lesson 5 practice problems
Answer:
Step-by-step explanation:
ok ill help but can soke one help me too
the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works. which answer is the best interpretation of the number 11 in the equation
Answer: 11 represents the extra amount of money he gets.
Step-by-step explanation: I say this because for example, the 11 can represent how much money he gets for being present at work. 11 could also represent the extra money he earns.
The best interpretation of the number 11 in the equation is that 11 represents the extra amount of money he gets.
What is an Equation?Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation.
Given data the amount of money M , in dollars, Paul earns can be represented by the equation M=12.5h+11, where h is the number of hours paul works.
Now , M=12.5h+11,
On comparing with striaght line equation we can say that the slope is 12.5
So, number 11 in the equation represents the extra amount of money he gets for being present at work.
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For a new neighborhood, 100 acres of land will be split into 10 lots.How many acres of land will each lot have?
10
Step-by-step explanation:
I think it's 10 my bad if I'm wrong
HELPPP 20 PNTS---- CHOOSE THE WRITE ANSWER!!!!
Answer:
B. is correct answer I think so
Step-by-step explanation:
i need help please
plz mark me as brilliant
when a number is decreased by 3% the result is 80. what was the original number?
Answer:
82.47
Step-by-step explanation:
.93n = 80
n = 80/.93
n = 82.47
How to solve math equation
A triangle has sides represented by 9, x, and x + 2. If the
perimeter is 35, find the length of the longest side.
Answer:
14.
Step-by-step explanation:
1) if the sides of the given triangle are 'a'=9, 'b'=x and 'c'=x+2, then its perimeter can be written as: P=a+b+c or P=9+x+x+2;
2) if according to the condition P=35, then 9+x+x+2=35;
2x=24; ⇒ x=12;
3) if x=12, then a=9; b=12 and 14;
4) finally, c=14 - the required longest side.
Under stand place value
Answer:
What do you need help with?
Step-by-step explanation:
I'm confused because you didn't include a question.
can someone help me with this
[tex]\dfrac{2x-3}x = \dfrac{14}{x+5}\\\\\implies (2x-3)(x+5) = 14x\\\\\implies 2x^2 +10x -3x -15 -14x=0\\\\\implies 2x^2-7x-15=0\\\\\text{Apply quadratic formula,}~~x= \dfrac{-b \pm \sqrt{b^2-4ac}}{2a}.\\\\\text{In this case,}~ a=2, b=-7~ \text{and}~ c = -15. \\\\\\x = \dfrac{-(-7) \pm \sqrt{(-7)^2 -4\cdot 2 \cdot (-15)}}{2(2)}\\\\\\\implies x = \dfrac{7 \pm \sqrt{169}}{4}\\\\\\\implies x = \dfrac{7 \pm 13}4\\\\\\[/tex]
[tex]\text{Hence} ~x = \dfrac{7+13}{4} = \dfrac{20}4 = 5 ~\text{or}~ x = \dfrac{7-13}4 = -\dfrac{6}4 = -\dfrac 32[/tex]
Casey, Lawrence, and Zach form a team to compete in a bicycle relay race. Casey bikes
of the relay race, Lawrence bikes of the relay race, and Zach bikes the remaining
part of the race. Zach claims he biked the largest portion of the race.
Is Zach correct or incorrect, and why?
Answer:
he is incorrect
Step-by-step explanation:
it's wrong because it doesn't make sense
Vincent saves $8 each week. How much does he save in a year?
$56
$60
$416
$2960
Answer:
$416
Step-by-step explanation:
weeks in a year is 52 weeks
52×8=416$
Help help hep math math
[tex]300 {ft}^{2} [/tex]
Step-by-step explanation:
d=20
r=10
π=3
[tex]a = \pi{r}^{2} [/tex]
[tex]a = (3) {(10)}^{2} [/tex]
[tex]a = 300[/tex]
Answer:
A = 300 ft^2
Step-by-step explanation:
First we need to find the radius
r = 1/2 d
The diameter is 20
r = 1/2(20) = 10
A =pi r^2
We are using 3 for pi
A = 3( 10)^2
A = 3 * 100
A = 300 ft^2
Someone please help me on both the questions!!!
Step-by-step explanation:
al nth term:
numerator:
[tex] = {n}^{2} [/tex]
denominator:
[tex] = n + 1[/tex]
so nth term :
[tex] = \frac{ {n}^{2} }{n + 1} [/tex]
b). 1; 11; 27; 49
first difference: 10; 16; 22
second difference :6
formula for 1st difference:3a+b
formula for 2nd difference:2a
Therefore:
2a=6
a=3
3a+b=10
sub in a
3(3)+b=10
9+b=10
b=1
sub into quadratic formula
[tex] {an}^{2} + bn + c[/tex]
[tex](3) {(1)}^{2} + (1)(1) + c = 1[/tex]
[tex]3(1) + 1 + c = 1[/tex]
[tex]3 + 1 + c = 1[/tex]
[tex]4 + c = 1[/tex]
[tex]c = - 3[/tex]
So Tn:
[tex]3 {n }^{2} + 1n - 3[/tex]
Step-by-step explanation:
a)
it is clearly a sequence of the square numbers over the numbers+1.
1/2 = 1²/(1+1)
4/3 = 2²/(2+1)
9/4 = 3²/(3+1)
16/5 = 4²/(4+1)
so, the nth term would be
n²/(n+1)
b)
an² + bn + c creates the sequence with increasing n (n = 1, 2, 3, 4, ...)
since for sequence the first starting value is often not generated by the general expression, we have to focus on n = 2, n = 3 and n = 4, and with that we get 3 equations with 3 variables (a, b, c) that we can solve :
n = 2
a×2² + b×2 + c = 11 = 4a + 2b + c
n = 3
a×3² + b×3 + c = 27 = 9a + 3b + c
n = 4
a×4² + b×4 + c = 49 = 16a + 4b + c
the first equation gives us
c = 11 - 4a - 2b
when we use this in the second equation, we get
27 = 9a + 3b + 11 - 4a - 2b = 5a + b + 11
b = 16 - 5a
now we use both of that in the third equation :
49 = 16a +4(16 - 5a) + 11 - 4a - 2(16 - 5a) =
= 16a + 64 - 20a + 11 - 4a - 32 + 10a =
= 2a + 43
2a = 6
a = 3
b = 16 - 5a = 16 - 5×3 = 16 - 15 = 1
c = 11 - 4a - 2b = 11 - 4×3 - 2×1 = 11 - 12 - 2 = -3
Helpppppppnmeeeeeeee plsss I will give you brainliest
Answer:
5) Slope is 6/5
6) Slope is -3
7) Slope is 2/5
8) Slope is 2
Step-by-step explanation:
You're welcome :D
Given f(x) = 3x^2 + 2x – 1 and g(x) = 4x-5 find ( g of f) (-2)
Answer:
23
Step-by-step explanation:
Evaluate f(- 2) then substitute the value obtained into g(x)
f(- 2) = 3(- 2)² + 2(- 2) - 1 = 3(4) - 4 - 1 = 12 - 5 = 7 , then
g(7) = 4(7) - 5 = 28 - 5 = 23
[tex]\text{Given that,}\\\\f(x) = 3x^2 +2x -1\\\\f(-2)=3(-2)^2 +2(-2) -1 = 12-4-1=7\\\\g(x) = 4x -5\\\\\text{Now,}\\\\(g \circ f) (-2)\\\\=g(f(-2))\\\\=g(7)\\\\=4(7)-5\\\\=28-5\\\\=23[/tex]
5n + 2m+4n
30m 30m
Simplify Each Expression
Answer:
5n+2m+3600nm^2
Step-by-step explanation:
Lee's Leather Store marked down leather jackets 10 percent. What is the sale price of a
leather jacket regularly priced at $130?
O $103
O $113
O $123
O $117
I willl mark brainiest plz answer send right answer get points
Answer: Option D
Step-by-step explanation:
Soup : 15/5 is 3 x 7 is 21
Peanut: 35/7 is 5 x 5 is 25
In absolute value equations when it equals to a negative number in the beginning do I make it positive in the positive case?
Answer: x can equal a negative number
Step-by-step explanation: it only exists on the side of the equation with the absolute value not the side that doesn’t If you want help with graphing I can do that too! Hope this helps
The set of ordered pairs shown below defines a relation. (MAFS.912.F-IF.2.4){(0, 0), (1, 5), (2, 8), (3, 9), (4, 8), (5, 5), (6, 0)}What is the value of the greatest element in the range of this relation?
Using the range concept, it is found that the greatest element in the range of this relation is 9.
The range of a data-set is the set that contains all possible outputs.The data-set has the format (x,y), in which the values of y are the outputs.Hence, the range is: {0, 5, 8, 9}.
From the given range, the greatest element is 9.For more on range of data-sets, you can check https://brainly.com/question/10891721
Please help!!! No LINKS
Solve the system of equations below by graphing both equations with a paper and pencil!!! What is the solution?!??! Use the photo below to answer the question!!
Answer:
B is the answer
Step-by-step explanation:
What type of number is 12/3?
Choose all answers that apply:
A) Whole number
B) Integer
C) Rational
D) Irrational
Pls help it’s for a test
Answer: All except Irrational
Step-by-step explanation:
12/3 = 4, 4 is an integer, a whole number, and it is rational.
Plz help (MATH)...................
Answer:
2.8 pounds
Step-by-step explanation: For this one, I rounded the answer, but what you need to do is divide 20 by 7.
20/7 = 2.85714285714
2.85714285714 ≈ 2.8 pounds
what number is 100`000 more than seven hundred two thousand eight three
Answer:
802,083
Step-by-step explanation:
50 Point Question Answer ASAP giving brainliest
Answer:
the reminder is 5 and the quotient is 2x+4
how to calculate $15 with a 40% off
Answer:
15 x 0.40=6
so subtract 6 from 15, and you have $9.
Hope this helps!
Answer:
$9 is correct
Step-by-step explanation:
$15 x 60% is $9
to find 60% you use 100%-40% equals 60%
does this make sense?
34. Find the average rate of change for x 0.5 to 35 for the following temperatures in degrees Fahrenheit
recorded beginning at noon. Also interpret the meaning of x = 3.5.
The average rate of change between the interval x = 0.5 to x = 3.5 is: 5.
x = 3.5 represents 3.5 hours after noon.
How to Find Average Rate of Change Over an IntervalGiven an interval of x = a to x = b, the average rate of change over the given interval of a function can be calculated using the formula below:
[tex]\frac{f(b) - f(a)}{b - a}[/tex]
Given table representing the function as shown in the image attached below, let's determine the average rate of change for x = 0.5 to x = 3.5.
a = 0.5
f(a) = 47 (from the table, when x = 0.5, y = 47)
b = 3.5
f(b) = 62 (from the table, when x = 3.5, y = 62)
Plug the values into [tex]\frac{f(b) - f(a)}{b - a}[/tex]
Average rate of change = [tex]\frac{62 - 47}{3.5 - 0.5} = \frac{15}{3} = 5[/tex]
Average rate of change = 5
x = 3.5 represents 3.5 hours after noon.
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Nisha measures the temperature at 12 noon each day.
She records her results on a graph.
Playground Temperature in January
Temperature in degrees
Monday= 2
Tuesday= 6
Wednesday= -3
Thursday= -2
Friday= 1
Nisha says the difference between the coldest and warmest
temperature is 2°C.
Is she correct and why?
Answer:
no, because the highest temperature was 6 and the lowest was -2. that's an 8 degree difference
Help!! Ill give 100 points!
It is the 3rd one from the top
Answer:
I believe the answer would be C.
Step-by-step explanation:
First of all, the solution to the answer really is 1/20. If you figure out the decimal form of 4/5, it is 0.80, which is closer to 1 than to 1/2 and 0. The decimal form of 3/4 is 0.75, which is equally close to 1 and 1/2, being 0.25 from both. But it is closer to 1 than 0. I hope I’m right, and I hope this helps. :)
factorize 4y^2 - 2^2?
Answer: 4(y+1)(y-1)
Step-by-step explanation: