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
Iliana rotated trapezoid WXYZ 180° about the origin.
On a coordinate plane, trapezoid W X Y Z has points (negative 4, 2), (negative 3, 4), (negative 1, 4), (0, 2).
What is the correct set of image points for trapezoid W’X’Y’Z’?
W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
W’(4, 2), X’(3, 4), Y’(1, 4), Z’(0, 2)
W’(–2, –4), X’(–4, –3), Y’(–4, –1), Z’(–2, 0)
W’(2, 4), X’(4, 3), Y’(4, 1), Z’(2, 0)
Answers
Answer:
The answer is A. W’(4, –2), X’(3, –4), Y’(1, –4), Z’(0, –2)
Step-by-step explanation:
Answer:
The answer is A i got A 100 on the test here or the rest of the anwers for the test
Tanya’s rotation maps point K(24, –15) to K’(–15, –24). Which describes the rotation?
90 degrees clockwise rotation ✔
270 degrees clockwise rotation
180 degrees rotation
90 degrees counterclockwise rotation
Triangle XYZ is rotated 90° clockwise about the origin.
On a coordinate plane, triangle X Y Z has points (negative 3, 1), (4, 4), (4, 1).
What are the coordinates of point X’?
(1, 3) ✔
(3, –1)
(3, 1)
(–1, –3)
Triangle XYZ has vertices X(1, –1), Y(3, 4), and Z(5, –1). Nikko rotated the triangle 90° counterclockwise about the origin. What is the correct set of image points for triangle X’Y’Z’?
X’(1, 1), Y’(-4, 3), Z’(1, 5) ✔
X’(1, 1), Y’(–3, –4), Z’(–1, –5)
X’(–1, 1), Y’(–3, –4), Z’(–5, 1)
X’(–1, –1),Y’(4, –3), Z’(–1, –5)
Angie’s rotation maps triangle XYZ to triangle X’Y’Z’.
X(3, –6) maps to X’(–3, 6)
Y(1, –2) maps to Y’(–1, 2)
Z(–1, –5) maps to Z’(1, 5)
Which describes the rotation?
180 degrees rotation ✔
270 degrees clockwise rotation
90 degrees counterclockwise rotation
90 degrees clockwise rotation
A rotation maps point A to A’.
On a coordinate plane, point A prime is (negative 3, 4) and A is (3, negative 4).
Which statement describes the rotation?
270° counterclockwise rotation
90° clockwise rotation
180° rotation ✔
90° counterclockwise rotation
Rectangle PQRS is rotated 90° counterclockwise about the origin.
On a coordinate plane, rectangle P Q R S has points (2, 3), (5, 3), (5, 1), (2, 1).
What are the coordinates of point Q’?
Q’( –3, 5) ✔
Q’(3, –5)
Q’(5, –3)
Q’(–5, –3)
U is the centroid of ∆SRT. What is the length of segment UV if length of UT = 3 cm?
Answers
Answer:
1.5 cm
Step-by-step explanation:
Since U us the centroid, the ratio between UV and UT is 1:2, UT = 3
so UV = 3/2 = 1.5 cm
Two standard dice are rolled together. What is the probability of rolling a sum less than 7 or a sum divisible by 5?
Answers
Answer:
Sum less than: 7 (1,1), (1,2), (1,3), (1,4), (1,5), (2,1), (2,2), (2,3), (2,4), (2,5), (3,1), (3,2), (3,3), (3,4), (3,5), (,4,1), (4,2), & (5,1)
Sum divisible by 5 (1,4), (2,3), (3,2), (4,1)
find the measure of the indicated angle to the nearest degree
Answers
[tex]\boxed{\sf sin\theta=\dfrac{P}{H}}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{38}{53}[/tex]
[tex]\\ \sf\longmapsto sin\theta=0.7[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{1.4}[/tex]
[tex]\\ \sf\longmapsto sin\theta=\dfrac{1}{\sqrt{2}}[/tex]
[tex]\\ \sf\longmapsto sin\theta=sin45°[/tex]
[tex]\\ \sf\longmapsto \theta=45°[/tex]
What is the percent of change from 45to56
Answers
Answer:
24.44%
Step-by-step explanation:
initial value :45
final value:56
change in value= 56-45=11
percentage change= 11
[tex] \frac{11}{45} \times \frac{100}{1} [/tex]
[tex] \frac{1100}{45} [/tex]
=24.44%
Answer:
24.44%
Step-by-step explanation:
Çhange =56-45
=11
Percentage change =change/previous change ×100%
Percentage change=11/45 ×100%
=0.2444444×100%
=24.4444%
PLS HELP I'M SOO CONFUSED
Consider the arithmetic senes 336+ 332+328+....+4 Numeric Response 1 The number of terms in the series above is (Record your answer in the numerical-response section below) Your answer DCC Numeric Response 2. The sum of the series above is (Record your answer in the numerical-response section below)
Answers
The first term in the series is 336. The second term is obtained by subtracting 4 from the first term; subtract 4 from that to get the third term; and so on. Then the n-th term in the series is
336 - 4 (n - 1)
or
340 - 4n
The last term in this series is 4, so we solve for n :
340 - 4n = 4
336 = 4n
n = 336/4 = 84
The sum of the series is then
[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\sum_{n=1}^{84}1 - 4 \sum_{n=1}^{84}n[/tex]
Recall that
[tex]\displaystyle \sum_{n=1}^{N} 1 = N[/tex]
[tex]\displaystyle \sum_{n=1}^N n = \frac{N(N+1)}2[/tex]
Then the sum we want is
[tex]\displaystyle\sum_{n=1}^{84}(340-4n) = 340\times84 - 4\times\frac{84\times85}2 = \boxed{14,280}[/tex]
If f(x) = 3x2 + 1 and g(x) = 1 - x, what is the value of (f-9)(2)?
Answers
Answer:
14
Step-by-step explanation:
If f(x)= sqrt x, which equation describes the graphed function.
Answers
Answer:
C. y = -f(x) - 3
Step-by-step explanation:
The given (parent) function is f(x) = √x
The given graph shows a real curve that starts from y = -3, when x = 0 and the y-value increases in magnitude in the negative direction as the x-values increases positively from left to right, by the same amount that the parent function increases from left to right
Therefore;
The graph is real, therefore, the value of x in √x is x ≥ 0, and y ≠ f(-x) + D
Where, D, is the vertical shift
The graph starts at x = 0, y = -3, compared to the parent function, the vertical shift, D = -3
The y-value of the given curve increases in the opposite direction (negatively) as the y-value of the parent function increases in magnitude in the positive direction
Therefore, the equation of the given curve comprises of the reflection of the parent function or -f(x)
The graph shows the reflection of the parent function, across the x-axis, and we have, reflection of the parent function, f(x) which is -f(x)
Therefore, the equation that describes the graphed function is y = -f(x) - 3
[tex]\sqrt{x} +\sqrt{5} =\sqrt{12}[/tex]
Answers
write the factors of the following numbers 8
Answers
the factors of 8 are as follow:
1,2,4,8
Answer:
Factors of 8 are 1, 2, 4, and 8.
Step-by-step explanation:
hope it is helpful to you ☆☆
Please help me to solve this question as soon as possible. Thank you
1.6 is a common factor of 36 and y. Find the possible value of y.
A. 25
B. 48
C.57
D. 81
Answers
Answer:
the answer is B
Step-by-step explanation:
because only 48 is dividable by 6
Question 1 of 10
Identify the domain of the function shown in the graph.
10
O A.-1sxs 0
OB. x is all real numbers.
PREVIOUS
Answers
Answer:
The answer would be B. x is all real numbers.
Step-by-step explanation:
It can't be A since the squiggling line is going beyond x = -1 and x = 0. That would've been a vertical line.
Well, good luck on the other 9 problems!
What is the fastest way to solve the following question:
The ratio of boys to girls in Mr. Brown's class is 2:3. If there are 30 students in the class, how many more girls than boys are in the class?
Answers
Answer:
There are 6 more girls than boys
Step-by-step explanation:
boys :girls : total
2 3 2+3 = 5
There are 30 total students
30/5 = 6
Multiply each number by 6
boys :girls : total
2*6 3*6 5*6
12 18 30
There are 18 girls and 12 boys
18-12 = 6
There are 6 more girls than boys
Answer:
Answer is 6.
Step-by-step explanation:
I will now explain the fastest way to solve this. First off, the ratio is 2:3 so the first thing I do is combine that for 5, then do 30/5 for an answer of 6. Then, I multiply 6 for the ratio, which comes out as 12:18, 12 boys and 18 girls. 18-12=6, so there are 6 more girls than boys in the class.
The plot below shows the amount of time Mira spent on maths questions. If Mira had spent the same total amount of time, but spent an equal amount of time on each problem, how many minutes would each problem have taken?
Answers
Answer:
See explanation
Step-by-step explanation:
Given
[tex]n = 5[/tex] --- number of questions
Required
The time spent on each question
The question has missing details, as the required plot to calculate the total time is not given.
However, the formula to use is as follows
[tex]Each = \frac{Total}{n}[/tex]
Substitute 5 for n
[tex]Each = \frac{Total}{5}[/tex]
Assume the calculated total time is 60 minutes; The equation becomes
[tex]Each = \frac{60}{5}[/tex]
[tex]Each = 12\ mins[/tex]
Answer:
9 minutes
Step-by-step explanation:
I got it wrong from the other guy so i put get help and that's the Awnser LOL
Two similar triangle prisms have edge lengths in the ratio of 5:3. What is the ratio of the surface areas the two prisms?
Answers
Answer:
Since the ratio of the two corresponding sides is 3:5, this means that edge_prism_1%2Fedge_prism_2=3%2F5
So the ratio of the two surface areas is simply the square of the ratio of the two sides. This means that ratio of the two surface areas is simply
3%5E2%2F5%5E2=9%2F25
Consequently, this works with volume also. So ratio of the two volumes is:
3%5E3%2F5%5E3=27%2F125Step-by-step explanation:
determine the condition under which job Shane should collect and explain
Answers
Answer:
By the 4th hour of working, both jobs pay 80, but Job B will pay less by the 5th hour, and continues to pay less as time progresses after that.
Draw the graph of Job b on the same graph as A and you'll see exactly when A passes B.
He'll make more at job A if he works more than 4-5 hours, but more at job B if he works less than 4-5 hours (again, don't know at exactly what time A passes B, wouldn't recommend putting "4-5" on a paper)
Step-by-step explanation:
hour job A pay job B pay
----------------------------------------------------------
0 $0 $30
1 $ 20 $42.50
2 $40 $55
3 $60 $67.50
4 $ 80 $80
5 $100 $ 92.50
Hope this helps!
(x − 5)∙ 3 = 2∙ 10 + 8
Answers
Answer:
x=17
Step-by-step explanation:
3x-15=20+16
3x-15=36
3x=36+15
3x=51
x=17
Can someone help I don't understand
Answers
Answer:
Step-by-step explanation:
last one for similarity transformations:)
Answers
1. 1/2
2. Across Y axis
3. 3 rights and 2 ups (3, 2)
The quotient of five less than a number and six, is -4
Answers
Answer:
(a-5) / 6 = -4
or
-19
Step-by-step explanation:
(a-5) / 6 = -4
multiply by 6
a - 5 = -24
+5 +5
a = -19
what is a power according to mathematics
Answers
Answer:
A power is the product of multiplying a number by itself. Usually, a power is represented with a base number and an exponent. The base number tells what number is being multiplied. The exponent, a small number written above and to the right of the base number, tells how many times the base number is being multiplied
Answer:
United States: Retail sales rebound in June
Step-by-step explanation:
United States: Retail sales rebound in June: Retail sales increased 0.6% month-on-month in seasonally-adjusted terms in June (May: -1.7% mom). The figure was largely due to a strong increase in gasoline sales in June, while sales at electronic and appliances, health and personal care, and general merchandise stores all rebounded robustly over the previous month. #accelerationism
Mark rolls a fair dice 36 times. How many times would Mark expect to roll a number greater than 5?
Answers
Answer:
Let X be the number of times a Dice rolls 4.
Expected value is 96/6 = 16.
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
In a dice, there are 6 faces, there's {1, 2, 3, 4, 5, 6}.
So when the question asks a number greater than 5 it means that it wants the "6". The probability to get the "6" is 1/6. So to find the expected value you just times the number of rolls with the probability which means 36 × 1/6 which equals to 6 times
HALP ME PLS
The following dot plot represents two data sets, A and B.
Which of the following statements is not true?
The range of the two sets is the same.
The difference between the median of each set is 40.
Set B has a higher mean than set A.
The mode of set A is 50 less than the mode of set B.
Answers
The first stuation is not true because when we look at X which marks it's number and then collect all number is not like B Data. For example, set a has 5x*10+7x*20+2x*30+......... and for set B has 2x*20+8x*70 +.......... the two set hasn't same point
Make a box-and-whisker plot for the data. What is the lower quartile value?
56 32 48 52 51 53 48 38 35 42 40 46 54 50
Answers
an expression that equals to 6/5
Answers
Answer:
(3+3) / (2+3) = 6/5
:)))
..........
How many times is the value of the digit 5 in 65.1748 lesser than the value of
the digit 5 in 3526.987?
100
1/100
1000
10
Answers
Answer:
3 times
Step-by-step explanation:
The 5 in "65.1748" is in the ones place. 5 is less than 10, 100, and 1000. 5 is greater than 1/100.
4(6*9)+90=?
PLS CAN SOMEONE HELP ME
Answers
Answer:
306
Step-by-step explanation:
6*9=54
54*4=216
216+90=306
In a triangle, a segment connecting the midpoints of two sides of the triangle is
called:
Answers
Answer:
A.) Midsegment
Step-by-step explanation:
Trust me bro
Rationalise the denominator and simplify. 5 over root 3
Answers
[tex] \frac{5}{ \sqrt{3} } \\ = \frac{5 \times \sqrt{3} }{ \sqrt{3} \times \sqrt{3} } \\ = \frac{5 \sqrt{3} }{ { \sqrt{3} }^{2} } \\ = \frac{5 \sqrt{3} }{3} [/tex]
This is the answer.
What are the coefficients for the binomial expansion of (a + b)^3?
Answers
Answer:
coefficient of 1st, 2nd, 3rd and 4th term are 1, 3,3,1 respectively. (required coefficient)
Step-by-step explanation:
