Answers
[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]
Related Questions
Can someone help me
Answers
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
Which of the following graph of the compound inequality 4p+1>-7 and 6p +3 < 33
Answers
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 system of equations is created by using the line represented by 2x+4y = 0 and the line represented by the data in
the table below.
What is the x-value of the solution to the system?
Answers
Step-by-step explanation:
the answer 0 I think that's it
Answer:
2
Step-by-step explanation:
The slope of the line represented by the table is ...
m = (y2 -y1)/(x2 -x1)
m = (-4 -8)/(3 -(-1)) = -12/4 = -3
The y-intercept of that line is ...
b = y -mx
b = 8 -(-3)(1) = 5
Then the slope-intercept equation of the line represented by the table is ...
y = mx +b
y = -3x +5
Substituting that into the equation for the given line, we have ...
2x +4(-3x+5) = 0
2x -12x +20 = 0
20 = 10x . . . . . . . . add 10x and simplify
2 = x . . . . . . . . . . divide by 2
The x-value of the solution to the system of equations is x = 2.
Problem #3
Imagine you are building a triangular garden. Two sides of the garden measure 230 ft and
360 ft and the included angle between these two sides of the garden measures 38°. What is
the measure of the third side?
С
230ft
38
360ft
Answers
Answer:
b = 115.4 feet
Step-by-step explanation:
b^2 = a^2 + c^2 - 2 (a)(b) x cos B
b^2 = 230^2 + 360^2 - 2(230)(360) x cos(38 degrees)
b^2 = 52,900 + 129,600 - 2(230)(360) x cos(38 degrees)
b^2 = 182,500 - 165,600 x cos(38 degrees)
b = [tex]\sqrt{(16,900)(cos(38)) }[/tex]
b = 115.4 feet
i hope this helps!! :)
Answer:
115.4 ft
Step-by-step explanation:
Shapes. I will give brainless answer correctly and tell me the number
Answers
Answer:
It has to be 4 parts because it will to uneven if you cut diagonally.
As an estimation we are told £3 is €4.
Convert €32 to pounds.
Answers
€4 x 8=32€
£3 x 8=24£
this question is kind of confusing and i need help, please and thank you! :)
Answers
ummmmmmmm a lot and alot
1 year = 365 days
6 years = (365x6) = 2190 days
2190 days x 0.5 (half) = 1095
answer = 1095 pounds
what number is 100`000 more than seven hundred two thousand eight three
Answers
Answer:
802,083
Step-by-step explanation:
Please solve this math problem... I will mark you brainliest if it’s the correct answer
Answers
Answer:
1712 square meters
Step-by-step explanation:
2000 - 288 = 1712
Which is equivalent to 243 Superscript two-fifths?
3
6
9
12
Answers
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 is the rate of the graph shown below answer and i will make you branilest
Answers
Answer:
2
Step-by-step explanation:
Basically I use rise over run, or rise ÷ run.
The rise is 4 and the run is 2 in the section I chose. 4÷2 is equal to 2, so the rate of change is 2 feet per second.
What is the equation for the line in slope-intercept form
Answers
Answer:
y=-2x-4
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
Answers
Answer: All except Irrational
Step-by-step explanation:
12/3 = 4, 4 is an integer, a whole number, and it is rational.
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?
Answers
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
1/3x^2 = -3
The solution to the equation is ___?
Answers
[tex]\dfrac 1{3x^2} = -3\\\\\implies -9x^2 = 1\\\\\implies x^2 = -\dfrac 19\\\\\implies x = \pm\sqrt{-\dfrac 19} = \pm \dfrac 13i[/tex]
Question 1 of 51 Which of the following is not a Pythagorean triple O A. (5, 12, 13) O B. (7,8,9) O C. (3,4,5) D. (9,12,15)
Answers
Answer:
B
--------
Because:-
5, 12, 13 is a Pythagorean triple
3, 4, 5 is a Pythagorean triple
9, 12, 15 is a Pythagorean triple
7, 8, 9 is not a Pythagorean triple
use this rule:-
[tex]a^{2} +b^{2}=c^{2}[/tex]
a line passes through the point -8,-3 and has a slope of -3/2. write an equation
Answers
Answer:
y = -3/2x - 15
Step-by-step explanation:
Use the slope intercept form y = mx + b to substitute the slope = -3/2 and the point (-8, -3).
y = mx + b
-3 = -3/2(-8) + b
-3 = 12 + b
-15 = b
y = -3/2x - 15
Plz help rn got to get this done rn
Answers
Answer:
A) 32
Step-by-step explanation:
Hope this helps! Pls give brainliest!
150 in product of primes in index form
Answers
Answer:
Step-by-step explanation:
The prime factor representation of 150 is 2 x 3 x 5^2
Write an expression that is equivalent to 2 (4x +9)
Answers
Answer:
8x/3+6 is equivalent and simplified
A mirror is 24 inches high and 28 inches wide. The center of the mirror will hang 514 feet from the floor on a wall that is 8 feet high. What will be the distance from the top of the mirror to the ceiling once the mirror is hung on the wall?.
Answers
The distance from the top of the mirror to the ceiling once the mirror is hung on the wall is 21 inches
The dimension of the mirror is given as:
[tex]Height = 24\ in[/tex]
[tex]Width = 28\ in[/tex]
From the center of the mirror to the floor of the wall, the distance is:
[tex]Distance =5\frac14\ ft[/tex]
So, the distance to the top of the mirror will be:
[tex]Top = 5\frac 14\ ft + \frac 12 \times Height[/tex]
Substitute 24 for height
[tex]Top = 5\frac 14\ ft+ \frac 12 \times 24\ in[/tex]
[tex]Top = 5\frac 14\ ft+ 12 \ in[/tex]
Convert feet to inches
[tex]Top = 5\frac 14\times 12\ in+ 12 \ in[/tex]
[tex]Top = 63\ in+ 12 \ in[/tex]
[tex]Top = 75 \ in[/tex]
The distance from the top of the mirror to the ceiling is the difference between the height of the wall and 75 inches.
So, we have:
[tex]Distance = 8\ ft - 75\ in[/tex]
Convert feet to inches
[tex]Distance = 8\times 12\ in - 75\ in[/tex]
[tex]Distance = 96\ in - 75\ in[/tex]
[tex]Distance = 21\ in[/tex]
Hence, the distance is 21 inches
Read more about lengths at:
https://brainly.com/question/10545161
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
Answers
Answer:
5:1
Step-by-step explanation:
Graph: y = 3 * x + 5
Answers
Answer:
2
Step-by-step explanation:
take the 3 put on the side
Which point would not be a solution to the system of linear inequalities shown below?
Answers
Answer:
C
Step-by-step explanation: looks right
dont trust it though
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% ?
Answers
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! :)
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?
Answers
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.
Here's the question.
Answers
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]
Name the marked angle in 2 different ways.
SOMEONE PLEASE HELP ME ILL GIVE YOU BRAINLIST ANSWER!!!
Answers
Answer: Right angles are 90 degrees. Acute angles are less than 90 degrees. Obtuse angles are greater than 90 degrees, but less than 180 degrees, which is a straight angle, or a straight line.
angle KJL and LJK
is the answer i think
will brainliest math is killing me mentally please answer and end my suffering.
Answers
Answer:
LOL the struggle is real
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
Answers
7/100 * x = 14
x = 200 shots