Answer:
Other root is 9 and p = 7.
Step-by-step explanation:
x^(2) - (3p-4)x + 11p-5 = 0 , x = 8.
Let the other root be A, then using the formula for the product and sum of the roots of a quadratic equation:
8* A = 11p - 5
8 + A = -(-(3p - 4))
8 + A = -(-3p + 4)
8 + A = 3p - 4
A = 3p - 12.
Multiply this last equation by 8:
8A = 24p - 96
Now subtract the first equation from this:
8A - 8A = 24p - 11p - 96- (-5)
0 = 13p - 91
13p - 91 = 0
p = 91/13 = 7
and A = 3(7) - 12
= 9.
Answer:
Other root 9, p is 7
Step-by-step explanation:
please help me!
Compare the graph of f(x) = 6x and the graph of g(x) = 6x – 12. Then complete the sentence. The graph of g is a _____ translation of the graph of f _____ units _____.
Answer:
The graph of g(x) is a vertical translation of f(x). Although both have the same x coordinates but different y coordinates.
The graph of g is a vertical translation of the graph of f 12 units downward.
Step-by-step explanation:
The equation y=f(x)+k represents that when k is negative, the graph moves downward.
The complete the sentence is The graph of g is a vertical translation of the graph of f 12 units downward.
What is Translation?Translation is the act of moving a shape or a figure from one location to another. A figure can move in translation up, down, right, left, or anywhere else in the coordinate system. Only the object's position changes during translation; its size stays the same.
Given:
f(x) = 6x
and, g(x) = 6x – 12.
As, -12 shows the vertical translation of 12 units.
Also, The graph of g(x) is a vertical translation of f(x).
Despite having distinct y coordinates, both objects have the same x coordinates.
So, The graph of g is a vertical translation of the graph of 12 units downward.
Learn more about Translation here:
https://brainly.com/question/12463306
#SPJ2
pls help i am on a timer
Answer: (x-6)(x+1)
Step-by-step explanation:
Sum : x2 − 5 x- 6
x2 + x-=6 x − 6
factor pair: x 2 + x − 6 x − 6
x( x+ 1 ) − 6 ( x + 1 )
rewrite from: x (x + 1 ) − 6 ( x + 1 )
(x-6)(x+1)
Answer:
A: (x-6)(x+1)
Step-by-step explanation:
We need to find 2 numbers that add to make -5 and multiply to make -6.
We already have the numbers infront of us, so by process of elimination we can remove B and D.
For the numbers, we need a positive number and a negative number (two negatives make a positive). We can eliminate C because at first -3 multiplied by 2 is -6. However, when -3 is added to 2 we get -1.
If we expand A, it makes the expression that needs to be factorised because...
-6 × 1 = -6
-6 + 1 = -5
So expanding it properly we get.
x² - 6x + x - 6
Simplify.
x² - 5x -6
Simplify the expression by combining like terms
34 -11c-7+2c
Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minutes. Who squeezed lemons at a faster pace?
A)liz
B)Rick
this is Compare rates: word problems please show and explain the work show WORK
Graph the line with slope -5 and y-intercept 7.
Answer:
start your grap at (0,7) and go up 5 to the right 1 and down 5 to the left 1
Solve for the variable
X-11 = 8
fill in the missing number 21-(-17)=21+...
Answer:
the answer of 21-(-17)=21+17=38
3. Solve for x. Round to the nearest tenth *
25
16
22
Answer:
51.3 degrees
Step-by-step explanation:
solve the equation -16(d+1) =-20
Answer:
d= 1/ 4
Step-by-step explanation:
Answer: 1/4
Step-by-step explanation:
-16(d + 1) = -20
-16d - 16 = -20
-16d - 16 + 16 = -20 + 16
-16d = -4
-16d/-16 = -4/-16
d = 1/4
What is the measure of angle C?
Answer:
48
Step-by-step explanation:
57 + 27 = 84
180 - 84 = 96
96 ÷ 2 = 48
Triangle XYZ is rotated 90° counterclockwise about the origin.
What are the coordinates of point Y’?
(4, –2)
(1, 4)
(–4, 1)
(–1, –4)
Answer:
i think 42
Step-by-step explanation:
Answer:
B -(1,4)
Step-by-step explanation:
Find the degree of 3y4+ 5y
Answer:
4
Step-by-step explanation:
(3y^4+5y) =
(3⋅y^4+5⋅y)
=4
PLSSSS HELPPPP, i need to identify slope and y intercept also have to write a linear equation!!!
Answer:
y int= 12.50
slope= 2.00
equation= y=2x+12.5
Step-by-step explanation:
the y intercept in this case is the cost when you've watched 0 movies- its the initial price you pay, or the y value when the x value is equal to 0
the slope is the cost of each movie, or the increment by which the y values goes up when the x value goes up by 1 in this case. (for example the slope would be 5 if the movie price were 5 for each one movie)
y=mx+b is the equation for a linear equation, where m is the slope and b is the y intercept.
please help me i need help
Answer:
21/8 cups of vegetables per cup of cheese
There is a cube that is 1 unit long, 1 unit wide,
and 1 unit deep. What is the volume of this
cube?
a. 4 cubic units
b. 3 cubic units
c. 2 cubic units
d. 1 cubic unit
Evaluate the expression 9.3^1
Answer:
9.3
Step-by-step explanation:
50 students were randomly sampled and asked if they preferred Coke or Pepsi. 12 preferred Pepsi. If there are 620 students in the school how many students would you expect in the entire school to prefer Coke?
Answer:
around 470 students would prefer coke
Step-by-step explanation:
50 - 12 = 38
38 / 50 = 76%
620 (0.76) = 471.2
PLEASEEE HELP ME I HAVE 1 minute left
Answer:
2/3 is answer
Step-by-step explanation:
SOMEBODY PLEASE TELL ME HHOW TO MAKE FRACTIONS INTO PERCENTS WORTH 20 POINTS
Step-by-step explanation:
Easy steps!
Turn the fraction into a decimal first (or in other words, divide) (For Example: 1/2 = 0.5)Move the decimal point to the right TWO times, and voila (For example: 0.5 = 50%)adam is rewriting the expression
Answer:
Adam is typing...
Step-by-step explanation:
What is an equation of the line that passes through the points (-6, 2) and
(-4, -1)? Put your answer in fully reduced form.
Answer (assuming the equation can be written in point-slope form):
[tex]y-2 = -\frac{3}{2}(x+6)[/tex]
Step-by-step explanation:
When knowing a point the line crosses through and its slope, you can write an equation in point-slope form, or [tex]y-y_1= m (x-x_1)[/tex].
1) First, find the slope of the line. Use the slope formula [tex]\frac{y_2-y_1}{x_2-x_1}[/tex] and the x and y values of the two points given, then solve like so:
[tex]\frac{(-1)-(2)}{(-4)-(-6)}\\= \frac{-1-2}{-4+6}\\= \frac{-3}{2}[/tex]
Thus, the slope is [tex]-\frac{3}{2}[/tex].
2) Now, use point-slope form, [tex]y-y_1= m (x-x_1)[/tex]. Substitute the [tex]m[/tex], [tex]x_1[/tex], and [tex]y_1[/tex] for real values.
The [tex]m[/tex] represents the slope, so substitute [tex]-\frac{3}{2}[/tex] in its place. The [tex]x_1[/tex] and [tex]y_1[/tex] represent the x and y values of one point the line crosses through. Any of the two points will work, and I chose (-6,2) for this answer. So, substitute -6 for
[tex]y-(2)= -\frac{3}{2}(x-(-6)\\y-2 = -\frac{3}{2}(x+6)[/tex]
Solve this system of linear equations. Separate the x- and y- values with a comma.
17x = 43 - 15y
8x = -68 + 15y
Answer:
(-1,4)
Step-by-step explanation:
Using elimination, add the two equations to get rid of the y variable.
17x = 43 - 15y
+8x = -68 + 15y
=25x = -25
x = -1
Now plug in -1 for x in any of the equations.
17(-1) = 43 - 15y
-17 = 43 - 15y
-60 = -15y
y = 4
In the figure below, AB is a diameter of circle P.
What is the arc measure of major arc ABC in degrees?
Answer: 249
Step-by-step explanation: Khan Academy
Answer:
111
Step-by-step explanation:
GOT IT RIGHT!
Please help with what you can!
Thank you!
Answer:
The answer to number 9 is: 148.16
If 500 calories adds 1 pound to your weight how many 1000 calorie banana splits would you need to eat to gain 10 pounds
Answer: 5
Step-by-step explanation:
each banana split is equal to 2 lbs. therefore, to gain 10 lbs. you need to eat 5 banana splits.
500cal = 1 lb.
1000cal = 1 banana split
1 banana split = 2lbs.
to gain 10lbs, divide 10lbs by 2lbs = 5 banana splits
PLEASE HELP!!!
The perimeter of a rectangular coffee table is given by the trinomial 2t2+4t+2. The table's length is 2t-3. What is the table's width?
Answer:
t^2+4
Step-by-step explanation:
The perimeter of the table can be given by the equation 2l+2w, and we know the length is 2t-3, meaning 2(2t-3)+2w=2t^2+4t+2, as we know 2t^2+4t+2 is the perimeter. Simplifying we get:
4t-6+2w=2t^2+4t+2
4t+2w=2t^2+4t+8
2w=2t^2+8
w=t^2+4
This means that the table's width is t^2+4
PLEASE I REALLY NEED YOUR HELP!
Answer:
x = 28
m∠ACD = 68°
Step-by-step explanation:
∠BAE ≅∠DAC because they are vertical angles
∠ACD = 180 - 124 = 56°
to find 'x': 56 + 2x + (180 - 4x) = 180
236 - 2x = 180
-2x = -56
x = 28
m∠ACD = 180 - 4(28) = 180 - 112 = 68°
HAIRCUT Josiah went to the local
barber to get his hair cut. It cost
$18 for the haircut. Josiah tipped
the barber 15%. What was the total
cost of the haircut including the
tip?
Elizabeth swims 50 feet in ten seconds. Jesse swims 110 feet in 20 seconds.
Reagan swims 160 feet in half a minute. Who swims fastest?
Answer: Jesse
Step-by-step explanation:
Elizabeth - 50f/10s
Jesse - 55f/10s
Reagan - 53.3333333/10s
Jesse is the fastest
Answer:
I think that Jessie swam the fastest
Step-by-step explanation:
Jessie swam the fastest bc Reagan only swims 160 feet in half a minute and 110 is less than 160 and 20 + 20 =40 so if Jessies swimming speed and time was multiplied by 2, she would still swim faster!
(sorry Im not the best at math but I hope you can understand my logic lol)
what is the initial value of the function:
f(x)=3/2(2)^x
Answer:
the initial value -- f(0) -- results in a value of 1.5
Step-by-step explanation:
f(0) = [tex]\frac{3}{2}[/tex] · [tex]2^{x}[/tex] (any value raised to the power of zero equals one)
f(0) = [tex]\frac{3}{2}[/tex] · 1
f(0) = 3/2 or 1.5