complete the square for the equation 3x2 - 5x = 2
Answers
3
2
−
5
=
2
3x^{2}-5x=2
3x2−5x=2
Factor
1
Move terms to the left side
3
2
−
5
=
2
3x^{2}-5x=2
3x2−5x=2
3
2
−
5
−
2
=
0
3x^{2}-5x-2=0
3x2−5x−2=0
2
Use the sum-product pattern
3
2
−
5
−
2
=
0
3x^{2}{\color{#c92786}{-5x}}-2=0
3x2−5x−2=0
3
2
+
−
6
−
2
=
0
3x^{2}+{\color{#c92786}{x}}{\color{#c92786}{-6x}}-2=0
3x2+x−6x−2=0
3
Common factor from the two pairs
(
3
2
+
)
+
(
−
6
−
2
)
=
0
(3x^{2}+x)+(-6x-2)=0
(3x2+x)+(−6x−2)=0
(
3
+
1
)
−
2
(
3
+
1
)
=
0
Answer:
4/5
Step-by-step explanation:
See image below:)
Related Questions
Triangle ABC has vertices A(-2,0), B(2,5), C(3, 1). The reflection of the image of triangle ABC is triangle A'B'C' with vertices A(-2,0), B12, -5), C73.
-1). What is a rule that describes the reflection?
Answers
Answer: Reflection about x-axis
Step-by-step explanation:
Given
Initially, vertices are [tex]A(-2,0), B(2,5),C(3,1)[/tex]
After reflection they become [tex]A(-2,0),B(2,-5),C(3,-1)[/tex]
It is clear that the x coordinate remains unchanged and the y coordinate changes its sign. It occurs when reflection is done about the x-axis.
For example, when (a,b) is reflected about the x-axis, it becomes (a,-b).
So, here reflection is being done about the x-axis.
how many ways can you arrange 28
Answers
Answer:
In 6 ways 28 can be arranged
Step-by-step explanation:
1 × 28 = 28
2 × 14 = 28
4 × 7 = 28
7 × 4 = 28
14 × 2 = 28
28 × 1 = 28
Thus, In 6 ways 28 can be arranged
-TheUnknownScientist
Give a brief definition of the term population.
a prediction of the entire collection of individuals about which information is required
a prediction about a subset of the entire collection of individuals about which information is required
a subset of the entire collection of individuals or objects about which information is required, selected for study in some prescribed manner
the entire collection of individuals or objects about which information is required
Answers
Answer:
The term population refers to the total number of organisms/people occupying specific area is known as population.
The circumference of a circle is 10 cm. What is the Radius of the circle
Answers
Answer:
The radius is 5
Step-by-step explanation:
The radius is half the circumference. Therefore, 10 ÷ 2 = 5.
Answer:
5
Step-by-step explanation:
I belI've it would be 5 um yea
have a great day
A computer program randomly selects a month of the year. What is the sample space for this experiment?
Answers
Answer:
The sample space of a random experiment is the collection of all possible outcomes. An event associated with a random experiment is a subset of the sample space. The probability of any outcome is a number between 0 and 1.
Step-by-step explanation:
Can someone help me with this?
Answers
Answer:
d and e
Step-by-step explanation:
Find the mean of the picture below?
Answers
A cooler shape of a rectangular prism. What is the volume of the cooler? Round to the nearest tenth if necessary.
Answers
Answer:
Volume of the cooler = 2,772 in³
Step-by-step explanation:
Volume of the cooler = length × width × height
Length = 22 in
Width = 12 in
Height = 10 1/2 in
= 21/2
= 10.5 in
Volume of the cooler = length × width × height
= 22 in × 12 in × 10.5 in
= 2,772 in³
Volume of the cooler = 2,772 in³
PLEAASE HEELP! Will mark brainly!!!
Answers
On February 18, from 9 a.M. Until 2 p.M., the temperature rose from -14°F to 36°F. What was the total increase in temperature during this time period?
Answers
Answer: 50 degrees
Step-by-step explanation:
36 - - 14
36 + 14 = 50
Help please please help me I really really need help
Answers
Answer:
(-3, -2)
Step-by-step explanation:
To find the solution of two functions, you need to know at which x and y value they are equal. So solve for x and y when 1/3x - 1 = 2x + 4
1/3x - 1 = 2x + 4
First, subtract 2x from both sides.
-5/3x - 1 = 4
Add one to both sides.
-5/3x = 5
Multiply both sides by the reciprocal of -5/3 (3/-5)
x = -3
Then, substitute x into one of the equations to get y.
1/3(-3) - 1
-1 - 1 = -2
So drag the dot to the point (-3, -2)
PQR has vertices at P(-10, 8), Q(0, -6),
and R(8, 7). If PQR is dilated by a scale
factor of 3/4, what is the perimeter of
P'Q'R'?
If necessary, round your answer to the
nearest hundredth. *
Answers
Answer:
please apply the formula of distance
l think but not sure
I need help cand someone help me find this answer
Answers
Answer:
725.7 m²
Step-by-step explanation:
A=2πrh
r=16 1/2 ÷ 2 = 8 1/4
A= 2π(8.25)(14)=725.7
My brainy brother and sister added their ages together and got 15. When they multiplied their ages together, they got 54. How old is the older one between the two of them?
Answers
Given:
Sum of ages of brother and sister = 15
Product of their ages = 54
To find:
How old is the older one between the two of them?
Solution:
Let x be the age of brother and y be the age of sister.
Sum of ages of brother and sister = 15
[tex]x+y=15[/tex]
[tex]x=15-y[/tex] ...(i)
Product of their ages = 54
[tex]xy=54[/tex]
[tex](15-y)y=54[/tex] [Using (i)]
[tex]15y-y^2=54[/tex]
[tex]0=54-15y+y^2[/tex]
Splitting the middle term, we get
[tex]54-15y+y^2=0[/tex]
[tex]54-9y-6y+y^2=0[/tex]
[tex]9(6-y)-y(6-y)=0[/tex]
[tex](6-y)(9-y)=0[/tex]
Using zero product property, we get
[tex](6-y)=0\text{ and }(9-y)=0[/tex]
[tex]y=6\text{ and }y=9[/tex]
If [tex]y=6[/tex], then using (i), we get
[tex]x=15-6[/tex]
[tex]x=9[/tex]
If [tex]y=9[/tex], then using (i), we get
[tex]x=15-9[/tex]
[tex]x=6[/tex]
Therefore, the age of older one is 9, the age of younger one is 6 and the difference between their ages is 3.
A piece of string is 325 centimeters long. You need the string to be 1 and 1 and 4 meters long. How many centimeters should you cut off?
Answers
Here's link[tex]^{}[/tex] to the answer:
bit.[tex]^{}[/tex]ly/3gVQKw3
SNACKS The face of the popcorn box can be modeled with an isosceles trapezoid with QR=3x+2.5, RS=9x−4.8 , ST=4x−2 , and QT=6x+1.2.
Answers
Answer:
TQ=SR [since it is isosceles trapezoid]
6x+1.2=9x-48
48+1.2=9x-6x
3x=49.2
x=49.2/3=16.4
now
QR=3×16.4+2.5=51.7
SR=9×16.4-48=99.6
ST=4×16.4-2=63.6
TQ=6×16.4+1.2=99.6
As it's isosceles trapezoid
QT=RS9x-4.8=6x+1.23x=6x=2Now
QR=3(2)+2.5=8.5
RS=9(2)-4.8=13.2
ST=4(2)-2=6
QT=6(2)-1.2=10.8
Find The Missing Lenght of the right triangle. Round to The Nearest
Answers
Answer:
b ≈ 8.49
Step-by-step explanation:
A^2 + b^2 = c^2. (Pythagorean theorem)
c is the hypotenuse or the longest side of a triangle.
a and b are the other 2 sides.
17^2 + b^2 = 19^2
289 + b^2 = 361
289 + b^2 - 289 = 361 - 289
b^2 = 72
b ≈ 8.49
Have a great day!
HELP PLS!!!
Consider the function f(x). Select all of the following that include a horizontal compression of f(x).
A) 2f(x)
B) f(3x)
C) -f(x)+1
D) f(0.4x) - 1
E) f(6x) +9
F) -f(0.12x)
Answers
Answer: B, E
Step-by-step explanation:
Solve the Simultaneous Equations: a - b = 3
Answers
Answer:
it could be 4-1=3 but i would do 10-7=3
Step-by-step explanation:
find the value of x in the triangle shown below 4 9
Answers
Answer:
the answer is 65
Step-by-step explanation:
hopes this helps :)
Find the area. Simplify your answer
Answers
Answer:
man you still have to use IXL
Step-by-step explanation:
What is 2 x 1,000 + 6 x 100 + 5 x 10 + 3 x 1 in standard form?
Answers
Answer:
Step-by-step explanation:
2006053?
Answer:
2,000 + 600 + 50 + 3 = 2,653
Step-by-step explanation:
7) The ratio of boys to girls in a class is 2:3. If there are 18 boys in the class, how
many girls are in that class?
Answers
Answer:
27
Step-by-step explanation:
Boys to girls is 2:3
and there are 18 boys so that means the 2 in 2:3 is actually 18
and 2 x 9 = 18 , so you would need to also multiply 3 by 9.
3 x 9 = 27
18:27
there are 27 girls
Find the mean, median, and interquartile for the data set below.
17, 23, 8,5,9,16, 22, 11, 13, 15, 17, 18
Answers
Answer:
The Mean 14.5 and the Median is 15
Step-by-step explanation:
For the Mean you just add all the numbers up and divide on how many you have. And the Median the middle
Answer:
Below in bold.
Step-by-step explanation:
First arrange in ascending order:
5 8 9 11 13 15 16 17 17 18 22 23
Median = mean of the middle 2 values = (15+16)/2 = 15.5.
Mean = Sum of all the values / 12 = 174/12 = 14.5.
Interquartile range = upper quartile - lower quartile = 17 - 11 = 6.
What is the
range of the function on the graph?
Answers
solve the following inequality algebraically
Answers
-7
25 p ² + 70p+49=0
Answer please
Answer please
Answers
Step-by-step explanation:
25 p² + 70p +49=0
(5p + 7)(5p + 7) = 0
(5p + 7) =0
5p = -7
so, P = -7/5
According to this diagram, what is tan 62°?
A 17/15
B 8/17
C 15/17
D 8/15
E 17/8
F 15/8
Answers
Tangent is Opposite/Adjacent so 15/8
Hope this helps! :)
a) Complete the table of values for x + y = 6
X
-2
-1
0
1
3
N
у
Answers
Step-by-step explanation:
Given equation is x+y=6
Table:-[tex]\boxed{\begin{array}{c|c|c}\bf x &\rm 3 &\rm 2 &\rm 1\\ \bf y &\rm 3 &\rm 4 &\rm 5\end{array}}[/tex]
PLSS HELP: Find the value of w
Answers
Answer:
[tex] \frac{9}{w} = \frac{15}{5} \\ w = 45 \div 15 = 3[/tex]