Answer:
x² – x – 12 = (x – 4)(x + 3)
Step-by-step explanation:
Identify two numbers that add to -1 and multiply to -12, let's call them p and q.
So ax² + bx + c = (x + p)(x + q)
pq = c
p + q = b.
It is easier to find these numbers by finding factors of -12.
This can be done by splitting the number up until all the numbers are prime.
-12 → 6 × -2 or -6 × 2 → -(3 × 2 × 2)
There can only be two numbers so the only options we have are 6 and -2, -6 and 2, 3, and -4, or -3 and 4.
We can eliminate them by adding them up.
6 + -2 = 4 ≠ -1 so that can't be it.
-6 + 2 = -4 ≠ -1 so that can't be it either.
-3 + 4 = 1 ≠ -1
therefore p and q are 3 and -4 because 3 + -4 = -1.
so x² – x – 12 = (x – 4)(x + 3)
p = -4, and q = 3.
(x – 4)(x + 3) = x(x + 3) – 4(x + 3) = x² + 3x – 4x + 12 = x² – x – 12
Find the slope of the line that passes through (-61, 3) and (-41, 31)
Answer:
im pretty sure its 1.4
Step-by-step explanation:
Kenny is ordering uniforms for both the girls’ and boys’ tennis clubs. He is ordering shirts for 43 players and two coaches at a total cost of $658.35. Additionally, he is ordering visors for each player at a total cost of $368.51. How much will each player pay for the shirt and visor?
16 points!!
Will Give Brainliest
Simple answer
Need b4 10:00
Thanks!
Answer:
$22.82. Explanation: There are 45 total shirts and visors needed, for the 43 players and 2 coaches. So divide each of the total costs by 45 , to see how much each individual person pays:
SHIRT:
658.38/45 =$14.63 per person
VISTOR:
368.51/45 =$8.19per person
Each person is buying a shirt and a visor, so combine these two prices:
14.63+8.19=$22.82per person.
Drag numbers to the blanks to complete the quadratic function, f(x), that has zeros at x = -2 and x = 5.
f(x)=x2+
x+
Answer:-12 abs 3
Step-by-step explanation:
Answer:
-3 and -10
Step-by-step explanation:
What is the answer to m + 3 = -8
Answer:
m=-11
Step-by-step explanation:
All you have to do is subtract 3 from both sides and you get -11!
I hope this helps and have a great day!
Answer:
-11 is the answer.
Step-by-step explanation:
Find the sum of 1/3x and 2/5x
Answer:
The sum of 1/3x and 2/5x will be:
[tex]\frac{1}{3}x+\frac{2}{5}x=\frac{11}{15}x[/tex]
Step-by-step explanation:
Finding the sum of 1/3x and 2/5x.
i.e.
[tex]\frac{1}{3}x+\frac{2}{5}x[/tex]
Factor out common term x
[tex]\frac{1}{3}x+\frac{2}{5}x=x\left(\frac{1}{3}+\frac{2}{5}\right)[/tex]
as
[tex]\frac{1}{3}+\frac{2}{5}=\frac{5+6}{15}=\frac{11}{15}[/tex]
so the expression becomes
[tex]=\frac{11}{15}x[/tex]
Therefore, the sum of 1/3x and 2/5x will be:
[tex]\frac{1}{3}x+\frac{2}{5}x=\frac{11}{15}x[/tex]
Simplify
a 4p + 2p - 3p
b)
9s - 5s + 2s-S
c)
8t + 3r - 7t-9r
QUICKK
Solve systems by substitution Find the solution
SHOW ALL WORK
Y = 2
3x + 4y = 20
( , )
Identify whether the following
quadratic opens upward or downward
function.
y=-2x2 + 8x - 9
he,\lp meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee
Answer:
Answer down below!
Step-by-step explanation:
First, what you need to do is calculate what 12 x 4 is
That equals 48
Then, calculate what 19 x 7 is
That equals 133
Add those together and that gives you 181
The answer is $181
:D
Describe how you would simplify and find the result of that simplification for the following expression? 9 ( 4t + 6) + 3t
Answer:
Hope these helps
Step-by-step explanation:
PLZ helppppppppppppppp
Answer:
x = ¹¹/c
Step-by-step explanation:
Since this is an equation, we move the 4 first and add it to 7, since we are multiplying the x with c when we move the c , and it becomes division.
11. Solve the system of Equations
5x + 2y = -18
-3x + 7y = 19
Solve for X and Solve for y
Answer:
(x,y)= (-4,1)
Step-by-step explanation:
sub the given value of x into the equation -3x+7y=19
solve for y
sub the given value of y into the equation
THIS IS FOR SUBSTITUTION METHOD
PLEASE HELP ME BRAINLY I WILL GUVE BRAINLEST
Answer:
3z + 3z (the 3rd option)Step-by-step explanation:
1) The first option comprises of seven like terms and one 6, which would result in 7z + 6.
2) The second option is blank.
3) The third option comprises of two numbers with like terms that actually do add up to 6z.
4) The fourth option is z multiplied by itself 6 times, which is z to the power of 6 or z⁶.
5) The fifth option is z divided by 1/6, which is [tex]\frac{z}{6}[/tex].
I hope this helps! Have a blessed day!
12/6 x 12=
simplify the answer
Step-by-step explanation:
[tex] \frac{12}{6} \times \frac{12}{1} = 24[/tex]
That is the answer
Dan rolls a fair dice 24 times.
How many times would Dan expect to roll an even number?
Answer:
It's going to be 4
Step-by-step explanation:
If (24 divided by 4) you get 6. So 4 basically is an even number :)
Answer:
Assuming a fair, six sided die, 4 would be expected to come up in one sixth of the trials, so 4 times in 24 rolls.
More formally:
Let X be the number of 4s rolled in 24 independent rolls of a fair six sided die. X is then distributed binomially with parameters n and p.
p = Probability of rolling a 4 = 1/6
n = Number of trials = 24
E [X] = np (by the properties of Binomial distribution)
E [X] = 4
I need help on this im stuck
number 15: is 75
number 16: is 56
Step-by-step explanation: 7+8(14−6)+4
=75
2(52)+(2)(3)
=56
Answer for question 15 is 75. Answer for question 16 is 103
Step-by-step explanation:
Follow Pemdas
I NEED HELP WITH THIS PROBLEM......
Answer:
son = 18 years old.
Step-by-step explanation:
Father to son = f/s = 7./3 Cross Multiply
3f = 7s
f + s = 60
f=60 - s
3(60-s)= 7s
180 - 3s = 7s
180 = 7s + 3s
180 = 10s
s = 180/10
s = 18
A bicycle wheel has outer diameter 32cm. How far will the cyclist travel if the wheel rotates 100π times? Give your answer in kilometres and correct to two decimal places.
Answer:
[tex]T=0.3142km \\T=0.31km\ to\ 2dp[/tex]
Step-by-step explanation:
Diameter [tex]d=32cm=0.32m[/tex]
Number of rotations [tex]N=100\pi[/tex]
Generally the circumference of the wheel is mathematically given as
[tex]C=2\pi r[/tex]
[tex]C=2\pi (0.32)^2/4[/tex]
[tex]C=1.005309649m[/tex]
[tex]C=1.0m[/tex]
Generally the total distance traveled T is mathematically given as
[tex]T=N*C[/tex]
[tex]T=100\pi *1m[/tex]
[tex]T=314.1592654m \approx 314.16m[/tex]
Total distance traveled T in Kilometres
[tex]T=314.1592654m[/tex]
[tex]T=\frac{314.1592654m}{1000}[/tex]
[tex]T=0.3142km \\T=0.31km\ to\ 2dp[/tex]
Which of the following inequalities matches the graph?
graph of an inequality with a s
olid line through the points 0, negative 2 and 2, 1 with shading above the line
3x − 2y ≥ 4
3x − 4y ≤ 2
3x − 2y ≤ 4
The correct inequality is not listed.
Answer:
1
Step-by-step explanation:
answer
Twice a number increased by seven is equal to five. Which of the following represents the equation and solution for this statement?
2 n + 7 = 5; n = -4.5
2 n = 7 + 5; n = 6
2 n + 7 = 5; n = -1
2( n + 7) = 5; n = -4.5
Hey there!
The answer to your question is the third option: 2n + 7 = 5; n = -1
"twice a number increased by 7" would represent 2n + 7, and if it's equal to 5, it would be 2n + 7 = 5. That rules out the last option, and the second option. Now, we have to solve for "n":
2n + 7 = 5 Step 1: Write the equation.
2n = -2 Step 2: Subtract 7 from both sides.
n = -1 Step 3: Divide both sides by 2.
Therefore, "n" is equal to -1, and the third option would be correct.
Hope it helps! Have a great day, and good luck on your assignment!
Answer:
Step-by-step explanation:
The answer to your question is the third option: 2n + 7 = 5; n = -1
"twice a number increased by 7" would represent 2n + 7, and if it's equal to 5, it would be 2n + 7 = 5. That rules out the last option, and the second option. Now, we have to solve for "n":
2n + 7 = 5 Step 1: Write the equation.
2n = -2 Step 2: Subtract 7 from both sides.
n = -1 Step 3: Divide both sides by 2.
Therefore, "n" is equal to -1, and the third option would be correct.
Which of the following sentences is true? Use the number line to help you decide.
+
6.0
+
6.1
+
6.2
+
6.3
+
6.5
6.4
+
6.6
+
+
6.7
6.8
+
6.9
7.0
O 6.8 is greater than 6.6.
O
6.4 is less than 6.2.
O 6.4 is greater than 6.6.
O
6.3 is less than 6.0.
Answer:
A: 6.8 is greater than 6.6
Determine if the two triangles are congruent. If they are, state how you know.
Based on the scatterplot and residual plot, is a linear
model appropriate for the growth of stock price?
A small technology company started offering shares of
stock to investors in 1987. At that time, the price of
one share of stock was $0.39. Since then, the
company has experienced rapid growth. Twenty-two
years later, the price of a single share of stock has
risen to over $110. The scatterplot shows the number
of years since the initial stock offering in 1987 and the
price of the stock.
O Alinear model is appropriate because the
regression line fits the scatterplot well.
O Alinear model is not appropriate because the
residual plot is centered about zero.
Alinear model is not appropriate because the
residual plot shows a clear pattern
Alinear model is not appropriate because the
scatterplot shows a clear pattern
Stock Prices vs. Years Since 1987
120
110
100
90
80
tock Price (Dollars)
60
20
Answer:
C
Step-by-step explanation:
These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.
What is the Scatter plot?The variables in the scatter plot made from the data are described by the independent variable, time, which is graphed along the horizontal axis.
A linear model is applicable if we can create a linear equation based on the connection between the independent and dependent variables (because there is no constant rate of change).
These scatterplots show that model type A is best suited to summarize the relationship between year and stock price. The scatterplot of the processed data is nearly linear, so a linear model is suitable.
Thus, despite its being curved, a linear model is adequate for this time and price scatterplot.
Learn more about the Scatter plot here:
brainly.com/question/1386565
#SPJ5
Simplify fully
a) 8⁴4d⁵÷2c³d³
Answer:
here it the answer
Step-by-step explanation:
hope it helps
find the equation of the straigt line
if you are correct then ill give you brainliest answer!
Given :
A graph with a straight line on it.
To Find :
The equation of the line.
Solution :
From the given graph we can see that the line passes through point ( 0,6 ) and ( 4,10 ) .
Also, equation of line passes through two points [tex](x_1,y_1)[/tex] and [tex]( x_2,y_2)[/tex] is :
[tex]y - y_1 = (\dfrac{y_2-y_1}{x_2-x_1})( x - x_1)[/tex]
Putting all given values, we get :
[tex]y - 6 = (\dfrac{10-6}{4-0})( x -0)\\\\y - 6 = x\\\\y -x = 6[/tex]
Therefore, the equation of line is y - x = 6 .
x + 13y + 8y
fastfastfastfast
Answer:
x+21y
Step-by-step explanation:
x+3y+8y
Group like terms
x+(3y+8y)
Find the measure of angle 1.
a. 95
b. 100
c. 105
Answer:
b. 100
Step-by-step explanation:
180-50-50=80
180-80=100
Given: EJ is an altitude of ADEF ?
Answer:
EEEEEEEEEEEEEEEEEE
Step-by-step explanation:
Please help me on #23 please help me please and thank you
Answer:
a.
Step-by-step explanation:
-1230<-220
Please help due soon will give brainliest
Answer:
G
Step-by-step explanation:
-4,1 because first is x axis and then y
Answer:
The answer is G (-4,1)
Step-by-step explanation:
The intersection means where the two lines meet. So look at that and you will find (-4,1) if that makes any sense.