The slope of a line is given by the formula:
horizontal change
m
vertical change
True
False
Answer:
The answer is True
Eric jog 3 1\4 miles on Monday 5 5\8 miles on Tuesday and 8 miles on Wednesday suppose he continues the pattern for the remainder of the week how far will Eric jog on Friday
Step-by-step explanation:
first, let's bring everything to the same fraction denominator, which would be 1/8 to cover all.
so, he jogs
3 2/8 miles on Monday
5 5/8 miles on Tuesday
8 0/8 miles on Wednesday
the difference from day to day is
5 5/8 - 3 2/8 = 2 3/8 (subtract the whole numbers and then also the fractional part).
to control :
5 5/8 + 2 3/8 = 7 8/8 = 8
so, he adds every day 2 3/8 miles.
that means in 2 days (from Wednesday to Friday) this will be additional 2×(2 3/8) = 4 6/8 = 4 3/4 miles.
so, he will jog
8 + 4 3/4 = 12 3/4 miles
on Friday.
don't forget, when we write something like 2 3/8. we actuality mean (2 + 3/8). and all rules about handling, transforming and calculating expressions apply.
therefore, e.g
2×(2 3/8) = 2×(2 + 3/8) = 4 + 6/8 = 4 6/8 = 4 3/4
What’s the answer to this question
Answer:
398 * 1.034^t
Step-by-step explanation:
P = 398(1 + 3.4%)^t = 398 * 1.034^t
Mathematical Literacy
Mr Lukhele is 56 years old ,he lives in Johannesburg and earns a basic salary of R47300 per month.He contributes to a medical aid for him and his wife
Determine Mr Lukhele's monthly taxable iincome?
Answer:64.62
Step-by-step explanation:
Step-by-step explanation:
Find the Volume of a cylinder with a diameter of 5 in and the height of 10 in. Use π = 3.14
Answer:
196.25in^3
Step-by-step explanation:
[tex]diameter(d) = 5in \\ radius(r) = 2.5in \\ height(h) = 10in \\ \\ volume = \pi {r}^{2} h \\ volume = 3.14 \times {2.5in}^{2} \times 10in \\ volume = 196.25 {in}^{3} [/tex]
write a point slope equation
point slope equation formula: y - y1 = m (x - x1)
(-1,4) (-2,1)
answer:
1 -4 = 3 (-2+1)
2. Marty’s herb garden is 9/10 of a yard wide and 0.85 inches long. Which is greater, the width or length? explain why.
Answer:
length
Step-by-step explanation:
because 9/10 will be:
9 divided by 10= 0.9
and 0.85 is greater than 0.9
If we drop a rock near the surface of Earth, its velocity increases by 32 feet per second for each second the rock falls. Is the velocity of the rock a linear function of the time since it was dropped?
The velocity of the rock is the number of feet traveled per second
The velocity of the rock is a linear function of time
How to determine the function?From the question, we understand that the velocity increases by 32 feet per second for each second
This means that we have the following rates:
Velocity = 0, 32, 64, 96, 128....
Notice that the difference between adjacent numbers is 32.
This means that the velocity changes at a constant rate or slope
Hence, the velocity of the rock is a linear function
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What is the equation of the line that passes through the point ( 2 , − 3 ) (2,−3) and has a slope of 2
Answer: y = 2x -7
Step-by-step explanation:
The equation of a line is in the form y = mx + b
We know m = 2
So, y = 2x + b
we need to find b, and we can use either point given to find it:
lets use (2, -3):
-3 = 2(2) + b
-7 = b
now we know, the line's equation is y = 2x -7
hi! what’s the square root of 82 rounded to the nearest tenth?
Answer:
9.1
Step-by-step explanation:
I went into my calculator and typed in [tex]\sqrt{82}[/tex] and I was given:
9.055385...
So to round the nearest tenth, you look at the tenths place (which is 0) and go one number behind that (which is 5). Since the number behind the tenths place is 5 or higher, you round up to 1
Use elimination to solve for x and y: -2x-y=9 2x-9y=1
Group of answer choices A. (5, 1) B. (-1, -7) C. (-4, -1) D. (-1, -4)
Answer:
C
Step-by-step explanation:
Label the two equations:
-2x -y= 9 -----(1)
2x -9y= 1 -----(2)
(1) +(2):
-2x -y +2x -9y= 9 +1
-2x +2x -y -9y= 10
Simplify:
-10y= 10
y= 10 ÷(-10)
y= -1
Substitute y= -1 into (2):
2x -9(-1)= 1
2x +9= 1
2x= 1 -9
2x= -8
x= -8 ÷2
x= -4
Thus, the solution is (-4, -1).
In the figure, m ║ n and p is a transversal. Which of the following are corresponding angles?
A. ∠1 and ∠7, ∠2 and ∠8
B. ∠2 and ∠8, ∠1 and ∠6
C. ∠3 and ∠6, ∠4 and ∠5
D. ∠3 and ∠7, ∠4 and ∠8
condense each expression [tex]5log {_{5} } x-\frac{1}{4} log_{5} (8-x)[/tex]
Answer:
5 log₅ x − ¼ log₅ (8−x)
log₅ x⁵ − log₅ (8−x)^¼
log₅ x⁵ − log₅ ∜(8−x)
log₅ (x⁵ / ∜(8−x)) is the answer
Step-by-step explanation:
hope this helps
Answer:
[tex]log_5\biggr(\frac{x^5}{(8-x)^{\frac{1}{4}}}\biggr)[/tex]
Step-by-step explanation:
[tex]5log_5(x)-\frac{1}{4}log_5(8-x)\\ \\log_5(x^5)-log_5((8-x)^{\frac{1}{4}})\\\\log_5\biggr(\frac{x^5}{(8-x)^{\frac{1}{4}}}\biggr)[/tex]
•Solve the given problem below.
•Show your complete solution using appropriate strategies and tools.
Problem. In a basketball court, a free throw area was painted as shown at the right. Find the area covered if the side measures 5 meters.
The area covered if the side measures 5 meters. is 34.68 m²
The area of a composite shapeThe area of the shown figure is given as:
Area of the figure = area of square + area of a semicircle
Area of square = 5^2 = 25 square meters
Area of semicircle = πr²/2
Area of semicircle = (3.14)(2.5)²/2
Area of semicircle =9.6875 square meter
Area of the figure = 25 + 9.6875
Area of the figure = 34.68 square metres
Hence the area covered if the side measures 5 meters. is 34.68 m²
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Fill in the blanks to show the value of the expression as a mixed number and as
an improper fraction.
3x4/5=
Answer:
12/5 or 2,2/5
Step-by-step explanation:
[tex]3 \times \frac{4}{5} [/tex]
[tex] = \frac{12}{5} [/tex]
[tex] = 2 \frac{2}{5} [/tex]
pls give brainliest
What is the first step you would take to solve the equation 1 1/2 + 2 1/3 = ?
A. First, you should convert the mixed numbers to improper fractions.
B. First, you should simplify the fractions with the GCF.
C. First, you should clearly state your final answer.
D. First, you should multiply the numerators and denominators.
The first step to solve the equation 1 1/2 + 2 1/3 = ? is (a) First, you should convert the mixed numbers to improper fractions.
How to determine the first step?The equation is given as:
1 1/2 + 2 1/3 = ?
The terms in the equation are mixed numbers.
So, the first stem is to convert the mixed numbers to improper fractions
Hence, the true statement is (a) First, you should convert the mixed numbers to improper fractions.
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Here is a linear equation: y = 1/4x +5/4
Are (1, 1.5) and (12, 4) solutions to the equation?
Yes or No?
PLEASE NEED HELP
Answer:
The answer is "yes"Step-by-step explanation:
make me brainliest pls and follow me
Please show work and thank you
Step-by-step explanation:
since it's an isosceles triangle, DE = EF
i.e. 8x-13 = 5x+ 17
or 8x -5x = 17 +13
or 2x = 30
or X = 15
The rate of change is:
-4
-1
1
4
the slope goes by several names
• average rate of change
• rate of change
• deltaY over deltaX
• Δy over Δx
• rise over run
• gradient
• constant of proportionality
however, is the same cat wearing different costumes.
to get the slope of a straight line we only need two points off of it, hmmm let's use from the table (-1 , 13) and (2 , 1)
[tex](\stackrel{x_1}{-1}~,~\stackrel{y_1}{13})\qquad (\stackrel{x_2}{2}~,~\stackrel{y_2}{1}) \\\\\\ \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{1}-\stackrel{y1}{13}}}{\underset{run} {\underset{x_2}{2}-\underset{x_1}{(-1)}}}\implies \cfrac{-12}{2+1}\implies \cfrac{-12}{3}\implies -4[/tex]
The required rate of change in the slope-intercept form is -4. Option A is correct.
What is the slope of the line?The slope of the line is the tangent angle made by line with horizontal. i.e. m =tanx where x in degrees.
Here,
Two coordinates from the table,
(-2, 17) and (-1, 13)
Now,
Rate of change = slope of the function = (13 - 17) / (-1 - (-2))
= -4 / 1
= -4
Thus, the required rate of change in the slope-intercept form is -4. Option A is correct.
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Answer please! ))))))))))))))
(LOTS OF POINTS)
Julia has 2 more marbles than John. If the total number of marbles is 18, write an equation to represent the situation using a variable.
Answer:
Step-by-step explanation:
y= john's balls
y+2+y = 18
2+2y = 18
what the answer 1/7 of21
Answer:
1/7 of 21 is 3.
Step-by-step explanation:
If we multiply 1/7 by 21/1, we can 21/7. 21/7 is equivalent to 3.
QUESTION ON PIC THANK YOU FOR ANSWERING
1. The polynomial of degree 5, P(x) has leading coefficient 1, has roots of multiplicity 2 at x=1 and x=0 and a root of multiplicity 1 at x= -5 Find a possible formula for P(x)
The degree of the polynomial P(x) is the highest power of the polynomial P(X)
A possible formula for P(x) is [tex]P(x) =(x + 5)x^2(x - 1)^2 \\[/tex]
How to determine the polynomialThe given parameters are:
Roots of multiplicity 2 at x=1 and x=0
Root of multiplicity 1 at x= -5
Write out the roots
x=1 and x=0 ------- Multiplicity 2
x = -5 ------- Multiplicity 1
Equate the roots to 0
x - 1 = 0 and x = 0 ------- Multiplicity 2
x + 5= 0 ------- Multiplicity 1
Place the multiplicities as the exponents of the roots
(x - 1)^2 = 0 and x^2 = 0
(x + 5)^1 = 0
Multiply the expressions
[tex](x - 1)^2 * x^2 * (x + 5)^1 = 0 * 0 * 0[/tex]
This gives
[tex](x - 1)^2 * x^2 * (x + 5) = 0[/tex]
Rewrite as:
[tex](x + 5)x^2(x - 1)^2 = 0[/tex]
Replace 0 with P(x)
[tex]P(x) =(x + 5)x^2(x - 1)^2[/tex]
Hence, a possible formula for P(x) is [tex]P(x) =(x + 5)x^2(x - 1)^2 \\[/tex]
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Which is the product of 15 and 5/12
A. 5 5/12
B. 6 1/4
C. 7 1/12
D. 7 3/4
Answer:
[tex]b)\ 6\frac{1}{4}[/tex]
Step-by-step explanation:
Which is the product of 15 and 5/12
[tex]15*\frac{5}{12} \\\\\frac{15}{1} *\frac{5}{12}\\\\\frac{5}{1}*\frac{5}{4}\\\\ \frac{25}{4} \\\\6\frac{1}{4}[/tex]
Hope this helps!
Hi!
Your answer is B.
Given:
[tex]15*\dfrac{5}{12}[/tex]
Change [tex]15[/tex] into a fraction by putting it over [tex]1[/tex]
[tex]\dfrac{15}{1} * \dfrac{5}{12}[/tex]
Multiply the numerators and the denominators by each other:
[tex]\dfrac{15*5}{12*1} =\dfrac{75}{12}[/tex]
Simplify:
[tex]\dfrac{75/3}{12/3} = \dfrac{25}{4}[/tex]
Mixed number form = [tex]6\dfrac{1}{4}[/tex]
36 A line L passes through the point (2,3) andis, perpendicular to a line with the equation 3y = 20 +3. Determine the equation of Lin the following form form = mo to
Answer:
- 1/2
Step-by-step explanation:
I did the math and got the answer -1/2
Tim bought a certain number of bags of chips that each cost $1.05. Find the cost of 2 bags.
Answer:
$2.10
Step-by-step explanation:
To get this answer all you have to do is, $1.05 x 2 = $2.10
Which of the following is the graph of an odd-degree polynomial with a positive lead
coefficient?
(Answer choices are in the image)
The third graph is the only one that is an an odd-degree polynomial with a positive lead coefficient.
How to Interpret the graph of a Polynomial?An even number of total minimums/maximums of the Polynomial is classified as an odd-degree polynomial. Now, we see that only the 3rd and 4th graphs are odd-degree polynomials because they have four total minimums/maximums.
For the polynomial to have a positive leading coefficient, the line must go up in the positive direction. This means that only the 1st and 3rd graphs have a positive leading coefficient due to the fact that their right-most line is going upwards.
Thus, we can say that the third graph is the only one that is an an odd-degree polynomial with a positive lead coefficient.
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what is 36 more than 40
Answer:
76.
Step-by-step explanation:
Forty "more" implies that you are adding forty to thirty-six. Making it seventy-six.
The number that is 36 more than 40 will be 76.
What is Algebra?Algebra is the analysis of abstract symbols, while reasoning is the manipulation of all those views.
The definition of unsophistication is making something simpler to achieve or grasp while also making it a little less difficult.
Let 'x' be the number that is 36 more than 40. Then the equation is given as,
x = 36 + 40
Add the number 36 and 40, then we have
x = 36 + 40
x = 76
The number that is 36 more than 40 will be 76.
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Solve the equation algebraically.
400 = 1600 ( 6 -0.5x )
Round your final answers to two decimal places.
Answer:
400 = 1600 ( 6 -0.5x )
distruibite
9600-800x=400
-9600
-800x=-9200
get rid of negitive
800x=9200
divide by 800
x=11.5
Hope This Helps!!!