Mathematics College
Answers
Answer 1
Explanation:
6. A Linear function can be written in the form of f(x) = mx + b
7. In the form of f(x) = mx + b, the y intercept is b
8. The graph x = c is a vertical line with x intercept (c,0)
9. The graph y = c is a horizontal line with y intercept (0, c)
10. To find x intercept, let the y = 0, and solve for x
Answer 2
Answer:
See below ~
Step-by-step explanation:
Solutions :
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6. A(n) linear function can be written in the form f(x) = mx + b.
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7. In the form f(x) = mx + b, the y-intercept is b.
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8. The graph of x = c is a vertical line with x-intercept (c, 0).
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9. The graph of y = c is a horizontal line with y-intercept (0, c).
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10. To find an x-intercept, let y = 0 and solve for x.
Related Questions
I need help with 1 and 2 please
Answers
Answer:
therefore 1. 100 square feet and 2. 270 square feet
Step-by-step explanation:
1. Area for trapezium is (a+b)/2 times height
[tex]\frac{a + b}{2} *h\\[/tex]
[tex]\frac{9 + 16}{2} * 8[/tex]
= 100
2. Area for kite is ab/2 where a and be are the perpendicular diagonals:
[tex]\frac{ab}{2}[/tex]
[tex]\frac{10 * 54}{2} = 270[/tex]
Enter a recursive rule for the geometric sequence -10, 20, -40, 30 ...
Answers
Answer:
[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]
Explanation:
geometric sequence: [tex]\sf a_n = a_{n-1} \ x \ r[/tex] where "r" is common ratio
[tex]\sf a_1 =a[/tex]
Find "r" = second term ÷ first term = 20 ÷ -10 = -2
Recursive rule:
[tex]\boxed{\sf t_n = r(t_{n-1})}[/tex]
[tex]\large\boxed{{\sf \left \{ {{t_1 = -10} \atop {t_n = -2t_{n-1}}} \right. }}[/tex]
Amelie rode her bike for 80 minutes. Amelie rode her bike 5 times as long as Raj. How long did Raj ride his bike?
Answers
Answer:
400 minutes
Step-by-step explanation:
Amelia speed = 80 minutes
raj = ?
80 ×5 =400
Identify the surface area of the composite figure to the nearest tenth. The figure shows a compound figure that consists of a cube and a right cylinder. The side of the cube is 5 meters long. The cylinder has a radius of 2 meters and a height of 3 meters. The cylinder is located on the top of the cube.
Answers
Answer:
187.7 m2
Step-by-step explanation:
your wecome
Which of the following are examples of rational numbers? Select all that apply.
Answers
3 Answers:
Choice A
Choice D
Choice E
=====================================================
Explanation:
The list of perfect squares is:
1, 4, 9, 16, 25, 36, 49, 64, 81, 100, ...
If we apply the square root to any of those numbers, then the number is rational.
For example, [tex]\sqrt{25} = 5 = \frac{5}{1}[/tex]
A rational number is any fraction of two integers, where zero is not in the denominator.
Based on this, we can see that choice A represents a rational number because we are summing rational numbers.
More specific proof is to write [tex]\sqrt{4} + \sqrt{16} = 2 + 4 = 6 = \frac{6}{1}[/tex] showing it is rational.
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Choice B is ruled out because [tex]\sqrt{5}[/tex] is irrational. We cannot write it as a fraction of two integers.
Choice C is ruled out for similar reasoning as choice B. This time [tex]\sqrt{24}[/tex] is irrational.
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Choice D is another answer because [tex]2*\sqrt{4} = 2*2 = 4 = \frac{4}{1}[/tex] is rational.
Choice E is another answer as well because [tex]\sqrt{49}*\sqrt{81} = 7*9 = 63 = \frac{63}{1}[/tex] is rational.
Choice F is ruled out because [tex]\sqrt{12}[/tex] is irrational, which in turn makes [tex]3\sqrt{12}[/tex] irrational as well.
Work out the difference between 25 and of 81 2/9
Answers
That is the differnce between the 2 numbers and it is in a negative because the second number was bigger than the first number so if you don't need the negative don't put it in your answer
-56.22 is the difference between 25 and [tex]81\frac{2}{9}[/tex]
What is Fraction?
A fraction represents a part of a whole.
A proper fraction has a numerator that is less than its denominator .
An improper fraction has a numerator greater than its denominator.
An improper fraction is always greater than one whole.
We need to find the difference between 25 and of [tex]81\frac{2}{9}[/tex]
Difference is nothing but subtraction. We need to subtract [tex]81\frac{2}{9}[/tex] from 25
25 - [tex]81\frac{2}{9}[/tex]
25-731/9
25×9-731/9
225-731/9
-506/9
=-56.22
Hence -56.22 is the difference between 25 and [tex]81\frac{2}{9}[/tex]
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Whats the Number of Units and Distance of feet to Mammoth to tempest??
Answers
16 units is the number of units but i’m not sure of distance because it doesn’t say how many units equals a feet.
I will give Brainliest, please help!! See the attached photo! ^^
You can’t use the same number twice!
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we are going to take one as numerator.and our denominator will be 8×9.But [tex] \frac{1}{ \infty } = 0[/tex]so does [tex] \frac{1}{8 \times 9} = 0 \times 0.139[/tex]
Simplify: -16b4 + (-18b4)
Answers
Answer:
-34b4
Step-by-step explanation:
Since the variables are the same b4, you just add the constants (-16 & -18).
PLS PLS HELP HELP ME ITS EASY ITS FREE PONTS LOL
Answers
Answer:
∠b = 53°
Explanation:
Complimentary angles are when two angles sum up to 90°
Here given:
∠a : 37°
∠b : missing angle
These angles sum up to 90 degree:
x + 37 = 90°
x = 90° - 37°
x = 53°
The angles of a triangle measure 50°, 62°, and x.
Find the value of x.
87 degrees
72 degrees
68 degrees
48 degrees
Answers
Answer:
(c) 68 degrees
Step-by-step explanation:
The sum of angles in a triangle is 180°.
50° +62° +x = 180°
x = 68° . . . . . . . . . . subtract 112° from both sides
In a packet of 40 Skittles, 12 are red. What percentage of the Skittles are red?
Answers
Answer:
12/40×100= 30%
Step-by-step explanation:
12/40×100 = 12/2×5 =6×5= 30%
8(7n-2) -6(7n+1)
Explain please
Answers
Answer:
8(7n - 2) - 6(7n + 1) = 14n - 22
Step-by-step explanation:
8(7n - 2) - 6(7n + 1)
use the distributive property: a(b + c) = ab + ac
= 8 · 7n + 8 · (-2) + (-6) · 7n + (-6) · 1
= 56n - 16 - 42n - 6
combine like terms
= (56n - 42n) + (-16 - 6)
= 14n - 22
Answer:
=> 14n - 22
Step-by-step explanation:
8(7n-2) -6(7n+1)
=> 56n - 16 - 42n -6
=> 14n - 22
There are 12 inches in foot and 3 in a yard .work out the number of inches in 7 yard
Answers
7 yards x 3 feet x 12 inches = 252 inches in 7 yards
Answer:
Step-by-step explanation:
Remark
If you learn how to do this, a part of science called dimensional analysis will come more easily to you. It looks like this.
7 yds [3 ft/yd] [12 in / ft] = 252 inches.
Notice how it works. In the first set of brackets, the yards cancel. You have 21 feet. In the second set of brackets, the feet cancel, and you are left with inches.
Proportions
If this does not appeal to you, you can do it the standard way.
1 yard / 3 feet = 7 yards / x (feet) Cross Multiply
1 yard * x = 7 yards * 3 feet. Divide by yards
1 yard * x / yard = 7 yards * 3 feet/yds The yards cancel
x = 21 feet
1 foot / 12 inches = 21 feet / x Cross Multiply
1 foot * x = 12 inches * 21 feet Divide by ft
1 foot *x / foot = 12 inches *21 ft/ft
x = 252 inches
Answer
252 inches
the rule is 1 1 1 2 what is the 87th number
Answers
the 87th number is 29
use the vertical line test to determine whether the graph is the graph of a function
Answers
Answer:
No the graph is not a function
Step-by-step explanation:
If you draw vertical lines onto the graph, multiple points will hit it.
Answer:
This graph is not a function
Step-by-step explanation:
The input x is used more than once
it is not a parabola
x^2-7x-34=10
Please help me answer this question thank you
Answers
Answer:
X can either be -4 or 11.
Step-by-step explanation:
[tex]x^{2} - 7x - 34 = 10\\\\Make this into a quadratic equation:\\\\x^{2} - 7x - 44 = 0\\ \\Find the factor pairs of -44 and their sums:\\-1,44 sum is 43\\ -2,22 sum is 20\\-4,11 sum is 7\\1, 44 sum is 45\\2, -22 sum is 20\\4, -11 sum is -7\\\\\\Find a sum that is equal to the coefficient of x which is -7 in this case. As we can see the pair 4, -11 corresponds to a sum of -7, therefore we can use this to factorise this quadratic equation and get two solutions:\\\\(x + 4) (x - 11) = 0\\[/tex]
If we set (x+4) to zero then x equals -4
If we set (x-11) to zero then x equals to 11.
So x can be -4 or 11.
Ralph bought some oranges. The weight of the oranges was 2.5 kilograms. How many grams is this?
Answers
Answer:
2500 grams
Step-by-step explanation:
convert 2.5 kilograms to grams by multiplying by 1000
= 2.5×1000= 2500grams
Find the surface area of the cube shown below.
units2
2/3
Answers
Answer:
8/3 units squared
Step-by-step explanation:
Surface area of Cube = 6(L^2)
6((2/3)*(2/3))
= 6(4/9)
= 24/9
= 8/3
Which expression is equivalent to 4 ( y + 2 ) − 3 y ?
A. ( 4 + 8 − 3 ) y
B. ( 4 − 3 ) y + 2
C. ( 4 + 2 − 3 ) y
D. ( 4 − 3 ) y + 8
Answers
Answer:
D
Step-by-step explanation:
the given expression is equivalent to (4-3)y+8
A company is tracking how many likes it receives for a new product they have posted online. So far they have received 499 likes on Day 1, on Day 2 they received 239 likes, 154 on Day 3, and 92 on Day 4. If they estimate each day's total to the nearest ten before finding the total, what is the total estimated likes over the four-day period?
Answers
A company is tracking how many likes it receives for a new product they have posted online. The total estimated likes over the four-day period is 580.
What is addition?
The addition is one of the mathematical operations. The addition of two numbers results in the total amount of the combined value.
A company is tracking how many likes it receives for a new product they have posted online.
So far they have received 499 likes on Day 1,
On Day 2 they received 239 likes,
154 on Day 3,
92 on Day 4.
If they estimate each day's total to the nearest ten.
Then it will become 100 likes on Day 1,
On Day 2 they received 240 likes,
150 on Day 3,
90 on Day 4.
The total estimated likes over the four-day period
= 100 + 240 +150 + 90
= 580
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For the two numbers listed, find two factors of the first number such that their product is the first number and their sum is the second number - 36,5
Answers
Answer:
The two factors of the first number are -4 and 9.
Step-by-step explanation:
We're given:
Two numbers have a product of -36The same two numbers have a sum of 5
Let the two numbers be a and b:
[tex]ab=-36[/tex][tex]a+b=5[/tex]
Solving for b
Isolate a in the second equation and solve for b:
[tex]a+b=5\\a=5-b[/tex]
[tex](5-b)b=-36\\5b-b^2=-36[/tex]
Arrange in [tex]ax^2+bx+c=0[/tex] format:
[tex]-b^2+5b+36=0[/tex]
Divide both sides by -1:
[tex]b^2-5b-36=0[/tex]
Factor:
[tex]b^2+4b-9b-36=0\\b(b+4)-9(b-4)=0\\(b-9)(b+4)=0[/tex]
Solve for b using the zero product property:
[tex]b=-4,9[/tex]
Solve for a
Substitute b back into the second equation to solve for a:
[tex]a+b=5[/tex]
First, let b = -4:
[tex]a-4=5\\a=9[/tex]
Let b = 9:
[tex]a+9=5\\a=-4[/tex]
Carlos buys 3 gallons of juice for a party. What is the greatest number of cups of
juice he can serve?
24 cups
16 cups
96 cups
48 cups
Answers
Answer:
48
Step-by-step explanation:
1 gallon=16 cups. So, 3x16=48 cups.
1
A blimp provides aerial television views of a tennis game. The television camera sights the stadium at a 9° angle of depression. The altitude of the blimp is 300m. What is the line-of-sight distance from the television camera to the base of the stadium? Round to the nearest hundred meters.
9 °
300 m
Answers
The line-of-sight distance from the television camera to the base of the stadium is 1918.16 meters
What is a right triangle?
A right triangle has one of its angles as 90 degrees.
Therefore, the angles and side can be found using trigonometric ratios.
Hence, the line-of-sight distance from the television camera to the base of the stadium is hypotenuse side of the right triangle formed.
sin 9° = opposite / hypotenuse
sin 9° = 300 / h
h = 300 / sin 9
h = 300 / 0.15643446504
h = 1918.15856777
h = 1918.16 meters
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Evaluate e0.2 to four decimal places
Answers
Answer:
grab
Step-by-step explanation:
hahahahaha
No link please……. Enter the value of b when the expression 30.4x + b is equivalent to 3.4 (6x-3.1)
Answers
Answer:
61
Step-by-step explanation
sped
Answer: b=−10x−10.54
Step-by-step explanation:
Let's solve for b.
30.4x+b=3.4(6x−3.1)
Step 1: Add -30.4x to both sides.
b+30.4x+−30.4x=20.4x−10.54+−30.4x
Answer: b=−10x−10.54
Examine the diagram.
Transversal n intersects lines l and m to form 8 angles. The angles formed with line l, clockwise from top left are 63 degrees, (15 x minus 3) degrees, blank, blank. The angles formed with line m, clockwise from top left are (8 x + 7) degrees, blank, 1, blank.
What is the m∠1?
the answer is 71
Answers
The measure of angle 1 is 71° ⇒ c
Step-by-step explanation:
Look to the attached figure:
∵ Line l intersect line n
∴ Angle 63° and angle (15x - 3) are linear pair
- The sum of the linear pair angles is 180°
∵ 63° + (15x - 3)° = 180°
- Add like terms
∴ 60 + 15x = 180
- Subtract 60 from both sides
∴ 15x = 120
- Divide both sides by 15
∴ x = 8
∵ Line m intersect line n
∴ Angle (8x + 7) and angle 1 are vertical opposite angles
- The vertical opposite angles are equal in measure
∴ m∠1 = 8x + 7
∵ x = 8
- Substitute the value of x to find m∠1
∴ m∠1 = 8(8) + 7
∴ m∠1 = 64 + 7
∴ m∠1 = 71
The measure of angle 1 is 71°
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Hello. Please help me answer this.
Answers
Answer:
The area of the shape is 49.
Step-by-step explanation:
The shape is a trapizoid, so we use the formula: I've attached an image below.
H stands for height, the height is 7. b1 is 3 (the first base length) and b2 is 11 (the second base length.)
Now, we plug it into the formula.
A=1/2(7)(3+11)
A= 49.
Hope this helps. :)
A grain silo has a cylindrical shape. Its radius is7.5ft , and its height is44ft . What is the volume of the silo?
Answers
Answer:
[tex]7776.45ft {}^{3} [/tex]
Step-by-step explanation:
[tex]volume \: of \: a \: cylinder = \pi \: r {}^{2} h \\ v = \pi \: \times (7.5) {}^{2} \times 44 = 3.142 \times 7.5 \times 7.5 \times 44 \\ v = 7776.45ft { {}^{} }^{3} [/tex]
Answer:
7775.4 ft^3
Step-by-step explanation:
Volume of cylinder = pi r^2 * h
= pi (7.5)^2 * 44 = 7775.4 ft^3
E. Solve the Inequality
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[tex]\blue{\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]
Solve the Inequality.
[tex]\blue{\textsf{\textbf{\underline{\underline{Answer:-}}}}[/tex]
x<-4
[tex]\blue{\textsf{\textbf{\underline{\underline{How\:to\:Solve:-}}}}[/tex]
First, add 6x on both sides:
-2x+3+6x<-13
Add the x's:
4x+3<-13
Now, subtract 3 on both sides:
4x<-13-3
4x<-16
Divide by 4 on both sides:
x<-4
So the values of x that are less than -4 will make the given inequality true.
Good luck.
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