Which expression is equivalent to 2.8n – 8.4?
Answer:
4.1n
Step-by-step explanation:
Given the equation n – 4.6n – 3.3n + 2.8n , to get its equivalent expression, the following steps must be followed;
Step 1:
Factor out the common variable n
n(1 – 4.6 – 3.3 + 2.8)
Step 2:
Carry out the operation in parentheses;
= n(1+2.8-4.6-3.3)
= n(3.8-4.6-3.3)
= n(3.8-3.3-4.6)
= n(0.5-4.6)
= n(-4.1)
= -4.1n
The equivalent expression is -4.1n
What is the length of the hypotenuse of the triangle?
Answer:
Step-by-step explanation:
The hypotenuse has different lengths. It’s always c2 and the longest triangle length of all the triangle.
What are the zeros of the function
f(x)=x^2-7x−30
Answer:
x = 10 , -3Step-by-step explanation:
x² - 7x - 30 = 0
x² + 3x - 10x - 30 = 0
x ( x + 3 ) - 10 ( x + 3 ) = 0
( x - 10 ) ( x + 3 )
x = 10 , -3
Answer:
-3 and 10
Step-by-step explanation:
[tex]f(x)=x^2-7x-30[/tex]
1) Factor the equation
First, find two factors of -30 which has a sum of -7.
⇒ These two factors are 3 and -10.
Then, write the equation as a product of two binomials.
[tex]f(x)=(x+3)(x-10)[/tex]
2) Find the zeros
The zero product property states that any value, when multiplied by 0 will equal 0. Therefore, in this equation, either x+3 or x-10 must equal 0 for the function to equal 0:
x+3=0
x=-3
or
x-10=0
x=10
Therefore, the zeros of the function are -3 and 10.
I hope this helps!
Pets In a group of 150 people, each person has Complete the table.
a dog, a cat, or a bird. The frequency table
shows how many people have each kind of pet. Total Relative Frequency
Complete a relative frequency table to show the
Table
distribution of the data with respect to all
Pets Men Women Total
150 people.
% % %
Cat % % %
Frequency Table
Pets Men Women Total
Bird % % %
Dog 30 38 68
Total % % 100%
Cat 30 19 49
(Round to the nearest tenth as needed.)
Bird 17 16 33
Total 77 73 150
Explanation is in the file
tinyurl.com/wpazsebu
The sum of the real numbers x and y is 11. Their differences is 5. What is the value of xy
PLS HELP. If the spinner shown below was used 100 times, how many times can you expect to spin a number greater than 3?
3
60
2
40
Answer:
60 times
Step-by-step explanation:
Which statements are true of irrational numbers
CLICK ALL THE APPLY:) Will mark b if correct!!!!!!!!!!!!!!!!!!!!!!!
im confused on this one
Write the equation in standard form of a line that is parallel to the graph of 2x + y = 5 and whose y - intercept is (0,4).
The line that is parallel to this line will have the same slope of this line, as the two will never intersect. They will run side by side. The line y = 2x - 5 is written in slope-intercept form, which is y = mx + b. The value of m represents the slope, and in this equation m = 2. Therefore, the line we are looking for will have a slope of 2 also.
That line should also be in slope-intercept form. We now know the value of m, but we also know the value of x and y. The ordered pair (8, 10) is a point on the line, and every ordered pair is in the form (x, y). Therefore, x = 8 and y = 10. We can plug those values into y = mx + b, along with m = 2. That gives us:
10 = 2(8) + b We need to solve for b.
10 = 16 + b
b = -6
Help ASAP I need to get this question correct
Answer: The answer is NO
Step-by-step explanation:
a + 7a+3ab-2ab-1+6 Simplify
Answer:
8a + ab + 5
Step-by-step explanation:
1. a + 7a+3ab-2ab-1+6
2. combine like terms
(a + 7a) + (3ab - 2ab) + (-1+6)
8a + ab + 5
Answer:
8a + ab + 5
Step-by-step explanation:
combine like terms. like term have same variables
a and 7a ; 3ab and (-2ab) ; (-1) and 6 are like terms
a + 7a + 3ab - 2ab - 1 + 6 = 8a + ab + 5
Given the two equations:
y + x = 5
-2x = -1
0) Draw the graphs of both equations on the same pair of axes by using a scale of 1cm to
represent 1 unit on both axes.
Use your graph to determine the point of intersection.
Answer:
Step-by-step explanation:
I can draw graphs on the application
eq1) is a line through y = 5 with a negative slope of -1 y = -x + 5
eq2) is a vertical line at x = 1/2 NO y intercept or slope
-2x = -1 ---> x = -1/-2 = 1/2
They intersect at
y = -x + 5 and x = 1/2 Substitute x=1/2 into
y = -1/2 + 5
y = 4.5
intersect at (1/2, 4.5)
Help D: !
Evaluate the expression of the given value of x.
a. 2 + x^3, x is 3.
b. x^2, x is 1/2
c. 3x^2, x is 5
d. 100 - x^2, x is 6
Answer:
Step-by-step explanation:
Determine the y intercept (8grade
Answer:
its 4
Step-by-step explanation:
The rectangle below has an area of 70 square meters. Find the dimensions of the rectangle. (x - 11) (x - 8)
Answer:
the dimensions of the rectangle are 10 and 7.
Step-by-step explanation:
Given;
area of the rectangle, A = 70 m²
dimensions of the rectangle, = x - 11 and x - 8
The area of rectangle is calculated as;
A = L x B
70 = (x - 11)(x - 8)
70 = x² - 8x - 11x + 88
0 = x² - 8x - 11x + 88 - 70
0 = x² - 19x + 18
0 = x² - x - 18x + 18
0 = x(x - 1) -18(x - 1)
0 = (x - 18)(x - 1)
0 = x - 18 or
0 = x - 1
x = 18 or 1
The dimensions of the rectangle are calculated as;
L = 18 - 11 = 7
B = 18 - 8 = 10
Therefore, the dimensions of the rectangle are 10 and 7.
Given f(x)=3(x-1)(x-7) what is the minimum output value of the function
Answer:
-27
Step-by-step explanation:
f(x) = 3(x-1)(x-7)
= (3x-3)(x-7)
= 3x^2 - 24x + 21
when f(x) = 0, x = 7 or 1
x-intercept of vertix of the graph = (7+1 )/ 2 = 4
f(x) attains it's minimum when x = 4
The minimum output value = 3(4-1)(4-7) = -27
Brainliest for correct answer
Answer:
a =b
b=d
Step-by-step explanation:
alt angle
corresponding angle
I need help with all my 7 questions can someone help me with the first one ?
Answer:
x = 53
Step-by-step explanation:
x = 53 (Vertically Opposite Angles)
Which points make the equation below true?
y = 43x + 5
a. (1 , 7)
b. (6 , 13)
c. (21 , 33)
d. (99 , 137)
Answer:
b,c,d
Step-by-step explanation:
if its 43x, none of the point is true.
if its 4/3x:
a. Not true 4/3(1) + 5 = 6 1/3
b. True 4/3(6) + 5 = 13
c. True 4/3(21) + 5 = 33
d. True 4/3(99) + 5 = 137
A countrys population in 1990 was 145 million. In 1998 it was 151 million. Estimate the population in 2015 using the exponential growth formula. Round your answer to the nearest million
Answer:
The population in 2015 will be 165 million.
Step-by-step explanation:
The exponential growth formula is given by:
[tex] f(t) = a(1 + r)^{\Delta t} [/tex]
Where:
a: is the initial population
r: is the rate of increase
Δt: is the time
With the initial information we can find the rate:
[tex] 151 = 145(1 + r)^{1998-1990} [/tex]
Using logarithm:
[tex] ln(151) = ln(145) + 8[ln(1 + r)] [/tex]
[tex] ln(1 + r) = \frac{ln(151) - ln(145)}{8} [/tex]
[tex] ln(1 + r) = 5.0683 \cdot 10^{-3} [/tex]
Using exponential:
[tex] e^{ln(1 + r)} = e^{5.0683 \cdot 10^{-3}} [/tex]
[tex] r = 5.081 \cdot 10^{-3} [/tex]
Now, we can find the estimated population in 2015:
[tex] f(t) = 151(1 + 5.081 \cdot 10^{-3})^{2015-1998} [/tex]
[tex] f(t) = 165 [/tex]
Therefore, the population in 2015 will be 165 million.
I hope it helps you!
20x - 16y + 32 plz help
Answer:
4(5x−4y+8)
Step-by-step explanation:
20x−16y+32
Factor out 4.
4(5x−4y+8)
what is the distance between the points (-5,-4) and (3,-3).
Distance=√[{3-(-5)}²+{-3-(-4)}²]=√[{8}²+{1}²]=√[64+1]=√65
Distance=√65=8.06 (approx)
Will spent $40 at the fair. It cost $20 to get in the fair and $0.50 per ticket to ride the rides. How many tickets did Will buy? A. 40 B. 20 C. 120 D. 30
Answer:
B.20
Step-by-step explanation:
WILL MARK BRAINLIEST!!!
Answer:
The last one.
Step-by-step explanation:
If you can't see or there's something you don't understand you can ask:) Good luck and I hope it helps.
a positive number of two digits the ten place exced.the unit place digit by 5 .if the producted digit is 46. find the number
I uploaded the answer to a file hosting. Here's link:
tinyurl.com/wpazsebu
Трикутна піраміда побудована з 10 однакових кульок так,
Як показано на малюнку 1. На кожній кульці написана
одна з букв A, B, C, D чи Е і кожна буква написана на двох
кульках. На малюнку 2 зображено вигляд цієї піраміди з
трьох різних боків. Яка буква на кульці зі знаком питання?
Answer:
Sorry I don't know this language
Select ALL rational numbers below.
Answer:
27/sqrt9, 4^2 are the rational numbers
Step-by-step explanation:
All the other ones do not terminate, so this leaves these as the answers.
hope this helps!
Can any of you guys help my cousin with her homework its very confusing to me I'm not very good at math so please help her she gotta have everything turned in by Friday!!
Please answer this quickly
Answer:
Polymomial with 4 terms i believe
Which equation is not an example of a direct variation
Y=-7x-1
Y=5/16x
Y=4x
Y=-9