Answer:
(a): x is 3 and ky is -1
(b): k is -2
Step-by-step explanation:
Let: 3x + ky = 8 be equation (a)
x - 2 ky = 5 be equation (b)
Then multiply equation (a) by 2:
→ 6x + 2ky = 16, let it be equation (c)
Then equation (c) + equation (b):
[tex] { \sf{(6 + 1)x + (2 - 2)ky = (16 + 5)}} \\ { \sf{7x = 21}} \\ { \sf{x = 3}}[/tex]
Then ky :
[tex]{ \sf{2ky = 3 - 5}} \\ { \sf{ky = - 1}}[/tex]
[tex]{ \bf{y = \frac{1}{2} }} \\ { \sf{ky = - 1}} \\ { \sf{k = - 2}}[/tex]
Simultaneous equations are used to represent a system of related equations.
The value of k when [tex]y = \frac 12[/tex] is -2
Given that:
[tex]3x + ky = 8[/tex]
[tex]x - 2ky = 5[/tex]
[tex]y = \frac 12[/tex]
Substitute [tex]y = \frac 12[/tex] in both equations
[tex]3x + ky = 8[/tex]
[tex]3x + k \times \frac 12 = 8[/tex]
[tex]3x + \frac k2 = 8[/tex]
[tex]x - 2ky = 5[/tex]
[tex]x - 2k \times \frac 12 = 5[/tex]
[tex]x - k = 5[/tex]
Make x the subject in [tex]x - k = 5[/tex]
[tex]x = 5 + k[/tex]
Substitute [tex]x = 5 + k[/tex] in [tex]3x + \frac k2 = 8[/tex]
[tex]3(5 + k) + \frac k2 = 8[/tex]
Open bracket
[tex]15 + 3k + \frac k2 = 8[/tex]
Multiply through by 2
[tex]30 + 6k + k = 16[/tex]
[tex]30 + 7k = 16[/tex]
Collect like terms
[tex]7k = 16 - 30[/tex]
[tex]7k = - 14[/tex]
Divide both sides by 7
[tex]k = -2[/tex]
Hence, the value of constant k is -2.
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Evaluate the function for x =2 and x = 6
f(x) = 4x −3
[tex]2(a+11)=-3(16-a)\\\\ also this\\2(x+10)=2(3x-8)[/tex]
can ya'll solve this for me please
Answer:
sorry no
Step-by-step explanation:
Ryan went for a drive in his new car. He drove at a speed of 62 miles per hour for 99.2 miles. For how many hours did he drive?
Answer: well you should take notes go review what your teacher has taught you and take notes then go back to that question and you should know hope this helps
Step-by-step explanation:
can i please have help with this question branliest for the correct answer
Answer:
y = -4x+2
Step-by-step explanation:
To find a perpendicular line, the slope would be -4.
y=-4x
Since the point it has to go through is (0,2), the y-intersept is already given.
y = -4x+2
Which of the following triangles shows a centroid?
Answer:
first option
Step-by-step explanation:
I DONT KNOW AHHHHHH
[tex]0.399 + w = 0.4[/tex]
Answer:
[tex] \sf \: w = 0.001[/tex]
Step-by-step explanation:
Now we have to,
→ find the required value of w.
The equation is,
→ 0.399 + w = 0.4
Then the value of w will be,
→ 0.399 + w = 0.4
→ w = 0.4 - 0.399
→ [ w = 0.001 ]
Hence, the answer is 0.001.
Help me
22 + 33 - 44 = ?
Answer:
22 + 33 = 55
55 - 44 = 11
hence 11 is the answer
Answer:
11 luv:)
Step-by-step explanation:
What is the value of x?
A. 73°
B. 71°
C. 70°
D. 68°
We have: 540° = 180° - x° + 180° - 52° + 93° + 180° - (x+3)° + 180° - 78°
⇒ 2x° = 140° ⇒ x° = 70°
The answer is C. 70°
ok done. Thank to me :>
m(arc DE)=105 and M(arc BC)=70 Find M
Answer:
a. 70
Step-by-step explanation:
solve the ratio with solution nonsense=report
1.23:67
2.67:89
During a sale at a furniture store, sofas were marked down 30%. You have a coupon for an additional 15% off. What is the final price of a sofa that originally cost $550?
Answer:
327.25
Step-by-step explanation:
550*0.7=385
385*0.85=327.25
!!! MUST REMEMBER!!!
dont add 30% and 15% together, 15% is another discount on the price that has been marked down.
The final price of a sofa will be $302.5.
What is mean by Percentage?
A number or ratio that can be expressed as a fraction of 100 or a relative value indicating hundredth part of any quantity is called percentage.
To Calculate the percent of a number , divide the number by whole number and multiply by 100.
Given that;
The original price of a sofa = $550
During sale at a furniture store, sofas marked down = 30%
Coupon for an additional 15% off.
Now,
Total percent for profit on a sofa = 30% + 15%
= 45%
Hence, The cost of a sofa after discount will be calculate as;
The cost of discount at a sofa = 45% of 550
= 45/100 x 550
= 24,750 / 100
= 247.5
So, The final cost of a sofa = $550 - $247.5
= $302.5
Therefore, The final price of a sofa will be $302.5.
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10 + (-3 3/8) = i need the answer
Answer:6 . 625 or 6 5/8
Step-by-step explanation
10 + (-3 3/8) (adding a negative is like subtracting a positive)
10 - 3 3/8
6 5/8
Solve for x.
3 + 9x = 11x - 7
Answer:
3 + 9x = 11x - 7
simplify
9x + 3 = 11x - 7
subtract 11x from both sides
-11x -11x
-2x + 3 = -7
get rid of constants first by subtracting by 3 from both sides
-3 -3
-2x = -10
divide both sides by -2 since that is the inverse operation of multiplication
/-2 /-2
X = 5
Answer:
x=5
Step-by-step explanation:
Hi, first the thing to do here is simple,
step 1, collecting like terms
3+9x=11x-7
11x-9x=3+7
2x=10
then divide both by 2.
x= 5
How many gallons of gas can
you afford with $34.83 if a gallon of gas is $3.87 a gallon?
Answer:
You would be able to afford 9 gallons of gas.
Step-by-step explanation:
34.83 divided by 3.87 is 9. Have a nice day!
20 POINTS! Will give brainliest to correct answer! Please help. I would also really appreciate an explanation for the answer so that I can do it on my own next time.
Answer:10/9 if I am wrong I am sorry
Step-by-step explanation:
Answer:
[tex]\frac{100}{9}[/tex]
Step-by-step explanation:
Solve for x.
x2 + 4x - 21 = 0
true or false 3 x 10^4 is 5 times as much as 6 x 10^3
Answer:
True
Step-by-step explanation:
1. To find if this statement is true or false, we first have to evaluate the value of these numbers.
[tex]3 * 10^4 = 3 * 10 * 10 * 10 * 10 = 30 * 10 * 10 * 10 = 300 * 10 * 10 = 3000 * 10 = 30000[/tex] [tex]6 * 10^3 = 6 * 10 * 10 * 10 = 60 * 10 * 10 = 600 * 10 = 6000[/tex]2. Next, we divide 30,000 by 6,000. If our quotient is 5, then this is true.
[tex]30,000/6,000[/tex] [tex]5[/tex]Therefore, this is true.
Last week bakery marvels baked 5 of the power of ten 5 muffins. How many muffins Do bakery marvels make?
Answer:3125 muffins
Step-by-step explanation:
What is the slope of a line that is perpendicular to the line y = 1?
O-1
ОО
O 1
O undefined
Answer: D) Undefined
Explanation:
The equation y = 1 is the same as y = 0x+1
Match that to the form y = mx+b to see that the slope is m = 0
Any horizontal line has a slope of 0.
Notice that we cannot apply the negative reciprocal to this because 0 = 0/1 leads to 1/0 which is undefined
The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0. The rise can be any number you want (it doesn't have to be 1) and we get the same result.
The slope of a line that is perpendicular to the line y = 1 is undefined.
What is Slope of Line?The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.
The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The equation y = 1 is the same as y = 0x+1
Match that to the form y = mx+b to see that the slope is m = 0
Any horizontal line has a slope of 0.
y = 1 is an vertical line.
The slope of any vertical line is undefined because we have run = 0 and slope = rise/run = 1/0.
= Undefined
Hence, the slope of a line that is perpendicular to the line y = 1 is undefined.
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The sum of two polynomials is â€"yz2 â€" 3z2 â€" 4y 4. If one of the polynomials is y â€" 4yz2 â€" 3, what is the other polynomial? â€"2yz2 â€" 4y 7 â€"2yz2 â€" 3y 1 â€"5yz2 3z2 â€" 3y 1 3yz2 â€" 3z2 â€" 5y 7.
The sum of polynomials involves adding the polynomials
The other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
The sum of the polynomials is given as:
[tex]Sum = y^3 + 3y^2 + 4y - 4[/tex]
One of the polynomials is given as:
[tex]P = 4y^2 - 3[/tex]
Represent the other polynomial with Q.
So, we have:
[tex]P +Q =Sum[/tex]
Substitute the expressions for P and Sum
[tex]4y^2 - 3 +Q =y^3 + 3y^2 + 4y - 4[/tex]
Make Q the subject
[tex]Q =y^3 + 3y^2 -4y^2+ 4y - 4 +3[/tex]
Evaluate like terms
[tex]Q =y^3 -y^2+ 4y - 1[/tex]
Hence, the other polynomial is [tex]y^3 -y^2+ 4y - 1[/tex]
Read more about polynomials at:
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HELP PLEASE...........
Answer:
B. slope -5, y-intercept (0, 7)
Step-by-step explanation:
The y-intercept is the first (x, y) pair shown in the table: (0, 7). (This eliminates choices C and D.)
The slope is ...
change in y / change in x
(-13 -7) / (4 -0) = -20/4 = -5 . . . slope
This matches choice B.
What is the slope??
(The bottom one says : (1, 1)
I need as many digits of pi I can get.
Answer:
3.1415926535897932384626433832795028841971693993751058209749445923078164062862089986280348253421170679
Step-by-step explanation:
Answer:
3.14159265358979323846264338327950288419716939937510582097494459230781640628620899862803482534211706798214808651 328230664709384460955058223172535940812848111745028410270193 852110555964462294895493038196442881097566593344612847564823 3786783165271201909145648566923460348610 4543266482 1339360726 0249141273 7245870066 0631558817 4881520920 9628292540 9171536436 7892590360 0113305305 4882046652 1384146951 9415116094 3305727036 5759591953 0921861173 8193261179 3105118548 0744623799 6274956735 1885752724 8912279381 8301194912 9833673362 4406566430 8602139494 6395224737 1907021798 6094370277 0539217176 2931767523 8467481846 7669405132 0005681271 4526356082 7785771342 7577896091 7363717872 1468440901 2249534301 4654958537 1050792279 6892589235 4201995611 2129021960 8640344181 5981362977 4771309960 5187072113 4999999837 2978049951 0597317328 1609631859 5024459455 3469083026 4252230825 3344685035 2619311881 7101000313 7838752886 5875332083 8142061717 7669147303 5982534904 2875546873 1159562863 8823537875 9375195778 1857780532 1712268066 1300192787 6611195909 2164201989
Step-by-step explanation:
These r the first 1,000 numbers but there are over 200 million numbers in pi.
hope this helps! Plz give brainliest!
An item is regularly priced at $70. It is on sale for 20% off the regular price. How much (in dollars) is discounted from the regular price?
Amount discounted:?
Answer:
$14 discount$56 discounted priceStep-by-step explanation:
The amount of the discount is ...
20% of $70 = 0.20·$70 = $14 . . . discount
The discounted amount is ...
$70 -14 = $56 . . . discounted price
what is x?
3x-5=10
please help and thank you
Answer:
5
Step-by-step explanation:
3x - 5 = 10
3x = 15
x = 5
I hope it helps bye, good luck
Answer:
x=5
Step-by-step explanation:
Move all terms not containing x to the right side of the equation.
Add 5 to both sides of the equation.
3x = 10 + 5
Add 10 and 5
3x = 15
Divide each term in 3x = 15 by 3 and simplify.
3x/3 = 15/3
Simplify the left side
Cancel the common factor of 3
x = 15/3
Divide 15 by 3
x = 5
six and seven on this wkst!!!!!
Answer:
6.) x=5/4
7.) x=-6
Also, since your worksheet in paratheses says it would help to graph number 7, I attached a graph for it. :)
Step-by-step explanation:
Just ask!
Hope this helps. :))
Sorry if I'm wrong.
~Happy Holidays!!~ o(*￣▽￣*)ブ
A line has a slope of 7 and includes the points (-5, a) and ( -6, 1). What is the value of a?
Answer:
a = 8
Step-by-step explanation:
First find the equation of line using
y-y1=m(x-x1) --- m=slope = 7 and x1= -6 and y1= 1
y-1=7(x-(-6))
y-1=7x+42
y=7x+43
now let x be -5 to find y which is a
y=7(-5)+43
y=-35+43
y=8
so a = 8
what is the answer to Lora read 1/8 of a comic book in 2 days she read the same number of pages everyday what part of the book does she read in a week? and how to show the work
Answer:
7/16 of book
Step-by-step explanation:
1/8 book in 2 days means Lora reads 1/16 book every day
In 1 week (7 days), Lora reads 7 x 1/16 = 7/16
Find the 9th term of geometric sequence whose first term is 2 and common ratio is 2
520
512
506
256
Calculate the slope of the coordinates (5,10) (10,20)
Answer:
m=2
Step-by-step explanation:
