Answer:
k = 5,
y = 5x
Step-by-step explanation:
If y is proportional to x,
y ∝ x
Then the equation will be
y = kx
Her k = proportionality constant.
Now we choose a point from the given table.
Let the point is (2, 10).
By putting the values of x and y in the equation,
10 = 2×k
k = [tex]\frac{10}{2}[/tex]
k = 5
This will be true for any point we choose from the table.
And the equation will be y = 5x
What is the equivalent decimal of -1\5 and -2\9
Answer:
1/5=10/50
2/9=20/90
Step-by-step explanation:
1/5 is just a simpler way of saying 10/50 same as 2/9
PLEASE ANSWER ASAP!!!!!!!!!!
What is the volume of the following rectangular prism?
Answer:
44/3
Step-by-step explanation:
The formula of volume of any prism is Bh
B=Area of the base
h=height
So just multiply them together:
So as a mixed fraction you get 14 2/3
Improper fraction: 44/3
Hope this helps!
Factor the algebraic expression 21a + 9
Answer:
21a + 9
Simplifying
21a + 9
Reorder the terms:
9 + 21a
Factor out the Greatest Common Factor (GCF), '3'.
3(3 + 7a)
Final result:
3(3 + 7a)
HOPE THIS HELP
Answer:
[tex]3(7a+3)[/tex]
Step-by-step explanation:
I just need to know the answer and really quick!
Answer:
if it's for the first one this is the answer I think not 100%sure
y=12x+36
Step-by-step explanation:
Factor the trinomial
5x2+11x+6
Answer:
factor by grouping
(x-1) (5x-6)
Step-by-step explanation:
correct me if i am wrong
rosa pays a monthly membership fee at a gym. She also pays $5 for each cycling class she takes. in May, she took 4 cycling classes and her total cost for the month was $55. in June, Rosas total cost was equal to twice the membership fee. How many cycling classes did she take?
Answer:
14 classes
Step-by-step explanation:
if she pays $5 per cycling class than in May she payed $20. $55 - $20 = 35. If in June the cost was double the membership fee than 35 x 2 = 70. Than you do 70 / 5 = 14.
What is the solution to the equation x + 4.7 = 6.3?
a. x = 11.0
b. x = 6.3
c. x = 2.4
d. x = 1.6
The value of X is 1.6
Look at the attached picture
Hope it will help you
Good luck on your assignment
Answer:
[tex]x = 1.6[/tex]
Step-by-step explanation:
[tex]x + 4.7 = 6.3 \\ x = 6.3 - 4.7 \\ x = 1.6[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
help plz geometry !!!!
Answer:
27 ) x = 15°,
28 ) x = 18°
Step-by-step explanation:
27 ) We are given angle measures of 85 degrees, consecutively 6x + 5, each forming a linear pair;
85 + ( 6x + 5 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,
85 + ( 6x + 5 ) = 180 ⇒ take out ( ),
85 + 6x + 5 = 180 ⇒ combine like terms,
90 + 6x = 180 ⇒ subtract 90 from either side of equation,
6x = 90 ⇒ divide 6 on either side of equation,
Solution; x = 15°
28 ) We are given angle measures of 110 degrees, consecutively 3x + 16, each forming a linear pair;
110 + ( 3x + 16 ) = 180 ⇒ by definition of linear pair we have two measures of angles that add to 180°,
110 + ( 3x + 16 ) = 180 ⇒ take out ( ),
110 + 3x + 16 = 180 ⇒ combine like terms,
126 + 3x = 180 ⇒ subtract 126 from either side of equation,
3x = 54 ⇒ divide 6 on either side of equation,
Solution; x = 18°
which figures are polygons
Polygon: a figure formed by coplanar segments
with one distinct interior region
Figure A, Figure B, and Figure D would be considered polygons.
Notice that those figures I mentioned above are
composed of line segments, and nothing else.
In addition, these figures don't have two separate
interior regions and figures that do aren't polygons.
Figure C would not be a polygon because
it's formed by a curve rather than line segments.
I AM GIVING OUT BRAINLIEST One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?
-x^2 + 18x + 81
3x^2 - 3x - 168
x^2 - 4x - 4
25x^2 - 30x + 9
x^2 - 14x + 24
Answer:
3/5
Step-by-step explanation:
First one 18^2 - 4(-1)(81) > 0 so no repeated root
Second one (-3)^2 - 4(3) (-168) > 0 so no repeated root
Third one (-4) - (4) (1) (-4) > 0 so no repeated root
Fourth one (-30)^2 - 4(25) (9) = 900 - 100(9) = 0 repeated root
Note this factors as (5x - 3)^2
(5x - 3)^2 = 0 take both roots
5x - 3 = 0
5x = 3
x = 3/5 = repeated root
The quadratic expression [tex]25x^{2} -30x+9[/tex] has repeated root and the repeated root is 3/5
How to know a quadratic has repeated root ?Let, [tex]ax^{2} +bx+c=0[/tex] is a quadratic.
Then the expression ([tex]b^{2}-4ac[/tex]) is called the discriminant of the quadratic.
If [tex]b^{2}-4ac[/tex] = 0 then we can say that the quadratic has a repeated real root.
Which quadratic has repeated root ?The discriminant of [tex]-x^{2} +18x+81[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex]18^{2}-4(-1)(81)[/tex] = 324+324=648 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]3x^{2} -3x-168[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-3)^{2}-4(3)(-168)[/tex] = 9+2016 = 2025 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]x^{2} -4x-4[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-4)^{2}-4(1)(-4)[/tex] = 16+16 = 32 > 0
So, This quadratic has no repeated root.
The discriminant of [tex]25x^{2} -30x+9[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-30)^{2} -4(25)(9)[/tex] = 900-900 = 0
So, This quadratic has repeated root.
The discriminant of [tex]x^{2} -14x+24[/tex] is,
[tex]b^{2}-4ac[/tex] = [tex](-14)^{2}-4(1)(24)[/tex] = 196-96 = 100 > 0
So, This quadratic has no repeated root.
What is the repeated root ?The equation [tex]25x^{2} -30x+9[/tex] = 0 has repeated root.
Simplifying the equation we get,
[tex]25x^{2} -30x+9[/tex] = 0
⇒ [tex](5x)^{2}-2(5x)(3)+3^{2}[/tex] = 0
⇒ [tex](5x-3)^{2}[/tex] = 0
⇒ 5x-3 = 0
⇒ 5x = 3
⇒ x = 3/5
The repeated root is 3/5.
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Which Graph represents the unction f(x)= -8/5x+8 with its intercepts?
Answer:
y-intercept is (0,8) and x-intercept is (5,0)
Step-by-step explanation:
Help I made it maxed points
Answer:
B
Step-by-step explanation:
66/4=99/6=330/20=16.5
Since there is a constant ratio between these values, the function is a line, and the equation of that line is w=16.5m, or choice B. Hope this helps!
Answer:
w=16.5
Step-by-step explanation:
All you have to do is divide the number of gallons of water by the number of minutes and you will get your answer.
66/4=16.5
99/6=16.5
330/20=16.5
I hope I've helped.
What is the slope of the line described by the equation below?
y-5 = 6(x-4)
Answer:
6
Step-by-step explanation:
To solve this, you need to have your equation in slope-intercept form. This is y=mx+b, where m is the slope and b is the y-intercept.
y - 5 = 6(x - 4)
y - 5 = 6x - 24
y = 6x - 19
The slope, m, is equal to 6.
HELP PLZ I NEED HELP QUICK!!!! ILL GIVE U 20 POINTS
Answer:
B) Z
Step-by-step explanation:
Please this is the question sorry didn’t upload last time.
Help very important
i think number 4. is. a, d, r
Rectangle floor measures 10 1/8 by 13 3/4 feet. If Mary buys 150 ft.² of carpet, will she have enough carpet to cover the floor?
Show Work Please Due Today
Answer:
YES
Step-by-step explanation:
Calculate the actual floor area: A = (10 1/8 ft)(13 3/4 ft), or, as decimal fractions,
A = (10.125 ft)(13.75 ft) = 139.22 ft^2
Mary's purchase of 150 ft^2 of carpet is more than enough to cover 139.22 ft^2. YES, she will have enough carpet.
A prism has a length of 15 inches, height of 5 inches, and width of 4 inches. The formula for volume of a rectangular prism is V = lwh. The length of the prism is in. The width of the prism is in. The height of the prism is in. The volume of the prism is in.3.
Answer:
it is 300
Step-by-step explanation:
you must multiply 15 by 4 by 4
The volume of the prism is 300 in³.
What is a prism?A prism is a three-dimensional object.
There are triangular prism and rectangular prism.
We have,
The length of the prism is 15 inches.
The width of the prism is 4 inches.
The height of the prism is 5 inches.
To find the volume of the prism, we use the formula.
V = l w h
V = (15)(4)(5)
V = 300 cubic inches.
Therefore,
The volume of the prism is 300 in³.
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Please Help, Math question.
What is the prime factorization of 86? Use * for multiplication.
Answer:
2 * 43
Step-by-step explanation:
Answer:
2*43
Step-by-step explanation:
60 points
What are the slope and the y-intercept of the linear function that is represented by the equation y = negative 10 x + 1? The slope is –10, and the y-intercept is –1. The slope is –10, and the y-intercept is 1. The slope is –1, and the y-intercept is –10. The slope is 1, and the y-intercept is –10.
Answer:
2. the slope is -10 and y-intercept is 1
Step-by-step explanation:
hope this helps!
Answer:
B. The slope is –10, and the y-intercept is 1.
Step-by-step explanation:
Our equation is y = -10x + 1. Notice that this is of the form y = mx + b, which is called the slope-intercept form because it literally gives us the slope and y-intercept in the equation:
- m: this is the slope value
- b: this is the y-intercept
Here, m = -10, which means the slope is -10. Also, b = 1, so the y-intercept is 1.
Thus, the answer is B.
Find the interest on a loan of $2500 that is borrowed at 9% for 18 months.
Answer:
$338.50
Step-by-step explanation:
Simple interest would be i = ($2500)(0.09)(1.5 yrs) = $338.50
What is the initial value of the sequence?
The points shown on the graph represent the numbers in a
geometric sequence.
1
2
3
8
Answer:
B) 2
Step-by-step explanation:
the initial value would be the first point and on this graph that first point is (1,2). and you should look at the x-value meaning your answer is 2
Answer:
It's 2
Step-by-step explanation: hope it helps ^w^
Currently, I am 9 times as old as my son. Next year, I will be 7 times as old as my son. How old is my son now?
Answer:
3
Step-by-step explanation:
3x9=27
4x7=28
Your son is 3 years old now
Step-by-step explanation:
If you do 9 times 3, you would get 27, and when you do 4 times 7, you would get 28. So, it makes sense since you get 1 year older and you are 9 times as old and then you will be 7 times as old. So, right now, your son is 3 years old.
The temperature at dawn is -6°F but by noon it is 22°F. What is the difference in
temperatures?
O -16°F
O-28°F
O 16°F
O 28°F
Answer: 28 degrees farenheit
Step-by-step explanation: add 22 and 6 for the total of how many degrees -6 is from 22.
If the temperature at dawn is -6°F but by noon it is 22°F.Then 28°F is the difference in temperatures
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The temperature at dawn is -6°F
The temperature at dawn in afternoon is 22°F.
We need to find the difference in temperatures.
Difference is nothing but subtracting one number with another number.
Now subtract -6°F from 22°F.
22°F-(-6°F)
Twenty two degree fahrenheit plus six degree fahrenheit
22°F+6°F
28°F
Hence there is 28°F in temperatures. Option D is correct.
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PLEASE HELP (picture attached) explain if you can but if not that’s ok:)
Answer:x=2
Step-by-step explanation:
X=-b/2a
b=-4 a=1 in front of x
X=- - -4/2
X=4/2=2
Find two numbers a and b whose sum a+b is −3, and whose difference a−b is −7.Your answer is
Answer:
a = -5
b = 2
Step-by-step explanation:
a+b=-3
a-b= -7 +
2a = -10
a = -10/2
a = -5
a + b = -3
-5 + b = -3
b = -3 + 5
b = 2
Giving away brainliest. Basic question. :)
Answer:
The area for both shapes = 4
Step-by-step explanation:
Area of triangle 1/2hb
Area of square s^2
triangle: 1/2 *4*2= 4
square: 2^2 =4
f(x) = x
g(x) = 1
What is the domain of
(g/f)(x)
Answer: x≠0
Step-by-step explanation:
Makes the equation undefined
4a + 2 < 2- 4a helpppp ppppp
Answer:
a ≤0 but without the line
Step-by-step explanation:
Plz help I rly need this urgently will mark brainliest if correct :)
Answer:
a. 0.8x+1.25y
b. $5.70
Step-by-step explanation:
a. Let x represent the number of apricot bars and y represent the number of cranberry bars. A apricot bar costs 0.80 each and cranberry bars cost 1.25 each. So the expression for the income is 0.8x+1.25y.
b. To find the answer, plug in values to the previous expression. Since Kayley bought 4 apricot bars and 2 cranberry bars, plug in 4 for x and 2 for y.
0.8(4)+1.25(2)= 5.70
So, she spent $5.70.
Factor 2k^2+25k+72 completely
Answer:
(k + 8) • (2k + 9)
Step-by-step explanation:
I strongly suggest downloading Photomath. It’ll help a lot.