Given: JK = 3x - 5, KL = 2x + 1
The sum of the segments JK and KL will equal the length of the segment JL = 16
So we can write:
3x - 5 + (2x + 1) = 16 [JK + KL = JL]
Collect terms, solve for x:
5x - 4 = 16
5x = 20
x = 4
JK = 3x - 5 = 3*4 - 5 = 12 - 5 = 7
Ans: 7
One factor of the function f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5) Describe how to find the x-intercepts and the y-intercept of the graph of f(x) without using technologyShow your work and include all intercepts in your answer.
Answer:
x-intercept(s): (−1.9900717, 0)
y-intercept(s): (0, 52.5)
Step-by-step explanation:
To find the x-intercept, substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex]. To find the y-intercept, substitute in [tex]0[/tex] for [tex]x[/tex] and solve for [tex]y[/tex] .
[tex]f(x)=y[/tex]
[tex](x)=x[/tex]
x-intercept
To find the x-intercept(s), substitute in [tex]0[/tex] for [tex]y[/tex] and solve for [tex]x[/tex] .
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=\bold{0}=x^3-8x^2+17x-10.5\left(x-5\right)[/tex]
[tex]=0\cdot \:10=x^3\cdot \:10-8x^2\cdot \:10+17x\cdot \:10-10.5\left(x-5\right)\cdot \:10[/tex]
[tex]=0=10x^3-80x^2+170x-105\left(x-5\right)[/tex]
[tex]=0=10x^3-80x^2+65x+525[/tex]
[tex]=10x^3-80x^2+65x+525=0[/tex]
[tex]=10x^2-99.90071\dots x+263.80959\dots \approx \:0[/tex]
[tex]\bold{x\approx \:-1.99007\dots}[/tex]
y-intercept
[tex]f(x) = x ^ 3 - 8x ^ 2 + 17x - 10.5(x - 5[/tex]
[tex]=y=\bold{0}^3-8(\bold{0})^2+17(\bold{0})-10.5\left(\bold{0}-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\left(0\right)-10.5\left(0-5\right)[/tex]
[tex]=y=0-8\cdot \:0+17\cdot \:0-10.5\left(0-5\right)[/tex]
[tex]=y=0-0+0-\left(-52.5\right)[/tex]
[tex]=0-0+0+52.5[/tex]
[tex]\bold{y=52.5}[/tex]
Given the following computer output, select the correct least-squares regression line:
The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).
According to the information presented in the figure, we know the following function:
The independent variable is 'length'.The dependent variable is 'time'.The regression line is of the form: [tex]\ln y = A + B\cdot \ln x[/tex].Hence, the correct form of the regression line is:
[tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D)
The correct form of the regression line is [tex]\log time = 0.699 + 0.500\cdot \log length[/tex] (Correct choice: D).
To learn more on regression lines, we kindly invite to check this verified question: https://brainly.com/question/7656407
Answer:
D: logTime=0.699 + 0.500
Step-by-step explanation:
0.699 is the x value which can be found in data under Coef and Constant. The y value can be found under coef and log(length)
One hundred voters were asked whether they supported a bill that had
The question is cut off.
A store pays $270 for a bike and there is a 45% markup. What is the selling price (total price) of the bike?
Work Shown:
1.45*270 = 391.50
The multiplier 1.45 represents a 45% increase
Think of it as 1.45 = 1+0.45 = 100% + 45%
Answer:
391.5
Step-by-step explanation:
the 45% of $270 is $121.5
If I get payed $1.00 an hour, how much would I make for 10 minutes of work
Answer:
$0.10
Step-by-step explanation:
i could use help plz
Answer:
6.70
+26.87
33.57
Step-by-step explanation:
Couldn't explain sorry
-hope it helps
Find the value of x
Answer:
i think r would be the same as q
Step-by-step explanation:
I believe it's an isosceles triangle, if there were a line going down the center, each half should be symmetrical, so q and r are the same angle.
Answer:
32.5
Step-by-step explanation:
A triangle's angles add up to 180 degrees
(2x+15)+x+(x+35)=180
x=32.5
Jenny is a great saver! She has $80 in her savings account. She deposits $25 each week into her account. She wants to save at least $300 before she begins to withdraw money from her account. Which of the following inequalities can Jenny use to determine when she can withdraw money from her account?
Answer:
[tex]80+25x\geq 300[/tex]
Step-by-step explanation:
Since she already has 80$ in the account it will be the starting point.
To those 80$ she adds 25$/w.
Since the amount of week is what needs to be determined we'll refer to it as x.
So far we have 80 + 25x.
Now since she only wants to withdraw once she has at least 300$, it means that the amount has to be either equal to 300 or more than 300.
Which gives us [tex]80+25x\geq 300[/tex]
What is the range of the relation below?
Answer:
D is correct
Step-by-step explanation:
What is is b? 2-b/3 =-5/2
Please explain thoroughly
Answer:
I'm not sure you mean 2-(b/3) = -5/2 or (2-b)/3 = -5/2
Step-by-step explanation:
if
2-(b/3) = -5/2
12-2b = -15
12+15 = 2b
27 = 2b
27/2 = b
else
(2-b)/3 = -5/2
2(2-b) = -5×3
4-2b = -15
4+15 = 2b
19 = 2b
19/2 = b
The product of two irrational numbers is
______ rational
Answer:
The product of two irrational numbers will not be irrational.
Step-by-step explanation:
Answer:
The product of two irrational numbers will not be irrational.
Step-by-step explanation:
Ryan and Caiden both bought roses from the market. If Ryan paid $174.93 for 7 dozen roses, how much did Caiden pay for 4 dozen roses?
Will give the crown thing
What is the difference of the fractions? Use the number line to help find the answer.
1/5-3/4
○ -19/20
○ -11/20
○ 11/20
○ 19/20
Answer:
-11/20
Step-by-step explanation:
[tex]\frac{1}{5} - \frac{3}{4} = \frac{?}{?}[/tex]
first you want to get a common denominator (number on the bottom)
[tex]\frac{4}{20} - \frac{15}{20} = \frac{?}{?}[/tex]
now you can subtract the numerators (number on tope) (also don't touch bottom)
[tex]it ~equals = -\frac{11}{20} ~~because ~4-15 ~is -11[/tex]
Find the side of a rhombus if its diagonals are 14 and 48
(Use Pythagorean theorem)
Answer:
25
Step-by-step explanation:
Let,
Rhombus = ABCD
Diagonal = AC and BD
Mark its centre as O
Now,
AC = 2AO
AO = AC/2
AO = 48/2
AO = 24 cm
Also,
BD = 2BO
BO = BD/2
BO = 14/2
BO = 7 cm²
Now,
In ∆AOB
AB² = AO² + BO²
Here, AB is the side
AB² = (24)² + (7)²
AB² = 576 + 49
AB² = 625
AB = √(625)
AB = 25
whats the solution.?
Answer:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
y-(x-4)=0
STEP
1
:
Equation of a Straight Line
1.1 Solve y-x+4 = 0
Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).
"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.
In this formula :
y tells us how far up the line goes
x tells us how far along
m is the Slope or Gradient i.e. how steep the line is
b is the Y-intercept i.e. where the line crosses the Y axis
The X and Y intercepts and the Slope are called the line properties. We shall now graph the line y-x+4 = 0 and calculate its properties
Step-by-step explanation:
The plans for a shed call for a rectangular floor with a perimeter of 186 ft. The length is two times the width. Find the length and width.
Answer:
length: 62 ft
width: 31 ft
Step-by-step explanation:
Let w represent the width. Then the length is 2w and the perimeter is ...
P = 2(L+W)
186 = 2(2w +w)
31 = w . . . . . . . . . divide by 6
2w = 2(31) = 62
The length of the shed is 62 feet; its width is 31 feet.
Write g(x)=40x+4x2 in vertex form
i really need help, does anyone know these
Answer: If angle A is congruent to angle E
What is 14ab+10a written in factored form?
Answer:
2a(7b+5)
Step-by-step explanation:
yeah-ya....... right?
given f(x)=-3x^2-7x ,find f(7)
Answer:
f(7) = -196
Step-by-step explanation:
f(7) = -3(7)² - 7(7)
-147 - 49
-196
What is the temperature shown on
the thermometer?
Translate this sentence into an equation.
46 is the sum of 20 and Han's savings.
Use the variable h to represent Han's savings. I
Answer:
20+h = 46
Step-by-step explanation:
it doesn't ask to solve it so that's the answer
Answer :-
[tex]20 + h = 46[/tex]• 46 is the sum of 20 and Han's savings. .
So here Question tell that 46 is the sum of Han's Saving .Then it says that to write the equation in this sentence .
• Use the variable h to represent Han's savings.
So 20 and h = 20 + h = 46 .Hope this helps you !!Hello can anyone help me with these problems please and ty
12. x= 4
13. x= 4
14. x= -1
Check the steps in the picture above
Suppose your family lives in Muntinlupa City (one of the West Valley Fault Line area) and decided to move in to the work place of your father in Teresa, Rizal which is approximately 50 km apart, if renting a van costs an initial amount of 4000php for maximum of 30km and an additional payment of 200php for every 5km, how much will your father pay in renting a van from Muntinlupa City to Teresa, Rizal? {attach only 1 picture of your table/answer}
Step-by-step explanation:
it is 50 km in total.
30 km are already covered by the initial rental amount (4000).
what is left is 50-30 = 20 km.
for these 20 km he has to pay 200 for every 5 km.
how many 5 km units are in 20 km ?
well, 20/5 = 4
so, he needs to pay additionally 200×4 = 800php.
therefore, the total cost will be
4000 + 800 = 4800php
Sin(180-A)/tan(180-A) × cot(90-A)/tan(90+A) × cos(-A)/ cos(270-A) Please solve
so tan = me sun bathing for 2.5 second
Julie goes to the store to buy grapes. Grapes cost $1.09 per pound. Write an equation to help Julie determine the total amount, y, she will pay for a given number of pounds of grapes, x?
Answer:
y=1.09x
Step-by-step explanation:
find the value of log9 0.24. (hint: log2=0.301 log3=0.477)
Answer: -0.65 approximately
Work Shown:
[tex]\log_{9}(0.24) = \frac{\log(0.24)}{\log(9)}\\\\\log_{9}(0.24) = \frac{\log(0.03*8)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3*10^{-2}*2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)+\log(10^{-2})+\log(2^3)}{\log(3^2)}\\\\\log_{9}(0.24) = \frac{\log(3)-2\log(10)+3\log(2)}{2\log(3)}\\\\\log_{9}(0.24) \approx \frac{0.477-2*1+3*0.301}{2*0.477}\\\\\log_{9}(0.24) \approx \frac{-0.62}{0.954}\\\\\log_{9}(0.24) \approx -0.649895\\\\\log_{9}(0.24) \approx -0.65\\\\[/tex]
A taxi ride costs $3 plus $2.50 per mile. if sasha has 37 in cash,what is the greatest whole number of miles she can ride in this taxi? 25 points if done with explanation and correct answer
Answer:
13 miles is the greatest whole number of miles she can go.
Step-by-step explanation:
37-3=34
$5 for 2 miles
34/5 = 6 remainder 4
that is 12 miles. But since she still has 4 dollars left, she can go another mile. so, 12 +1 = 13
hope this helps :)
If the diameter of a circle is [tex]\sqrt{144}[/tex] then what is the radius?
Hey there!
√144
= 12^2
= 12 * 12
= 144
Therefore, your answer should be: 12
Side note: There’s many ways to find the result of the square root but I just made it “easier” to solve and tackle future problems like this on your own.
Anyways
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
WILL GIVE BRAINLIEST
Answer:
It has no solution because, 14x cancels out -14x when you move the variables to the left and leaves the equation as 0 = -12, however we know that 0 does not equal -12 which means this solution is false; therefore this equation has no solution since 0 does not equal -12.
Step-by-step explanation:
5 - 4x - 7 - 10x = -8x - 4 - 6x - 10 (Given)
-2 - 14x = -14x - 14 (Combine like terms)
0 = -12 (Move variables(x) to the left and the constants to the right)