Answer:
x=5 1/4 or 5.25
Step-by-step explanation:
11x2-4x=1
22-4x=1
22-1-4x=
21-4x=
21=4x
x=5 1/4 or 5.25
Answer:
Using the formula of quadratic equation, we find x = 0.534 and x = -0.17.
Step-by-step explanation:
It is a quadratic equation.
11x² - 4x - 1 = 0
Find the determinant of the quadratic equation.
D = b² - 4ac
D = 16 + 44
D = 60
One of the values of x will be
x = (-b+√D)/2a
x = (4+2√15)/22
x = 0.534
The second value will be
x = (-b-√D)/2a
x = (4-2√15)/22
x = -0.17
The two values of x, from the quadratic formula are 0.534 and -0.17.
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-19+[27-(14+(5-2)×4÷2))]
simplify
Answer:
-12
Step-by-step explanation:
Chloe bought an equal number of forks and spoons for a party. The forks were sold at 3 for 2$ and the spoons were sold at 4 for 3$. She spent 5$ more on spoons than on forks. How much did she spend altogether?
60 forks 60÷3=$20
60 spoons 60÷4=$15
$20+$15=$35 total spent for forks and spoons
The probabilities that Sani, Kolo and Tato will hit a target are 3/4, 2/3 and 7/3 respectively If all three men shot once what is the probability that target will be hit only once
Step-by-step explanation:
get the lcm of the numerals and the denominators then simplify
hope it is correct
Select the correct answer.
What is the solution for x in the equation?
9-10x=2x+1-8x
OA.
O B.
O C.
O D.
x = 2
x = -2
X =
x
= -1
||
12
112
[tex]9-10x=2x+1-8x\\\\9-10x=-6x+1\\\\9=4x+1\\\\8=4x\\ \\ x=\boxed{2}[/tex]
The value of the x in the equation 9 - 10x = 2x + 1 - 8x is 2. The correct answer is A) x = 2.
An equation is a combination of numbers, variables, functions, and often symbols arranged in a peculiar order. The equation comprises two or more expressions distinguished by the equality sign(=). The equations are solved to estimate the values of variables.
The given equation is
9 - 10x = 2x + 1 - 8x
-10x - 2x + 8x = 1 - 9
-4x = -8
4x = 8
x = [tex]\frac{8}{4}[/tex]
x = 2.
Thus, the correct option is A) x = 2.
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which of the following must be true?
Answer:
C
Step-by-step explanation:
Answer C is correct. The absolute value of 10 is 10 and that of -10 is 10. Same result.
Which set of equations has 3, 1 as its solution
Answer:
D.) A and D
Step-by-step explanation:
To find which set of equations has the solution (3,1), you need to identify where on the graph this point lies. Remember, in a point, the first number listed (3) is the "x" value and the second number (1) is the "y" value.
First, look for x = 3. This is the number located on the x-axis (horizontal line).
From this spot, since y = 1, move up 1 unit.
At this point, two lines intersect. These lines are lines A and D.
What is the best name for the part of the figure
identified by the arrow?
O line of reflection
O line of symmetry
O plane of reflection
O axis of symmetry
The best name for the part of the figure identified by the arrow is the plane of reflection option third is correct.
What is geometric transformation?It is defined as the change in coordinates and the shape of the geometrical body. It is also referred to as a two-dimensional transformation. In the geometric transformation, changes in the geometry can be possible by rotation, translation, reflection, and glide translation.
We have given a three-dimensional figure.
As we can see the arrow is pointing at the plane.
A triangular prism is reflected over the given plane and creates a mirror image of a triangular prism.
A plane is a plane of symmetry.
Thus, the best name for the part of the figure identified by the arrow is the plane of reflection option third is correct.
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find the area of the rectangle below
(3x+4) feet x
(x+3) feet
select the correct answer
Answer:
3x^2+ 13x + 12
Step-by-step explanation:
Multiply the length and width:
(3x+4) * (x+3)
FOIL method:
3x^2 + 9x + 4x + 12
Combine like terms
3x^2+ 13x + 12
Maria is on a hike. if she hikes to the scenic lookout on the following map first, she will have to hike farther than if she went straight to the end of the hike. 3 connected points on a coordinate plane. the point labeled, "maria," is at 4, -4. the point labeled, "end," is at -5, 5. a solid line connect the points "maria" and "end." the point labeled, "scenic lookout," is at 2, 3. dashed lines connect "maria" to "scenic lookout" and connect "scenic lookout" to "end." coordinate values on the map are in kilometers. how much shorter is the path straight to the end of the hike than past the scenic lookout? round your final answer only to the nearest kilometer. \text{km}kmstart text, k, m, end text
The path straight to the end of the hike is 6 km farther than past the scenic lookout.
How to determine the difference in the parts?The map is not given, but the question can still be answered
From the question, the positions are given as::
Maria = (4, -4)
Scenic = (2, 3)
End = (-5, 5)
The distance between Maria and the end point is calculated using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]Route\ 1 = \sqrt{(4 + 5)^2 + (-4 -5)^2}[/tex]
[tex]Route\ 1 = 13[/tex]
The distance between Maria and the scenic lookout is calculated using:
[tex]d = \sqrt{(x_2 -x_1)^2 + (y_2 -y_1)^2[/tex]
So, we have:
[tex]Route\ 2 = \sqrt{(4 - 2)^2 + (-4 -3)^2}[/tex]
[tex]Route\ 2 = 7[/tex]
The distance between both routes is:
Distance = 13 - 7
Evaluate
Distance = 6
Hence, the path straight to the end of the hike is 6 km farther than past the scenic lookout.
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You just looked at the graph of this system of equations. Why will the lines never intersect? y = –x + 5 y = –x – 3
Answer: same slope, y int are different
Step-by-step explanation:
Both these lines never intersect because they have the same slope.
they both go down 1 over 1, and also their y interecepts are different
Peter's dog weighs 12 pounds more than Joe's dog. The dogs weigh 36
pounds all together. Write an equation to find the weight of Joe's dog.
Today’s weather map shows the jet stream flowing west to east toward Washington, D.C., at a speed of 70 knots. If the ground speed needs to be 450 knots to make it from Washington to Kansas City on time, what does the plane’s speed need to be?
Considering the direction of the wind, it is found that the plane's speed needs to be of 520 knots.
What is the ground speed?The ground speed, considering that the wind is flowing from Kansas City to Washington, and the trip is Washington to Kansas City, is given by:
G = Plane speed - Wind speed.
Hence:
450 knows = Plane speed - 70 knots.
Plane speed = 520 knots.
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Dude this should be so easy but this is going in one ear and out the other how do I do this send help
Answer:
0.5 hours
Explanation:
Given:
speed: 17 miles/hourdistance: 8 milesFormula:
time taken = distance ÷ speedSolve:
time taken = 8 ÷ 17 = 0.4706 ≈ 0.5 hours (rounded to nearest tenth)pls help!! determine the period! thx
Answer:
T=5
Step-by-step explanation:
Which expression is equivalent to (3^2) ^-2
[tex](3^{2} )[/tex]^-2=(9)^-2=1/9^2=1/81
hope it helps!
question below
What matrix is the result of m*H?
Enter your answer by filling in the boxes. Enter any fractions as simplified fractions.
Answer:
[tex]m \times H=\left[\begin{array}{c c c}\boxed{-9} & \boxed{36} & \boxed{-\dfrac{9}{2}}\end{array}\right][/tex]
Step-by-step explanation:
Calculate the value of m
Given:
[tex]3\left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right]=\dfrac{2}{3}m \times \left[\begin{array}{c c}-1 & 2 \\4 & 8\end{array}\right][/tex]
Therefore:
[tex]\implies 3=\dfrac{2}{3}m[/tex]
[tex]\implies m=3 \times \dfrac{3}{2}[/tex]
[tex]\implies m=\dfrac{9}{2}[/tex]
Calculate the value of H
Given:
[tex]\left(H+ \left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]\right)+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]=\left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right]+\left(\left[\begin{array}{c c c}1 & 4 & -2\end{array}\right]+\left[\begin{array}{c c c}3 & 2 & -6\end{array}\right]\right)[/tex]
Therefore:
[tex]\implies H= \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right][/tex]
Calculating m × H
[tex]\implies m \times H=\dfrac{9}{2} \times \left[\begin{array}{c c c}-2 & 8 & -1\end{array}\right][/tex]
[tex]\implies m \times H=\left[\begin{array}{c c c}\dfrac{9}{2}(-2) & \dfrac{9}{2}(8) & \dfrac{9}{2}(-1)\end{array}\right][/tex]
[tex]\implies m \times H=\left[\begin{array}{c c c}-9 & 36 & -\dfrac{9}{2}\end{array}\right][/tex]
3x[tex]3x^{2} +8x-10[/tex]
The solution to the quadratic equation 3x² + 8x - 10 by using the quadratic formula is x = 0.927 or -3.594
Solving quadratic equations.Quadratic equations are algebraic expressions that are represented in the power of the second degree. They usually take the form ax² + bx + c
From the given information, we are to solve the quadratic equation:
3x² + 8x - 10Using the quadratic formula:
[tex]\mathbf{=\dfrac{-b \pm \sqrt{b^2 - 4ac}}{2a}}[/tex]
where:
a = 3b = + 8c = - 10[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{(8)^2 - 4(3 \times (-10))}}{2(3)}}[/tex]
[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{64 -4 (-30)}}{6}}[/tex]
[tex]\mathbf{= \dfrac{-(8)) \pm \sqrt{64+120}}{6}}[/tex]
x = 0.927 or -3.594
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Pam’s eye-level height is 324 ft above sea level, and adam’s eye-level height is 400 ft above sea level. how much farther can adam see to the horizon? use the formula d = startroot startfraction 3 h over 2 endfraction endroot, with d being the distance they can see in miles and h being their eye-level height in feet.
Adam can see the horizon at a distance of [tex]\sqrt{6}mi.[/tex]
Given that the height of Pam's eye level above sea level is [tex]324ft[/tex] and the height of adam's eye level above sea level is [tex]400ft[/tex].
The formula used to find the distance they see in miles is [tex]d=\sqrt{\frac{3h}{2}}[/tex].
Let the height of Pam's is [tex]h[/tex] and the height of adam's is [tex]h'[/tex].
The distance of Pam from the horizon can be given as [tex]d=\sqrt{\frac{3h}{2}}[/tex].
Substitute these values,
[tex]\begin{aligned}d&=\sqrt{3\times \frac{324}{2}}\\ d&=\sqrt{486}\\ d&=\sqrt{81\times 6}\\ d&=9\sqrt{6}\end[/tex]
And the distance of adam from the horizon can be given as [tex]d=\sqrt{\frac{3h'}{2}}[/tex].
Substitute these values,
[tex]d'=\sqrt{3\times \frac{400}{2}}\\ d'=\sqrt{600}\\ d'=\sqrt{100\times 6}\\ d'&=10\sqrt{6}[/tex]
The net distance of adam from the horizon is
[tex]\begin{aligned}d_{\text{net distance}}&=d'-d\\ &=10\sqrt{6}-9\sqrt{6}\\&=\sqrt{6}\end[/tex]
Hence, the adam can see the horizon at a distance of [tex]\sqrt{6}mi[/tex].
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Answer:
B
Step-by-step explanation:
it said sooo
Solve x/3 = x+2/2. X=
Answer:
I will assume that the term "x+2/2" is meant to be "(x + 2)/2)." Otherwise the equation would read (x/3) = x + 1
Step-by-step explanation:
(x/3) = (x + 2)/2
x = 3*(x+2)/2 [Multiply both sides by 3]
x = (3x + 6)/2
x = (3/2)x + 6/2
x - (3/2)x = 3
-0.5x = 3
x = -6
====================
Check:
Does (x/3) = (x + 2)/2 for x = -6?
(-6/3) = (-6 + 2)/2
-2 = -4/2
-2 = -2 YES
36 students for 3 teachers =
1.0
5
12 students for 1 teacher.
Answer:
12
Step-by-step explanation:
36 divided by 3 =12 for 1 teacher
Can I have the solution with steps
Answer:
1/6
Step-by-step explanation:
As usual in trigonometry, there are so many relationships between the trigonometric functions, there is bound to be more than one method to arrive at the answer.
Knowing values for the sine and cosine function for certain angles on the unit circle proves to be quite helpful. In general, I recommend 0°, 30°, 45°, 60°, and 90° at a minimum.
Recall the following 6 things:
[tex]\cos(30^o)=\frac{\sqrt{3}}{2}[/tex][tex]\cos(60^o)=\frac{1}{2}[/tex][tex]\sin(30^o)=\frac{1}{2}[/tex][tex]\sin(60^o)=\frac{\sqrt{3}}{2}[/tex][tex]\tan(\theta)=\dfrac{\sin(\theta)}{\cos(\theta)}[/tex][tex]\tan^2(\theta)=\tan(\theta)\tan(\theta)[/tex]Knowing these 6 things (4 things from the unit circle, a way to write the tangent function in terms of sine and cosine, and the definition of a squared trig function), we can simplify the given expression down to a single number:
The definition of the tangent squared function is that the output of the tangent function is squared...
[tex]\dfrac{1-\tan^2(30^o)}{1+\tan^2(60^o)}=\dfrac{1-(\tan(30^o))^2}{1+(\tan(60^o))^2}[/tex]
Using fact 5, and turning the tangent function into sines and cosines...
[tex]=\dfrac{1-\left(\frac{\sin(30^o)}{\cos(30^o)}\right)^2}{1+\left(\frac{\sin(60^o)}{\cos(60^o)}\right)^2}[/tex]
Using facts 1-4, and substituting known values for sines and cosines...
[tex]=\dfrac{1-\left(\frac{(\frac{1}{2})}{(\frac{\sqrt{3}}{2})}\right)^2}{1+\left(\frac{(\frac{\sqrt{3}}{2})}{(\frac{1}{2})}\right)^2}[/tex]
Division is multiplication by the reciprocal...
[tex]=\dfrac{1-\left(\frac{1}{2}*\frac{2}{\sqrt{3}}\right)^2}{1+\left(\frac{\sqrt{3}}{2}*\frac{2}{1}\right)^2}[/tex]
Reducing/simplifying common factors of 2...
[tex]=\dfrac{1-\left(\frac{1}{\sqrt{3}}\right)^2}{1+(\sqrt{3})^2}[/tex]
Squaring a square root...
[tex]=\dfrac{1-\left(\frac{1}{3}\right)}{1+(3)}[/tex]
Finding a common denominator...
[tex]=\dfrac{\frac{3}{3}-\frac{1}{3}}{4}[/tex]
Definition of subtracting fractions...
[tex]=\dfrac{\frac{3-1}{3}}{4}[/tex]
Arithmetic...
[tex]=\dfrac{\frac{2}{3}}{4}[/tex]
Division is multiplication by a reciprocal...
[tex]=\dfrac{2}{3}*\dfrac{1}{4}[/tex]
Simplification and reducing the fraction...
[tex]=\dfrac{1}{6}[/tex]
So, [tex]\dfrac{1-\tan^2(30^o)}{1+\tan^2(60^o)}=\dfrac{1}{6}[/tex]
Adam wins $30 in a "spot the ball" competition. He decides to save the money and opens a saving account with the $30. After his win, he continues to put $8 into his savings account each week. Identify a rule for the linear function that describes Adam's savings. Use the rule to find the amount Adam saved during the first 5 weeks.
Answer:
$110
Step-by-step explanation:
$30-$8=$22 each week
$22×5weeks=$110
The image of ΔABC after a reflection across Line E G is ΔA'B'C'.
2 triangles are shown. Line E G is the line of reflection. Line segment D D prime has a midpoint at point F. Line segment C C prime has a midpoint at point G. Points B and B prime share a point. Angle C G F is a right angle.
Which triangle must be a right triangle and why?
ΔA'B'C' is right because it is the image of ΔABC.
ΔADC is right because AA' intersects AC at A.
ΔBCC' is right because B lies of the line of reflection.
ΔBGC is right because Line E G is perpendicular-to CC'.
Δ DGC is right angled triangle because Line E G is perpendicular-to CC', Option D is the correct answer.
What is Triangle ?Triangle is a polygon with three sides , angles and vertices.
It is given that the there are two Triangles , ABC and A'B'C' as an image of the ABC
* Line segment AA' has a midpoint at point F
*D is the mid point of the line joining BB' .*
The figure is attached with the answer.
the line of reflection of the object is always perpendicular to the object and the image.
it is also given that CGF is a right angle.
Therefore triangle DGC is right angled triangle , (the option given in the question is incorrect ) , Line E G is perpendicular-to CC'.
Option D is the correct answer.
Please Refer to the image for correct coordinates.
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What is the polynomial? Quick I need answer
Answer:
An algebraic expression containing two or more terms is called a polynomial
Answer:
Its C
Step-by-step explanation:
it worked finally
after this i will only have 4 questions please and ty!
Answer:D
Step-by-step explanation:
this expression gives the original price reduce by 15%. The second term adds the tax to the price after the sale has been applied
if three hard drives are using 132 5/8 watts, what is the number of watts used per hard drive?
1. 44 7/24 watts
2. 42 5/24 watts
3. 42 7/24 watts
4. 44 5/24 watts
whoever answers correctly i will give brainliest.
132/3 = 44
5/8 / 3 = 5/8 x 1/3 =5/24
answer: 4. 44 5/24 watts
Answer:
[tex]\sf 4. \quad 44\frac{5}{24}\:\:watts[/tex]
Step-by-step explanation:
Given information:
3 hard drives are using 132 5/8 wattsTo find the number of watts used per hard drive, divide the total amount of watts by 3.
Convert the mixed number into an improper fraction:
[tex]=\sf 132 \frac{5}{8}[/tex]
[tex]\sf =\dfrac{132 \times 8+5}{8}[/tex]
[tex]\sf =\dfrac{1061}{8}[/tex]
Divide by 3:
[tex]=\sf \dfrac{1061}{8} \div 3[/tex]
[tex]\sf =\dfrac{1061}{8} \times \dfrac{1}{3}[/tex]
[tex]\sf =\dfrac{1061 \times 1}{8 \times 3}[/tex]
[tex]\sf =\dfrac{1061}{24}[/tex]
Convert back into a mixed number:
[tex]\sf =\dfrac{1061}{24}[/tex]
[tex]\sf =\dfrac{1056+5}{24}[/tex]
[tex]\sf =\dfrac{1056}{24}+\dfrac{5}{24}[/tex]
[tex]= \sf 44\frac{5}{24}[/tex]
Therefore, the number of watts used per hard drive is [tex]\sf 44\frac{5}{24}[/tex] watts.
The nth term of a sequence is -2n - 4. Work out the 50th term of the sequence.
Answer:
-104
Step-by-step explanation:
1) Substitute 50 into n.
-2(50) - 4
-100 - 4
-104
If f(x) = 4x² + 1 and g(x)=x2-5, find (f- g)(x).
Answer:
3x² +6
Step-by-step explanation:
(f-g)(x) = f(x) -g(x) = (4x²+1) -(x²-5) . . . . . substitute the function definitions
... = 4x² +1 -x² +5 . . . . . . . . . . . eliminate parentheses
... = (4-1)x² +(1+5) . . . . . . . . . . . collect like terms
... = 3x² +6
If F= {(1,5), (4, 1), (2, 7)}and g= {(3, 1), (5 4) (-6,2)} represent fog in mapping of agram and to find fog in ordered pair form
From the given mappings, we have
[tex]f(1) = 5, f(4) = 1, f(2) = 7[/tex]
and
[tex]g(3) = 1, g(5) = 4, g(-6) = 2[/tex]
Then the composition of [tex]f[/tex] with [tex]g[/tex], or [tex]f\circ g[/tex], is
[tex]\boxed{f\circ g = \{(3,5), (5,1), (-6, 7)\}}[/tex]
since
[tex]g(3) = 1 \implies (f\circ g)(3) = f(g(3)) = f(1) = 5[/tex]
[tex]g(5) = 4 \implies (f\circ g)(5) = f(4) = 1[/tex]
[tex]g(-6) = 2 \implies (f\circ g)(-6) = f(2) = 7[/tex]
Tricia recorded the number of pets owned by each of her classmates. these data points represent the results of her survey. 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3 create a dot plot that represents the data.
The dot plot of the data recorded by Tricia about number of pets owned by each of her classmates looks like scattered and some points are in one line.
Given number of pets owned by each of her classmates are: 0, 3, 2, 4, 1, 0, 0, 3, 2, 1, 2, 1, 1, 3, 4, 2, 0, 0, 1, 1, 1, 0, 3.
We have to create dot plot of the data given in the question.
Firstly we have to give a code to each value which represents friend of Tricia.
A dot plot is a statistical chart which have points but they are presented in dot form. Each dot shows a value .There are two common, yet different versions of the dot chart.
After giving codes the table will look like:
Friend Number of pets
1 0
2 3
3 2
4 4
5 1
6 0
7 0
8 3
9 2
10 1
11 2
12 1
13 1
14 3
15 4
16 2
17 0
18 0
19 1
20 1
21 1
22 0
23 3
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