19. Solve 5x^2 - 6x + 1 = 0 using the quadratic formula.
Please give detailed steps!!
Answer:
x = -b ± √b²-4ac /2a
a = 5
b= -6
c= 1
x = -(-6) ± √(-6)² - 4(5)(1) /2(5)
x = 6 ± √36 - 20 / 10
x = 6 ± √16 /10
x = 6 ± 4/10
Breaking into respective signs
x = 6 + 4/10 or 6 - 4/10
x = 10/10 or 2/10
x = 1 or 1/5
x = 1 or 1/5.
Answer:
1/5 and 1
Brainliest, please!
Step-by-step explanation:
5x^2 - 6x + 1 = 0
a = 5, b = -6, c = 1
(-b +-sqrt(b^2 - 4ac))/2a
(-(-6) +-sqrt((-6)^2 - 4(5)(1))/2(5)
(6 +- sqrt(16)/10
(6 +- sqrt(16))/10
(6 +- 4)/10
2/10 and 10/10
1/5 and 1
The midpoint of segment AB is M(-2,2). If A is located at (-5,7) find the coordinates of the endpoint B
Answer:
B (1, -3)
Step-by-step explanation:
Step 1: Use the midpoint formula to find the coordinates of the endpoint:
Normally, we find the midpoint of a segment using the midpoint formula, which is given by:
M = (x1 + x2) / 2, (y1 + y2) / 2, where
M is the midpoint,(x1, y1) are one endpoint on the segment,and (x2, y2) are the other endpoint of the segment.Since we're solving for the coordinates of an endpoint, we can allow (-5, 7) to be our (x1, y1) point and plug in (-2, 2) for M to find (x2, y2), the coordinates of the endpoint B:
x-coordinate of B:
x-coordinate of midpoint = (x1 + x2) / 2
(-2 = (-5 + x2) / 2) * 2
(-4 = -5 + x2) + 5
1 = x2
Thus, the x-coordinate of the endpoint B is 1.
y-coordinate of B:
y-coordinate of midpoint = (y1 + y2) / 2
(2 = (7 + x2) / 2) * 2
(4 = 7 + x2) -7
-3 = y2
Thus, the y-coordinate of the endpoint B is -3.
Thus, the coordinates of the endpoint B are (1, -3).
Find the absolute maxima and minima for f(x) on the interval [a, b]. f(x) = 2x3 − 6x2 − 18x − 4, [−10, 10]
Answer:
Step-by-step explanation:
Given the function
f(x) = 2x3 − 6x2 − 18x − 4 on the interval [-10, 10]
At the end point x = -10
f(-10) = 2(-10)³ − 6(-10)² − 18(-10) − 4
f(-10) = 2(-1000)-6(100)+180-4
f(-10) = -2000-600+176
f(-10) = -1824
At the end point x = 10
f(10) = 2(10)³ − 6(10)² − 18(10) − 4
f(10) = 2(1000)-6(100)-180-4
f(10) = 2000-600-184
f(10) = 1400-184
f(10) = 1216
Hence the absolute minimum is at f(x) = -1824 and maximum is at f(x) = 1216
43÷43×321= can you help me with this
Answer:
321
Step-by-step explanation:
FIRST ANSWER WILL GET 100 PTS!
What mixed number is equivalent to 21 ÷ 4?
Answer:
Step-by-step explanation:
5 1/4
Answer:là
5
với số dư
1
.
5
1
4
Step-by-step explanation:
What are graphs used for? Select all that apply.
analyzing what data means
forming experiments
diagram showing the correlation between two quantities
predicting outcomes and patterns
thanks :))
18) What is the slope of the line that contains points (–6, –6) and (–3, 1)?
The slope of the line is 7/9
How to determine the slope of the lineIt is important to note that the equation of a line is represented as;
y = mx + c
Where;
y is a point on the linem is the slope of the linex is a point on the x - axisc is the intercept of the y-axisThe formula for calculating the slope of a line is expressed as;
Slope, m = y₂ - y₁/x₂ - x₁
Now, let's substitute the values into the formula from the points given we have;
Slope, m =1 -(-6)/ -3 - (-6)
expand the bracket
Slope, m = 1 + 6/ 3 + 6
add the values
Slope, m = 7/9
Hence, the value is 7/9
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3. draw the circuit for an sr flip-flop given the characteristic table, equation and state diagram. (8pts)
The logic diagram, characteristic table, and equation of the SR flip-flip are shown. (Refer to the images attached below)
What is SR flip-flop?A gated set-reset flip-flop is an SR flip-flop.
The flip-flop is controlled by the S and R inputs when the clock pulse changes from LOW to HIGH.
Till the clock pulse is on a rising edge, the flip-flop won't alter.
There is a chance that the outputs will be HIGH or LOW when S and R are both HIGH at the same time.
A global flip flop with two inputs, the JK flip flop has the letters "J" and "K."
While J and K are not the reduced abbreviated letters for Set and Reset in the SR flip flop, S and R are.
SR flip-flop equation: Qn+1 = S + QnR'
(Refer to the images attached below)
Therefore, the logic diagram, characteristic table, and equation of the SR flip-flip are shown. (Refer to the images attached below)
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Is this right? Pls help
Answer:
A
Step-by-step explanation:
DE is the shortest side because it's is opposite to the smallest angle (<F)
180 - 60 = 3X +2X + 5,
X = 23
<F = 2*(23) +5 = 51
Malcolm has $50 gift card to a local car wash and order is the ultimate car wash each visit is $8.95
The amount cheaper is the car washes Malcolm orders than the car washes Martha's order is $13.
The correct answer choice is option B.
How much cheaper is the car washes Malcolm orders than the car washes Martha's order?Malcolm's gift card = $50.
Cost Malcolm's car wash per visit = $7
Martha's gift card = $180
Cost Martha's car wash per visit = Difference between gift card balance of first and second visit
= $180 - $160
= $20
How cheap is the car washes Malcolm orders than the car washes Martha's order = $20 - $7
= $13
Therefore, Malcolm's car wash is cheaper than Martha's car wash by $13
The complete question is attached in the diagram.
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can someone help me with this? thanks
Answer:
least to greatest:
-11.7 -11.4 20/40 11.6
Answer:
Least Next Then Greatest
-11.7 -11.4 20/40 11.6
Hope this helps!
And 20/40 is also 0.5 as a decimal!
Help
Help help
Help
Answer:
12/5t
Step-by-step explanation:
When is says "quotient" you have to divide.
When it says "product" you have to multiply.
The back slash means divide btw
what is the domain and range of y=1/2x + 30
Use the graph to answer the question.
Determine the translation used to create the image.
A. 7 units to the right
B. 7 units to the left
C. 3 units to the right
D. 3 units to the left
The correct option is A, we have a translation of 7 units to the right.-
How to determine the translation?To find it, we need to analyze two correspondent vertices.
We can see that vertex A is at (1, 5), while the correspondent vertex A' is at (8, 5)
Taking the difference between that, we will get:
A' - A = (8, 5) - (1, 5) = (8 - 1, 5 - 5) = (7, 0)
The first value gives the horizontal translation and the second the vertical one
So,we have a translation of 7 units to the right, the correct option is A.
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the quotient of a numberand -5 has a result of 2. what is the number
Answer:
-10
Step-by-step explanation:
So to set up the equation, it will be x/-5 = 2.
Then, you multiply (because it is the inverse of dividing) 2 by -5, and you get -10.
Brainliest?
Can somebody help me as soon as possible when can somebody
Answer:
The y intercept is -1
Step-by-step explanation:
Then the m=2/3, which is the slope.
Hope this helps! :D
Answer:
-1
Step-by-step explanation:
y = 2/3x - 1
The equation is y = mx + b, meaning 2/3 is the slope. -1 is the y-intercept since the b value always have to add. But for negative slopes, you can take away the addition sign and add in the negative sign with the number, subtraction.
3) Which graph represents a function?
X
2
10
Answer:
D (Bottom right choice)
Step-by-step explanation:
This is because we have a linear line that changes the same amount every time.
The effectiveness of a blood-pressure drug is being investigated. An experimenter finds that, on average, the reduction in systolic blood pressure is 23.5 for a sample of size 775 and standard deviation 12.2. Estimate how much the drug will lower a typical patient's systolic blood pressure (using a 95% confidence level). Enter your answer as a tri-linear inequality accurate to one decimal place (because the sample statistics are reported accurate to one decimal place).
The 95% confidence interval for the effectiveness of the blood-pressure drug is given as follows:
\(22.6 < \mu < 24.4\)
How to obtain the confidence interval?The mean, the standard deviation and the sample size for this problem, which are the three parameters, are given as follows:
\(\overline{x} = 23.5, \sigma = 12.2, n = 775\)
Looking at the z-table, the critical value for a 95% confidence interval is given as follows:
z = 1.96.
The lower bound of the interval is then given as follows:
\(23.5 - 1.96 \times \frac{12.2}{\sqrt{775}} = 22.6\)
The upper bound of the interval is then given as follows:
\(23.5 + 1.96 \times \frac{12.2}{\sqrt{775}} = 24.4\)
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100 Brainly points!!!!
In the figure, polygon ABCD is dilated by a factor of 2 to produce A’B’C’D’ with the origin as the center of dilation.
Point A’ is at _ options > •(2,1), (-2,-2), (1,2), (-2,2)•
& point D is at _ options > (-2,2), (4,-2), (4,2), (-2,-2).
Answer:
Point A’ is at (-2,-2)
& point D' is at (4,-2)
Step-by-step explanation:
Point A’ => (-1×2, -1×2) => (-2 , -2)
Point D' => (2×2 , -1×2) => (4 , -2)
A is at (-1,-1)
So A' is at
2(-1,-1)(-2,-2)D is at
(2,-1)D' is at.
2(2,-1)(4,-2)Compare the linear relationships.
Linear equation A: y=58x
Linear equation B is partially represented by the points in this table.
x
y
12
623
13
729
14
779
Which linear equation has the greater slope? Why?
Select the option that correctly answers both questions.
Responses
Equation B has the greater slope. It has a slope of 623,
and equation A has a slope of 58,
which is smaller.
Equation B has the greater slope. It has a slope of 6 and 2 thirds textsf comma and equation A has a slope of 5 eighths textsf comma which is smaller.
Equation A has the greater slope. It has a slope of 58,
and equation B has a slope of 59,
which is smaller.
Equation A has the greater slope. It has a slope of 5 eighths textsf comma and equation B has a slope of 5 ninths textsf comma which is smaller.
Equation A has the greater slope. It has a slope of 59,
and equation B has a slope of 58,
which is smaller.
Equation A has the greater slope. It has a slope of 5 ninths textsf comma and equation B has a slope of 5 eighths textsf comma which is smaller.
Equation B has the greater slope. It has a slope of 59,
and equation A has a slope of 58,
which is smaller.
Compare the linear relationships shows that
Equation B has the greater slope. It has a slope of 106, and Equation A has a slope of 58, which is smaller.
How to compare the slopesEquation A is given as y = 58x
The slope is 58
For Equation B
Slope of Equation B = (change in y) / (change in x)
= (729 - 623) / (13 - 12)
= 106 / 1
= 106
Comparing the slopes, we can see that the slope of Equation B (106) is greater than the slope of Equation A (58)
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What is the cos A?Will give 15 points.
Answer:
Step-by-step explanation:
cos A = \(\frac{\sqrt{8} }{3}\)
(ab)(6a^5b)(-ab) simplified please
Answer:
25b3a+93b+60a=30a2+b2
Step-by-step explanation:
if m 1 =7x and m 4 =3x +20 what is the value of x
Answer:
this is a wild guess but 10.
Step-by-step explanation:
Not sure if you're allowed to do this but i added the x's
7x+3x= 10x
10x+20.
I then subtracted 10 by both sides. That leaves me with 10.
x =10
this is a guess i apologize if it's wrong
B) What is the cost of making 35 items?
And c. The domain
The cost of making 35 items is 1100 and the domain is (-∞,∞)
The cost of making 35 items :
x = 35plug the value into the cost equation
C(35) = 10(35) + 800
C(35) = 350 + 800
C(35) = 1100
Hence, cost of making 35 items is 1100
The domain of the functionSince the value of X can be any real number, we can plug in any real number for x and get a real number output.
Hence, the domain = (-∞,∞)
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A wheel of a diameter rotates at 2500 revolutions per minute.Express the speed of a point on the rim in centimeters per second.
Answer:2x34=344343
Step-by-step explanation:32323=23=232
The points J (9,7), K (2,1), L(0,−8) and M (7,−2) form quadrilateral JKLM.
Plot the points
slope of JK =
length of JK =
slope of KL =
length of KL =
slope of LM =
length of LM =
slope of MJ =
length of MJ =
Quadrilateral JKLM can BEST be described as
Quadrilateral JKLM has sides with equal lengths (√85), and the slopes of opposite sides are equal. However, it is not a special type of quadrilateral like a rectangle or a square.
To describe quadrilateral JKLM, let's first plot the given points J(9, 7), K(2, 1), L(0, -8), and M(7, -2) on a coordinate plane:
J(9, 7) K(2, 1)
L(0, -8) M(7, -2)
To find the slopes and lengths of each side of the quadrilateral, we can use the distance formula and the slope formula.
Slope of JK:
Slope (m) = (change in y) / (change in x)
m(JK) = (7 - 1) / (9 - 2) = 6/7
Length of JK:
Length (d) = √[(x2 - x1)^2 + (y2 - y1)^2]
d(JK) = √[(9 - 2)^2 + (7 - 1)^2] = √(49 + 36) = √85
Slope of KL:
m(KL) = (-8 - 1) / (0 - 2) = -9/2
Length of KL:
d(KL) = √[(0 - 2)^2 + (-8 - 1)^2] = √(4 + 81) = √85
Slope of LM:
m(LM) = (-2 - (-8)) / (7 - 0) = 6/7 (same as slope of JK)
Length of LM:
d(LM) = √[(7 - 0)^2 + (-2 - (-8))^2] = √(49 + 36) = √85
Slope of MJ:
m(MJ) = (7 - (-2)) / (9 - 7) = 9
Length of MJ:
d(MJ) = √[(7 - 9)^2 + (-2 - (-8))^2] = √(4 + 36) = √40
Based on the calculations, we can describe quadrilateral JKLM as follows:
The slope of JK and LM is 6/7.
The slope of KL is -9/2.
The slope of MJ is 9.
The length of each side (JK, KL, LM, MJ) is √85.
The quadrilateral is not a rectangle or a square since the slopes of opposite sides (JK and LM) are not perpendicular.
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Can someone help? This is from Kahn Academy
Answer:
B. \( \frac{ {7}^{36} }{ {9}^{24} } \)
Step-by-step explanation:
\( \bigg( {9}^{6} . {7}^{ - 9} \bigg ) ^{ - 4} \\ \\ = {9}^{6 \times ( - 4)} \times {7}^{ - 9 \times ( - 4)} \\ \\ = {9}^{ - 24} \times {7}^{36} \\ \\ = \frac{ {7}^{36} }{ {9}^{24} } \\ \)
Point P is the incenter of triangle ABC,
PZ = 7 units, and PA = 12 units
The incircle centered at point P has a radius of 7 units.
What is the radius of incircle?Here given that,
PA = 12 units.
PZ = 7 units
We are told that point P is the incenter of the triangle and the center of the triangle's incircle. The incircle is the largest circle that can be formed in a triangle and is tangent to all three sides. The circle's radius will be a perpendicular line from point P to any side of the triangle. PZ = PY = PX in the triangle shown, and each value equals the radius of the circle.As a result, no additional calculations are required for this problem because we already know that PZ = 7 units, resulting in the radius, r = 7 units.The complete question is :
"Point P is the incenter of triangle ABC, PZ = 7 units, and PA = 12 units.
The radius of the incircle centered at point P is ? units."
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The measure of the vertex angle of an isosceles triangle is three times the measure of a base angle. Find the number of degrees in the measure of the vertex angle.
We will label the base angles of the triangle as "x".
\(\text{Base angle=x}\)Since the vertex angle is 3 times the measure of the base angle, the vertex angle will be equal to 3x:
\(\text{Vertex angle =3x}\)The following image represent the angles in the isosceles triangle:
Now we use the following property of triangles:
The sum of all of the internal angles in a triangle must be equal to 180°.
Thus, we add the angles and equal them to 180°
\(3x+x+x=180\)We combine the terms on the left:
\(5x=180\)And divide both sides by 5:
\(\begin{gathered} \frac{5x}{5}=\frac{180}{5} \\ x=36 \end{gathered}\)And since x=36, the vertex angle will be:
\(\text{vertex angle = 3x = 3(36)=108\degree}\)answer: 108°
Add using the number line. −11+5 Drag and drop the word SUM to the correct value on the number line.
Answer:
-6
Step-by-step explanation:
Answer:
-6
Step-by-step explanation:
did the test