Answer:
D - 9x^(2)+2x-5
Step-by-step explanation:
3 When Klorina swims with the current, she swims 10 km
In 2 h. Against the current, she can swim only 8 km in
the same time. How fast can Klorina swim in still water?
What is the rate of the current?
Speed in still water [tex]=[/tex] 9km
Speed of the current [tex]=[/tex] 1 km
Answer:
Step-by-step explanation:
Speed of the current [tex]=[/tex] C
Speed of the still water [tex]=[/tex] S
Speed with the current [tex]=[/tex] [tex]([/tex] speed of the still water ₊ speed of the current [tex])[/tex]
[tex]=[/tex] S ₊ C
Speed with the current [tex]=[/tex] S ₊ C [tex]=[/tex] 10km
Speed against the current [tex]=[/tex] [tex]([/tex] speed of the still water ₋speed of the current [tex])[/tex]
[tex]=[/tex] S ₋ C
Speed against the current [tex]=[/tex] S ₋ C [tex]=[/tex] 8km
Speed in still water [tex]=[/tex] Speed with the current ₊ Speed against the current[tex])[/tex]÷ 2
[tex]= ([/tex] 10 ₊ 8 [tex])[/tex] ÷ 2
[tex]=[/tex] [tex]([/tex] 18 [tex])[/tex] ÷ 2
Speed in still water [tex]=[/tex] 9km
Speed of the current [tex]= ([/tex] Speed with the current ₋ Speed against the current[tex])[/tex] ÷ 2
[tex]= ([/tex] 10 ₋ 8 [tex])[/tex] ÷ 2
[tex]=[/tex] [tex]([/tex] 2 [tex])[/tex] ÷ 2
Speed of the current [tex]=[/tex] 1 km
What is the answer to this equation? (picture attached)
Answer:
x = [tex]\frac{42}{5}[/tex]
Step-by-step explanation:
Given
19 - [tex]\frac{5x+6}{4}[/tex] = 7 ( subtract 19 from both sides )
- [tex]\frac{5x+6}{4}[/tex] = - 12
Multiply both sides by - 4 to clear the fraction and the negative signs
5x + 6 = 48 ( subtract 6 from both sides )
5x = 42 ( divide both sides by 5 )
x = [tex]\frac{42}{5}[/tex]
Challenger Elementary School has 800 students. Every Wednesday, 12 percent of the students stay after school for Chess Club. How many students attend Chess Club on Wednesdays?
Answer: help me on my question
Step-by-step explanation:write the answer then submit it and thanks tou
You are buying six notebooks that total $10.94. There is a 5% sales tax. What is the total amount of your purchase?
Answer:
Step-by-step explanation:
5%= 0.05
10.94x0.05= 0.547
10.94+0.547= 11.487
Round to hundredths place (cents go two decimal places)
=11.49
HELP!!!!!
Drag each expression to show whether the product is less than 1, equal to 1, or
greater than 1
Answer:
2X2/5 is less than 1
6X 1/5 is more than 1
4 X 1/4 is equal to 1
8 X 2/5 is more than 1
4 X 2/9 is less than 1
5 X1/4 is more than 1
Step-by-step explanation:
Answer:
Expressions less than 1
2×2/5, 4×2/9
Expressions that are equal to 1
4×1/4
Expressions that are greater than 1
6×1/5, 8×2/5, 5×1/4
Step-by-step explanation:
Given the first expression
2×2/5
= 4/5
= 0.8<1
0.8 is less than 1
- for the expression 6× 1/5
6×1/5
= 6/5
= 1.2>1
1.2 is greater than 1
- for the expression 4×1/4
= 4/4
= 1
This expression is equal to 1
- For 8×2/5
= 16/5
= 3 1/5
= 3.2>1
3.2 is greater than 1
- For the expression
4×2/9
= 8/9
= 0.89<1
0.89 is less than 1
- For the expression 5×1/4
= 5/4
= 1.25>1
1.25 is greater than 1
4/7 = 7/x solve for x
Answer:
x=49/4
Step-by-step explanation:
4/7=7/x
cross product
7*7=4*x
49=4x
x=49/4
A group of 4 friends shares 2 packs of gum equally. There are 8 pieces of gum in
each pack. Which set of equations shows how many pieces of gum, g, each
friend receives?
2 x 8 = 16
16 x 4 = g
2 x 8 = 16
16 : 4 = g
4 x 2 = 8
8:8=g
4 x 2 = 8
8 x 8 = g
Done →
Answer:
Each friend receives 4 pieces of gum. The answer is B).
Step-by-step explanation:
2 packs of gum=2*8=16 pieces of gum in total,
16/4=4
The correct answer is 4 gums
⇒each pack of gums contains 8 gums.
⇒there are 2 packs of gums
⇒total number of gums is 8×2=16
∴ each friend receives [tex]\frac{16}{4}[/tex]=4
so; g=4
What is the formula of the unitary method?
The formula of the unitary method is to find the value of a single unit and then multiply the value of a single unit by the number of units to get the necessary value
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Can anyone help me solve this Algebra 2 Problem, i literally cant figure it out
Answer:
Zeros : 1 , -1, 3
Degree : 4
End Behaviour : At x-> ∞ f(x) -> ∞ and x->-∞ f(x) -> ∞
Y - intercept : -3
Extra Points: (0,-3), (2,-3)
Step-by-step explanation:
f(x) = 0 to find the zeros
[tex]Therefore (x+1)(x-1)^{2} (x-3) = 0[/tex]
Clearly x = -1,1,3
Here 1 is a repeating root as it is (x-1)²
Degree is highest power of x in f(x)
Clearly it is x*x²*x = x⁴ is the maximum power of x
Thus degree is 4
Looking at end behavior we substitute x->∞ and x-> -∞
Clearly f(x)>0 as all terms are positive and f(x)->∞
Similarly when x->-∞
f(x)>0 as 2 terms are -ve and their product is positive thus f(x)-> ∞
Y-Intercept is f(0)
f(0) = (0+1)(0-1)²(0-3) = 1*1*-3 = -3
Thus Y-Intercept is -3
Substitute x = 0 , 2 for extra points
Thus f(0) = -3
and f(2) = -3
Thus points on the graph (0,-3), (0,2)
We can use all this information to draw a graph remember that 1 is a repeating root so that will be a point of minima. The graph is a parabola that passes through x-axis at x = -1, 3.
y equals 3/8 x+ 12 write the equation in standard form using integers
Answer:
-3x + 8y - 96 = 0
Step-by-step explanation:
Standard form is ax + by + c = 0.
Converting from standard to slope-intercept form:
ax + by + c = 0
by = -ax - c
y = -a/b x - c/b
Compare the conversion formula to y = 3/8 x + 12.
In the equation, the slope is 3/8, which is the result of -a/b.
a= -3 and b=8
In the equation, 12 is a result of -c/b.
If b is 8:
-c/b = 12
-c/8 = 12
-c = 96
c = -96
Test a= -3 and b=8 and c= -96 in standard form converts to y=3/8 x+ 12
ax + by + c = 0
-3x + 8y - 96 = 0
-3x + 8y = 96
8y = 3x + 96
y = 3/8 x + 96/8
y = 3/8 x +12
This is correct. Therefore a= -3, b=8 and c= -96.
The standard form is -3x + 8y - 96 = 0
Find the values of x in this equation: x-15/x=2
Answer:
The values of x are -3 and 5
Step-by-step explanation:
we have
[tex]x-\frac{15}{x}=2[/tex]
Multiply by x both sides to remove the fraction
[tex]x^{2} -15=2x\\\\x^{2} -2x-15=0[/tex]
The formula to solve a quadratic equation of the form
[tex]ax^{2} +bx+c=0[/tex]
is equal to
[tex]x=\frac{-b(+/-)\sqrt{b^{2}-4ac}} {2a}[/tex]
in this problem we have
[tex]x^{2} -2x-15=0[/tex]
so
[tex]a=1\\b=-2\\c=-15[/tex]
substitute in the formula
[tex]x=\frac{-(-2)(+/-)\sqrt{-2^{2}-4(1)(-15)}} {2(1)}[/tex]
[tex]x=\frac{2(+/-)\sqrt{64}} {2}[/tex]
[tex]x=\frac{2(+/-)8} {2}[/tex]
[tex]x_1=\frac{2(+)8} {2}=5[/tex]
[tex]x_2=\frac{2(-)8} {2}=-3[/tex]
therefore
The values of x are -3 and 5
Answer:
E.
-3, 5
Step-by-step explanation:
What is 3 divided by 6.3
Answer:
3/6.3=0.476190
Step-by-step explanation:
Answer:
.47 or 10/21
Step-by-step explanation:
3/6.3 = 10/21 or .47
Factor completely x2 - 16y2
Answer:
(x+4y)(x-4y)
Step-by-step explanation:
Since
[tex]\large a^2-b^2=(a+b)(a-b)[/tex]
we can see that
[tex]\large x^2-16y^2=(x+4y)(x-4y)[/tex]
A share of stock costs $83.60. The next day, the price increases $15.35.
The following day, the price decreases $4.75. What is the final price?
Answer:
Step-by-step explanation: okay do your going to add 83.60 and 15. 35 then subtract 4.75
The final price of the stock is 94.2 dollars.
What is the correct way of simplifying an expression ?The correct way of simplifying an expression is first we will solve what is inside the brackets then we will solve the divisions then we will do the multiplications the we will do the additions and in last we will do the subtractions.
According to the given question
A share of stock costs $83.60. The next day, the price increases $15.35
∴ The price next day is
= (83.60 + 15.35) dollars
= 98.95 dollars.
The following day the price decreases to 4.75 dollars
∴the price of the stock on the following day is
= (98.95 - 4.75) dollars
= 94.2 dollars.
We can also do the following question in this manner also
A share of stock costs 83.60 dollars next day next day it increases by 15.35 dollars and the following day it decreases by 4.75 dollars
∴ The final price is
= ( 83.60 + 15.35 - 4.75) dollars
= 94.2 dollars.
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? ÷ 5 = 6 solve an equation
Answer: 30
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
you do 5x6 and that gives you 30 and then to double check your answer you do 5 divided by 30 :)
Can someone help me on 1, 2, 3 and 4 plz I really need help
Answer:
NO
YES
NO
NO
Step-by-step explanation:
For a number to be the solution of the equation, the number should satisfy it.
To check if t satisfies, plug the number and compare LHS and RHS.
1) 3z + 4 = 15
Substituting z = -5, we get 3(-5) + 4 = -15 + 4 = -11 [tex]$ \ne $[/tex] 15.
Therefore, -5 is not the solution of the equation.
2) 8 - [tex]$ \frac{x}{2} $[/tex] = 0
Substituting x = 16, we get 8 - [tex]$ \frac{16}{2} = 8$[/tex]
⇒ 8 - 8 = 0
Therefore, 16 is a solution of the equation.
3) 4(p + 5) = 60
Substitute p = 12. 4(12 + 5) = 4(17) [tex]$ \ne $[/tex] 60.
Not a solution.
4) 8 - k = -48
If k = -40, then 8 - (-40) = 48
On the RHS we have -48. Not equal. So, it is not a solution.
Evaluate [tex]\frac{d}{2}[/tex] + [tex]\frac{c}{3}[/tex] for c = 6 and d = 10.
A. 6
B. [tex]\frac{16}{5}[/tex]
C. 7
D. 10
Answer:
C) 7
Step-by-step explanation:
10/2=5
6/3=2
---------
5+2=7
Identify the standard form of a circle equation x^2+2x+y^2-2y=2
Answer:
The standard from of the expression is: [tex](x +1)^2 + (y-1)^2 = (2)^2[/tex]
Step-by-step explanation:
Here the given expression is :
[tex]x^2+2x+y^2-2y=2[/tex]
Now, the standard form of a circle is given as :
[tex](x-h)^2 + (y -k)^2 = r^2[/tex]
Here, (h,k) = Coordinates of Center, r = Radius
Also, use the algebraic identity:
[tex](a \pm b)^2 = a^2 + b^2 \pm 2ab\\[/tex]
Now, converting the given expression in the standard form, we get:
[tex]x^2+2x+y^2-2y=2[/tex]
Add 2 on both sides of the equation, we get:
[tex]x^2+2x+y^2-2y +2=2 + 2\\\implies x^2+2x + 1 + y^2-2y + 1 = 4\\\implies (x^2+2x + 1 )+ (y^2-2y + 1) = 4\\\implies (x +1)^2 + (y-1)^2 = (2)^2[/tex]
So, here the standard from of the expression is:
[tex](x +1)^2 + (y-1)^2 = (2)^2[/tex]
Center coordinates here are (h,k) = ( -1 ,1) and Radius = 2 units
2 sin^2 theta + 3 cos theta = 3
Answer:
θ = ±π/3 + 2kπ
θ = 0 + 2kπ
Step-by-step explanation:
2 sin² θ + 3 cos θ = 3
Use Pythagorean identity:
2 (1 − cos² θ) + 3 cos θ = 3
2 − 2 cos² θ + 3 cos θ = 3
0 = 2 cos² θ − 3 cos θ + 1
Factor:
0 = (2 cos θ − 1) (cos θ − 1)
cos θ = 1/2
θ = ±π/3 + 2kπ
cos θ = 1
θ = 0 + 2kπ
The sum of two numbers is 138 one number is 20 less than the other find the numbers
Answer:
The answer is 59 & 79
Step-by-step explanation:
59+79=138
79-20=59
59+20=79
**URGENT:** It will take Mr. Warner 15 1/2 hours to install a fence. Each day, he works 1 1/3 hours on the fence. After he finished working on the fence yesterday, he had 3 1/2 hours left to do. For how many days has Mr. Warner worked on the fence?
Which set of ordered pairs is a function?
A. (1,2) (3,4) (5,6) (3,-4)
B. (8,4) (4,3) (2,2) (8,1)
C. (2,5) (3,10) (4,15) (5,20)
D. (2,4) (2,3) (2,1) (2,0)
Answer:
OPTION C
Step-by-step explanation:
An element in the domain should be mapped to exactly one element on the co-domain. Also, every element in the domain should be mapped to an element in the co-domain.
These two conditions are satisfied to call a relation, a function.
Two different elements in the domain can be mapped to the same element in the co-domain. But the same element in the domain cannot be mapped to two different elements in the co-domain.
A) (1,2), (3,4), (5,6), (3,-4)
Here, the element '3' is mapped to 4 and -4. So, this is not a function.
B) (8,4), (4,3), (2,2), (8,1)
'8' is mapped to 4 and 1. So, it is not a function.
C) (2,5), (3,10), (4,15), (5,20)
All the elements in the domain are mapped to an element in the co-domain. Also, every element in the domain has exactly one image in the co-domain. So, this relation is a function.
D) (2,4), (2,3), (2,1), (2,0)
The element '2' has more than one image. Clearly, it contradicts the definition of a function.
So, only OPTION C is the answer.
Northwest molded mold plastic handles which cost 0.20 per handle to mold. The fixed cost to run the molding machine is $ 7396 per week. If the company sells the handles for $4.20 each, how many handles must be molded and sold weekly to break even?
Answer:
1849 handles
Step-by-step explanation:
Break Even is the point when costs = profit
Since each handle takes $0.20 to make (cost) and they sell it for ($4.20), the profit from each handle is:
Profit = 4.20 - 0.20 = $4
The weekly costs are $7396. Break even would mean to gain this amount from selling handles (profit).
So, from each handle, we get $4 and to make $7396, we would need:
7396/4 = 1849 handles
Which graph represents the function over the interval [−3,3] ?
f(x)=⌈x+1⌉
Answer: The correct graph is the bottom left graph.
Step-by-step explanation:
Given function is f(x)=ceil(x+1)
To plot graph of f(x) in interval of(-3,3) :
ceil(x+1) is ceiling function
The output of ceil(x) is least integer greater than x
for example ceil(5.5)=6
For an interval of (-3,-2):
Take x=(-2.4)
x+1=(-1.4)
y=f(x)=ceil(x+1)=(-1)
Similarly,
For an interval of (-2,-1):
Take x=(-1.4)
x+1=(-0.4)
y=f(x)=ceil(x+1)=(0)
For an interval of (-1,0)
y=f(x)=1
For an interval of (0,1)
y=f(x)=2
For an interval of (1,2)
y=f(x)=3
For an interval of (2,3)
y=f(x)=4
Thus, The correct graph is the bottom left graph.
Answer:
The bottom left graph
Step-by-step explanation:
I took this quiz
5. Mike weighs 200 pounds and plans to
lose 1.5 pounds a week. Jeff weighs 180
pounds and plans to lose 0.5 pounds a
week. When will Mike and Jeff weigh the
same?
Answer:
20 weeks
Step-by-step explanation:
200-1.5x=180-.5x
20=1x
X=20
Maria says if I multiply the current temperature by 4 and then subtract 40 the results is the same as 3 times the current temperature Richard says the current temperature is 20 degrees is Richard correct
Answer:
No, Richard is incorrect, the current temperature is 40 degrees.
Step-by-step explanation:
4x-40=3x
4x-3x=40
x=40
An item is regularly priced at $55. It is now priced at a discount of 25 off the regular price.
Use the ALEKS calculator to find the price now.
Step-by-step explanation:
Do 25% of $55 which is $13.75
You have the right idea but you're supposed to then subtract $13.75 from the original
So:
55 - 13.75 = $41.25
is it possible for a figure to have 90° rotational symmetry but not 180° rotational symmetry.
Answer:
Well, It is but not because..rotation symmetry, and a square has -turn (or 90-degree) rotation symmetry. As you may have already observed, many figures have 180-degree rotation symmetry but no other rotation symmetry. A figure has 180-degree rotation symmetry if it looks the same when turned halfway around...Soo yeah..I think I am right, So sorry if I'm wrong.
Step-by-step explanation:
Yes, a figure can have 90° rotational symmetry but not 180° rotational symmetry.
Explanation:Yes, it is possible for a figure to have 90° rotational symmetry but not 180° rotational symmetry. To understand this, think about the number '6'. If you rotate it 90° clockwise, it looks exactly the same, but if you rotate it 180°, it becomes '9'. So, the figure has 90° rotational symmetry but not 180° rotational symmetry.
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Choose the property of addition that justifies the equation.
(6 + x) + 8 = 6 + (x + 8)
(Choose one)
Answer:
Associative
Step-by-step explanation:
Associative property is the one that says that when 3 or more numbers are summed, the grouping of such numbers has no effect on the result of the sum. It is:
(a + b) + c = a + (b + c) for every a, b and c real numbers.
how do you re-write 0.7 repeating as a simplified fraction?
Answer:
7/10
Step-by-step explanation:
because .7*10 = 70 and it would be 70/100 so you simplify it to 7/10
Answer:
[tex]\frac{7}{9}[/tex]
Step-by-step explanation:
Given
0.77......
We require 2 equations with the repeating part after the decimal point.
let x = 0.77.... (1) ← multiply both sides by 10
10x = 7.77.... (2)
Subtract (1) from (2) thus eliminating the repeating decimal
9x = 7 ( divide both sides by 9 )
x = [tex]\frac{7}{9}[/tex]
$75 dinner; 18% tip
please help me!
Answer:
88
Step-by-step explanation:
Answer:
$13.50
Step-by-step explanation:
So your total would be $88.50