Answer:
[tex]y=-\frac{3}{4}x+7[/tex]
Step-by-step explanation:
The slope is already given as [tex]-\frac{3}{4}[/tex] so all we have to do is solve for y-intercept
First, write the equation in slope-intercept form
[tex]y=-\frac{3}{4}x+b[/tex]
Next, use the point to substitute the x and y value and solve for the y-intercept
[tex]y=-\frac{3}{4} x+b[/tex] where b = y-intercept
point: (8, 1)
[tex]1=-\frac{3}{4}(8)+b[/tex]
Then multiply 8 and -3/4
[tex]1=-6+b[/tex]
Finally, solve for the b (y-intercept)
b = [tex]1--6[/tex]
b = 7
so the y-intercept is 7
And the equation of the line that passes through the point (8, 1) and has a slope of -3/4 is [tex]y=-\frac{3}{4}x+7[/tex]
Vertical Stretch of 7, up 8, reflect over the x axis???
Answer:
f(x) = -(7x) + 8
Step-by-step explanation:
The negative on the outside reflects over the x-axis.
The 7 on the inside stretches the function vertically.
The +8 on the outside moves the function up 8.
10
16. There are 36 tables set up for the graduation reception. Each table is
8 feet long. The tables will be covered with paper tablecloths that extend
an extra 3 inches over each end (so they can be taped underneath). What
is the total length of paper needed to cover all the tables?
We have that the total length of paper needed to cover all the tables is
[tex]X=288.5ft[/tex]
From the question we are told that:
Number of tables [tex]n=36[/tex]
Length of table[tex]l=8[/tex]
Extension [tex]e=3 inch =>0.25feet[/tex]
Generally, the equation for the Total length tables is mathematically given by
[tex]l_t=n*l\\\\l_t=36*8[/tex]
[tex]l_t=288ft[/tex]
Therefore with an extension of 0.25ft at both end we have the Total length of tablecloths to be
[tex]X=l_t+2(e)\\\\X=288ft+2(0.25)[/tex]
[tex]X=288.5ft[/tex]
In conclusion
The total length of paper needed to cover all the tables is
[tex]X=288.5ft[/tex]
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2. When a number n is subtracted from 18
and the difference is divided by n, the
result is 2. What is the value of n?
(A) 4
(B) 6
(C) 8
(D) 10
(E) 14
Answer:
e) 14
Step-by-step explanation:
(18-n)/2 = 2
18-n = 4
-n = -14
n = 14
The value of n when n is subtracted from 18 and the difference is divided by n, the result is 2 is 6.
What is Algebra?The representation of mathematical statements as solutions to problems is the focus of the branch of mathematics known as algebra. Mathematical operations like addition, subtraction, multiplication, and division are combined with variables like x, y, and z to produce a meaningful mathematical statement.
Given:
When a number n is subtracted from 18
=(18- n)
and, the difference is divided by n
=(18 - n)/n
so, result is 2
(18 - n)/n = 2
18 - n = 2n
3n = 18
n= 18/3
n= 6
Hence, the value of n is 6.
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I need the perimeter of this triangle. Round to the nearest tenth. Quickly please
Answer:
The perimeter of the triangle is about 17.1 units.
Step-by-step explanation:
The perimeter of a triangle is the sum of its three side lengths.
We can see that the two legs of the triangle both measure five units.
To find the third segment, we can use the Pythagorean Theorem since the x-axis is perpendicular to the y-axis. Recall that:
[tex]a^2 + b^2 = c^2[/tex]
Where a and b are the two legs and c is the hypotenuse.
Our two legs are 5 and 5. Hence:
[tex](5)^2 + (5)^2 = c^2[/tex]
Solve for the hypotenuse:
[tex]\displaystyle \begin{aligned} c &= \sqrt{(5)^2 + (5)^2} \\ &= \sqrt{2(5)^2} \\ &= 5\sqrt{2}\end{aligned}[/tex]
Hence, our perimeter will be:
[tex]\displaystyle P = 10 + 5\sqrt{2} \approx 17.1 \text{ units}[/tex]
In conclusion, the perimeter of the triangle is about 17.1 units.
3(b − 6) = 9
b =
The test is timed
Answer:
b = 9
Step-by-step explanation:
3(b − 6) = 9
3b - 18 = 9
3b = 9 + 18
3b = 27
b = 9
Answer:
b = 9
Step-by-step explanation:
[tex]3(b - 6) = 9[/tex]
[tex]3(b - 6) \div 3 = 9 \div 3[/tex]
[tex]b - 6 = 9 \div 3[/tex]
[tex]b - 6 = 3[/tex]
[tex]b - 6 + 6 = 3 + 6[/tex]
[tex]b = 3 + 6[/tex]
[tex]b = 9[/tex]
c) Convert 120 into quinary equivalent.
Assuming 120 is a base 10 numeral, then
120 = 100 + 20 = 4×5² + 4×5¹
so you have
120₁₀ = 440₅
If x≠0, which expression is equivalent to this expression?
Step-by-step explanation:
Here radical rule is that [tex]\sqrt[n]{x^{m} } = x^{m/n}[/tex] ; [tex]x\neq 0[/tex] so
[tex]\sqrt[4]{x^3} = x^{3/4}[/tex]
>>[tex](x^{3/4})/x^{1/12}[/tex]
>>[tex]x^{2/3}[/tex]
How many terms are in the following polynomial provided below? (give a
numerical value as answer - i.e., 10)*
3x2 – 2y + 8x – 16
Answer:
4
Step-by-step explanation:
A term is a constant or variable or product of constant and variables
3x² ----> term 1
-2y ------> term 2
+8x -------> term 3
-16 -------> term 4
A farmer has 180 bushels of apples for sale at a farmer's market. He sells an average of 15 3/4 bushels each day. After 6 days, what is the change in the total number of bushels the farmer has for sale at the farmer's market?
Find the smallest number that must be added to 7653 to make it a perfect square? Explain.
9514 1404 393
Answer:
91
Step-by-step explanation:
√7653 is about 87.48
The next largest perfect square is 88^2 = 7744. The value that must be added to 7653 to get 7744 is ...
7744 -7653 = 91
Adding 91 to 7653 will make it a perfect square.
I need help from big brain
Answer:
[tex]\frac{8}{3}[/tex] ÷ [tex]\frac{2}{3}[/tex]
Step-by-step explanation:
If you are asking how many times does 8/3 goes into 2/3 then this means 8/3 is the dividend. The dividend is the number that is being divided by another number. This means the answer would be 8/3 divided by 2/3. I hope this makes sense.
I hope this helps :). If you have any questions let me know. Have a good day.
Which of the following is true ?
Select one:
O a. 70<7-3
O b. 4-5<4-3
O c. 5-2 <5-3
O d. 25223
Answer:
b. 4 - 5 < 4 - 3
Step-by-step explanation:
a. 70 < 7 - 3
70 < 4
false, 70 is not greater than 4
b. 4 - 5 < 4 - 3
- 1 < 1
true, 1 is greater than -1
c. 5 - 2 < 5 -3
3 < 2
false, 2 is not greater than 3
d. 25223
?
hope this helps! if you have any questions, let me know!
I need help with my homework pls somone help….
Answer:
x > 9
Step-by-step explanation:
since the dot is open there won't be a line under
Each polygon is divided into a number of triangles. Find the number of triangles if the number of sides in a polygon is: (a) 6
Answer:
4 triangles
Step-by-step explanation:
the number of triangles in a polygon is (the number of sides in the polygon - 2)
The number of triangles inside a polygon with six sides are 4.
What is a polygon? What is a mathematical function, equation and expression? polygon : A polygon can be defined as a flat or plane, two-dimensional closed shape bounded with straight sides.function : In mathematics, a function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function.expression : A mathematical expression is made up of terms (constants and variables) separated by mathematical operators.equation : A mathematical equation is used to equate two expressions.Given is that the number of sides in a polygon is 6.
If the polygon has {n} sides, then the number of triangle in a polygon is → (n – 2).For n = 6, the number of triangles would be - (6 - 2) = 4Therefore, the number of triangles inside a polygon with six sides are 4.
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Sonia finished the 200-meter dash in 26.12 seconds. Gladys finished the 200-meter dash 1.08 seconds
faster than Sonia. How long did it take Gladys to run the 200-meter dash?
O 25.04 seconds
O 26.20 seconds
O 27.04 seconds
O 27.20 seconds
Answer:
25.04
Step-by-step explanation:
26.12-1.08
=25.04
Answer:
25.04
Step-by-step explanation:
For this problem we have to use subtraction
If Sonya finished the dash is 26.12 seconds and Gladys finished it 1.08 seconds faster, we have so subtract 26.12 by 1.08 to get her time
So we get 25.04
Hope this helps! :D
Which of these represents a whole number?
3.2 , 4, 8/4, 4/7
Answer:
4
Step-by-step explanation:
a whole number is a number with no fraction
4 is a whole number.
What is whole number?
Whole Numbers The numbers contain natural numbers and zero. Not a fraction or decimal. {0, 2, 3, 4, 5 6, 7, 8, 9, 10, 11 …} Integer.
A whole number exists simply as any positive numeral that does not contain a fractional or decimal part. This indicates that, for example, the numbers 0, 1, 2, 3, 4, 5, 6, and 7 exist as all whole numbers. Numbers such as -3, 2.7, or 3 ½ stand not whole numbers.
Hence, 4 is a whole number.
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PLEASE HELP!! 3 IN 1
1.solve and simplify 2/7 Divided by 4/5
2. Convert the fraction to a decimal 38/333
3. Convert the fraction to a decimal 12/111
Answer:
1. D
2.B
3.0.1081 (the one with a line over it)
I have two ice cream and I - 5 ice creams how many ice cream will be left
Answer:
2 1/5
Step-by-step explanation:
Taylor has a bank account earning 5 percent interest compounded annally. If her initial deposit was a 1,000, and she makes a withdrawal of $200 after 3 years, which of the following represents the total amount in her account after 7 years.
(A) 1,000 (1.05)^7- 200
(B) 1,000 (1.05)^3 + 800(1.05)^4
(C) 1,000 (1.05)^3 -200( 1.05)^4
(D) 1,000(1.05)^7 - 200(1.05)^4
Tomas works as an underwater photographer. He starts at a position that is 19 feet below sea level. He rises 8 feet, then descends 18 feet to take a photo of a coral reef. Enter an expression to find his position relative to sea level when he took the photo and then evaluate the expression.
Answer:
-19 + 8 - 18 = -29
he is 29 feet below sea level when he takes the photo
Step-by-step explanation:
1.How many semi-circles are there in a circle?
2.How many quadrants form a circle?
3.Which line touches a point on the circumference of the circle?
4.The line touching the inside circumference of the circle is called the _______.
5.The part of the circle enclosed by two radii inside the circle is known as the ______.
6.The distance around the circle is the ________.
7.Which is the longest chord in the circle?
8.The _______ is same as the perimeter of a rectangle.
Answer:
1. 2semicircle
2. 4 quadrant
3. tangent
4.chord
5.The region enclosed by two radii and an arc of a circle is called the sector of a circle.
6. The distance around the circle is called circumference.
7.Diameter is the longest chord of the circle..
8.The perimeter of sum of all the side lengths of a shape. is same
9/x + 2 = 20
WAHT IN THE WORLD? HOWWWW?!
Answer:
1/2 =x
Step-by-step explanation:
9/x + 2 = 20
Subtract 2 from each side
9/x + 2-2 = 20-2
9/x =18
Multiply each side by x
9/x *x = 18*x
9 = 18x
Divide each side by 18
9/18 = 18x/18
1/2 =x
Can some one help mẹ pls....
Answer:
h(2) or h(g(4)) = -28
Step-by-step explanation:
g(t) = t - 2,
g(4) = 4 - 2,
g(4) = 2
h(t) = -3t³ - 2t,
h(2) = -3(2)³ - 2(2),
h(2) = -24 - 4,
h(2) or h(g(4)) = -28
can someone help me with this question?
Answer:
128 grains.
I think so..
Step-by-step explanation:
SEE the image for solution.
HOPE it helps
Have a great day
Answer:
Step-by-step explanation:
[tex]u_1=1=2^0\\u_2=2=2^1\\u_3=4=2^2\\u_4=8=2^3\\\\...\\u_{64}=2^{63}\\\\we\ must\ calculate\\\\u_1+u_2+u_3+u_4+...+u_{64}\\\\=1+2^1+2^2+2^3+2^4+....+2^{63}\\\\=\dfrac{2^{64}-1}{2-1} \\\\=2^{64}-1\\\\=18446744073709551615\\\\=1.8446744073709551615*10^{19}[/tex]
I'm sorry to bother. I really can't understand this and my teacher isn't offering help after school today. Could someone help? I've already done 5-8
Answer:
Step-by-step explanation:
is this involved with the pythagorean angles?\
Last question pls help then i will give away al points pls help.
Answer: i give up typing essays ill just give it to you straight azure clicks per second is 8.5 or 17/2
bronze click per second is 9.5 38/4
crimsons time is 2.28 i guessed the closest and used a calulator good thing i learned this recently
clicks for desert is 34.9 or 35 not too clear but 34.9 is closer but you can choose i got this from guesing the division and i got 35/4.2 and 34.9/4.2
emeralds time is 0.40 3/.40 or 3/0.40
clicks for the last one or fuscia is 6 6/0.70 is well 8 gawd dammit you made me rite anotha essay
How many solutions does this equation have?
–3h = 1 − 3h
If I start at 6:05 and end at 3:30. How much time is that.
Isn’t is 2 hours and 25 minutes or 2 hours and 34 minutes?
Answer:
The answer is 9 hours and 25 minutes
Step-by-step explanation:
if it starts at 6:05 am and then ends at 3:30 pm then thats 9 hours in total and 25 minutes
hope that helps>3
area of square field is 617796cmsquare. find length of its each side.
Answer:
Answer is 786 cm
Step-by-step explanation:
√617796 =786
(4-xy)(5x-3y)-(x+y)(x-3y)
Answer:
20x-12y-5x²y+3xy²-x²+2xy+3y²
Step-by-step explanation:
(4-xy)(5x-3y)-(x+y)(x-3y)
20x-12y-5x²y+3xy²-(x+y)(x-3y)
20x-12y-5x²y+3xy²-x²+2xy+3y²
