Answer:
x=3,5
Explanation:
x2−8x+15=0
Try to express the terms of the equation in square form.
Adding 16 both sides of the equation,
(x2−2⋅x⋅4+42)+15=16
or,(x−4)2+15−16=0
or,(x−4)2−1=0
or,(x−4)2−12=0
This is the a2−b2=(a+b)(a−b)form.
(x−4+1)(x−4−1)=0
or,(x−3)(x−5)=0
Now, equate both the terms to zero since both of them when multiplied, give zero.
Either,
x−3=0
∴x=3
Or,
x−5=0
∴x=5
Ans:x=3,5 Hope this helpsXD...!!
Answer:
3<x<5
Step-by-step explanation:
an Univariate quadratic polynomial can be divided into the product of two first order equations
In this example, x2 - 8x + 15 = (x-3) * (x-5) <0
as a result. the answer is 3< x <5
Six comics are to perform on a single evening. Find the probability
Answer:
1 in 6
Step-by-step explanation:
The volume of a right circular cone is 300 cubic inches. What is the volume, in cubic inches, of a right cylinder that
has the same base and height as the cone?
Answer:
The volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.
Step-by-step explanation:
Given that,
The volume of a right circular cone is 300 cubic inches
We need to find the volume of a right cylinder that has the same base and height as the cone.
Volume of a cone is given by :
[tex]V=\dfrac{1}{3}\pi r^2h[/tex]
And volume of a cylinder is given by :
[tex]V'=\pi r'^2 h'[/tex]
If the base and height of cone and cylinder are same, r=r' and h=h'
[tex]\dfrac{V}{V'}=\dfrac{1/3\pi r^2 h}{\pi r'^2h'}\\\\=\dfrac{1/3\pi r^2 h}{\pi r^2h}\\\\\dfrac{V}{V'}=\dfrac{1}{3}\\\\V'=3V[/tex]
So, the volume of a right cylinder is equal to the 3 times of the volume of a right circular cone.
Jennifer is renting a bicycle to ride along the beachfront. The rental charges include a fixed charge of $3 and an additional cost of $1.75 per hour. Which equation represents the total rental charges for the bicycle, T, if Jennifer rents it for n hours?
Answer:
y = 1.75n + 3
Step-by-step explanation:
Answer:
1.75+3=t
Step-by-step explanation:
what does x equal in the equation f(x)=17
15. Construct Arguments Maggie said that
she could add 8 to both sides of any
equation and the expressions on both sides
of the equation would still be equal. Do you
agree? Explain.
Answer:
I do not agree because if there is an equation like 7+8 the answers would not be equal. They can only be equal if you add 8 to each side of the same number. For example, 7+7 with 8 added on both sides would be equal. But Maggie says that it can be equal for any equation. Therefore, Maggie is wrong.
Step-by-step explanation:
what is the best partial quotient to 296dividedby4
What is the slope of the line that passes through (2,12) and (4,20)
A- -2
B-2
C- -4
D-4
Answer:
D. 4
Step-by-step explanation:
Use rise over run, (y2 - y1) / (x2 - x1)
Plug in the points:
(y2 - y1) / (x2 - x1)
(20 - 12) / (4 - 2)
8 / 2
= 4
So, the slope is 4.
Nicole earned a total of $6 by selling 2 cups of lemonade. After selling a total of 24 cups of lemonade, how much money will Nicole have made in all
She would have made $72
Each cup of lemonade is $3, so 3x24 is 72. Or you could just do 6x12, it's all the same.
if x is 12% of 180, then what is the value of 7x ?
Answer:
7uby-step explanation:
A linear function is written:
f(x) = 3/2x-4
What is the value of f(5)?
Answer:
[tex]f(5)=3.5[/tex]
Step-by-step explanation:
[tex]f(x)=\frac{3}{2}x-4\\f(5)=\frac{3}{2}(5)-4\\f(5)=7.5-4\\f(5)=3.5[/tex]
Hope this helped!! Have an amazing day :D
The required value of the linear function at x = 5 is 7 / 2.
Given that, a linear function f(x) = 3/2x-4 we have to determine the value of the function at x = 5 that is f(5).
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
What are functions?Functions are the relationship between sets of values. e g y=f(x), for every value of x there is its exists in a set of y. x is the independent variable while Y is the dependent variable.
Here,
Liner function,
f(x) = 3/2x-4
Put x = 5 in above function,
f(5) = 3 * 5 / 2 - 4
f(5) = 15 / 2 - 4
f(5) = 15 - 8 / 2
f(5) = 7 / 2
Thus, the required value of the linear function at x = 5 is 7 / 2.
Learn more about simplification here: https://brainly.com/question/12501526
#SPJ2
Find the slope of the roofof a home that rises 8 feet for every horizontal change of 24 feet
A.-3
B.-1/3
C.1/3
D.3
Answer:
(C).
Step-by-step explanation:
[tex]\frac{8}{24}[/tex] = [tex]\frac{1}{3}[/tex]
Answer:
1/3
Step-by-step explanation:
8/24
=1/3
Tell me if it's wrong
ITS EASY I PROMISE PLEASE NOW
Answer:
I'm pretty sure the answer is B
Step-by-step explanation:
Hope this helped :) Sorry if its wrong
Answer:
b
Step-by-step explanation:
I like to think of it as this:
If the circle is filled, it is [tex]\leq or \geq \\[/tex] (more)
If not, it's < or >
The arrow points in the direction the line is going.
In this graph, the line is going to the left. So is the symbol.
please help on this question!!!!
1/4(x-2)+4=12 help please
Answer:
X = 34
Step-by-step explanation:
At a neighborhood cookout,
the ratio of children to adults
is 7:2. If there are 10 adults,
how many Total people are at
the cookout?
Answer:
45 people
Set up a proportion.
7/2 = x/10
cross multiply
We get 2x=70
x= 35
Children= 35
35 children + 10 adults= 45 people
9. The expression x(x-7)+4(x-7) is equivalent to each of the following except which choice?
(1) (x+4)(x-7)
(3) x2-28
(2) x2 – 3x – 28
(4) (x-7)(x+4)
Answer:
I the answer is number 3
x(x-7)+4(x-7)
x²-7x + 4x-28
=x²-3x-28
(x+4)(x-7)
x²-7x+4x-28
=x²-3x-28
(x-7)(x+4)
x²+4x-7x-28
=x²-3x-28
x2 – 3x – 28
the factored form is
=(x+4)(x-7)
use first principle tan(3x-4)
Answer: m=3
Step-by-step explanation:
Find the Surface Area:
Of the picture below
6cm
3 cm
3 cm
2 cm
Answer:
72 cm^2 OR 72 sq cm.
Step-by-step explanation:
6 x 5 = 30
10 x 3 = 30
2 x 6 = 12
30 + 30 + 12 = 72
Sorry, i don't exactly know how to explain it without drawing it. But i assure you it is correct.
Cherry is a realtor. She made the graph below to show the amount of taxes paid on the houses she has sold. Which of the following describes the rate at which the taxes changed?
It increased by $3 for every $2 increase in appraised value.
It increased by $200,000 for every $3,000 increase in appraised value.
It increased by $3,000 for every $200,000 increase in appraised value.
It increased by $3,000 for every $2,000 increase in appraised value.
Units of Length
Write a conversion factor that you would use to convert
from feet to meters.
Customary System
Units
Metric System Units
new units of measure
original units of measure
1 inch
2.54 centimeters
numerator =
1 foot
0.3048 meters
denominator =
1 mile
1.61 kilometers
Intro
Done
Answer:
1 foot = 0.3048 meters
Step-by-step explanation:
1 foot = 12 inches
1 inch = 2.54 centimeters
1 foot = 12 * 2.54 = 30.48 centimeters
1 meter = 0.01 centimeters
1 foot = 0.3048 meters
Answer:
numerator =
✔ 0.3048 meters
denominator =
✔ 1 foot
Step-by-step explanation: I got it right
10) Christopher misses 4% of the free throws
he attempts in a season. How many total
free throws did he attempt if he missed 9?
Answer:
He attempted 225 free throws.
Step-by-step explanation:
9/0.04= 225
Bob has a coin collection made up of pennies and nickels. If he has three times as many pennies as nickels and the total face value of the coins is $416, how many coins of each kind are in the collection?
Answer:
I think its 15600..
Step-by-step explanation:
There is a playground behind Jayden’s school where kids go outside for recess. The playground is 85 feet wide and 236 feet long. Jayden is curious if the playground has an area of more or less than 20,000 square feet. Does it? Show and explain how you know.
Answer:
Yes
Step-by-step explanation:
A = L x W
A = 236 x 85
A = 20,060
20,060 is more than 20,000 so yes
A market research firm supplies manufacturers with estimates of the retail sales of their products from samples of retail stores. Marketing managers are prone to look at the estimate and ignore sampling error. An SRS of 28
stores this year shows mean sales of 64 units of a small appliance, with a standard deviation of 13.8 units. During the same point in time last year, an SRS of 28 stores had mean sales of 48.958 units, with standard deviation 15.4 units. An increase from 48.958 to 64 is a rise of about 24%.
1. Construct a 99% confidence interval estimate of the difference μ1−μ2
μ1−μ2, where μ1 is the mean of this year's sales and μ2 is the mean of last year's sales.
(b) The margin of error is
2. At a 0.01 significance level, is there sufficient evidence to show that sales this year are different from last year?
Answer:
Confidence interval = (4.61972, 25.46428)
Margin of Error = 3.9078675
Step-by-step explanation:
Given that :
This year:
Mean (μ1) = 64
Standard deviation (s1) = 13.8
Sample size (n1) = 28
Last year:
Mean (μ2) = 48.958
Standard deviation (s2) = 15.4
Sample size (n2) = 28
99% confidence interval estimate of the difference μ1−μ2
α = 1 - 99% = 0.01
(μ1−μ2) ± t0.01,27 * (√s1²/n1 + s2²/n2)
t0.01, 27 = 2.770683 (t value calculator)
√s1²/n1 + s2²/n2 = √13.8^2/28 + 15.4^2/28 = 3.9078675
(64 - 48.958) ± 2.667(3.9078675)
15.042 ± 10.42228
(15.042 - 10.42228), (15.042 + 10.42228)
(4.61972, 25.46428)
The margin of error :
√(s1²/n1) + (s2²/n2)
√(13.8^2/28) + (15.4^2/28)
√(6.8014285 + 8.47)
√15.2714285
= 3.9078675
1 ball of wool is 125m, how many balls are there with 604m??
Answer:
4.8 balls of wool
Step-by-step explanation:
604÷125=4.8
How many gallons of 40% antifreeze should be mixed with 10 gallons of 80% antifreeze to obtain a 65% antifreeze mixture?
Equation:
alcohol + alcohol = alcohol
0.40x + 0.85*10 = 0.65(x+10)
----
40x + 85*10 = 65x + 65*10
20*10 = 15x
-----
x = (2/3)20
---
x = 13 1/3 gallons (amt. of 40% solution needed)
Solve each system by substitution.
11) 3x - y = 20
y=-2
Answer:
lol you stupid how do you not know
Step-by-step explanation:
lol
What percent is equal to 19 out of 32?
Answer:
59.375%
Step-by-step explanation:
Convert fraction (ratio) 19 / 32 Answer: 59.375%
(Now, can u help me??)
In which of the following situations would using the Pythagorean theorem be helpful?
a contractor wanting to determine how high to build a staircase
a contractor wanting to determine if a corner is square
an architect wanting to determine how high a roof should be
an architect wanting to determine a stair railing height
Answer:
A
Step-by-step explanation:
If you were to use the substitution method to solve the following system, choose the new equation after the expression equivalent to x from the first equation is substituted into the second equation. x + 4y = −9 2x + 5y = −6 (6 points) Question 2 options: 1) 2x + 5(4y − 9) = −6 2) 2x + 5(−4y − 9) = −6 3) 2(4y − 9) + 5y = −6 4) 2(−4y − 9) + 5y = −6
Answer:
2(−4y − 9) + 5y = −6
Step-by-step explanation:
Just completed the Test
Answer: 1) Solve for x in the first equation: x = -6y+29
2) –6x + 29
3) Simplify and solve for the variable that remains: y = 4
4) Back substitute y = 4 and solve: x=5
4)Therefore, the solution is (x, y) = 5,4
5) x + 6y = 29 (5,4)
2x - 4y = -6 (5,4)
Step-by-step explanation: just did the assignment
