Answer:
X < -3
Step-by-step explanation:
First, you would want to distribute the 4 to the x and the -7. Distribution is just multiplying. So it would be 4x - 28. Then youd combine the like terms which would be 6x and 8x. Add them. You’re inequality should look like this.
4x - 28 > 14x + 2
you need to get the x’s all on one side. I suggest subtraction -4x from both sides to not only cancel out the 4x but it also keeps both sides equal
-28 > 10x + 2
you need to get 10x by itself on the right side so you must subtract 2 from both sides to equal and remove 2
-30 > 10x
divide both sides by 10 to get x by itself
-3 > x
which is the same as x < -3
are the equations 2x - y = - 4 and 3x + y = -1 dependent, independent or neither
Answer:
From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.
Step-by-step explanation:
Given the system of equations
[tex]\begin{bmatrix}2x-y=-4\\ 3x+y=-1\end{bmatrix}[/tex]
[tex]\mathrm{Multiply\:}2x-y=-4\mathrm{\:by\:}3\:\mathrm{:}\:\quad \:6x-3y=-12[/tex]
[tex]\mathrm{Multiply\:}3x+y=-1\mathrm{\:by\:}2\:\mathrm{:}\:\quad \:6x+2y=-2[/tex]
[tex]\begin{bmatrix}6x-3y=-12\\ 6x+2y=-2\end{bmatrix}[/tex]
[tex]6x+2y=-2[/tex]
[tex]-[/tex]
[tex]\underline{6x-3y=-12}[/tex]
[tex]5y=10[/tex]
so the system of equations becomes
[tex]\begin{bmatrix}6x-3y=-12\\ 5y=10\end{bmatrix}[/tex]
solving 5y = 10 for y
[tex]5y=10[/tex]
Divide both sides by 5
[tex]\frac{5y}{5}=\frac{10}{5}[/tex]
simplify
[tex]y=2[/tex]
[tex]\mathrm{For\:}6x-3y=-12\mathrm{\:plug\:in\:}y=2[/tex]
[tex]6x-3\cdot \:2=-12[/tex]
[tex]6x-6=-12[/tex]
Adding 6 to both sides
[tex]6x-6+6=-12+6[/tex]
[tex]6x=-6[/tex]
Divide both sides by 6
[tex]\frac{6x}{6}=\frac{-6}{6}[/tex]
[tex]x=-1[/tex]
Therefore, the solution to the system of equations be:
[tex]x=-1,\:y=2[/tex]
From the above calculations, it is clear that the consistent system has exactly one solution i.e. x = -1, y =2, therefore, it is independent.
Which graph represents the function h(x) = |x| + 0.5?
Answer:
B
Step-by-step explanation:
Determined to find the slope
(1 7K), and (-3,5K)
Answer: [tex]\dfrac{K}{2}[/tex] .
Step-by-step explanation:
As we know ,
The slope of a line that passes through [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex] is given by :
[tex]\dfrac{y_2-y_1}{x_2-x_1}[/tex]
The slope of a line that passes through (1 , 7K), and (-3,5K) =
[tex]\dfrac{5K-7K}{-3-1}\\\\=\dfrac{-2K}{-4}\\\\=\dfrac{K}{2}[/tex]
Hence, the slope of the given line is [tex]\dfrac{K}{2}[/tex] .
Mikaela will invest $2,500 in an account that pays her 7.5% over 2 years. How much interest will she receive? Also, how much will she make total?
Answer:
i. $375
ii, $2875
Step-by-step explanation:
Given
Princinpal= $2,500
rate= 7.5%
time= 2 years
Required,
The simple interest, and the final amount
Step two:
SI= PRT/100
SI= 2500*7.5*2/100
SI=37500/100
SI=$375
The simple interest is $375
And the final amount = $2,500 +$375= $2875
What's is the range 124 136 234 229 150
116 110 159 275 105
175 158 185 162 125
215 167 126 137 116
Answer:
the range is from 105 to 234
Step-by-step explanation:
Which expression is equivalent to (-7-4i)(6+7i)?
Answer:
Step-by-step explanation:
-14 - 73 i
Answer:
-28i^2-73i-42
Step-by-step explanation:
(−7)(6)+(−7)(7i)+(−4x)(6)+(−4i)(7i)
= −42−49i−24i−28i^2
= -28i^2-73i-42
The taxi driver charges $3.50 just to get in the cab and then $2.50 per mile. If Lisa travels m miles, which equation
tells Lisa how much she will have to pay for her taxi ride, r?
A r = 2.5 +3.5
B = 3.5m + 2.5
r= 2.5m + 3.5
Dr= 2.5m - 3.5
Answer:r=2.5m+3.5
Step-by-step explanation:
please help me!!!
asap please please please
Answer:
I'm pretty sure its the 3rd answer
Answer:C
Step-by-step explanation:
For every white square there is 3 blue squares, so you look around the white swuare and around each white square is 3 blue squares
A recipe uses 5 cups of flour for every 2 cups of sugar.
How much sugar is used for 1 cup of flour?
How much flour is used for 1 cup of sugar?
How much flour is used with 7 cups of sugar?
How much sugar is used with 6 cups of flour?
Answer:
2.5
Step-by-step explanation:
5 divided by 2= 2.5
Answer:
2.5
Step-by-step explanation:
PLZ HELP NOW!!!! PLEASEE
Sofia is making quarter circle felt pieces for a sewing project. If the diameter of one full circle is 4.6 inches, what is the area of each quarter circle rounded to the nearest hundredth? use 3.14
3.61
4.15
16.61
66.44
Answer:
4.15
Step-by-step explanation:
what is 5 divided by 5
Answer:
1
Step-by-step explanation:
You have 5 jelly beans and 4 imaginary friends
You have to split the jellybeans between yourself and your pretend friends.
Each of you gets 1 jellybean
(Except you get all the jellybeans because your friends don't exist)
Hope this helps :)
Plz help ASAP this is important
Answer:
Option 3
Step-by-step explanation:
10x11=110 +3=113
113/11
Answer:
30/11
Step-by-step explanation:
this answer is 30/11
What is the domain and range?
Answer:
Domain is your x max and Min, Range is your y max and Min
Step-by-step explanation:
Domain would be -5 to 8 or (-5,8)
range would be -3 to 2 or (-3,2)
Answer:
Domain is every value on the x axis that the line in on. -5 -4 -3 -2 -1 0 1 2 3 4 5 6 7 8 is the domain or -5 to 8. The range is every Y value.
Step-by-step explanation:
Basically, Domain is the x values of the whole line and range are the y values for the whole line. Hope I helped <3
Question 4
At the beginning of each quarter, $100 is deposited into a saving account that pays 12% compounded monthly.
Find the future value (compound amount) of annuity for two years.
Answer:
$288
Step-by-step explanation:
12% monthly
144% yearly.
100*1.44*2 = all
all = 288
Hope this helps plz hit the crown :D
4. -5x-15=-3x+23
29. -107-7x=73-13x
EXPLAIN STEPS AND SHOW WORK
THANKS BROTHA
`•••~Low_Millenial~•••`
°°°°°°Tutor and pal°°°°°°°
Answer:
x=-19 x=30
Step-by-step explanation:
-5x-15=-3x+23
-23 -23
-5x-38=-3x
+5x +5x
-38=2x
/2 /2
-19=x
-107-7x=73-13x
-73 -73
-180-7x=-13x
+7x +7x
-180=-6x
30=x
Please help!!!! I will mark brainliest!!
Answer:
1 4 6 8 Have a good night ✨ ☺
Which table represents a linear function?
it must be the first one 1/2,1,1 1/2,2 are came in order it forms a straight line
Answer:
This table represents a function. none of the independent values (X) are repeated and each has only one corresponding depedent value (Y).The next table does not represent a function.The X column has two values that are 3, and they correspond to two different values for Y.
Write the equation of the line fully simplified slope-intercept form
Answer:
y = 4/3x - 3
Step-by-step explanation:
y = mx + b
m is the slope and b is the y - intercept
The slope is rise/run, count how much it rises, or goes down, and how much it goes to the right. So there are points highlighted for us already, pick 2 points and count the units between them for rise it's 4, for run it's 3. So the slope is 4/3
b is the y-intercept, it's where the line goes through the y-axis, in this case it's -3
So plug the numbers in and it's y = 4/3x - 3
Clara buys a sweater that is on sale for 1/4 off She says the total amount she
will pay will be equal to 3/4 of the original price of the sweater.
Is she correct?
HELP PLEASE!!
What is Y
Please Help and be honest !
Do you “binge-watch” television series by viewing multiple episodes of a series at one sitting? A survey of 800 people who “binge-watch” were asked how many episodes is too many to watch in one viewing session. The results are displayed in the bar chart.
Is this Quantitive or Categorical?
--------------------------------------------------------------------------------------------------------------------------------
ALSO:
Explain how this graph is misleading.
A. The bars are various heights
B. The words at the end
C. The vertical axis doesn't show zero
D. None of the above
Answer:
D or C
Step-by-step explanation:
Need help with question 4
9514 1404 393
Answer:
16/7
Step-by-step explanation:
If the segments are congruent, their lengths are equal:
(1/2)x -3 = 5 -3x
(3 1/2)x = 8
x = 8/(3.5) = 16/7
The value of x is 16/7.
_____
Comment on the question
This value of x makes the lengths of the segments be -13/7 units. Usually, negative lengths are considered impossible for line segments.
Use the commutative property of multiplication to rewrite 10.5.12. Which expression is equivalent? O A. 10.5.(5+5) OB. 10. 12.5 O C. (10.5) + 12 OD. 10 + 5 + 12
Answer:
b
Step-by-step explanation:
i did the math for over an hour and got the same answer 25 times
Brooke measures the height of her bean plant for a science project. The bean plant is 12.5 inches tall.
How many centimeters tall is Brooke’s bean plant?
Answer:31.75 centimeters
Step-by-step explanation:
what is the value of the digit 2 in 92153
Answer:
thousand is the correct answer :)))
Sam is 27 years old. His age is 6 years greater than 3 time's brandon's age. Which methond can be used to determine Brandon's age?
I NEED HELP
Answer:
Brandon is 7 years old. You just substitute. It's an age word problem.
Step-by-step explanation: Substitute it. 7 times 3 (times Brandon's age) is 21 then add the 6 (years greater).
Answer:
Brandon is 7 years old. You just substitute. It's an age word problem.
Step-by-step explanation: Substitute it. 7 times 3 (times Brandon's age) is 21 then add the 6 (years greater).
Step-by-step explanation:
the distance between -3.17 and 0 on a number line is 3.17 units?
Answer:
Yes
Step-by-step explanation:
The absolute value, or distance of -3.17 from 0, is 3.17 units. The distance from 0 will always be postiive, because you can never be -5 units away from zero.
Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly. Assuming no deposits or withdrawals are made, how much money, to the nearest dollar, would be in the account after 7 years?
Answer:
A≈107902
Step-by-step explanation:
The $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly
What is compound interest?It is defined as the interest on the principal value or deposit and the interest which is gained on the principal value in the previous year.
We can calculate the compound interest using the below formula:
[tex]\rm A = P(1+\dfrac{r}{n})^{nt}[/tex]
Where A = Final amount
P = Principal amount
r = annual rate of interest
n = how many times interest is compounded per year
t = How long the money is deposited or borrowed (in years)
We have:
p = $90,000
r = 2.6% = 0.026
n = 4
t = 7 years
[tex]\rm A = 90,000(1+\dfrac{0.026}{4})^{4\times7}[/tex]
A = $107,901.71 ≈ $107,902
Thus, the $107,902 will be in account after 7 years if Ian invested $90,000 in an account paying an interest rate of 2.6% compounded quarterly.
Learn more about the compound interest here:
brainly.com/question/26457073
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what is 11010base2 - 1101base2
Answer:
###########################
Step-by-step explanation:
lkaooassss