Answer:
The value of k is -21
Step-by-step explanation:
ax² + bx + c = 0
Sum of the roots = -b/a
3x² + kx + 1 = 0
= sum of the roots = -k/3
-k/3 = 7
Now, Multiply both side by (-3) we get,
(-3)-k/3 = 7(-3)
k = -21
Thus, The value of k is -21
-TheUnknownScientist 72
7 1/3 x 7/11
simplify the answer completely and change to a mixed number
Answer:
Hello There!
Your question says that
[tex]7 \frac{1}{3} \times \frac{7}{11} [/tex]
Now lets convert mixed fraction to improper fraction
[tex]7 \frac{1}{3} \\ \\ so \: 7 \times 3 + 1 = 22 \\ \\ so \: \frac{22}{3} [/tex]
Now let's simplify..
[tex] \frac{22}{3} \times \frac{7}{11} \\ \\ [/tex]
Now simplify 22 and 11 so it will look like
[tex] \frac{2}{ 3} \times \frac{7}{1} \\ \\ multiply \: \frac{2 \times 7}{3 \times 1} \\ \\ = \frac{14}{3} [/tex]
Now lets convert it to mixed fraction...
[tex] \frac{14}{3} = 4 \frac{2}{3} \\ \\ [/tex]
So it is the answer
[tex]4 \: \frac{2}{3} \\ \\ [/tex]
I hope it is helpful to you..Cheers!______The product of the two given fraction is [tex]4\frac{2}{3}[/tex].
The given fractions are [tex]7\frac{1}{3}[/tex] and [tex]\frac{7}{11}[/tex].
Product of two fractions = Product of their numerators / Product of their denominators.
Here, [tex]7\frac{1}{3}[/tex] × [tex]\frac{7}{11}[/tex]
= [tex]\frac{22}{3} \times\frac{7}{11}[/tex]
= [tex]\frac{2}{3}\times\frac{7}{1}[/tex]
= [tex]\frac{14}{3}[/tex]
In mixed fraction [tex]4\frac{2}{3}[/tex]
Therefore, the product of the two given fraction is [tex]4\frac{2}{3}[/tex].
To learn more about the product of two fractions visit:
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Write as a single fraction in its simplest form.
[tex]\dfrac{4}{3x-5} + \dfrac{x+2}{x-1}\\\\\\=\dfrac{4(x-1) + (x+2)(3x-5)}{(3x-5)(x-1)}\\\\\\=\dfrac{4x-4 + 3x^2 -5x +6x -10}{(3x-5)(x-1)}\\\\\\=\dfrac{3x^2 +5x-14}{(3x-5)(x-1)}[/tex]
PLEASE HELP QUESTION IN PICTURE. (15 POINTS)
lus
Suppose that y varies directly with x
and y = 10 when x = 20. What is y
when x = 15?
Enter your answer as a simplified fraction.
y =
Answer:
15/2
Step-by-step explanation:
y varies directly as x can be written as:
y & x
y = Kx
K = y/x
But from the question, we were told that:
y = 10
X = 20
K = y/x
K = 10/20
K = 1/2
The formula for the expression is:
y = Kx
y = 1/2 x
Now let us solve for y, when:
x = 15
y = 1/2 x
y = 1/2 x 15
y = 15/2
Answer:
When x = 15, y = 15/2
Step-by-step explanation:
Formula: "y varies directly with x" comes out to y = kx symbolically.
Find the value of the constant of proportionality, k: If y = 10 when x = 20, then this relationship becomes 10 = 20k, and k = 1/2.
Then the formula is y = (1/2)x.
When x = 15, y = 15/2
How do I find the scale factor‼️‼️
Answer:
Scale factor = Dimensions of the new shape ÷ Dimensions of the original shape.
PLEASE HELP MEEEEEEEE
Step 6: Problem solving with presents
a) If the sales tax is 7% on all purchases, how much must you set aside for sales tax on $300? Show your work. (2 points)
Determine whether the graph represents a function. *
Answer:
Not a function
Step-by-step explanation:
There are two points that correspond to the same variable
Hope this helps
Answer:
not a function
Step-by-step explanation:
There are two points that have the same x and different y values
This would fail the vertical line test.
Factor the expression completely: x3 - 48x
Answer: The answer is X(X^2 - 48).
Miguel glues a ribbon border around the edges of a 5-inch by 8-inch picture to create a frame. What is the total length of ribbon Miguel uses?
[tex]\qquad[/tex] ☀️So First – we have to find the perimeter of the frame on which the glue is applied and the length of the ribbon used by Miguel. The perimeter of the frame is the total length of ribbon Miguel uses.
Length of the frame is = 5 inchBreadth of the frame is = 8 inch[tex]\qquad[/tex]____________________
According to the question:-
[tex]\qquad[/tex][tex] \pink{\bf\longrightarrow Perimeter _{(The \:frame) }= The\: total\: length\: of \:ribbon}[/tex]
The frame is in the rectangular shape, as its length and breadth are different . As we know– Perimeter of the rectangle = 2 ( length + breadth ).[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) } = 2 ( length\: of\: the \:frame + breadth \:of \:the\: frame )}[/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) } = 2 ( 5 + 8 ) [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The \:frame) }= 2 ( 5 ) + 2 ( 8 ) [/tex]
[tex]\qquad[/tex][tex] \sf \longrightarrow Perimeter _{(The\: frame) }= 10 + 16 [/tex]
[tex]\qquad[/tex][tex] \purple{\bf \longrightarrow Perimeter _{(The \:frame) }= 26\: inch} [/tex]
Henceforth, perimeter of the frame is 26 inch.Therefore,
Perimeter of the frame = The total length of ribbon.So, The total length of ribbon = 26 inch.[tex]\qquad[/tex]____________________
The Answer will be 26 inch
PLEASE HELP ME IT'S DUE TODAY AND IT COULD HELP MY GRADE A LOT
Answer:
Hypotenuse: 20√2
Acute Angle measurements: 45
Step-by-step explanation:
Note that the two leg sides are both 20 measurements, suggesting that it is an isosceles triangle.
By definition of a isosceles triangle, the angles will be 45-45-90, and the sides will follow the 1-1-√2 rule, in which the 1 stands for the legs, and the √2 stands for the hypotenuse.
Note that the leg side measures 20. Multiply:
20 * √2 = 20√2.
Hypotenuse: 20√2
Acute Angle measurements: 45
Megan works at Amazon’s warehouse. She is responsible for packing boxes into trucks for shipment. Each truck can hold 22 boxes, and she needs to ship 539 boxes total.
Megan thinks she can fit all 539 boxes into 24 trucks. Is her estimate correct? Why or why not?
How many trucks will Megan need to pack all 539 boxes? (show work )
Answer: Her estimate is incorrect because she has to have 25 trucks to be able to ship all her boxes.
Step-by-step explanation: Divide 539 by 22 and if there is a remainder then you need to have one more because you cant take half a truck.
539/22=24.5. Since there is a remainder, you will need 25 trucks total
question attached , need help~
thx for answering ~
kindly stay away if u don't know the ans :) ~
Answer:
I FOUND IT ACTUALY 22.857 lacs $2,285,714
Step-by-step explanation:
do the formula
is/of = %/100
[tex]\frac{17.5}{100} = \frac{4}{x}[/tex]
100*4=400
400/17.5=22.857
Answer:
Total worth of assets of the man = 22.86 lacs
Step-by-step explanation:
Let the man's assets = 100%
Given to the wife = 50%, so leftover 50%
From it given to 4 sons = 15%, so leftover 35%
From it given equally to 2 daughters, so each daughter gets 35% / 2 = 17.5%
17.5% = 4 lacs
100% = 4 x (100/17.5) = 22.8571
Round off to 2nd decimal place = 22.86 lacs
you roll a die 100 times and a six shows up 74 times out of 100. based on these outcomes, what is the estimated probability that the next roll shows up as a six?
2. Graph each inequality on a number line:
5x + 15 < 0
Answer:
x < -3
Step-by-step explanation:
1. To put this inequality on a number line, we first must solve it.
Step 1: Subtract 15 from both sides.
[tex]5x + 15 - 15 < 0 - 15[/tex] [tex]5x < -15[/tex]Step 2: Divide both sides by 5.
[tex]\frac{5x}{5} <\frac{-15}{5}[/tex] [tex]x < -3[/tex]2. Now that we know x < -3, let's graph it!
Since it's less than, we make the number line point to the left, and we make the circle open.Which correlation coefficient indicates the stronger linear relationship between random variables for a fixed sample size?
a
r = 0..8
b
r = 0.5
c
r = -0.2
d
r = -0.9
Answer:
D) r=-0.9
Step-by-step explanation:
Recall that when [tex]|r|[/tex] is closest to 1, the stronger the correlation between the variables. In this case, while [tex]|0.8|=0.8[/tex], [tex]|-0.9|=0.9[/tex] is actually larger and shows a stronger negative correlation between random variables. Therefore, D is correct.
f(x) = -3x +4 when x = -5 show every step
Answer:
f(-5) = 19
Step-by-step explanation:
f(x) = -3x + 4
f(-5) = -3(-5) + 4
f(-5) = 15 + 4
f(-5) = 19
Answer: The answer is 19
Step-by-step explanation: We know that the X value is -5 so we substitute that in for -3x to get (-3 x -5) We end up geting 15, next we add 4 and get 19. Basically the answer is 19. Have a great day.
Forgot to add the F(-5) sorry.
Jayden had $43 in his bank account. He wanted to buy a game at GameStop. The game cost $15. He made the purchase.
a) Write an expression to show his purchase activity.
b) How much did he have, after the purchase of the game?
Answer:
a) 43 - 15
b) 28
Please help this is due on Monday! Will give brainliest!!!!
Answer:
The awnser in the first option. A
HELP ME PLEASE 20 POINTS
In a certain chemical the ratio of zinc to copper is 4 to 17 a jar of the chemical contains 595 grams of copper. How many grams of zinc does it contain
Answer:93 grams Zinc
Step-by-step explanation:3 Zinc : 13 Copper
x 31 x 31
93 Zinc, 403 Copper
or
set up a proportion, cross multiply, and solve for the variable:
3(403) = 13(x)
3(31) = x
93 = x
What is the measure of the missing angle in this triangle
Yes
Answer:
The measure of the missing angle is 25 degrees.
Adam works for an agency.
His normal hourly rate is £8.32
The agency asks Adam to work 6 hours for a new company.
Adam will be paid time and a third of his normal hourly rate.
How much will Adam get paid in total when working for the new company
Adam receives 13.762 euros
What is division?One of the four fundamental arithmetic operations, or how numbers are combined to create new numbers, is division. The other operations are multiplication, addition, and subtraction.
Given
Adam normally earns 8.32 an hour.
1. 832 * 6 = 10.992 for 6 hours
Adam will be payed = 8.32 *1/3 = 2.77
Total payment = 10.992 + 2.77 = 13.762
To learn more about division refer to:
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In the figure given below CP=x+3, PA=3x+19, CQ=x and QB=3x+4 then, what value of x will make PQ || AB?
Topic:CBSE board Class 10
Correct answer will be mark as brainliest.
Given that
PQ || AB
CP = x+3
PA = 3x+19
DC = x+3
CA = x
QB = 3x+4
We know that
By Basic Proportionality Theorem,
CP / PA = CQ / QB
On substituting these values in the above formula
⇛ (3x+19) / (x+3) = (3x+4) / x
On applying cross multiplication then
⇛ x(3x+19) = (3x+4)(x+3)
⇛ 3x²+19x = 3x(x+3)+4(x+3)
⇛ 3x²+19x = 3x²+9x+4x+12
⇛ 3x²+19x = 3x²+13x+12
⇛ 3x²+19x-3x²-13x = 12
⇛ (3x²-3x²)+(19x-13x) = 12
⇛ 0+6x = 12
⇛ 6x = 12
⇛ x = 12/6
⇛ x = 2
∴ , x = 2
Answer: The value of x for the given problem is 2
Additional comment:
Basic Proportionality Theorem
" A line drawn parallel to the one side of a triangle intersecting other two sides at two different points, then the line divides the other two sides in the same ratio".
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What is the measurement of pie?
Answer: 3.14159
Step-by-step explanation:
If the length of the rectangle measures (2x -4) cm and the width measures (3x) cm, what is the area of the rectangle in terms of x?
pls ANSWER THIS CORRECTLY WITH A COMPLETE SOLUTION
[tex]\large\huge\green{\sf{Given:-}}[/tex]
length of the rectangle= (2x-4)cmbreadth of the rectangle =3x cm[tex]\large\huge\green{\sf{ToFind:-}}[/tex]
Area of triangle=??[tex]\large\huge\green{\sf{FormulaRequired:-}}[/tex]
Area of rectangle= lxb[tex]\large\huge\green{\sf{Solution:-}}[/tex]
➡Area of rectangle= lxb
➡Area of rectangle= (2x - 4) x (3x) cm²
➡Area of rectangle= 6x²-12x
f(x) is graphed below. If g(x)=f(x+2)-4, what are the roots of g(x)?
Answer:
fortnit 90s
Step-by-step explanation:
crank and c until u get too 90 height
where dp you see yourself in the future?
Answer:
Happy
Step-by-step explanation:
someone please explain this
Answer:
HOPE THIS HELPS
Step-by-step explanation:
[tex]x^{2}[/tex]-14x-32 =(X+2)(X-16)
A=1
B=2
C=1
D=-16
Your friend has $100 when he goes to the fair. He spends $10 to enter the fair and $29 on food. Rude lady at the fair cost $2 per rude. Which function can be used to determine how much money he had left over after x rides?
Answer:
y=-2x-39
Step-by-step explanation:
Answer:
100=39+2x
Step-by-step explanation:
hoped that hedlp:P
The United States and Canada have the production possibilities curves shown above. It is determined that the United States has the comparative advantage in peanuts. Will both nations gain from trade if the terms of trade that are offered are 1 Peanut= 3 Corn? Why or why not? Show your work.
This is economics
It is false both nations will benefit if the terms of trade are 1 peanut = 3 corn.
What is the comparative advantage?The comparative advantage refers to the ability of one company or nation to produce something at a lower cost. In this case, the U.S. can produce peanuts at a lower cost than Canada.
Will both nations benefit if they trade 1 peanut for 3 corn?No, due to their differences in the amounts of units produced and their comparative advantage both nations will not benefit from this trade.
Canada: Canada can produce 60 corn for every 20 peanuts, this can be understood as a 1 peanut : 3 corn ratio, therefore, this country will benefit from the 1 peanut = 3 corn term.United States: The United States produces 60 corn for every 60 peanuts or 1 peanut: 1 corn. Due to this, they will not benefit from the trade because this nation does not produce enough corn to meet the demand of 1 peanut = 3 corn.Learn more about comparative advantage in: https://brainly.com/question/4461081
what is .9 repeating as a fraction
There is no answer to this because:
Any digit repeating like that would usually be ?/9
Example: 0.1 repeating = 1/9
0.2 repeating = 2/9
0.8 repeating = 8/9
But 0.9 repeating? There should not be a fraction for that.
If you want to round up to 1, you can.