Answer:
x = -4Step-by-step explanation:
Given Equation:3x + 9 = 2x + 5Question:Whether x has one solution or infinite solutions or no solutions?Solution:=> 3x + 9 = 2x + 5
(On shifting like terms to one side we get)=> 3x - 2x = 5 - 9
(On subtracting)=> x = - 4
Result:Hence, x has only one solution that is, x = -4 (Ans)
Topic : Linear equations in one variable
Given :
3х + 9 = 2х + 5Solution :
[tex]\qquad \sf \: { \dashrightarrow 3x + 9 = 2x + 5}[/tex]
Transposing variables on one side and constant terms on the other side, we get :
[tex]\qquad \sf \: { \dashrightarrow 3x - 2x = 5 - 9}[/tex]
[tex]\qquad \sf \: { \dashrightarrow x = - 4}[/tex]
Hence, the x is equal to something which is (– 4)Which is equivalent to 243 Superscript two-fifths?
3
6
9
12
Answer:
The answer is 9 ( C on edge)
Step-by-step explanation:
Answer:
9
Step-by-step explanation:
C on edge
I took the test
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.
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
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.
Learn more about average rate of change on:
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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
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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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
Here's the question.
Answer:
The value of T₂₀ - T₁₅ is -20.
Step-by-step explanation:
Given :
>> If for an A.P, d = -4To Find :
>> T₂₀ - T₁₅Using Formula :
General term of an A.P.
[tex]\star{\small{\underline{\boxed{\sf{\red{ T_n = a + (n - 1)d}}}}}}[/tex]
>> Tₙ = nᵗʰ term>> a = first term>> n = no. of terms>> d = common differenceSolution :
Firstly finding the A.P of T₂₀ by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + (20 - 1) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + (19)d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + 19 \times d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{20} = a + 19d}}}[/tex]
[tex]{\star \: {\underline{\boxed{\sf{\pink{ T_{20} = a + 19d}}}}}}[/tex]
Hence, the value of T₂₀ is a + 19d.
[tex] \rule{190}1[/tex]
Secondly, finding the A.P of T₁₅ by substituting the values in the formula :
[tex]{\dashrightarrow{\pmb{\sf{ T_n = a + (n - 1)d}}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + (15 - 1) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + (14) d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + 14 \times d}}}[/tex]
[tex]{\dashrightarrow{\sf{ T_{15}= a + 14d}}}[/tex]
[tex]{\star{\underline{\boxed{\sf \pink{ T_{15}= a + 14d}}}}}[/tex]
Hence, the value of T₁₅ is a + 14d
[tex] \rule{190}1[/tex]
Now, finding the difference between T₂₀ - T₁₅ :
[tex]{\dashrightarrow{\pmb{\sf{T_{20} - T_{15}}}}}[/tex]
[tex]{\dashrightarrow{\sf{(a + 19d) - (a + 14d)}}}[/tex]
[tex]{\dashrightarrow{\sf{a + 19d - a - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{a - a + 19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{0+ 19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{19d - 14d}}}[/tex]
[tex]{\dashrightarrow{\sf{5 \times - 4}}}[/tex]
[tex]{\dashrightarrow{\sf{ - 20}}}[/tex]
[tex]{\star \: \underline{\boxed{\sf{\pink{T_{20} - T_{15} = - 20}}}}}[/tex]
Hence, the value of T₂₀ - T₁₅ is -20.
[tex]\underline{\rule{220pt}{3.5pt}}[/tex]
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
Can someone help me
Answer:
i) 0.1056
ii) 0.105
iii) 0.1
iv) 0.1056
Step-by-step explanation:
0.36, to the power of 2 (0.36×0.36) is 0.1296
0.1296-0.03×0.8=0.1056
Shapes. I will give brainless answer correctly and tell me the number
Answer:
It has to be 4 parts because it will to uneven if you cut diagonally.
Lisa is getting paid 96$ per hour, her salary per hour increases by 12%, how much is she getting paid now after in increases by 12% ?
Answer:
96$/12×100
=8 × 100
=800$
Answer:
After the raise, I believe she is now getting paid 107.52$ per hour,
Step-by-step explanation:
12% of 96$ is 11.52$
11.52$ + 96$ = 107.52$
I am not sure if all calculations are correct, but I hope this helps! :)
Which point would not be a solution to the system of linear inequalities shown below?
Answer:
C
Step-by-step explanation: looks right
dont trust it though
1 point
16.) During the soccer season, Carla scored goals on 7% of the shots she
took. If she scored 14 goals, how many shots did she take? *
20 shots
98 shots
10 shots
200 shots
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
5n + 2m+4n
30m 30m
Simplify Each Expression
Answer:
5n+2m+3600nm^2
Step-by-step explanation:
what number is 100`000 more than seven hundred two thousand eight three
Answer:
802,083
Step-by-step explanation:
What is the equation for the line in slope-intercept form
Answer:
y=-2x-4
Step-by-step explanation:
PLEASE HELP ME I BEG IMMA FAILLLLLLLLLLLLLLLL
A 25 cm cube is built from small cubes, each 5 cm on an edge. Write a ratio that compares the edge lengths of the large and small cubes.
30:1
5:1
3:1
2:1
Answer:
5:1
Step-by-step explanation:
Please solve this math problem... I will mark you brainliest if it’s the correct answer
Answer:
1712 square meters
Step-by-step explanation:
2000 - 288 = 1712
If it takes 5 pounds of peanuts to make 9 jars of peanut butter, exactly how many pounds of peanuts is needed to make 24 jars of peanut butter?
Step-by-step explanation:
So it takes 5 pounds to make 9 jars of peanut butter and x pounds to make 24 jars of peanut. The equation is written as5pounds=9 jars
? =24 jars
Then you cross multiply /work it out as
5×24÷9
And your final answer will be
13 1/3 pounds
Which of the following graph of the compound inequality 4p+1>-7 and 6p +3 < 33
Step-by-step explanation:
The first inequality has solution
4p > -8 . . . . . . subtract 1
p > -2 . . . . . . . divide by 4
This is graphed as an open dot at -2, with shading to the right.
Neither inequality symbol includes "or equal to", so both dots are open dots. The appropriate choice is the first one:
a number line with open circles at negative 2 and 5 with shading in between
hope that help mark me brinilylist
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.
Graph: y = 3 * x + 5
Answer:
2
Step-by-step explanation:
take the 3 put on the side
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
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 is the equation of the line that passes through the point (16,-7) and has a slope of m=-3/4 written in point-slope form?
Answer:
y+7=-3/4(x-16)
Step-by-step explanation:
y-y1=m(x-x1)
y-(-7)=-3/4(x-16)
y+7=-3/4(x-16)
Please mark me as Brainliest if you're satisfied with the answer.
150 in product of primes in index form
Answer:
Step-by-step explanation:
The prime factor representation of 150 is 2 x 3 x 5^2
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]