Solve each of the following quadratic equations.
a. x^2-8x+ 15 = 0
b. 2x^2 - 5x - 6 =0
Answer:
[tex]a. \: \: x = 3 \: \: and \: 5[/tex]
[tex]b. \: \: x = \frac{5± \sqrt{73} }{4} [/tex]Step-by-step explanation:
[tex]a. \: \: \: x^2-8x+ 15 = 0 \\ {x}^{2} - 5x - 3x + 15 = 0 \\ x(x - 5) - 3(x - 5) = 0 \\ (x - 3)(x - 5) = 0 \\ x = 3 \: and \: 5[/tex]
[tex]b. \: \: 2x^2 - 5x - 6 =0 \\ x = \frac{5± \sqrt{73} }{4} [/tex]
Hope it is helpful....how long does it take jesse to accelerate from rest in his car to a velocity of 180 km/h if the car accelerates at 15 km/h/s
Answer:
I think answer is 195.Is it right make me a braillent
student.
A jar contains some number of pennies. When pennies are removed 2, 3, 4, 5, 6 or 8 at a
time, one penny is left over. There are no pennies left over when they are removed 7 at a
time. What is the least number of pennies that could be in the jar?
Answer:
721.
Step-by-step explanation:
The total number must be a multiple of 7
One less than the number is the LCM of 2 3 4 5 6 and 8.
The LCM is worked out as follows
2
3
4 = 2*2
5
6 = 2*3
8 = 2*2*2
LCM = 2*2*2* 3*5 = 120
But 121 is not divisible by 7 so it must be a multiple of 120 + 1 which is divisible by 7.
240 + 1 = 241 - not divisible by 7
480 + 1 = 481 - not divisible by 7
720 + 1 = 721
721/7 = 103
Answer:
Step-by-step explanation:
Let say n the number of pennies in the jar.
n is a multiple of 7 : n=7*k
n-1 is a multiple of 2,3,4,5,6,8 so a multiple of the lcm= 120
n-1=120*t
n-1=120*t
n=7*k
120*t=7k-1
7k=120*t+1
[tex]k=\dfrac{120*t+1}{7}\\k=17*t+\dfrac{t+1}{7}\\t=6+7*a\\k=17*(6+7a)+\frac{6+7*a+1}{7} =102+119*a+1+a=103+120*a\\n=7*k=7*(103+120*a)=721+840a\\\\[/tex]
The least number of pennies is 721 (when a=0)
Proof:
n-1=720
720/2=360
720/3=240
720/4=180
720/5=144
720/8=90
721/7=103
Need help anyone????
Solve for x: −3x − 3= −3(x + 1)
Question 4 options:
All real numbers
No solution
6
−6
Answer:
all real numbers
Step-by-step explanation:
The equation of x has No solution.
What is an equation?In mathematics, an equation is a formula that expresses the equality of two expressions by connecting them with the equal sign = .
Now the given equation is,
−3x − 3 = −3(x + 1)
Expanding the brackets we get,
−3x − 3 = −3x − 3
Collecting like terms together we get,
−3x + 3x = −3 + 3
Solving we get,
0 = 0
So, this equation has no solution.
Thus, the equation of x has No solution.
To learn more about equations here :
https://brainly.com/question/14427555
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Nikki's cousin lives 60 miles away, so Nikki decided
to take the train to visit him. If the trip took
2 hours, how many miles per hour did the train
travel?
Answer:
30
Step-by-step explanation:
just divide 60 by 2
If the distance between Nikki's cousin and Nikki is 60 miles and covered in 2 hours then the speed of the train is 30 miles per hour.
What is speed?The distance covered by the particle or the body in an hour is called speed. It is a scalar quantity. It is the ratio of distance to time.
We know that the speed formula
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Nikki's cousin lives 60 miles away, so Nikki decided to take the train to visit him. If the trip took 2 hours. Then the speed of the train will be
[tex]\rm Speed = \dfrac{60}{2}\\\\Speed = 30 \ miles/hour[/tex]
More about the speed link is given below.
https://brainly.com/question/7359669
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Solve the equation.
30- (x + 5) = 7x-7
The solution is x =
Answer:
[tex] - 30(x + 5) = 7x - 7 \\ - 30x - 150 = 7x - 7 \\ 7x + 30x = - 150 + 7 \\ 37x = - 143 \\ x = \frac{ - 143}{37} \\ x = - 3.864[/tex]
________o____o_____
30–(x+5)=7x-7
30 – x–5 =7x -7
7x+x = 30-5+7
8x = 32
x= 32/8
x=4
I hope I helped you^_^
got some math for yall
Answer:
option A is correct answer
V=s^2h/3
Find the volume of a square pyramid If ‘s’ is increased by 30% and ‘h’ remains constant
Answer:
1.69s^2h/3.
Step-by-step explanation:
New s = 1.3s
New volume = (1.3s)^2h /3
= 1.69s^2h/3.
Is the following number rational?
-.19
Use the figure below to answer these questions
Answer:
thus is so easy
Step-by-step explanation:
too easy
answer pls
-2(1-5v)=-(2-4v)
Answer:
v = 0
Step-by-step explanation:
-2 (1 - 5v) = - (2 - 4v)
Simplify the equation down to the following:
-2 + 10v = -2 + 4v
Do the inverse operation for each side:
10v = 0 + 4v
6v = 0
6v/0 = 0/0
No solution
Find the measures of
21
and
22
80°
2102°
Answer:
Angle 1 is 22°
Angle 2 is 78°
Step-by-step explanation:
Angles on a straight line always add up to 180°.
To find Angle 2, you would have to do 180° take away 102°.
180-102=78°
Angles in a triangle also add up to 180°.
So to find Angle 1, you would have to add the two Angles you already have and take it away from 180°.
80+78=158°
180-158=22°
Hope this helps :)
solve for u 2(4u-9)=14
plzzzz
will give brailiest
Answer:
4 is the answer
Step-by-step explanation:
2 (4u-9)=14
8u-18=14
8u=14+18
8u =32
divide by 8
u=4 answer
If ∠MOK and ∠JOM are supplementary angles, then what is the value of x and m∠LOK?
A.
x = 130; m∠LOK = 66°
B.
x = 50; m∠LOK = 114°
C.
x = 114; m∠LOK = 50°
D.
x = 66; m∠LOK = 130°
Answer:
B
Step-by-step explanation:
Note that angle JOM and angle LOK are vertical angles meaning that they are congruent ( equal to each other )
We are given that angle MOK and angle JOM are supplementary
Supplementary angles add up to 180
This means that:
angle MOK + angle JOM = 180
If angle JOM = angle LOK
Then angle MOK + angle LOK also = 180
If angle MOK = 66 and angle LOK = x + 64
Then 66 + x + 64 = 180
Note that we've just created an equation that we can use to solve for x
We now solve for x
66 + x + 64 = 180
Combine like terms
66 + 64 = 130
130 + x = 180
Subtract 130 from both sides
x = 50
We also want to find the measure of angle LOK.
To do so we simply plug in the value of x into x + 64
angle LOK = x + 64
x = 50
angle LOK = 50 + 64 = 114
So x = 50 and angle LOK = 114
Hence the answer is B
THE father is 20 years older than his son five years ago he was three times as old as his son was find their present ages (STEP BY STEP PLZ) (HOPE U ENJOY IT)
PLEASE HELP ME!!!!!!
Is the mean greater than, less than, or equal to the median? Explain your reasoning.
Answer:
equal to
Step-by-step:
Again, the mean reflects the slanted the most.
To summarize, generally if the distribution of data is slanted to the left, the mean is less than the median, which is often less than the mode. If the distribution of data is slanted to the right, the mode is often less than the median, which is less than the mean.
Answer:
Equal
Step-by-step explanation:
The median is the midmoint of all points (as many values below as above this value). The mean is the (sum of values) / (count of values). Since every value has the exact same count, the mean and median will be the same.
Given the points A(-1, -2), B(-1, 2) and C(6,0), use the distance formula to
classify the triangle
by its sides.
HELP MARKING BRAINLIEST EXTRA POINTS !!
explain how you would find the perimeter and area of the quadrilateral shown on the coordinate grid what does the slope of the segments that are what sides of the figure have to do with classifying the quadrilateral.
Answer:
The quadrilateral is a rectangle[tex]Perimeter=8\sqrt{2} \,\,Unit[/tex][tex]Area=6\,\,sq.unit[/tex]Step-by-step explanation:
Given,
[tex]A=(0,0)\\B=(1,1)\\C=(4,-2)\\D=(3,-3)[/tex]
Now,
[tex]Slope\,\,for\,\,AB=\frac{1-0}{1-0} =1\\\\Slope\,\,for\,\,CD=\frac{-3+2}{3-4} =1\\\\Slope\,\,for\,\,AD=\frac{-3-0}{3-0} =-1\\\\Slope\,\,for\,\,BC=\frac{-2-1}{4-1} =-1\\\\So,AB||CD\,\,and\,\,AD||BC[/tex]
[tex]AB=\sqrt{(1-0)^2+(1-0)^2}=\sqrt{2}\\BC=\sqrt{(4-1)^2+(-2-1)^2}=3\sqrt{2}\\CD=\sqrt{(3-4)^2+(-3+2)^2}=\sqrt{2}\\AD=\sqrt{(3-0)^2+(-3-0)^2}=3\sqrt{2}\\\\So,\,\,AB=CD,AD=BC\\The\,\,quadrilateral\,\,is\,\,a\,\,rectangle[/tex]
[tex]Perimeter=2*(AB+AD)=2*(BC+CD)\\=2*(\sqrt{2}+3\sqrt{2})=8\sqrt{2} \,\,Unit[/tex]
[tex]Area=AB*AD=BC*CD=\sqrt{2} *3\sqrt{2}=6\,\,sq.unit[/tex]
Hope you have understood this.....
ask me if you have any confusion.....
if you liked it pls mark it as the brainliest
if x:14= 1:7, find x. P
Answer:
2
Step-by-step explanation:
x:14 = 1:7
x/14 = 1/7
x = 14/7
=> x = 2
i have no idea how to solve this help
Answer:
Length(L) = y
perimeter of square = 4L
since L = y
so perimeter of square is 4y
Can someone help me on this please.
The area of a cuboid = 2 (lb + bh + lh) and volume = l*b*h. Find the area and volume of these cuboids.
I) l =7 cm,b= 5 cm,h=3 cm
please help me with this question step by step I have to submit it in 10. minutes I will mark you as brainlist
Answer:
Area = 142 cm^2, Volume = 105 cm^3
BRAINLIEST, PLEASE! (ALMOST AN ACE!)
Step-by-step explanation:
Area: lb + bh + lh
l = 7, b = 5, h = 3
2((7)(5) + (5)(3) + (7)(3))
2(35 + 15 + 21)
2(50 + 21)
2(71)
142 cm^2
Volume: lbh
l = 7, b = 5, h = 3
(7)(5)(3)
35(3)
105 cm^3
1. Identify the terms in the expression
1.3x - 2.7x2
-
5.4x + 3
50 points whoever aswners it
Answer:
- and+
Step-by-step explanation:
Answer:
1.3x, -2.7, x^2 (x squared), -5.4x, +3 are the terms. hope this helps
Step-by-step explanation:
- Zombie
5x - 7.4 (x - 3) + 8.1
Answer:
-2.4x + 30.3
Step-by-step explanation:
5x - 7.4 (x - 3) + 8.1
5x - 7.4x + 22.2 + 8.1
-2.4x + 30.3
A bag has 14 yellow marbles and 4 red marbles. Half of the red marbles are made of glass. A marble is selected at random from the bag. What is the probability that it is a red, glass marble?
Answer:
2/18, or 1/9
Step-by-step explanation:
Lets start by finding out how many red, glass marbles there are.
Half of the red marbles of glass, and there are four red marbles. All we need to do is divide 4 by 2.
4/2=2
There are two glass marbles.
Now we just need to add the number of red marbles to yellow marbles. That would be 14+4, which is 18.
In conclusion, there are 2 red marbles, and 18 marbles in total, so it would be 2/18. Simplified, it would be 1/9.
23. The table shows the number of hours a group of friends
worked doing various jobs and the amount each earned.
Select the correct hourly rate to complete the table. Then
place a checkmark in the row for the person who had the
greatest hourly rate.
Hours
Amount Earnings Greatest
Worked Earned (s) per hour ($) Hourly Rate?
36.25
Caleb
5
Jeremy
7.5
65.25
Maria
4.25
34.00
Rosa
8
54.00
Plz Help!!
Kim is planning to rent a bike. It costs $15 per day plus $5 per hour. Kim's total bill was $100, how many hours did she rent the bike?
Answer:
17 hours
Step-by-step explanation:
total cost = fee + cost per hour * hours
100 = 15 + 5h
Subtract 15 from each side
100-15 = 5h
85 = 5h
Divide by 5
85/5 = 5h/5
17 =h
Answer:
Kim rent the bike for 17 hours.
Step-by-step explanation:
h=hours
15 + 5h = 100
Subtract 15 on both sides.
5h = 85
Divide 5 on both sides.
h = 17
5x-4[7+(2x-4)], for x=-3
with shown work please
Answer: -3
Concept:
Here, we need to understand the idea of evaluation.
When encountering questions that gave you an expression with variables, then stated: "If x = a, y = b, z = c" (a, b, c are all constants), this means you should substitute the value given for each variable back to the expression.
Solve:
Given information
x= -3
Given expression
5x - 4 [7 + (2x - 4)]
Substitute x value into the expression
=5(-3) - 4 [7 + (2(-3) - 4)]
Simplify by multiplication
=-15 - 4 [7 + (-6 - 4)]
Simplify value in parentheses
=-15 - 4 [7 + (-10)]
Simplify value in bracket
=-15 - 4 [-3]
Simplify by multiplication
=-15 - (-12)
=-15 + 12
=[tex]\boxed{-3}[/tex]
Hope this helps!! :)
Please let me know if you have any questions
If the perimeter of a rectangle
is 124m & the width is 35m,
what is the length?
Let length be x
ATQ
[tex]\\ \sf\longmapsto 2(Length+Width)=124[/tex]
[tex]\\ \sf\longmapsto 2(x+35)=124[/tex]
[tex]\\ \sf\longmapsto 2x+70=124[/tex]
[tex]\\ \sf\longmapsto 2x=124-70[/tex]
[tex]\\ \sf\longmapsto 2x=54[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{54}{2}[/tex]
[tex]\\ \sf\longmapsto x=27m[/tex]