Answer:
D) 39
Step-by-step explanation:
There are a couple of steps to this. First, note that you must plug in the given number that replaces x into the right side's x. After you find the answers, you must then subtract both answers to get your result.
First step, find g(8):
g(x) = 3x - 2
When x = 8,
g(8) = 3(8) - 2
Remember to follow PEMDAS, the order of operations. First, multiply, then subtract:
g(8) = (3 * 8) - 2
g(8) = (24) - 2
g(8) = 22
Next step, find g(-5):
g(x) = 3x - 2
g(-5) = 3(-5) - 2
g(-5) = (3 * -5) - 2
g(-5) = (-15) - 2
g(-5) = -17
Note that you are subtracting both numbers. When there are two negative signs directly next to each other, it becomes a positive:
22 - (-17) = 22 + 17 = 39
D) 39 is your answer.
~
The sum of two numbers is 110.The larger number is 2 less than 7 times the smaller.Find the Large number
Answer:
The larger number is 96.
Step-by-step explanation:
[tex]let \: the \: two \: numbers \: be \: a \: and \: b \\ a + b = 110 \\ let \: a \: be \: the \: larger \: number \\ a = 7b - 2 \\ we \: can \: get \: the \: value \: of \: b \: by \: substituting \: the \: value \: above \: for \: a \: in \: eq \: 1 \\ 7b - 2 + b = 110 \\ 8b - 2 = 110 \\ 8b = 110 + 2 \\ 8b = 112 \\ b = \frac{112}{8} \\b = 14\\ calculate \:the \: value \: of \: a \: using \: the \: equation \: above \\ a + b = 110 \\ a = 110 - 14 \\ a = 96 \\ hence \: the \: large \: number \: is \: 96[/tex]
(x^2+3x+1)(x^2-2x+5)
Answer:
x^4 + x^3 + 13x + 5
Step-by-step explanation:
Is 4 16/18 simplified and what is the simplified version
Answer:
no
4 16/18 = 88
88 simplified is 44/9 ?
A high school teacher teaches three classes per day. Her first class has double the number of students as her
second class, while her third class has 5 more students than her second class. In total, she teaches 65 students.
The equation 2x + x + (x + 5) = 65 represents this scenario, where x is the number of students in her
second class.
How many students are in her second class?
Answer: 15 students in her second class.
Step-by-step explanation:
Let A, B, and C stand for the number of students in each class. See the attached table.
The column labelled "Students" is formed by assinging B to the second class and finding how the other two classes relate to B. Class A has twice as many students as class B, so A = 2B. Class C has 5 more students than B, so C = B+5.
The total students amount to 65, whcih is the sum of A, B, and C:
A + B + C = 65
Substitute the values of A and C into this equation:
A + B + C = 65
2B + B + (B+5) = 65
4B + 5 = 65
4B = 60
B = 16
Use B=16 and solve for the other two classes (dotted blue line).
The 66-mm-diameter solid shaft is made of 2014-t6 aluminum and is subjected to the distributed and concentrated torsional loadings shown where t=1. 7 kn⋅m.
Answer:
bbc
Step-by-step explanation:
Simplify the following expression: (1 point)
2x − 6y + 3x2 + 7y − 14x
3x2 + 12x + y
3x2 − 12x − y
3x2 − 12x + y
3x2 − 12x − 13y
Answer:
[tex]⟼3x {}^{2} + 12 + y[/tex]
Step-by-step explanation:
[tex]Here,2x − 6y + 3x {}^{2} + 7y − 14x [/tex]
[tex] = 3x {}^{2} + 2x - 14x - 6y + 7y[/tex]
[tex] = 3x {}^{2} - 12x - 6y + 7y[/tex]
[tex] = 3x {}^{2} - 12x + y[/tex]
Hello there!
Combine Like Terms:
2x-6y+3x^2+7y-14x
-12x+y+3x^2
3x^2-12x+y
Hope this helps. you!
~Just a determined gal
#CarryOnLearning
Please mark brainliest; I would really appreciate that! :)
[tex]MysteriousNature :)[/tex]
if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75
Answer:
$1.75Step-by-step explanation:
if a wire of length 2 meters costs $10. find the cost of a wire of length 35cm $1.75
2m = 200 cm
200 : 10 = 35 : x
x = 10 * 35 : 200
x = 1.75
PLEASE HELP!!!
what is the value of the expression 2/5m−1/3 when m = 3?
Answer:
13/15
Step-by-step explanation:
I took the quiz and solved it out. I would give further explaination but it is kinda hard to do that in text form. Have a nice day!
The value of the expression if m = 3 is 13/15
Given the expression as shown below:
2/5 m - 1/3If the value of m = 3, hence the expression will become;
2/5(3) - 1/3
6/5 - 1/3
Find the LCM
6/5 - 1/3 = 3(6)-5/15\
6/5 - 1/3 = 18-5/15
6/5 - 1/3 = 13/15
Hence the value of the expression if m = 3 is 13/15
Learn more on equations here: https://brainly.com/question/13763238
the graph shown below expresses a radical function that can be written in the form f(x)=a(x+k)^1/n+c. what does the graph tell you about the value of c in this function?
Answer:
c = 2.
Step-by-step explanation:
When the first part of the function has the value 0, f(x) will also be 0 if the c wasn't there.
So the value of c is 2.
From the given graph n is a positive odd number.
What is the exponential function?Exponential function, as its name suggests, involves exponents. But note that, an exponential function has a constant as its base and a variable as its exponent but not the other way round (if a function has a variable as the base and a constant as the exponent then it is a power function but not an exponential function).
From the graph,
All the values of the graph are positive values (even for the negative values of x), but in the left side we can see that the function decreases and is different than the right side.
So this is not an even function, then n must be an odd number (n odd allows us to have negative values for y = f(x) that happen when x + k is negative).
Also, we can see that the function increases, if n was a negative number, like: n = -N
We would have: [tex]f(x)=\frac{a}{(x+k)^{\frac{1}{N} }} +c[/tex]
So in this case x is in the denominator, so as x increases, we would see that the value of y decreases, but that does not happen, so we can conclude that the value of n must be positive.
Then n is a positive odd number.
Therefore, n is a positive odd number.
Learn more about the exponential function here:
brainly.com/question/11487261.
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n is an integer greater than 1
Prove algebraically that 10+ n^2 - (n - 2)^2 is always an even number.
Your final line must have, 'always even' as part of the line.
Answer:
Proof below.
Step-by-step explanation:
Let f(n)=10+ n^2 - (n - 2)^2.
We want to prove f is even for integer n > or = 1.
Let's show f is even for the base case, n=1.
f(1)=10+1^2-(1-2)^2
f(1)=10+1-(-1)^2
f(1)=11-(1)
f(1)=10
f(1) is even.
Let's assume the for some integer k > or = 1 , we have f(k) is even. This means there is some integer m so that f(k)=2m.
Note: f(k)=10+ k^2 - (k - 2)^2.
We want to show f(k+1) is even.
f(k+1)=10+ (k+1)^2 - ([k+1] - 2)^2
f(k+1)=10+ (k+1)^2 - (k-1)^2
f(k+1)=10+ ((k+1)^2 - (k-1)^2)
That difference is a difference of squares. Let's try factoring it.
f(k+1)=10+ (k+1-[k-1])(k+1+[k-1])
f(k+1)=10+ (2)(2k)
Multiply:
f(k+1)=10+4k
Turns out we didn't even need to use our induction hypothesis since 10+4k is 2(5+2k) which makes f(k+1) even given the factor of 2 present.
This proves for all integers n>=1 that f(n) is even.
We could have this without induction then. Let's do that here below this line.
-------------------
10+ n^2 - (n - 2)^2
10+[n^2 - (n - 2)^2]
Factor difference of squares:
10+(n-(n-2))(n+(n-2))
Simplify:
10+(2)(2n-2)
Factor:
2[5+(2n-2)]
Because of the factor of 2, the given expression is always even for integer n.
I really need help asap please!
Answer:
49
Step-by-step explanation:
the line joined by midpoints of sides is called midsection
which is parallel to the third side and is half its length
so (5x - 26) * 2 = 9x - 37
10x - 52 = 9x - 37
x = 52 - 37
x = 15
so PQ is 5x - 26
= 5*15 - 26
= 75 - 26
= 49
what is
-0.35 - (-0.25)??
Answer:
Please mark brainliest <3
Step-by-step explanation:
test ill give brainlist
Subtract.
7/8−4/8
Step-by-step explanation:
7/8 - 4/8.....find the common denominator
(7-4)/8 .....the common denominator is 8
3/8
hope this helps
Find the equation of the line that passes through (-1,2) and is perpendicular to
y
=
1
−
2
x
.
Leave your answer in the form
y
=
m
x
+
c
Answer:
is the line are perpendicular then the product of there slope is -1
the slope of the first equation is 2
Step-by-step explanation:
m1+m2=-1
2+m2=-1
m2=-1-2
m2=-3
so the second equation became y=-3x+C
then insert the point (-1,2)
2=-3*-1+C
2=3+C
C=2-3
C=-1
so y=-3x-1
Hope that helps
I need help with this and thought if any of you guys can help
Answer:
not enough info .
Step-by-step explanation:
sorry it needs more info
Find the distance between the two points in simplest radical form. Please help! <3
Answer: on the bottom is (-6,5) and on the top is (1,7)
Step-by-step explanation:
A mailman earned $832 a week last year. What was his yearly salary?
Answer:
$43,264
Step-by-step explanation:
theres 52 weeks in a year so you just do $832 x 52
I NEED HELP WITH QUESTION 2 ONLY (GIVING BRAINIEST) 50 points
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
Follow the steps to find out.
1. Rewrite the equation 5(x – 3) = x + 13 with 6 substituted for x. Write a question mark over the equal sign to show that you're testing to see if the equation is true. ANSWER: 6 (incorrect solution)
Steps:
Calculation: 5(6 - 3) = 6 + 13
Multiplication: 5 x 3 = 19
Checking the equality: 15 + 19
So there for the solution is not 6
2. Simplify both sides. Show your work.
3. Is x = 6 a solution to the equation? Why or why not? ANSWER: 6 is not the solution
Solving for x:
5(x – 3) = x + 13
5x - 15 = x + 13
5x - x = 13 + 15
4x = 28
x = 28/4
x = 7
Answer:
5x-15=x+13
Step-by-step explanation:
I don't know which equation you want me to simplify, so I assume it is, 5(x – 3) = x + 13?
what is the correct answer?!!
aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa
10) On a football team, there are 14 offensive players and 16 defensive players. If there are
35 offensive players on the team, how many defensive players would there be?
Answer:
well its 7/8
7 5x 35 so
8 5x 40
40 deffensive players would be there
Trust Officer Megan is the trust officer for an estate. If she
invests $15,000 into an account that carries an interest rate
of 8% compounded monthly, how long will it be until the
account has a value of $45,000 for Megan's client?
a
Answer:
????????
Step-by-step explanation:
i don't know if I can help with the subject line
write 0.0000006234 in scientific notation
Answer:
6.234 × 10-7
Step-by-step explanation:
Answer:
6.234 x 10^-7
Step-by-step explanation:
When writing the number in standard form you have to look at the decimal point. If you already have a decimal point (like the question) then look for the first non-zero digit (in terms of the question, its 6). You have to move the decimal point to right until its after the first non-zero digit. Count how many spaces you moved, in this case its 7. If you are moving to the left you have to put a negative sign when writing the power of 10.
Hope this helps!!
Which general rule should you follow as you collect variable terms on one side of an equation?
Answer:
You should always Use addition or subtraction to separate the variable on one side of a equation.
Step-by-step explanation:
Find the 75th term of the following arithmetic sequence.
2, 8, 14, 20,
..
Answer:
The 75th term is 446
Step-by-step explanation:
Using the explict formula you get an=6n-4
you plug in 75 for n which means 75 x 6 =450 and the subtract four which gets you 446
Answer:
446 is the 75th term
Step-by-step explanation:
This sequence increases by 6
2 8 14 20 26 32 38 44 50 56 62 68 74 80 86 92 98 104 110 116 122 128 134 140 146 152 158 164 170 176 182 188 194 200 206 212 218 224 230 236 242 248 254 260 266 272 278 284 290 296 302 308 314 320 326 332 338 344 350 356 362 368 374 380 386 392 398 404 410 416 422 428 434 440 446
Mark has 2,250 t-shirts to sell. He sold 25% of the
shirts on Monday, 45% on Tuesday and the rest on
Wednesday. How many shirts did he sell on
Wednesday?
Answer:
1575
Step-by-step explanation:
You ordered several pizzas from
Tonys Pizzeria, The pizzas cost
$50 but you also have to pay 6%
tax and want to leave a 10% tip.
How much will you pay in total,
after the tax and tip?
ayo help me please im dying of math
Find the 8th term of the geometric sequence whose common ratio is 3/2 and whose first term is 3
Step-by-step explanation:
relax ! don't panic. just breathe deeply and then focus again.
a geometric sequence means that every new term is created by multiplying the previous term by a constant factor.
this factor is given here as 3/2.
this is called common ratio, because of that building rule the ratio of 2 consecutive terms is
an/an-1 = factor = 3/2
the first term is 3.
so,
a1 = 3
a2 = a1×3/2 = 3×3/2 = 9/2
a3 = a2×3/2 = a1×3/2 × 3/2 = 3× 3/2 × 3/2 = 27/4
we see
an = an-1 × 3/2 = a1 × (3/2)^(n-1) = 3 × (3/2)^(n-1)
and therefore
a8 = 3 × (3/2)⁷ = 3× 2187/128 = 6561/128 = 51.2578125
40 POINTSSS!!!!
The function g(x)=−x2+14x+39 is at a minimum when x=7.
True or False
The statement "the function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.
What is a expression? What is a mathematical equation? What is Equation modelling ?A mathematical function is made up of terms (constants and variables) separated by mathematical operators having a dependent and independent variable. A mathematical equation is used to equate two expressions. For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which y exists.
We have the following function -
g(x) = - x² + 14x + 39
We will plot the graph of the function to find the minimum value. We can see the graph is maximum when x = 7. Hence, the statement is false.
Therefore, the statement "the function g(x) = - x² + 14x + 39 is at a minimum when x = 7" is false.
To solve more questions on functions, visit the link below -
brainly.com/question/1632425
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Antonia earns $6 per hour helping her grandmother. Write and solve an equation to find how many hours she needs to work to earn $48.
Answer:
48 = 6h
48 = 6 x 8
48 = 48
Step-by-step explanation:
Let e equal her earning and h equal the amount of hours worked. You would divide 48 by 6 to find that she works 8 hours.
Help please anyone!!!!!!
Answer:
[tex]\huge\boxed{D)\frac{3p}{p-3} }[/tex]
Step-by-step explanation:
The first thing that can help you here is factoring every term.
[tex]p^2-4p-12[/tex]
Factor.
[tex](p-6)(p+2)[/tex]
[tex]6p+12[/tex]
Factor.
[tex]6(p+2)[/tex]
18p
Factor, keeping in mind the denominator of the other term.
[tex]6(3p)[/tex]
[tex]p^2-9p+18[/tex]
Factor.
[tex](p-6)(p-3)[/tex]
Now you have simplified your original problem:
[tex]\frac{p^2-4p-12}{6p+12} *\frac{18p}{p^2-9p+18}[/tex]
into:
[tex]\frac{(p-6)(p+2)}{6(p+2)} *\frac{6(3p)}{(p-6)(p-3)}[/tex]
Now, after multiplying the numerator and denominator of the fractions:
[tex]\frac{(p-6)(p+2)(6)(3p)}{(6)(p+2)(p-6)(p-3)}[/tex]
Then, you can simplify the fraction by cancelling terms:
[tex]\frac{3p}{p-3}[/tex]
Hope it helps :) and let me know if you want me to elaborate.