Since a and b are roots of y² + 5y - 11, we have
y² + 5y - 11 = (y - a) (y - b)
and expanding the right side gives
y² + 5y - 11 = y² - (a + b) y + ab
so that
a + b = -5
ab = -11
Now,
(a + 3) (b + 3) = ab + 3 (a + b) + 9
(a + 3) (b + 3) = -11 + 3 (-5) + 9
(a + 3) (b + 3) = -17
A right square pyramid is shown. The height of the pyramid is 6 units. The distance from the center of the base of the pyramid to vertex D is 2.5 units, as shown. Find the length of segment AD, in units.
Answer:
Length of side AD is 6.5 units.
Step-by-step explanation:
Let the center of the rectangular base of the given pyramid is O,
From the picture attached,
m∠AOD = 90°
By applying Pythagoras theorem in the right triangle AOD,
AD² = AO² + OD²
AD² = 6² + (2.5)²
AD = √42.25
AD = 6.5 units
Therefore, length of side AD is 6.5 units.
1/4(B-16)=7
Help pleasseee
B=44 i would show my work but i cant take pictures on this school laptop
please help ill give brainliest and 60 points :((( im gonna cry
Answer:
All systems have 2 real solutions.
Step-by-step explanation:
there are X and Y unknowns.
I can't afford to fail right now!
THE QUESTION IS: Paul and Seth know that one point on a line is (4, 2) and the slope of the line is −5. Each student wrote a different equation relating x and y.
A. Do the two equations represent the same line? Construct a mathematical argument to support your answer.
Answer:
Screenshot
Step-by-step explanation:
Answer:
Yes they represent the same line
Step-by-step explanation:
-5x+20=y-2 ( Seth equation simplified)
-5x+22=y ( Seth equation isolate y)
Paul equation = Seth equation
school lunches cost $14.50 per week. About how much would 5.5 weeks cost of lunches
Answer:
The answer should be about $81.20
Step-by-step explanation:
$14.50 x 5weeks = $72.50
A school week is usually 5 days.
The middle of the week is Wednesday, so that's 3 whole days.
$14.50 / 5days = $2.90 per day
$2.90 x 3days = $8.70
$72.50 + $8.70 = $81.20
Which of the following expressions is equal to 2x^2 +8?
A. (2x - 4i)(x-2i)
B. (2x-4i)(x+2i)
C. (2x-2i)(x+6i)
D. (2x +4i)(x+2i)
Answer:
i think of
Step-by-step explanation:
c is your answer
Answer:
B
Step-by-step explanation:
Expanding the products using FOIL , noting that i² = - 1
A
(2x - 4i)(x - 2i)
= 2x² - 4ix - 4ix + 8i²
= 2x² - 8ix - 8 ≠ 2x² + 8
B
(2x - 4i)(x + 2i)
= 2x² + 4ix - 4ix - 8i²
= 2x² + 8 ← True
C
(2x - 2i)(x + 6i)
= 2x² + 12ix - 2ix - 12i²
= 2x² + 10ix + 12 ≠ 2x² + 8
D
(2x + 4i)(x + 2i)
= 2x² + 4ix + 4ix + 8i²
= 2x² + 8ix - 8 ≠ 2x² + 8
Thus
(2x - 4i)(x + 2i) = 2x² + 8 → B
a graph passes through the points (0,2),(1,3), and (2,4). Does this graph represent a linear function or a non linear function?
9514 1404 393
Answer:
linear
Step-by-step explanation:
The slope of the line between the first pair of points is ...
m = (y2 -y1)/(x2 -x1)
m = (3 -2)/(1 -0) = 1/1 = 1
The slope of the line between the second pair of points is ...
m = (4 -3)/(2 -1) = 1/1 = 1
The slopes are the same, so the points are on the same line. The graph is that of a linear function.
The new Play-station has a regular price of $500.00. Gamer Stop is having an after New
Year's sale offering a 15% discount. What will the sale price be for the new Play-station?
PLEASE HELP!!! Any help will be greatly appreciated
What is the slope of the line that passes through the points (-3, -3) and (-9, 5) Write your answer in simplest form.
Step-by-step explanation:
The slope of the line is -4/3.
Hi I really need help you’ll get 100 if you answer and I’ll give u brainliest!
question is pictured
Answer:
solution given:
A=l w
now
dividing both side by w ,we get
[tex] \frac{A}{w} [/tex]=[tex] \frac{lw}{w} [/tex]
l =[tex] \frac{A}{w} [/tex]
is your answer
A 32-ounce package of a snack mix is 24 percent pretzels. How many ounces are pretzels?
0.706 ounces
0.768 ounces
7.06 ounces
7.68 ounces
Answer:
the correct answer is choice D. if 24 precent of the snack mix is pretzels we simply need to multiply the total number of ounces by 0.24 7.68 ounces of the snack mix will be pretzels
A book and a pen cost $18. The book and 2pens cost $21. What is the cost of the book
Answer:
15 dollars
Step-by-step explanation:
21 - 18 = 3
18 - 3 = 15
I hope this helps have a good day and stay safe!
Answer:
15
Step-by-step explanation:
one pen is three dollars. that leaves 15 dollars left over.
If correct may l please have brainliest?
Solve for x. 5x - 29> -34 OR 2x +31 < 29
Answer:
x > -1 or x < -1
Step-by-step explanation:
In this question, you would solve the inequalities.
Solve:
Inequality 1:
5x - 29> -34
Add 29 to both sides
5x > -5
Divide both sides by 5
x > -1
Inequality 2:
2x +31 < 29
Subtract 31 from both sides
2x < -2
Divide both sides by 2
x < -1
Your answer would be: x > -1 or x < -1
PLS ANSWER I NEED HELP
Which input value produces the same output value for the two functions on the graph?
f)--x1
ot) -x-2
3
g(x)
9514 1404 393
Answer:
x = 3
Step-by-step explanation:
Each line shows you the output value for a given input value. If you want a particular input value to give the same output for both functions, then you need to find the point where the lines cross. This question asks for the input value at that point, the x-coordinate.
The lines cross at (x, y) = (3, -1), so x = 3 produces the same output from both functions.
HELP MEEE PLZ :( Saeed sells beaded necklaces. Each large necklace sells for 6.50 $ and each small necklace sells for4.90$ . How much will he earn from selling7 large necklaces and 6 small necklaces?
Answer:
74.9
Step-by-step explanation:
Help plz quick ASAP I just need help
Answer:
$11.60
Step-by-step explanation:
$9.39
Tax: 3.5%
3.5 ÷ 100 = 0.035 × 9.39 = 0.33
Tax 0.33
9.39 + 0.33 = $9.72
Tip: 20%
20÷ 100 = 0.2 × 9.39 =1.88
tip 1.88
9.72 + 1.88 = 11.60
total $ 11.60
1) Find the inverse of the function below. Use g-1(x) to indicate the inverse 5 points
function. Use SQRT to indicate square root and use parenthesis for
fractions. Example: 9-1(x)=SQRT{(x-2)/3)-6 *
g(x) = 2(x – 3)2 + 4
Your answer
Answer:
g-1(x)=SQRT{(x-4)/2} + 4
Step-by-step explanation:
I assume that the 2 is the exponent so ^ represents exponent
We know your function is g(x)=2(x-3)^2+4
For inverse functions we swap x and y values, note g(x) is like the y value
Isolate for y
y=2(x-3)^2+4
x=2(y-3)^2+4
(x-4)/2 = (y-3)^2
SQRT{(x-4)/2} + 4 = y
Therefore g-1(x)=SQRT{(x-4)/2} + 4
I dont understand area and perimeter
Answer:
my hand writing is sloppy hope it helps tho
Step-by-step explanation:
The measures of the angles of a triangle are shown in the figure below. Solve for x. 4
Volume of largest figure
Answer:
D= 3375
im not gr8 at math lol ;/
What is 6% sales tax on a $12
pair of mittens?
Answer:
0.72$
Step-by-step explanation:
Sean and his chartered a fishing boat for the day Sean caught a blue marlin and an amberjack. The weight of the blue marlin way 12 times as great of the amberjack. The combined weight of both fish was 273 pounds. How much did each fish weight
Answer:
The weight of the blue marlin = b = 252 pounds
The weight of the amber jack = a = 12 pounds
Step-by-step explanation:
Sean and his chartered a fishing boat for the day Sean caught a blue marlin and an amberjack.
Let
The weight of the blue marlin = b
The weight of the amber jack = a
The weight of the blue marlin weigh 12 times as that of the amberjack.
b= 12a
The combined weight of both fish was 273 pounds.
= a + b = 273 pounds
b = 12a
Hence
a + 12a = 273 pounds
13a = 273 pounds
a = 273 pounds/13
a = 21 pounds
b = 12a
b = 12 × 21 pounds
= 252 pounds
Hence:
The weight of the blue marlin = b = 252 pounds
The weight of the amber jack = a = 12 pounds
PART B Does the order in which you add -6 and 6 matter? Explain your
reasoning.
Nyour
answer
Answer: It does not matter.
Step-by-step explanation:
-6 + 6 = 0
6 + (-6) = 0
This means that the order doesn't matter.
hope this helps!
9. Which of these relations is a function?
Answer:
the answer is b
Step-by-step explanation:
What’s the answer help please?????
Answer:
midpoint formula is the answer
Given the figure below, find the values of x and z.
(10x - 65)
(9x - 49)
Which expression is equivalent to -9a-10-6a+7−9a−10−6a+7
Answer:
−30a−6
Step-by-step explanation:
Let's simplify step-by-step.
−9a−10−6a+7−9a−10−6a+7
=−9a+−10+−6a+7+−9a+−10+−6a+7
Combine Like Terms:
=−9a+−10+−6a+7+−9a+−10+−6a+7
=(−9a+−6a+−9a+−6a)+(−10+7+−10+7)
=−30a+−6
BRAINLIEST. if you don't mind.
Im confused... what do I do this?? (Just 14 btw) thank youuuuu
Answer:
1=-1/5 2=11/20 3=149/25
Step-by-step explanation:
I get it you have to put the number into your calculator then turn it into a fraction
hop this helps
-mercury
Answer:
11/20
Step-by-step explanation:
convert to a simplified fraction by placing the numbers to the right of the decimal over 100 then, reduce the fraction.
20 balloons have to be devided between a group A and Group B in the ratio 2:3. How many balloons will each group receive?
Answer:
There are 8 and 12 balloons for groups A and B, respectively.
Step-by-step explanation:
The ratio 2 : 3 means that there are 2 balloons in group A for each 3 balloons in the group B. The amounts of balloons asigned to each groups are determined by the following formulas:
Group A
[tex]n_{A} = \frac{2}{2+3}\cdot (20)[/tex]
[tex]n_{A} = 8[/tex]
Group B
[tex]n_{B} = \frac{3}{2+3}\cdot (20)[/tex]
[tex]n_{B} = 12[/tex]
There are 8 and 12 balloons for groups A and B, respectively.
Can someone help me out if you can, i just want someone to help me out with this problem if not that’s okay
Answer:
consecutive interior angles equal 180 not equal to each other
Step-by-step explanation:
Answer:
6x− 1 0 = 4 + 4 0
6x-10=4x+40
6x−10=4x+40
Solve
1
Add
1 0
10
10
to both sides of the equation
6 − 1 0 = 4 + 4 0
6x-10=4x+40
6x−10=4x+40
6 − 1 0 + 1 0 = 4 + 4 0 + 1 0
6x-10+{\color{#c92786}{10}}=4x+40+{\color{#c92786}{10}}
6x−10+10=4x+40+10
2
Simplify
Add the numbers
Add the numbers
6 = 4 + 5 0
6x=4x+50
6x=4x+50
3
Subtract
4 4x 4x
from both sides of the equation
6 = 4 + 5 0
6x=4x+50
6x=4x+50
6 − 4 = 4 + 5 0 − 4
6x{\color{#c92786}{-4x}}=4x+50{\color{#c92786}{-4x}}
6x−4x=4x+50−4x
4
Simplify
Combine like terms
Combine like terms
2x=50
5
Divide both sides of the equation by the same term
2x=50
2 /2 = 5 0 /2
\frac{2x}{{\color{#c92786}{2}}}=\frac{50}{{\color{#c92786}{2}}}
22x=250
6
Simplify
Cancel terms that are in both the numerator and denominator
Divide the numbers
= 2 5
Solution
= 2 5
Step-by-step explanation:
I'm sorry my stuff is coming off weird