Answer:
You already know the answer is -108
Step-by-step explanation:
There is probably a formula for finding the coefficient of a variable in an expansion. But (x-3) is easy to square, and that gives us
x^2 - 6x +9
Now to square that quadratic trinomial I used an area model. You can get the entire expansion. But we are just only interested in the x terms. See image. They are in yellow on the image. You can see we get -54x two times. So
-54x + -54x is the -108x term you are interested in.
Given the equations x^2 + 8x + 12 = 0 and 3x + 6 = 0, what is the common
solution?
[tex] {x}^{2} + 8x + 12 = 0 \\ = > {x}^{2} + 6x + 2x + 12 = 0 \\ = > x(x + 6) + 2(x + 6) = 0 \\ = > (x + 2)(x + 6) = 0 \\ = > x = - 2 \: \: or \: \: - 6[/tex]
[tex]3x + 6 = 0 \\ = > 3x = - 6 \\ = > x = \frac{ - 6}{3} \\ = > x = - 2[/tex]
Here, the common solution is -2.
Answer:
x = -2.
Hope you could get an idea from here.
Doubt clarification - use comment section.
After the first four games of a professional football season, three players scored a total of 80 touchdowns.
Duke Johnson scored 14 of the touchdowns.
Josh McCown scored 40% of the touchdowns.
Andre Roberts scored the remaining touchdowns.
How many touchdowns did Andre Roberts score?
A.20 touchdowns
B.28 touchdowns
C.32 touchdowns
D.52 touchdowns
The ages and grades of some of the 19 girls on a club soccer team are shown in the table. Which two-way frequency table correctly shows the marginal frequencies?
Answer:
Step-by-step explanation:
add up to a total of 21 girls. The question says there are 19 girls, so those two are eliminated. Table B's data doesn't even add properly so that is eliminated too
Answer:
Add up the 21 girls,
table B is out btw
Ik I'm late just want to help :)
6. Which statement about this figure is true?
In a bag of candies, the total number of yellow candies and blue candies is 75. The number of yellow candies is
15 more than twice the number of blue candies. How many yellow candies are in the bag?
Help!!
Answer:
Step-by-step explanation: 2x+15 = 75
2x=60
x=30 blue candies
30 + 15 = 45 yellow candies in the bag
Suppose that the height (in centimeters) of a candle is a linear function of the amount of time (in hours) it has been burning. After 5 hours of burning, a candle has a height of 26 centimeters. After 24 hours of burning, its height is 14.6 centimeters. What is the height of the candle after 18 hours?
Answer:Let Y = height
Let X = time
Height is a linear function of time, so Y = mX + b, where m is the slope and b is the y-intercept.
We can calculate the slope from the given values (8,20.4) and (19,18.2)
Slope = (y2 - y1) / (x2 - x1) = (18.2 - 20.4) / (19 - 8) = -2.2 / 11 = -0.2
This means that the height of the candle is going down by 0.2 cm per hour
Since 16 hours is 8 hours after the first data point of (8,20.4), the height will go down by 8 * (-0.2) = -1.6 cm in the 8 hours between hour 8 and hour 16.
So the height of the candle after 16 hours = 20.4 - 1.6 = 18.8 centimeters
Step-by-step explanation:
Samuel has 52 marbles in a bag. Fourteen are red, 13 are green and 25 are blue. If a marble is chosen at random, what is the probability that it is green?
Glven the function f(x) = (x-2)2 + 13, what is the equation of the new
function if it is translated to the left 5 units and moved down 7 units.
Q. If the graph of the parent function f(x) = x is shifted 7 units down, which of the following equations would the new graphed line represent?
Which equation represents the function shown on the graph?
y = x
y = x
y = 2x
y = 4x
Answer:
x = 0, y = 0
Step-by-step explanation:
Help me please tha is a practice but is I pass it will make me not fail math
Answer:
x = 21 The angles are 85°, 58°, 69°, and 148°
Step-by-step explanation:
The sum of the interior angles of a 4 sided figure formula :
Sum of the interiors = (n - 2) 180°
Sum of the interiors = (4 - 2) 180
Sum of the interiors = (2)180° = 360°
Now : 85° + (x + 37)° + 69° + (6x + 22)° = 360°
213 + 7x = 360
7x = 360 - 213
7x = 147
x = 21 the angles are 85°, (21 + 37)° = 58°; 69°; (6·21 +22)°= 148°
Answer:
The degrees inside the quadrilateral are 85, 148, 69, and 58.
Step-by-step explanation:
The interior of the quadrilateral equals 360 degrees.
All the degrees inside need to add up to 360. You need to find out what x is so you can do that.
First, add all the degrees you know, then solve for x.
85 + 69 = 154.
Now, add in the other angles.
154 + (6x + 22) + (x + 37)
Add like terms together.
154 + 22 + 37 = 213 degrees 6x + x = 7x.
7x + 213 needs to equal 360.
Subtract 213 from both sides to get 7x alone.
7x = 360 - 213
7x = 147
Now, you need to solve for x. You do this by dividing both sides by 7.
7x/7 = 147/7
x = 21
To find the degrees of the two unknown angles, substitute 21 back in where x is.
6(21) + 22 = 126 + 22 = 148
and 21 + 37 = 58
85 + 148 + 69 + 58 = 360 degrees.
if the nth term of a sequence is n^2-5 what are the first three terms and the 10th term
Answer:
-4, -1, 4
95
Step-by-step explanation:
when n is 1
n² - 5 = 1² - 5
1 - 5 = -4
when n is 2
n² - 5 = 2² - 5
4 - 5 = -1
when n is 3
n² -5 = 3² - 5
9 - 5 = 4
10th term, when n is 10
n² - 5 = 10² - 5
100 - 5 = 95
cos(x+2)=sin(3x). Need done for a test please help.
X=?
38 degrees 75 degrees
Answer:
67
Step-by-step explanation:
What is the distance from point D to point C?
A.1 unit
B.2 units
C.3 units
D.4 units
Answer:
the distance from point D to point C.
B.2 units
Answer:
B:-2
Step-by-step explanation:
just count the box and you will get your answer
What is the common denominator of y StartFraction y minus 3 Over 3 EndFraction in the complex fraction y StartFraction y minus 3 Over 3 EndFraction divided by five-ninths StartFraction 2 Over 3 y EndFraction?.
The common denominator of the given expression is [tex]5y+6.[/tex]
Given expression,
[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }[/tex].
We have to find the common denominator.
On solving the numerator and denominator of the given expression,
[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{\frac{3y+y-3}{3} }{\frac{5y+6}{9y} }[/tex]
[tex]= \dfrac{\frac{4y-3}{3} }{\frac{5y+6}{9y} }[/tex]
[tex]= \dfrac{4y-3}{3} \times\dfrac{9y}{5y+6}[/tex]
Or,[tex]\dfrac{y+\frac{y-3}{3} }{\frac{5}{9} +\frac{2}{3y} }= \dfrac{3y(4y-3)}{5y+6}[/tex]
Hence the common denominator of the above expression is given by [tex]5y+6.[/tex]
For more details follow the link:
https://brainly.com/question/357568
Answer:
Not A 3y(y – 3)
Not B y(y – 3)
it is either C 3Y or D 3
ANSWER ASAP PLS
A line passes through the points (-6, 4) and (-2, 2). Which is the equation of the line?
A y=-3x+1
B x = 1/2x +7
C y=-2x-8
D y = 2x + 16
Step-by-step explanation:
m = (y2-y1)/(x2-x1)
= (2-4)/(-2+6)
= -2/4
= -1/2
now
y=mx+c
4=-1/2(-6)+c (you can take any x and y from the given two points. I took from (-6,4)
or,4= 3+c
therefore, c=1
now
y=mx+c
y= -1/2x+1
or, y = 1-x/2
Write an equation in point-slope form of the line that passes through the point (−3,6) and has a slope of 5.
Answer:
Below in bold.
Step-by-step explanation:
Point slope form is y - y1 = m(x - x1)
where m = the slope of the line and (x1, y1) is a point on the line.
Here m = 5, x1 = -3 and y1 = 6.
So we have:
y - 6 = 5( x - (-3))
y - 6 = 5(x + 3) (Answer)
4
en 2 = 21,426
6%-
*8 = 21 - 22 - 24
8
-8=24
16
44-8-8=24 -
2x
47.
4y
Answer:
Step-by-step explanation:
BOX #1 -- 2x
BOX #2 -- 4x
BOX #3 -- 8
BOX #4 -- 16
BOX #5 -- 4
-2a
0b
-2
× -5b
4
× -b
Answer:
Step-by-step explanation:
Army DA administrative publications and forms by the Army Publishing Directorate APD. The latest technologies high quality electronic pubs and forms view ...
The ground temperature at an airport is 14 °C. The temperature decreases by 62 °C for every increase of 1 kilometer above the ground. What is the temperature outside a plane flying at an altitude of 5 kilometers?
Answer:
52°C
Step-by-step explanation:
Emma is making a recipe that needs 2 1/2 cups of sugar. Each
scoop contains 1/4 cup of sugar. How many scoops of sugar
does she need to add for the entire recipe?
The given partial fraction divided by the fraction of sugar in a scoop is
equal to multiplying the partial fraction by the reciprocal of the fraction.
The number of scoops of sugar needed is 10 scoops.Reasons:
The amount of sugar the recipe Emma is making needs = 2 1/2 cups
Amount of sugar in each scoop of sugar = 1/4 cups
Required:
The amount of scoops Emma needs to add for the entire recipe
Solution:
The amount of sugar needed = 2 1/2 cups
Amount of sugar per scoop = 1/4 cups/scoop
Therefore;
[tex]\displaystyle Number \ of \ scoops = \mathbf{\frac{Cups \ of \ sugar \ needed}{Cups \ of \ of \ sugar \ per \ scoop}}[/tex]Which gives;
[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}}[/tex][tex]\displaystyle 2 \frac{1}{2} = \frac{5}{2}[/tex]
[tex]\displaystyle \frac{ \frac{5}{2}}{\frac{1}{4} } = \mathbf{ \frac{5}{2} \times \frac{4}{1} = \frac{20}{2 }} = 10[/tex]
Therefore;
[tex]\displaystyle Number \ of \ scoops \ needed = \mathbf{\frac{2 \frac{1}{2} \ cups \ of \ sugar }{\frac{1}{4} \ cups \ of \ sugar \ per \ scoop}} = 10 \, scoops[/tex]
The number of scoops she needs for the entire recipe is 10 scoops
Learn more about division by fractions here:
https://brainly.com/question/20591763
Please show work!! I'll give you brainliest
10. If the area of a parallelogram is 690.84 m2 and the height is 20.2 m, what is the length of the base?
Answer:
b=34.2m
Step-by-step explanation:
equation for area of parallelogram
a=b×h
in which b is the base(length) and h is the height
[tex]690.84 = b \times 20.2[/tex]
[tex]b = \frac{690.84}{20.2} [/tex]
b=34.2m
whats 1 + 1
ahsdugiywayhdyhawdwahdwahidwadad
Answer:
11
Step-by-step explanation:
It's clearly 11
1 + 1 = 11
just put the 2 numbers together
Which absolute value functions will be narrower than the parent function, f(x) = |x|? Check all that apply. F(x) = |x| f(x) = |x â€" 2| f(x) = |x| 3 f(x) = 2. 9|x| f(x) = 1. 2|x 8| f(x) = 0. 7|x| â€" 3. 2.
The absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|
For an absolute value function to be narrower than its parent function, the following highlights must be true:
The function must be dilatedThe scale of dilation must be greater than 1From the given options, the dilated functions are: f(x) = 2.9|x|, f(x) = 1.2|x + 8| and f(x) = 0.7|x| – 3.2
However, the dilated functions that have a scale of dilation greater than 1 are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|
Hence, the absolute value functions that will be narrower than the parent function are: f(x) = 2.9|x| and f(x) = 1.2|x + 8|
Read more about absolute value functions at:
https://brainly.com/question/7515527
a movie rental service charges a $15 fee plus $1.50 per rental. suppose you have $40 to spend. how many movies can you rent
Answer:
16
Step-by-step explanation:
y = mx+b, where y is cost x is # of movies, m is $ per rental and b is the flat charge.
y = 1.50x+15
40 = 1.50x+15
25 = 1.50x
16.666... = x
You can rent about 16 movies
Hope that helps
Answer:
40 = 1.50x+15
25=1.50x
x=16
16 movies
Step-by-step explanation:
16. If a triangle has two side lengths of 8 inches and 23 inches, describe the possible lengths for the third
side?
Answer:
24
Step-by-step explanation:
empat angka setelah angka tiga
Answer:
hindi ko po gets
yan sorry
At Hunter's Arcade, 2/3 of the games are racing games. Among the racing games, 3/5 are motorcycle-racing games. What fraction of the games at Hunter's Arcade are motorcycle-racing games?
Olivia and her friends went to the movies with $45 to spend. She bought popcorn for $6.75 and paid
$9.25 for each movie ticket for her and her friends. What was the greatest number of movie tickets Olivia
could have bought?
A. 3
B. 4
C. 5
D. 6
Answer:
5 tickets
Step-by-step explanation:
45 - 6.75 = 37.35
37.35 ÷ 4 = 9.3375
So, she still has enougg for one more ticket. 4 + 1 is 5. 5 tickets
46. A sphere shaped bowl has a radius of 5.5 inches How much water can the bowl hold? Round to the nearest tenth.
Answer:
try 17.89 cm..then 18 for answer