6X² - 12x + (x-2) = 0
please help
Answer:
[tex]x = 2 \: or \: \frac{ - 1}{6} [/tex]
Step-by-step explanation:
Lets open the brackets.
[tex]6 {x}^{2} - 12x + x - 2 = 0[/tex]
Now lets factorise it.
[tex] = > 6 {x}^{2} - 12x + x - 2 = 0[/tex]
[tex] = > 6x(x - 2) + 1(x - 2) = 0[/tex]
[tex] = > (x - 2)(6x + 1) = 0[/tex]
Here x will have two values.
1) [tex]x - 2 = 0[/tex]
[tex] = > x = 2[/tex]
2) [tex]6x + 1 = 0[/tex]
[tex] = > 6x = - 1[/tex]
[tex] = > x = \frac{ - 1}{6} [/tex]
6x+8y=26 -7x+2y=-19 elimination method
2 A cafe sells cakes and scones.
On Tuesday, the ratio of the number of cakes sold to the number of scones sold was 5:2
On Tuesday, the cafe sold 12 scones,
How many cakes were sold on Tuesday?
help with #13 please
Answer:
f
Step-by-step explanation:
because math
Answer:
E. It cannot be determined
Step-by-step explanation:
Well, based on trying to find e, there is no way to determine the value, therefore the answer is e, it cannot be determined.
Tell whether the ordered pair is a solution of the system of linear equations.
y = -5x + 2
y=x-4
(2-8)
The mean age of 12 women in an office is 26 years old.
The mean age of 4 men in an office is 29 years old.
What is the mean age (nearest year) of all the people in the office
Answer:
27
Step-by-step explanation:
Well, if the mean of 12 people is 26, you can imagine those 12 people are 26, so 26*12=312. Next, you do the same for the 4 men, so 29*4=116. Then you add those 2 numbers together, to get the total of 428. Divide that by the total amount of people in the office which is 428/16=26.75. Rounding up (because the decimal starts with a number above 5) you get that the average age is 27.
Irfan incorrectly determined that the equation for the line on the graph is y = 0.5x +5. What is the correct equation for the line?
Answer:
y=-1x+0.5
Step-by-step explanation:
First calculate the slope of the line=y2-y1/x2-x1
Take any two points
1-3/2-1
-2/1
slope=-1
y=mx+c (equation for line)
Take any point and figure the value of c
1=-1x2+c
1/-2=c
c=0.5
y=-1x+0.5
The equation for the line graphed
y-7.5x
y -7.5x
y=70x
y -70
HELP PLS
Answer:
y=7.5x
Step-by-step explanation:
Find the slope and y intercept
Answer:
b
Step-by-step explanation:
Draw two intersecting line segment AB and CD intersecting at O. Measure the size of each pair of vertically opposite angles. Verify that each pair of vertically opposite angles are equal.
Answer:
Angles vertically opposite to each other are equal.
Step-by-step explanation:
There are two lines AB and CD intersecting at point O making angles 1 ,2,3 and 4.
The angles 1 and3 , angles 2 and 4 are vertically opposite angles.
Now consider the line AB
<1 + <2= 180 degrees--------- eq A
Now consider the line CD
<2+ <3= 180 degrees-----------eq B
As both equations are equal
< 1+ <2= <2+ <3 = 180 degrees
or
< 1+ <2= <2+ <3 or
< 1= <3 subtracting <2 from both sides
Now consider the line BA
<3+ <4= 180 degrees--------- eq C
Now consider the line DC
<4+ <1= 180 degrees-----------eq D
As both equations are equal
< 3+ <4= <4+ <1 = 180 degrees
or
< 3+ <4= <4+ <1
or
< 3= <1 subtracting <4 from both sides
This holds true for all vertically opposite angles that they are equal.
These can be measured with a protractor.
This can also be proved that if we add angles 1,2,3 and 4 we will get 360
and if we subtract angles 1 & 2 from 360 we will get 180 degrees which angles 3&4 make together.
<1+<2+<3+<4= 360 degrees
But <1 +<2= 180
360 - [ <1+<2] = 180 degrees
<3 +<4= 180
<1 +<2= <3 +<4= 180
The equation tan(55 degree) equals StartFraction 15 Over b EndFraction can be used to find the length of Line segment A C.
Given:
The equation is
[tex]\tan(55^\circ)=\dfrac{15}{b}[/tex]
To find:
The length of the line segment AC.
Solution:
We have,
[tex]\tan(55^\circ)=\dfrac{15}{b}[/tex]
[tex]1.428148=\dfrac{15}{b}[/tex]
Multiply both sides by b.
[tex]1.428148b=15[/tex]
Divide both sides by 1.428148.
[tex]b=\dfrac{15}{1.428148}[/tex]
[tex]b=10.50311[/tex]
[tex]b\approx 10.503[/tex]
In a triangle ABC, the line of line segment AC is b. So,
[tex]AC\approx 10.503[/tex]
Therefore, the length of the line segment AC is 10.503 units.
find the square root of 125*45
I’ll give brainliest!!! Can somebody pls explain how to do these
*URGENT: WILL GIVE BRAINLY TO FIRST ANSWER*
The number of lawns l that a volunteer can mow in a day varies inversely with the number of shrubs s that need to be pruned that day. If the volunteer can prune 6 shrubs and mow 8 lawns in one day, then how many lawns can be mowed if there are only 3 shrubs to be pruned?
Answer: 16 lawns can be mowed if there are only 3 shrubs to be pruned.
Step-by-step explanation:
Equation of inverse variation: [tex]x_1y_1=x_2y_2[/tex]
Given: Number of lawns l that a volunteer can mow in a day varies inversely with the number of shrubs s that need to be pruned that day.
Then, [tex]l_1s_1=l_2s_2[/tex]
Put [tex]l_1=8,\ s_1=6,\ s_2=3[/tex] [To find: [tex]l_2[/tex]]
[tex]8\times6=3l_2\\\\\Rightarrow\ l_2=8\times2=16[/tex]
Hence, 16 lawns can be mowed if there are only 3 shrubs to be pruned.
50 points! Please help i need to bring my grade up. Random answers will be reported
Answer:
(2,3)=(-2,-1,5)
Step-by step explanation:
Answer:
6. J(-1, 3), K(3, 1), L(2, 5)
7. J(4, 0), K(0, -2), L(1, 2)
Step-by-step explanation:
Do simple arithmetic for the translations.
For the reflections, use a graphing calculator.
Please mark as Brainliest!!!PLEASE HELP I WILL MARK BRAINLIEST!!!
Select the correct answer
from each drop-down menu.
Brian makes an investment in his company's stock. What does the stock chart say about the stock price today?
The down arrow indicates the stock price has decreased from yesterday's price of $___
at the _____ of the market day.
Option price 1- 66.20 OR 66.26 OR 65.75
Option blank 2- Open OR Close OR High
Answer: $66.20; close
Step-by-step explanation:
The down arrow indicates the stock price has decreased from yesterday’s price of $ 66.20 at the close of the market day.
please ANSWER at least ONE question CORRECTLY FOR 8 POINTS & ANSWER at least THREE CORRECTLY to be MARKED BRAINLIEST! (you don’t have to do all of them, but it would be greatly appreciated if you did.)
Answer:
a. yes
b. no
c. no
d. no
e. yes
Step-by-step explanation:
Here, we want to answer yes or no for each of the numbers
a) Yes
If we compare with the general form
y = mx + b
m
is slope and b is y-intercept
so, 2 is slope and 3 is y intercept; so 3 in y-intercept is (0,3)
b. No
This is the point-slope form we are trying to
get
Evaluating this, we have that
y-3 = 2x - 6
y = 2x-6 + 3
y = 2x-3
c) NO
Just insert the values and check here
-1 = 2(5) + 3
it does not work
d) No
Substitute
-4 = 2(-5) + 3
e) Yes
This is the point-slope form
y + 3 = 2x + 6
y = 2x + 6-3 = 2x + 3
simplify the equations below
Help pls 6th grade math i will give brainliest
Answer:
10
Step-by-step explanation:
Answer:
10
Step-by-step explanation:
10 x 2 = 20
If the measure of one interior angle in a regular polygon is 160°, how many sides
does the polygon have?
Answer:
18 sides?
Step-by-step explanation:
((n-2)180)/n=160
160n=180n-360
20n=360
x=18
Your answer
8) Lindsey drove 45 miles. This represents 60% of her entire trip. What is the total
number of miles in Lindsey's trip? *
27 mi
45 mi
72 mi
105 mi
Answer:
the answer is 27 mi.
Step-by-step explanation:
45 * 0.60 = 27
-5x2(2) + (-2)(2) what is the answer
Answer:
The answer will be -24 :))
the length of the road is 600 miles if one inch represents 30 miles what is the length of the road
600 ............................................................................,...............................
Which situations can be described with a negative number? Select all correct answers.
A.) The Titanic rests at a depth of about 12,000 feet.
B.) The temperature of the photosphere of the sun is approximately 5, 505°C.
C.) The height of the Taipei in Taiwan is 1,671 feet.
D.) The average height temperature in Antarctica in January is 15° F below zero
E.) The world record for the deepest scuba dive is 1,083 ft.
D.) The world record for the highest base jump from a building is 2,205 ft above sea level.
Answer:
D.) The average height temperature in Antarctica in January is 15° F below zero
Step-by-step explanation:
what is quarts and gallons?
Convert 5 quarts to gallons.
Answer:
5 quarts is 1.25 gallons
Step-by-step explanation:
why did u ask the same question 3 times... i legit looked this up on go.ogle but ok
F is the number of faces in a prism.
N is the number of sides of its end face.
Write down a formula connecting F and N.
Answer:
F = N + 2
Step-by-step explanation:
2 bases (N) + N side parallelograms (or Rectangles)
2 1 a=11start fraction, 1, divided by, 2, end fraction, a, equals, 11 a=a=a, equals Khan Academy
Answer:
a = 5.5
Step-by-step explanation:
Let the expression be written as;
Given 1/2 = a/11, find a
Cross multiply
1×11 = 2×a
11 = 2a
a = 11/2
a = 5.5
Elijah is keeping track of his baby sister’s shoe size at different ages throughout her childhood. Which statements about the relationship between Elijah’s sister’s shoe size and her age are true? Select all that apply.
A. The relationship is a continuous function.
B. The relationship is a discrete function.
C. The domain and range are restricted to positive numbers.
D. The domain and range are restricted to positive integers.
In which quadrant does the point (15,-7) lie?
Answer:
Quadrant 4
Step-by-step explanation:
Quadrant 1: Positive x and Positive y
Quadrant 2: Negative x and Positive y
Quadrant 3: Negative x and Negative y
Quadrant 4: Positive x and Negative y
For point (15, -7), we have a Positive x and a Negative y so it belongs in Quadrant 4.
The quadrant the given point (15,-7) lie is fourth quadrant.
The first quadrant in Cartesian coordinate is given as;
= (x, y)
The second quadrant in Cartesian coordinate is given as;
= (-x, y)
The third quadrant in Cartesian coordinate is given as;
= (-x, -y)
The fourth quadrant in Cartesian coordinate is given as;
=(x, -y)
(15,-7) corresponds to (x, -y)
Thus, the quadrant the given point lie is fourth quadrant.
Learn more here: https://brainly.com/question/16834380
Does anyone know 3x=-12?
Answer:
x=-4
Step-by-step explanation:
Divide 3 on both sides since you use the inverse to cancel out each other but you need to do it on both sides to make the equation balance.
3 divided by 3x is x
3 divided by -12 is -4
x=-4