add 12 and 16 together which gets the correct total of 28.
In a sale, the price of a jacket is reduced.
The jacket has a normal price of £52
The jacket has a sale price of £41.60
Work out the percentage reduction in the price of the jacket.
I run 960 hm and my friend run 960 dam. How many km do we run in total?
Answer:
105.6 km
Step-by-step explanation:
Use: King Henery Doesn't Usually drink chocolate milk
K in king stands for kelo
H in Henery stands for hecto
D in Doesn't stands for deka
U in Usually stands for Meters, Liters, and Grams
d in drink stands for Deci
c in chocolate stands for Centi
And m in milk stands for milli
ben baked 6 times as many cookies as francis. francis baked 42 cookies. how many cookies did ben bake
Answer:
252
Step-by-step explanation:
If Francis baked 42 cookies, that means ben backed 252, because you can add 42 plus 42 plus 42 blah blah blah 6 times, and it gets you 252. Or you can just do 42 times 6.
PLS HELP ASAP ILL GIVE BRAINLKEST
Answer:
number 5
Step-by-step explanation:
an equal sign means "is not equal to"
Class:
ons
Notes/Examples
Parts of an Isosceles Triangle:
• The angle where the legs intersect is called the
• The side opposite the vertex angle is called the
• The angles along the base are called
Answer:
Vertex angle.Base.Base angles.Step-by-step explanation:
Using the Base Angles Theorem to define the terms relating to an isoceles triangle:
The Base Angles Theorem states that if the two sides of a triangle are congruent, then it means that the angles opposite to those sides are also congruent.An isoceles triangle has two congruent sides, referred to as the legs. As the legs of a triangle are slanted, they will intersect at a point known as the vertex angle. The side that is opposite to the vertex angle is the base of the triangle.
Therefore, the following are the missing terms in the given problem:
The angle where the legs intersect is called the vertex angle.The side opposite the vertex angle is called the base.The angles along the base are called base angles.Solve for X and find M Find m
Step-by-step explanation:
3x-28=2x-9
3x-2x=28-9
x=19°
For angle FGH = 2x-9° = 38°-9° = 29°.
For angle HGI = 3x-28° = 57°-28° = 29°.
For angle FGI = 29°+29° = 58°.
hope this helps you.
help please??????????????????
Answer:
-5 and 2
-2 and -1
-3 and 0
There is no shortcut to solving this type of problem. You just have to use trial and error.
:)
Answer:
-2+ (-3)
-5+ 0
-1+ (-2)+ (-2)
Hope this helps!
LMK if it does