Answer:
Solve for y.
Step-by-step explanation:
6x+2y=10
6x+2y-6x=10-6x subtract 6x from both sides.
2y = -6x+10
2y/2 = -6x/2+10/2 divide each term by 2.
y = -3x+5
Hope this helps!
if it takes three people 4 hours to clean a warehouse how long will it take 4 people to clean the warehouse
The solution is ,if it takes three people 4 hours to clean a warehouse , then 3 hours will it take 4 people to clean the warehouse.
Here, we have,
given that.
if it takes three people 4 hours to clean a warehouse
now, we have to find that how long will it take 4 people to clean the warehouse.
i.e. we have,
3 people take to clean = 4 hours
let, 4 people will take to do it x hours.
now, we have,
3 people take to clean = 4 hours
so, 1 people take to clean = 4*3 hours
so, 4 people take to clean = 4*3 / 4 hours
i.e. we get,
x = 4*3 / 4 hours
or, x = 12/4 hours
= 3 hours
Hence, if it takes three people 4 hours to clean a warehouse , then 3 hours will it take 4 people to clean the warehouse.
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Which line is perpendicular to a line that has a slope of -1/3?
a. line MN
b. line AB
c. line EF
d. line JK
Answer:
Option (c)
Step-by-step explanation:
Slope of a line that passing through two points M(-1, 4) and N(2, -5),
\(m_1\) = \(\frac{y_2-y_1}{x_2-x_1}\)
= \(\frac{-1-2}{4+5}\)
= -(\(\frac{3}{9}\))
= -\(\frac{1}{3}\)
To find the line perpendicular line to MN we will use the property,
\(m_1\times m_2=-1\)
Where \(m_1\) and \(m_2\) are the slopes of two perpendicular lines.
Slope of line perpendicular to MN \((m_2)\) will be,
\(-\frac{1}{3}\times m_2=-1\)
\(m_2=3\)
Slope of line joining two points J(-3, -4) and K(3, -2),
Slope = \(\frac{-4+2}{-3-3}=\frac{1}{3}\)
Slope of line joining two points A(-3, 2) and B(3, 0)
Slope = \(\frac{2-0}{-3-3}=-\frac{1}{3}\)
Slope of the line joining points E(0, -3) and F(2, 3),
Slope = \(\frac{-3-3}{0-2}\) = 3
Therefore, line EF is perpendicular to the line MN.
Option (c) is the answer.
Order the numbers from greatest to least 0.7 0.007 1.7 0.17
Answer:
1.7,0.7,0.17,0.007 is the answer
Classify each polynomials degree
1) X^3+2x^2-8x+16
2) X^4+4
3) -x^4-5x^4+1
4) 3x^5+7x^4-9x
Answer:
1). 3
2) 4
3). 4
4). 5
hope it helps ☺️☺️
Which are true of the function f(x)=49(1/7)?select three options. A)The domain is the set of all real numbers. B) the range is the set of all real numbers. C) the domain is x >0. D)the range is y>0. E)as increases by 1, each y value is one -seventh of the previous y-value.
Answer:
A,D and E
Step-by-step explanation:
We are given that a function
\(f(x)=49(\frac{1}{7})^x\)
The given function is exponential function .
The exponential function is defined for all real values of x.
Therefore, domain of f=Set of all real numbers
Substitute x=0
\(y=f(0)=49>0\)
Range of f is greater than 0.
x=1
\(y(1)=\frac{49}{7}\)
x=2
\(y=49(\frac{1}{7})^2=\frac{1}{7}y(1)\)
As x increases by 1, each value of y is one-seventh of the previous y-value.
Therefore, option A,D and E are true.
Answer:
A D E
Step-by-step explanation:
Edge2020 quiz
Please help! Correct answer only, please! Jason has the following averages in his math class: homework avg: 80 quiz avg: 84 test avg: 74 final exam: 60 if the teacher weights homework at 20%, quizzes at 30%, tests at 40%, and the final exam at 10%, what is jason's class average? A. 74 B. 77 C. 79 D. 82
Answer:
B.
Step-by-step explanation:
So calculate it by multiplying and adding.
0.2 * 80 + 84 * 0.3 + 0.4 * 74 + 0.1 * 60 = 76.8
Round that up:
77
please help me guys im lost
Answer:
D. BC ≅ EF
Step-by-step explanation:
ASA means you're trying to show congruence by showing two angles A..A and the segment between them ..S.. are congruent. The figure shows two congruent angles. What remains is to show the segments between are congruent.
__
In ∆ABC, the marked angles are B and C, so the segment between them is BC.
In ∆DEF, the marked angles are E and F, so the segment between them is EF.
These are the segments that need to be shown congruent if you're using ASA.
BC ≅ EF
What is the solution to the compound inequality: 10<2x-4<20
Answer:
7 < x < 12
Step-by-step explanation:
To solve this inequality, solve it the same way you do a normal function. Perform the same actions on both sides of the inequality.
\(10 < 2x-4 < 20\\14 < 2x < 24\\7 < x < 12\)
What is the surface area of the cone?
Answer:
V=1/3*pi*radius(to the power of two)*height
Answer: 14 in squared
Please break down how to do these pls
The value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
Simplifying an equation is simply another way of saying solving a math problem. When you simplify a phrase, you are attempting to write it in the simplest way feasible. In conclusion, there should be no more adding, subtracting, multiplying, or dividing to do.
Given expression 1. -4\(x^{-2}\) + 3\(y^{0}\) 2. 2\(x^{0}\)\(y^{-2}\)
Expression for x =2 and y=5
-4x-2 + 3y0
= -4(2)-2 + 3(5)0
= 16+3
=19
Now
2x0y-2
= 2(2)0x(5)-2
= 2 x (1/25)
= 2 x 0.04
= 0.08
Therefore the value of given expressions is -4\(x^{-2}\) + 3\(y^{0}\) = 19 and 2\(x^{0}\)\(y^{-2}\) = 0.08
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Jayden budgets $400 of his $3,200 monthly income towards donations. What percent of his income does he donate each month?
Answer:
12.5%
Step-by-step explanation:
400 divided by 3200= .125
.125 x 100= 12.5
12.5%
Plz answer correctly
Answer:
628
Step-by-step explanation:
area of full circle is pir^ 2
divide by 2 for semicircle
Adding Rational Expressions
Simplify the following sum, and show all work please.
The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1)(x - 2)
We have to given that;
Expression is,
⇒ [x /(x² - x - 2)] + [ (x - 1) / (x - 2) ]
We can simplify as;
⇒ [x / (x² - x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x² - 2x + x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / [ x (x - 2) + 1(x - 2)] + [(x - 1) / (x - 2)]
⇒ [x / (x - 1) (x - 2)] + [(x - 1) / (x - 2)]
⇒ [1/(x - 2)] [ x/(x - 1) + (x - 1) ]
⇒ [1 / (x - 2)] × [ x + (x - 1)²] / (x - 1)
⇒ [x + (x - 1)² ] / [(x - 1) (x - 2)]
⇒ (x + x² - 2x + 1) / (x - 1) (x - 2)
⇒ (x² - x + 1) / (x - 1) (x - 2)
Hence, The solution of sum of expression is,
⇒ (x² - x + 1) / (x - 1) (x - 2)
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What is the solution to the equation 23(y−6)=−(y+2)+1?
y=−35
y=15
y=95
y=275
Answer:
They all make the equation false?
Which statement is FALSE about a number and its multiplicative inverse?
A. Their product is always 1.
B. They are reciprocals of each other.
C. Their sum is always positive.
D. Their product is never negative.
The statement that is FALSE about a number and its multiplicative inverse is; Option C: Their sum is always positive.
What is Multiplicative Inverse?A multiplicative inverse for a number y, denoted by 1/y or y⁻¹, is a number which when multiplied by y yields the multiplicative identity, 1. The multiplicative inverse of a fraction x/y is y/x. Thus, for the multiplicative inverse of a real number, divide 1 by the number.
Now, looking at the options;
Option A; Since the multiplicative inverse is a reciprocal of the number, it means it's product will always be 1. Thus, this is true.
Option B; By definition as seen above, yes they are reciprocals of each other.
Option C; Their sum cannot always be positive because if both numbers are negative then their sum will be negative and so this option is false.
Option D; This statement is true because the product must always be positive,.
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Answer:
The Answer is c.) Their sum is always positive
Step-by-step explanation:
Select all of the following that can be a counterexample for the statement below.
If x is an integer, then x + 2 >7
1- -2
2- 0
3- 3
4- 4
5- 6
6- 8
Answer:
-2. 0. 3. 4
Step-by-step explanation:
counterexample are the opposite so ur gonna chose the false ones the number has to be less than 7 so -2 0 3 4
Find the equation of the linear function represented by the table below in slope-intercept form. x y 1 2 2 0 3 -2 4 -4
The equation of the line is will be y = -2x + 4.
What is an equation of the line?An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.
The general form of the equation of the line:-
y = mx + c
m = slope
c = y-intercept
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Calculate the slope of the line,
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope = ( -2 - 0) / ( 2 - 1) = -2
The y-intercept will be calculated as,
y = mx + c
0 = -2 x 2 + c
c = 4
The equation of the line will be,
y = mx + c
y = -2x + 4
Therefore, the equation of the line will be y = -2x + 4.
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the ratio of the angles in a triangle is 3:10:7, what is the measure of the smallest angle
Answer:
27°
Step-by-step explanation:
Let the measure of the angels be 3x, 10x, 7x.
\(3x + 10x + 7x = 180 \degree \\ \\ 20x = 180 \degree \\ \\ x = \frac{180 \degree}{20} \\ \\ x = 9 \degree \\ smallest \: angle \: = 3x \\ \\ = 3 \times 9 \degree \\ \\ = 27 \degree\)
What is the domain of f(x)=5x-7
Answer:
(-infinity, infinity)
Step-by-step explanation:
You’re welcome, sorry I couldn't out the symbols. I don't have them on my keyboard :).
Answer:
R (all real numbers)
R (all real numbers)
Step-by-step explanation:
find the values of x and y in the following triangle
A sample of 16 items from population 1 has a sample variance 5.8 and a sample of 21 items from population 2 has a sample variance 2.4. Test the following hypotheses at the .05 level of significance. H0: Population 1 Variance < Population 2 Variance Ha: Population 1 Variance > Population 2 Variance a. What is the p-value
Answer:
Reject the null hypothesis.
Step-by-step explanation:
n1 = 16
n2 = 21
S.V1 = 5.8
S.V2 = 2.4
\(\alpha\) = 0.05
\(H_{0}\) = Population Variance 1 ≤ Population Variance 2
\(H_{a}\) = Population Variance 1 > Population Variance 2
Test statistic value = 5.8 / 2.4 = 2.417
Degrees of freedom is n - 1
15 and 20
Critical value is \(F_{0.05}\) = 2.2
2.417 > 2.2
we reject the null hypothesis as the critical value is greater than the test statistic.
help me pls w dis question i need help
Answer:
A:10B: \(\frac{A}{2}\)
Step-by-step explanation:
[] Let A be Amy, B be Bill, and C is Cara.
-> Amy's score was ten times Bill's score
A * 10 = B or 10A = B
-> Cara's score was half of Amy's score
C = A * \(\frac{1}{2}\) or C = \(\frac{A}{2}\)
[] The ratio is A to B to C because it asks for Amy to Bill to Cara. We can use our numbers from above to solve. This problem seems to revolve around Amy, so she can be set to A.
-> A = A
-> B = 10A
-> C = \(\frac{A}{2}\)
A:10B: \(\frac{A}{2}\)
Have a nice day! - hopefully this is correct, different math classes look for different things.
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly.
- Heather
5. Given the exponential function f(x) = 4(3)*, find f(0) and f(1).
O A. f(0) = 4; f(1) = 12
O B. f(0) = 4; f(1) = 36
O C. f(0) = 12; f(1) = 36
O D. f(0) = 12: f(1) = 4
Answer:
C
Step-by-step explanation:
The answer is C
The perimeter of a square is 56. Express the length of a diagonal of the square in simplest radical form.?
The length of a diagonal of the square in simplest radical form is; 2√7
What is the length of the diagonal of the square?We are given that;
Perimeter of square = 56
Now, the formula for perimeter of a square is;
P = 4s
where s is side length of square. Thus;
56 = 4s
s = 56/4
s = 14
Now, the diagonal of a square is given by the formula;
Diagonal = √(2s²)
Thus;
Diagonal = √(2 * 14²)
Diagonal = √(2 * 2 * 7)
Diagonal = 2√7
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Student Council has 1,064 flowers. They want to divide the flowers evenly among 28 centerpieces. How many flowers will be in each centerpiece?
To find out how many flowers will be in each centerpiece, we can divide the total number of flowers by the number of centerpieces:
Total number of flowers: 1,064
Number of centerpieces: 28
Number of flowers in each centerpiece = Total number of flowers / Number of centerpieces
Number of flowers in each centerpiece = 1,064 / 28 = 38
Therefore, there will be 38 flowers in each centerpiece.
\(\huge{\mathfrak{\colorbox{black}{\textcolor{lime}{I\:hope\:this\:helps\:!\:\:}}}}\)
♥️ \(\large{\textcolor{red}{\underline{\mathcal{SUMIT\:\:ROY\:\:(:\:\:}}}}\)
Answer: 38
Step-by-step explanation:
The question is asking you to divided.
1064 divided by 28 = 38
So there will be 38 flowers in each centerpiece
what is the reflection of (5, -3.5) across x-axis
Answer:
(-5,-3.5)
Step-by-step explanation:
Answer:
When you reflect a point across the x-axis, the x-coordinate remains the same, but the y-coordinate is transformed into its opposite (its sign is changed). If you forget the rules for reflections when graphing, simply fold your paper along the x-axis (the line of reflection) to see where the new figure will be located.
Step-by-step explanation:
For the sequence 25, 21, 17, 13, 9, ….: (i) Find recursive and non-recursive formulas
Answer: Recursive: \(x_{a}\)=\(x_{a-1}\)-4
Non-Recursive: v=-4t+29
Step-by-step explanation:
Recursive: Since the change in the sequence is -4, the recursive formula is:
\(x_{a}\)=\(x_{a-1}\)-4
Non-Recursive: Change=-4
Slope=-4
t=term
v=value
v=mt+b
v=-4t+b
21=-4(2)+b
21=-8+b
b=29
v=-4t+29
beinggreat78 this is ittttt :P
Answer:
They are related because the radius is half of the diameter.
radius is the distance from the centre of a circle to any point on its circumference and diameter of the circle is a straight line which halves the circle from the center.
\(c = 2\pi \: r\)
\(r = \frac{c}{\pi \: r} \)
therefore, the radius is half the diameter.
answer= option 1
Write the data from greatest to least: 0.8, 0.79, 0.08, 0.81, 0.09, 0.9, 0.89
Answer:
0.9, 0.89, 0.81, 0.8, 0.79, 0.09, 0.08
Step-by-step explanation:
Answer: 0.09 , 0.89 , 0.81, 0.08, 0.79 , 0.9, 0.8
Step-by-step explanation:
First find the greatest
0.09, 0.89,0.81, 0.08, 0,79
Then the least
0.9 .0.8
Now put it all together
0.09, 0.89. 0.81 , 0.08, 0.79 , 0.9, and lastly 0.8
Evaluate the expression 7x for x = 2.
Answer:
Step-by-step explanation:
7x
If X=2
7(2)
=14