Answer:
x=1.69 or x=-0.44
Step-by-step explanation:
1) multiply both sides by 4x-5 to give 3=x(4x-5)
expand this ------>3=4x^2 - 5x
2) bring the 3 on the other side by subtracting 3
4x^2 - 5x - 3 = 0
3)use quadratic formula where a is 4, b is -5 and c is -3
[tex] \frac{ - b + or \: - \sqrt{b {}^{2} - 4ac} }{2a} [/tex]
[tex] \frac{ - ( - 5) + \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = \: 1.69[/tex]
[tex] \frac{ - ( - 5) - \sqrt{(5) {}^{2} - 4(4)( - 3)} }{2 \times 4} = - 0.44[/tex]
The value of x in the equation 3 / 4x - 5 = x is -20.
What is the equation?An assertion that two mathematical expressions have equal values is known as an equation. An equation simply states that two things are equal. The equal to sign, or "=," is used to indicate it.
Given:
3 / 4x - 5 = x
Solve the above equation as shown below,
x = 3 / 4x - 5
x - 3 / 4 x = -5 (Transform the variable on the left side and constant on the right side)
4x - 3x / 4 = -5
x / 4 = -5
x = 4 × (-5)
x = -20
Thus, the value of x is -20.
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Which transformation maps the strip pattern onto itself?
pdpdpdpdpd
A. half-turn
B. vertical reflection
C. glide reflection
D. vertical translation
The mapping of the strip pattern onto itself is a Glide reflection.
Transformation is the movement of a point from its initial location to a new location. Types of transformation are rotation, reflection, translation and dilation.
Glide reflection is a combination of reflection over a line and then translation along that line.
As we can see, the mapping of the strip pattern onto itself is a Glide reflection.
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Answer:
A: Half-turn
Step-by-step explanation:
i took the test and got it wrong due to the wrong answer above.
Graph: f(x) = 4 to the power of 4
Answer:
how am I supposed to graph?
Step-by-step explanation:
for the equation y=ax^2 how does the sign of coefficient affect the graph of the curve
Answer:
The sign of the coefficient determines the direction of where the graph opens.
Step-by-step explanation:
Given the quadratic equation, y = ax²:
The sign of the coefficient, a, affects the graph of the curve as it determines the direction of where the graph opens.
If the value of a is negative (a < 0), then the graph of the parabola opens downward. If the value of a is positive (a > 1), then the graph of the parabola opens upward.
Please see the attached screenshots of the graphed equations (y = -x², and y = x²), to show the effects of changing the sign of a quadratic equation's coefficient.
If 11 - 3x = x, then 20x=
Answer:
20x = 55
Step-by-step explanation:
First you have to add 3x to both sides of 11-3x=x
[tex]11-3x=x\\+3x=+3x\\11=4x[/tex]
Now that you have 11 = 4x you divide 4 on both sides [tex]\frac{11}{4} =\frac{4x}{4}[/tex]
11/4 = x
But you can't divide 11 by 4 unless you are looking for the decimal form of 11/4 which is 2.75
so now we take 11/4 or 2.75 depending on if you need your answer in fraction or as a decimal and replace that with x however both will equal the number 55
[tex]20(\frac{11}{4})=55\\20(2.75)=55[/tex]
please explain and answer it
8√21 cm² is the area
hope it helps you
please mark as brainlliest!!
Can someone double-check this to see if it's right?
Answer:
yea it is
Step-by-step explanation:
round 6,311 to the nearest thousand
Answer:
6,000
Step-by-step explanation:
A youth group went on trip to EXPO Dubai Travelling in two Vans. The number of people in each van and the total cost of admission are shown in the table. Find the adult price and student price of admission
Answer:
Refer to the attachment
Soo :
2a + 3b = 325
2a + 7b = 505 -
-4b = -180
4b = 180
b = 45
[tex] \: [/tex]
2a + 3b = 325
2a + 3(45) = 325
2a + 135 = 325
2a = 325 - 135
2a = 190
a = 95
What’s the answer, I will mark brainless
Answer:
68x
Step-by-step explanation:
you first of all find the area
1/2b×h=
1/2x×34
1/2×1/34x
68x
ggraph this function
Answer:
The graph of the equation x^2 - 4x - 5 is linked as a pdf down below.
How many sides do 1 quadrilateral, 5 hexagons, and 1 heptagon have in all?
Answer:
Pentagon - 5 sides = 5 x 4 = 20
Hexagon - 6 sides = 6 x 5 = 30
Nanagon - 9 sides = 9
20 + 30 + 9 = 59 IN TOTAL
Step-by-step explanation:
Use the information given in the figure to find the length SU.
If applicable, round your answer to the nearest whole number.
The lengths on the figure are not drawn accurately.
Answer:
We'll calculate ru:
RU^2 = 65^2 - 52^2
RU^2 = 1,521
RU = 39
SU^2 = 89^2 -39^2
SU^2 = 7,921 - 1,521
SU^2 = 6,400
SU = 80
Step-by-step explanation:
If you have a line with a Slope of -4 and a y-intercept of -2, what would be the equation of that line?
Question 6 options:
y = -4x + 2
y = -2x - 4
y = -4x - 2
y = -2x + 4
Answer:
y = -4x - 2
Step-by-step explanation:
y = mx + b where
m = slope, and b = y-intercept
slope = -4 = m
y-intercept = -2 = b
y = mx + b
y = -4x - 2
Answer: y = -4x - 2
Is that the right answer
Answer:
25.12 square feet
Step-by-step explanation:
Area of a circle
a = 3.14 * r^2
a = 3.14 * 4^2
a = 3.14 * 16
a = 50.24
Since this is a semi-circle the area is half the circle
a = 50.24/2
a = 25.12 square feet
Examine the linear relationships.
Linear equation A: y=45x
Linear equation B is represented by this graph.
A line that passes through points (0, 2) and (5, 4).
© 2017 StrongMind. Created using GeoGebra.
Which statement is entirely correct?
Equation A has a steeper slope, because 45 is greater than 25.Equation A has a steeper slope, because 4 fifths is greater than
Equation B has a steeper slope, because 45 is greater than 25.Equation B has a steeper slope, because 4 fifths is greater than
Equation A has a steeper slope, because 52 is greater than 45.Equation A has a steeper slope, because 5 halves is greater than
Equation B has a steeper slope, because 52 is greater than 45.
Using linear functions, it is found that the correct option is:
Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].
A linear function has the following format:
[tex]y = ax + b[/tex]
In which:
a is the slope, which is the rate of change.The higher the slope, the steeper the function is:Linear equation A is given by:
[tex]y = \frac{4}{5}x[/tex]
Linear equation B passes through points (0, 2) and (5, 4). Since the slope between two points is given by change in y divided by change in x, we have that:
[tex]m = \frac{4 - 2}{5 - 0} = \frac{2}{5}[/tex]
Equation A has a higher slope, hence, it is steeper, and the correct option is:
Equation A has a steeper slope, because [tex]\frac{4}{5}[/tex] is greater than [tex]\frac{2}{5}[/tex].
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Given: F(x) = 2x - 1; G(x) = 3x + 2; H(x) = x 2 Find H(x+a) - H(x)/a
Answer:
Step-by-step explanation:
The stumbling block for most people is what exactly do you do the what's in the brackets of something like g(x+ 4) = 2x
The answer is, whatever you see on the left side where g(x) gets modified, you put on the right side wherever you see an x.
In this question
H( x) = x ^2
So if you see anything besides x on the left, then that's what goes on the right for x.
H(x + a) - H(x)/a = (x + a)^2 - (x^2)/a
You can expand this, but I don't see a reason for doing it.
H(x + a) - H(x)/a = (x + a)^2 - (x ^2)/a = x^2 + 2a + a^2 - x^2/a which gets you nowhere.
Angles on a line add up to 180. So what is x?
Answer:
x=121
Step-by-step explanation:
360_304=56180_115=6565+56=121x=121Answer:
x = 121°
Step-by-step explanation:
180 - 115 = 65°
The angle beside 115° is 65°.
A full circle is 360° so
360 - 304 = 56°
Add the two angles
65 + 56 = 121°
Subtract it to 180° to find the other angle
180 - 121 = 59°
Now subtract again to 180° to find the angle in the other side
180 - 59 = 121°
The volume of one serving of fruit punch
is 3.5 fluid Ounces. How many servings
are there in 29.75 fluid Ounces of
fruit punch?
A. 8.25 Servings
B. 8.5 Servings
C. 9.25 Servings
D. 9.5 Servings
Today, Ravi burned 1005.7 calories while exercising. Yesterday, he burned 138 calories. How many more calories did Ravi burn today than yesterday?
Answer:
Ravi burned 867.7 more calories today than he did yesterday.
Step-by-step explanation:
To find how many more calories Ravi burned today than he did yesterday, subtract the number of calories he burned yesterday (138) from the number of calories he burned today (1005.7). This will give us the number 867.7, which is the solution to the problem.
To check this math, we can add 867.7 to 138, which will give us 1005.7, the number of calories Ravi burned today.
What is the value of -4 x ( 4 - 6 ) ?
Answer: 8
Step-by-step explanation:
Carlos took a total of 8 quizzes over the course of 4
weeks. After attending 7 weeks of school this
quarter, how many quizzes will Pancho have taken in
total?
Help,no links
Answer:
the answer is 14
Step-by-step
multiply 2x7
convert
d) 14 yd² to ft²
e) 5.4 cm² to mm²
Answer:
14 yd²= 126 ft²
5.4 cm² = 540 mm²
what is the probability that a tabby is chosen as the second kitten when a black kitten was chosen as the first
Which is the reciprocal of 1 6/7
Answer:
7/13
Step-by-step explanation:
You would first have to turn the fraction into an improper fraction to find the reciprocal of the fraction!
1 6/7 = 13/7
Reciprocal means reverse, so reverse the improper fraction of 13/7 to get 7/13!
I hope this helps you!
circle math problem,, area
Answer:
(E). (33/2)π + 18
Step-by-step explanation:
The reflex angle = 360 - 30 = 330 degrees.
Length of the curved part = (330/360) * 2π*9 = 33π/2.
The length of the straight lines = 9 + 9 = 18
So the required perimeter = 18 + 33π/2
Write a mathematical question that explains the following sentence:
two more than triple a number is fourteen
two more than triple a number is fourteen might be 2×7=14
Which equations represent exponential growth? Which equations represent are exponential decay?
pls help
Answer:
When the base is less than 1 it's Decay
When the base is greater than 1 it's Growth
Graph the lines y=3x+3
~graph
Graph the line using the slope and y-intercept, or two points.
Slope : 3
y intercept = (0 , 3)
graph already attached ✔️
~ nice to help you ^^
Answer:
Step-by-step explanation:
Whats the median, mode and range of 6, 8, 10, 10?
Answer:
Median: 9
Mode: 10
Range: 4
Step-by-step explanation:
Median
Line up all the numbers from smallest to biggest and take the one in the middle. In this case it's both 8 and 10. So you would do (8+10)/2. which is 9
Mode
it's the number that occurs the most number of times, which is 10.
Range
Range is 10-6, so it's 4.
A mean is an arithmetic average of a set of observations. The mean, median, and the range of the given data set 6, 8, 10, 10 are 8.5, 9, and 4 respectively.
What is Mean?A mean is an arithmetic average of a set of observations. it is given by the formula,
Mean = (Sum of observations)/Number of observations
The mean, median and range of the given data set 6, 8, 10, 10 is,
Mean = (6+8+10+10)/4 = 8.5Median = 9Range = 10-6 = 4Hence, the mean, median, and the range of the given data set 6, 8, 10, and 10 are 8.5, 9, and 4 respectively.
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OABD is a sector of a circle.
Angle AOB = 80°.
The radius OB = 22 cm.
Work out:
the length OC
The area of triangle OAB
The area of the sector OABD
The area if the segment ABD
90
Step-by-step explanation:
because it has a parallel line