how many solutions does 6x - 18 = 4(2x - 3) - (2x +6)
Answer:
x=0
Step-by-step explanation:
6x-18=4(2x-3)-(2x+6)
We move all terms to the left:
6x-18-(4(2x-3)-(2x+6))=0
We calculate terms in parentheses: -(4(2x-3)-(2x+6)), so:
4(2x-3)-(2x+6)
We multiply parentheses
8x-(2x+6)-12
We get rid of parentheses
8x-2x-6-12
We add all the numbers together, and all the variables
6x-18
Back to the equation:
-(6x-18)
We get rid of parentheses
6x-6x+18-18=0
We add all the numbers together, and all the variables
=0
x=0/1
x=0
Motocross The path that a motocross dirt bike rider follows during a jump is given
by y = -0.4x² + 4x + 10 where x is the horizontal distance (in feet) from the edge
of the ramp and y is the height (in feet). What is the maximum height of the rider
during the jump?
20
18
16
14
12
Height (feet)
10
6
4
2
0 2 4 6 8 10 12
Horizantal distance feet)
My
Answer:4.4x+10
Step-by-step explanation:
Can I try answering questions that are on your profiles
Please I need to earn points and brainliest
Answer:
Ok
Step-by-step explanation:
Go for it
CAN YOU HELP ME thank you 10pts
9514 1404 393
Answer:
m∠CAB = 62°
m∠CBG = 114°
Step-by-step explanation:
Given:
the above figure
Find:
What are the measures of angles CAB and CBG
Solution:
The total angle at C is 32°+52° = 84°. We know that "remote interior" angles ECB and EBE have a sum that matches angle CEF.
So, angle CBE = 150° -84° = 66°
Angle CBG is the supplement of this, so is ...
m∠CBG = 180° -66° = 114°
That angle is the total of "remote interior" angles BCA and CAB. So angle CAB is ...
m∠CAB = 114° -52° = 62°
Can somebody help? Tysm
A biologist begins working with a sample containing 20,000 bacteria. The population size doubles every 10 days according to the equation p(t)=20,000(2)^t/10, where t represents the number of days. After seven days the biologist begins working with a second sample of 20,000 bacteria. The equation used to represent the population of sample 2 after t days is p(t)=20,000(2)^t-7/10. Which of the following is an equivalent form of the equation for the population of sample 2?
Answer
p(t) = 20,000^10 root of 2^t/10 root of 2^7. i think
Step-by-step explanation:
HELP ASAP PLS AMD THANK YOU
The perpendicular bisectors of AABC intersect at point
G. Find the length of BG.
B
Answer:
[tex]\overline{GB}[/tex] = 9
Step-by-step explanation:
The given parameters are;
The point of intersection of the perpendicular bisectors of the sides [tex]\overline{BC}[/tex], [tex]\overline{BA}[/tex], and [tex]\overline{CA}[/tex] intersect (meet) at point G
Let D represent the point of intersection of the perpendicular bisector from G to [tex]\overline{BC}[/tex], we have for ΔBGD and ΔCGD;
[tex]\overline{GD}[/tex] ≅ [tex]\overline{GD}[/tex] by reflexive property
∠GDB = ∠GDC = 90° given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Similarly, [tex]\overline{DB}[/tex] ≅ [tex]\overline{DC}[/tex], also given that [tex]\overline{GD}[/tex] is the perpendicular bisector of [tex]\overline{BC}[/tex]
Therefore;
ΔBGD ≅ ΔCGD by Side-Angle-Side (SAS) rule of congruency
[tex]\overline{GB}[/tex] ≅ [tex]\overline{GC}[/tex] by Congruent Parts of Congruent Triangles are Congruent, (CPCTC)
[tex]\overline{GB}[/tex] = [tex]\overline{GC}[/tex] = 9 by definition of congruency
∴ [tex]\overline{GB}[/tex] = 9.
Help me solve this, plz!! WILL MARK BRAINLIEST!! Show how to solve, plz and thank you!!
Answer:
6<x<9Step-by-step explanation:
from the graph above the non linear paths are the curves on the Cartesian plain
on the y-axis, you'll get to see the curve there for the the values for x and y intervals are at their maximum, which in range is 6<x<9
What is the value of x in the figure?
A. 10
B. 6
C. 15
D. 12
Answer:
Step-by-step explanation:
You need to set up a proportion.
(21 - 15) / 21 = 4/(x + 4)
6 / 21 = 4/(x + 4)
2/7 = 4/(x + 4)
2(x + 4) = 7*4
2x + 8 = 28
2x + 8-8= 28 - 8
2x = 20
x = 20/2
x = 10
2 1/3 ×4 1/5
WHO EVER IS CORRECT I WILL GIVE BRAINIEST
Answer:
So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]
Step-by-step explanation:
We need to solve the given equation: [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex]
First converting mixed fractions into improper fractions
[tex]\frac{7}{3} \times \frac{21}{5}[/tex]
Since 21 is divisible by 3 so, simplifying and multiplying
[tex]=7 \times \frac{7}{5} \\=\frac{49}{5} \\=9\frac{4}{5}[/tex]
So, solving the equation [tex]2 \frac{1}{3} \times 4\frac{1}{5}[/tex] we get [tex]9\frac{4}{5}[/tex]
Solve
Which equation in point-slope form, is represented by this graph?
y
−
3
=
1
2
(
x
−
4
)
y−3=
2
1
(x−4)
y
=
2
x
+
4
y=2x+4
y
−
3
=
3
(
x
−
4
)
y−3=3(x−4)
y
−
3
=
1
2
(
x
−
7
)
y−3=
2
1
(x−7)
Answer:
y - 3 = (1/2)(x - 4)
Step-by-step explanation:
The graph is hard to read, but we can make assumptions about the x- and y-values shown. The y-intercept appears to be (0, 1) and the blue dot appears to be (4, 3). Let's try finding the equation of the line using this assumed data:
The point-slope equation is y - k = m(x - h), where (h, k) is a point on the line and m is the slope of the line.
We need the slope of the line. Recall that m = rise/run. Going from (0, 1) to (4, 3), x (the 'run') increases by 4 and y (the 'rise') increases by 2. Thus, the slope is m = rise/run = 2/4, or 1/2.
Substituting the known values into the point-slope equation y - k = m(x - h), we get:
y - 3 = (1/2)(x - 4)
PLEASE HELP ILL MARK U AS THE BRAINLEIST
Answer:
Slope Rise/Run
count from one point to another by going up or down then left or right if is down is negative if is left is negative but two negatives equal a positive
Have a nice day/night HAPPY THANKSGIVING!!!
Step-by-step explanation:
in a school, the number of boys is 9 more than thrice a number of girls. if the total role of class is 60. what is the total role of girls .
simplify!!
6x - 2+7x
Answer:
13x-2
Step-by-step explanation:
Answer:
13x - 2
Step-by-step explanation:
6x - 2 + 7x
13x - 2
I WILL GIVE BARINLEST WHO HELP ME OK
Answer:
100
Step-by-step explanation:
multiplication, 20*5.
Answer:
i would go with 100
Step-by-step explanation:
20 times 5
teresa purchased a prepaid phone card for $30. Long distance calls cost 7 cents a minute using this card. Teresa used her card only once to make a long distance call. if the remaining credit on her card is $28.32, how many minutes did her call last?
Answer:
24min
Step-by-step explanation:
30-28.32=1.68
1.68/0.07cents=24
Find the value of X
7/x-10 = 3/6
Answer:
2/3
Step-by-step explanation:
7/x -10 = 3/6
7/x =3/6 +10
7/x = 63/6
42 = 63x
x = 42/63 or 2/3
Answer:
2/3
Step-by-step explanation:
0.5 e + 20= 25
solving equations
Answer:
e = 10
Step-by-step explanation:
Simplifying
0.5e + 20 = 25
Reorder the terms:
20 + 0.5e = 25
Solving
20 + 0.5e = 25
Solving for variable 'e'.
Move all terms containing e to the left, all other terms to the right.
Add '-20' to each side of the equation.
20 + -20 + 0.5e = 25 + -20
Combine like terms: 20 + -20 = 0
0 + 0.5e = 25 + -20
0.5e = 25 + -20
Combine like terms: 25 + -20 = 5
0.5e = 5
Divide each side by '0.5'.
e = 10
Simplifying
e = 10
Answer:
e = 1
Step-by-step explanation:
0.5e + 20 = 25
0.5e = 5
e = 1
You subtract 20 from 25 to get 5. Then you divide 5 by 5 to get e = 1
pls give brainliest!!
3,4,4,6,8,9 work out the median
Answer: suckkkkkkkdbejehejjssjsj
Step-by-step explanation:
Answer:
5
Step-by-step explanation:
just trust me
can someone help me answer question 7 and 8. ill give a braniest to whoever can get them both correct. tysm if you help me :)
Step-by-step explanation:
7question.
it's the first answer y=x-10/3
8th question
it's also first answer y=x-9/2
The Eiffel Tower in Paris France has 674 steps that go from the ground to second floor there are 328 steps from ground to first floor how many steps are there from the floor to the second floor
Answer:
346
Step-by-step explanation:
i think
Write the definition of "Absolute Value” in your own words.
A number's absolute value means the distance from 0. -6 is 6 units away from 0 units. The absolute value of -6, then, is 6. There's no negative distance you can have, so it has to be positive.
Answer:
a real number without regard to its sign.
(x-5) divided by (x^2+3x-40)
Answer:
1/ x +8
*The 1 over x + 8
Answer:
[tex]\frac{1}{x+8}[/tex]
Step-by-step explanation:
Here is your original equation:
[tex]\frac{x-5}{x^{2} +3x-40}[/tex]What we need to focus on is simplification, specifically simplifying the denominator. First, let's isolate the denominator (we'll get back to [tex]x-5[/tex] later):
[tex]x^{2} +3x-40[/tex]
Next, we take a look at -40. Our goal is to find what factors of 40 create a sum of 3 so we can separate the equation for polynomial division.
Let's begin building our expressions. We know that [tex]x^{2}[/tex] has an exponent of 2. When variables are multiplied, the exponents are added, meaning that [tex]x*x=x^{2}[/tex]. (Or [tex]x^{1} + x^{1} =x^{2}[/tex] , the 1s just don't show)
We can also see that -40 is a negative number. A negative multiplied by a positive makes a negative product, so we can also include one positive and one negative in each expression.
[tex]x^{2} +3x-40 = (x+)(x-)[/tex]
Next, let's look at the factors of 40:
1 and 40 2 and 20 4 and 10 5 and 8
Which of these factors can make a sum of 3? Remember that one number has to be positive and the other has to be negative!
[tex]8-5=3[/tex]In this instance, our positive number is 8 and our negative number is 5. They create the sum of 3 that we're splitting in [tex]3x[/tex]. Therefore, [tex]8(-5)=-40[/tex].
[tex]x^{2} +3x-40 = (x+8)(x-5)[/tex]Now let's go back to our original equation and substitute our old expression with the new one:
[tex]\frac{x-5}{(x+8)(x-5)}[/tex]Do you notice that the numerator and part of the denominator are equal? This means that they can cancel each other out! Think of it as a [tex]\frac{1}{1}[/tex].
[tex]\frac{x-5}{(x+8)(x-5)}[/tex] = [tex]\frac{1}{x+8}[/tex]Therefore, your simplified answer is [tex]\frac{1}{x+8}[/tex] !
Here's the whole process:
[tex]\frac{x-5}{x^{2} +3x-40} \\\\(x+?)(x-?)\\\\40:\\1, 40\\2, 20\\4, 10\\5, 8\\\\8-5=3 \\(8x-5x=3x)\\\\(x+8)(x-5)\\\\\frac{x-5}{(x+8)(x-5)}=\frac{1}{x+8} \\\\\frac{1}{x+8}[/tex]
To check your answer, confirm your expressions using the box method attached.
I hope this helps! If you have any more questions or concerns about the answer or the process, let me know!
Please answer!!! Will mark brainiest!!
Answer:
I think it is D. 9/15 * 14/20
9514 1404 393
Answer:
C. 3/10 * 2/5
Step-by-step explanation:
3 of the 10 horizontal stripes are colored orange, representing a fraction of 3/10.
2 of the 5 vertical stripes are colored purple, representing a fraction of 2/5.
The area of overlap is 6 of the 50 small boxes, so represents the product ...
3/10 * 2/5 = 6/50
Need explanation for how to find "E"(in the picture attached), and how to calculate "sin".
Answer:
Step-by-step explanation:
E is just that Vertex/Angle.
[tex]sin[/tex] is a measure of an angle.
You should learn SOHCAHTOA
[tex]sin = opposite/hypotenuse\\cos(ine) = adjacent/hypotenuse\\tan(gent)=opposite/adjacent[/tex]
The opposite side is relative to the angle.
In this case, the opposite of E is 20
The hypotenuse is 29
so,
[tex]sin(E)= \frac{20}{29}[/tex]
What is the answer to this I need help ASAP lol thanks :)
Answer:
you can count by groups of 9 and there would be 4 groups
9 + 9 + 9 +9 = 36 and 36/9 = 4
A shark was swimming 33ft below the surface of the water. It swam up 18ft to feed
on some fish, then dove down 5ft. Where is the shark now?
Sergio works at an ice cream shop and is paid by the hour. m = 11h, where h represents the number of hours worked, and m represents the amount of money Sergio was paid. How much did Sergio make in one hour?
Answer:
he made 11 dollars
Step-by-step explanation:
the number that is touching the h is how much he is making in a hour.
find the solutions of the quadratic equation 3x^2-4x+4=0
Answer:
2.3
Step-by-step explanation: if your finding the decimal 2.3 will be your answer if not then sorry