====================================================
Work Shown:
Plug in x = 0
[tex]f(x) = \frac{2x-1}{3x+5}\\\\f(0) = \frac{2*0-1}{3*0+5}\\\\f(0) = \frac{0-1}{0+5}\\\\f(0) = -\frac{1}{5}\\\\[/tex]
Repeat for x = 8
[tex]f(x) = \frac{2x-1}{3x+5}\\\\f(8) = \frac{2*8-1}{3*8+5}\\\\f(8) = \frac{16-1}{24+5}\\\\f(8) = \frac{15}{29}\\\\[/tex]
Now use the average rate of change formula
[tex]m = \frac{f(b)-f(a)}{b-a}\\\\m = \frac{f(8)-f(0)}{8-0}\\\\m = \frac{15/29 - (-1/5)}{8}\\\\m = \frac{15/29 + 1/5}{8}\\\\m = \frac{(15/29)*(5/5) + (1/5)*(29/29)}{8}\\\\m = \frac{75/145 + 29/145}{8}\\\\[/tex]
[tex]m=\frac{104/145}{8}\\\\m = \frac{104}{145} \div \frac{8}{1}\\\\m = \frac{104}{145} \times \frac{1}{8}\\\\m = \frac{104*1}{145*8}\\\\m = \frac{104}{1160}\\\\m = \frac{13}{145}\\\\[/tex]
For problems 1 - 4, write a two-column proof.
Solution given:
1:
<5=<6
<5+<4=180°[co interior angle]
Substituting value of<5
<6+<4=180°[it shows a property of co interior angle]
So
l || m
2:
<1=90°[ l is perpendicular to t]
<2=90°[m is perpendicular to t]
since
<1=<2[shows property of corresponding angle]
:.
l || m.
3:
<1=<2
<1=<3
substituting value of<1 in second one
<2=<3[which shows property of alternate Angel]
So
Segment ST || segment UV.
4:
<RSP=<PQR......[I]
<QRS+<PQR=180°.....[ii]
from equation I and ii we get
<RSP+<QRS=180°[which shows property of co interior angle ]
So
Segment PS || segment QR
These pictures are the questions given in the pdf, let's get the solutions.
1) Solution
It is given that,
→ <5 = <6
Then the co interior angles,
→ <5 + <4 = 180°
Now substituting value of <5,
→ <6 + <4 = 180°
This shows property of co interior angle.
Therefore, L ll m
2) Solution
Take it as,
→ <1 = 90°
In above eq. L is perpendicular to t.
→ <2 = 90
In above eq. m is perpendicular to t.
Then it will be,
→ <1 = <2
It shows property of corresponding angle.
Therefore, L ll m.
3) Solution
It is given that,
→ <1 = <2 and <1 = <3
Now substitute,
The value of <1 in second one,
→ <2 = <3
This shows property of alternate angle.
Therefore, ST || UV.
4) Solution
It is given that,
→ <RSP = <PQR --- (1)
→ <QRS + <PQR = 180° --- (2)
Now from the equation (1) and (2),
→ <RSP + <QRS = 180
It shows property of co interior angle.
Therefore, PS || QR.
find the perimeter of the figure
Answer:
72cm
Step-by-step explanation:
We have 4/6 sides. 4 of them are given, and they are 13.25cm, 7.25cm, 7.75cm, and 22.75cm.
The perimeter is found when you add all the lengths of the sides of a figure.
So far, we can add 13.25+7.25+7.75+22.75 = 51cm.
Let's call the first ungiven side A. We can see that 7.75cm + A = 13.25cm. Using this, we can figure out that A = 13.25-7.75 = 5.5cm.
We can call the second ungiven side B. We see that 7.25cm + B = 22.75cm. So, B = 22.75-7.25 = 15.5cm.
Now, let's add everything together. 51cm + A + B = Perimeter. 51cm + 5.5cm + 15.5cm = 72cm.
Hope this helps! Feel free to ask any questions if this doesn't make sense. :)
25. A pizza shop offers 30% off the price of a large pizza every Tuesday
night. If the regular price is $25, what is the discounted price?
Answer:
25 -(.3*25)
25-7.50 = $17.50
Step-by-step explanation:
Answer:
17.50
Step-by-step explanation:
First find the amount of the discount
25 * 30%
25 * .3
7.5
Subtract this from the original amount
25 - 7.5
17.50
The sum of two integers is (-32). Their quotient is 7. What are the integers?
===========================================================
Explanation:
Let x and y be the two integers such that |x| > |y|. This is another way of saying that x is further away from 0 compared to y.
Their quotient being 7 means x/y = 7 which rearranges to x = 7y
The sum of the integers is -32 which allows us to say....
x+y = -32
7y+y = -32
8y = -32
y = -32/8
y = -4
Use this y value to find x
x = 7y
x = 7*(-4)
x = -28
The two integers are -28 and -4.
The total cost of a flower bouquet depends on the types of flowers in the arrangement. A bouquet containing 6 roses, 3 lilies, and 2 carnations costs $26.75. A bouquet containing 3 roses, 4 lilies, and 5 carnations costs $25.50. A bouquet containing 1 of each flower costs $6.75. Which system of equations represents this situation, where r represents the number of roses, l represents the number of lilies, and c represents the number of carnations?
Answer:
Roses 2.70, Lillies 2.45, Carnations 1.60
If one angle of a triangle is 60°and the ratio of other two is 1:3,find all the angles and the ratio of the sides.
Answer:
30, 90
1 : √3 : 2
Step-by-step explanation:
let the smaller angle be x
hence, the other angle = 3x
180-60=4x
4x = 120
x = 120/4 = 30
other angle = 3(30) = 90
the triangle is a 30-60-90 triangle,
hence the ratio of the sides are 1:√3:2
( short leg : long leg : hypotenuse )
the numbers written in rectangles are the products of the numbers in connecting circle. Please solve it fast its urgent
Answer:
It is the third one
Step-by-step explanation:
c
SOMEONE HELP ME PLEASE
Answer:
1/36
Step-by-step explanation:
There are 6 possible outcomes 1,2,3,4,5,6
P(1) = number of outcomes that equal1 / total
=1/6
Roll again
P(1) = 1/6
These are independent events so we can multiply the probabilities
P(1 roll again 1) = 1/6 * 1/6 = 1/ 36
What is the slope of the line y = 1/2-x+4?
Answer:
1/2
Step-by-step explanation:
coefficient of x
Answer:
The answer above me is correct, the slope is 1/2.
Step-by-step explanation:
It is the coefficient of x.
Arturo's goal is to find a job that provides an income of at least $60,000 a year. Kristen's Furniture offers him a job paying a base salary of $14,000 a year, plus a commission of 7% of his sales. Determine what Arturo's total sales will need to be for him to have a yearly income greater than or equal to $60,000.
If Arturo takes the job with Kristen's Furniture, he will need to have at least
$
in total sales to have a yearly income greater than or equal to $60,000 per year.
Answer:
He will need at least 657,142.86
Step-by-step explanation:
Determine how much commission he needs
60000-14000
46000
Commission is 7%
Let x be the sales
x*7% = 46000
x*.07 = 46000
Divide each side by .07
x = 46000/.07
x =657142.85714
Rounding to the nearest cent
x = 657,142.86
Which table represents a linear function?
X
1
1
у
5
10
15
| | | |-
1
4
20
25
5
Answer:
x is the linear function table
Using trig to solve for missing angles
Answer:
0.9⁰
Step-by-step explanation:
let unknown angle be x
sin x=47/60
sin x=0.783333
x=sin(inverse) 0.7833333
x=0.9⁰
Please answer the questions down below i left a couple diffrent pictures
20 POINTS!!
Summer Learning HeadStart 7-8
Answer:
yes
yes
no
no
Step-by-step explanation:
4.
Additive inverses are the same number with different signs, one positive and one negative. they must add to zero. For example, -1 and 1 are additive inverses since they add to zero.
yes
yes
no
no
simplify negative 3 / 8 divided by negative 5 / 6
Answer:
9/20
Step-by-step explanation:
1. 3/8 / 5/6
2. 9/20
Answer:
[tex] \sf \: \frac{9}{20} [/tex]
Step-by-step explanation:
Given problem,
[tex] \sf \rightarrow \: \frac{ - 3 }{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]
Let's solve the problem,
[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \div \frac{ - 5}{ \: 6} [/tex]
[tex] \sf \rightarrow \: \frac{ - 3}{ \: 8} \times \frac{ - 6}{ \: 5} [/tex]
[tex] \sf \rightarrow \: \frac{( - 3 \times - 6)}{(8 \times 5)} [/tex]
[tex] \sf \rightarrow \: \frac{18}{40} = \frac{9}{20} [/tex]
Hence, the answer is 9/20.
determine the equation of a line that goes through (-1,2) and (7,2)
Answer:
Step-by-step explanation:
To evaluate such, the following must be comprehended:
Slope: Rise/Run.
X-intercept: The peculiar point in which the observed linear data intersects the x-axis.
Y-intercept: The peculiar point in which the observed linear data intersects the y-axis.
To evaluate for the slope, which is defined as the agglomerate distance between two points contained within linear data, the following equation must be utilized:
m = (y2 - y1) / (x2 - x1)
Points utilized or given: (-1, 2) and (7, 2).
2 - 2 / 7 + 1 = 0/8 ==> 0
Henceforth, the slope for the particular configuration, as provided, is understood as zero (0).
Utilizing the integral of one of the points provided, as well as slope evaluated for, the following equation could be exploited:
Point-Slope Formula:
Y- y1 = m(x - x1)
Y - 2 = 0(x - 7)
Y - 2 = 0
Y = 2
Hence, the answer to the peculiar interrogate is disclosed as 2, which is identified as where the horizontal line intersects the y-axis at (0, 2).
*I hope this helps.
the value of [{(6to the power 2+8 to the power 2)to the power 1/2}]to the power 3
Answer:
Step-by-step explanation:
[tex][(6^{2}+8^{2})^{\frac{1}{2}}]^{3} = [(36+64)^{\frac{1}{2}}]^{3}\\\\= [(100)^{\frac{1}{2}}]^{3}\\\\= 10^{3}\\\\= 1000[/tex]
PLS DO THIS ASAP
no links
Answer:
SPEED ANSWER!!!!
DDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDDD!!!!!!!!!!Given that x= –1/2 and y = 4 , evaluate 3x²y + xy²
Answer:
-5
Step-by-step explanation:
3x²y + xy²
Let x = -1/2 and y = 4
3(-1/2)^2 (4) + (-1/2) (4)^2
Exponents first
3(1/4) (4) + (-1/2) 16
Multiply
3 - 8
Subtract
-5
Answer: [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd\huge \boldsymbol {-5}[/tex]
Step-by-step explanation: simplify it [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} 3x^2y+xy^2=xy(3x+y)[/tex] evalute [tex]\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\\la\la\la\la\ddddddddddddddddddddddddddddddddcleverdddddd\ffffffffffffffffffffffffffffffffffffffff\pppppppppppppppppppppppppppppppppppp\ddddddddddddddddddd \displaystyle\ \Large \boldsymbol{} -\frac{1}{2} \cdot 4 (-3\cdot \frac{1}{2}+4)=-2\!\!\!\!\diagup\cdot\frac{5}{2\!\!\!\!\diagup} =\boxed{-5}[/tex]
what is the solution to this?
Answer:
x = -3,y = 2
Step-by-step explanation:
3x-2y = -13
4x-3y = -18
~~~~~~~~~~~~~~~~
9x -6y = -39
-8x+6y = 36
x = -3
-12 -3y = -18
-3y = -6
y = 2
Independent Practice
Find the number of solutions of the equation.
0 = x2 + 2x + 9
A.
3
B.
2
C.
1
D.
0
Answer:
Option D
Step-by-step explanation:
There are no real solution for the given equation
Answered by GAUTHMATH
Identify the domain of a radical function with an odd index.
Answer:
A odd index can go to " - infinity "
Step-by-step explanation:
Chang has 2 shirts: a white one and a black one. He also has 2 pairs of pants, one blue and one tan. What is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants? Show your work.
Answer:
The probability that Chang gets dressed with a white shirt and tan pants is 25%.
Step-by-step explanation:
Given that Chang has 2 shirts, a white one and a black one, and he also has 2 pairs of pants, one blue and one tan, to determine what is the probability, if Chang gets dressed in the dark, that he winds up wearing the white shirt and tan pants the following calculation must be performed:
Each shirt = 50% chance
Each pants = 50% chance
0.50 x 0.50 = X
0.25 = X
Therefore, the probability that Chang gets dressed with a white shirt and tan pants is 25%.
Let R={0, 1, 2, 3} be the range of h(x) = x - 7. The domain of h inverse is_____.
{-7, -6, -5, -4}
{7, 8, 9, 10}
{0, 1, 2, 3}
Answer:
{-7,-6,-5,-4}
Step-by-step explanation:
Answer:
thats not correct answer thats an odyssey question and i just tried the answer and its not right just wanted everybody to know
Step-by-step explanation:
Use the given conditions to write an equations for the line in slope- intercept form. passing through (1,-8) and (-7,8)
Answer:
y = -2x - 6
Step-by-step explanation:
Going from the first point to the second, we see x decreasing by 8 from 1 to -7 (this is the 'run') and y increasing by 16 from -8 to +8 (this is the 'rise'). Thus, the slope of the line through these two points is m = rise/run = 16/(-8) = -2.
Using the point-slope formula y - k = m(x - h) and the point (1, -8), we get:
y + 8 = -2(x - 1), or
y = -8 - 2x + 2, or
y = -2x - 6 (in slope-intercept form)
If a ramp is 17 feet long rises 8 feet above the floor and covers a horizontal distance of 15 feet what is the ratio of _____ to ____ is equal to San B.
In the given question, it is given that ramp is 17 feet long, rises 8 feet above the floor, and covers a horizontal distance of 15 feet.
And we have to find the value of tan B.
And tangent of any angle is equal to the ratio of vertical by horizontal. That is:
tanB=8/15
And that's the required missing ratio for tan B.
Answer:
The ratio of sin b to cos b is equal to tan B.
Step-by-step explanation:
Correct for plato
Find the measure of 2
Answer:
92
Step-by-step explanation:
Angle 2 and 92 are corresponding angles and corresponding angles are equal when the lines are parallel
Answer:
[tex]\angle 2=92^{\circ}[/tex]
Step-by-step explanation:
When two parallel lines are cut by a traversal, their corresponding angles are always equal. Corresponding angles can be found if you took each point of intersection and aligned them up with each other.
In this case, we see that [tex]\angle 2[/tex] and the angle marked as 92 degrees correspond with each other. Since all corresponding angles are equal, we have:
[tex]\angle 2=\boxed{92^{\circ}}[/tex]
The simple interest formula is I = Prt, where I represents simple interest on an amount, P, for t years at a rate of r, where r is expressed as a decimal.
What is the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years?
$60
$80
$90
$100
Answer:
80
Step-by-step explanation:
I = Prt
I = 40 R = .10 T = 5
40 = P (.10)(5)
40 = P(.5)
Divide each side by .5
40/.5 = .5P/.5
80 = P
The interest over 5 years is $80.
The correct option is B.
What is the simple interest?Simple interest is the borrowing amount added only to the principal amount.
The Formula to calculate the simple interest is;
S.I. = P x T x R / 100,
Where S.I. is simple interest, P is the principal amount, T is the time period and R is the interest rate in a year.
We can use the formula I = Prt to solve for P. We know that I = 40, r = 0.10, and t = 5. Substituting these values, we get:
40 = P(0.10)(5)
Simplifying:
40 = 0.5P
Dividing both sides by 0.5:
P = 80
Therefore, the amount of money, P, that will generate $40 in interest at a 10% interest rate over 5 years is $80.
To learn more about the simple interest; https://brainly.com/question/25845758
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A runner covers the last straight stretch of a race in 3 s. During that time, he speeds up from 5 m/s to 11 m/s.What is the runner's acceleration in this part of the race?
Answer:
From first Newton's equation of motion:
[tex]{ \bf{v = u + at}}[/tex]
Substitute the variables:
[tex]{ \tt{11 = 5 + (a \times 3)}} \\ { \tt{3a = 6}} \\ { \tt{a = 2 \: {ms}^{ - 2} }}[/tex]
Acceleration is 2 ms-²
Bruno is 4.5 times as old as Charles if Bruno is 27 how old is Charles
Answer:
6
Step-by-step explanation:
Bruno(B)= 4.5× Charles(C)
Answer:
Charles is 6
Step-by-step explanation:
Bruno = B
Charles = C
B = 4.5C
27 = 4.5C
---- -------
4.5 4.5
6 = C
The answer is 6.
Please hurry I will mark you brainliest
What is the equation of the line through the point (2, 3) with slope -2?
Answer:
y=-2x+7
Step-by-step explanation:
Try plotting the points on desmos. Then use the slope to find the y value.