Answers
Answer:
(- 3, 0 ) and (5, 0 )
Step-by-step explanation:
To find the x- intercepts let f(x) = 0 , that is
x² - 2x - 15 = 0
Consider the factors of the constant term (- 15) which sum to give the coefficient of the x- term (- 2)
The factors are - 5 and + 3 , since
- 5 × 3 = - 15 and - 5 + 3 = - 2 , then
(x - 5)(x + 3) = 0 ← in factored form
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 3 = 0 ⇒ x = - 3
The x- intercepts are (- 3, 0 ) and (5, 0 )
Related Questions
What is the length of the line segment with endpoints (11.6, −4.1) and (−12.5, −4.1) ?
Enter your answer as a decimal in the box.
helllpppp
Answers
Answer:
24.1 units
Step-by-step explanation:
Helen wants to paint a rectangle with an area of
35 square feet on her wall. If the height of the rectangle is 3 feet,
what is the width of the rectangle? (Remember, area = length x width.)
Write an equation and solve.
Answers
Problem 7, please answer the following step by step.
Answers
(a) This is the same as computing 4⁵⁵ (mod 11). We have
4² ≡ 16 ≡ 5 (mod 11)
4³ ≡ 4 • 5 ≡ 20 ≡ 9 (mod 11)
4⁴ ≡ 4 • 9 ≡ 36 ≡ 3 (mod 11)
4⁵ ≡ 4 • 3 ≡ 12 ≡ 1 (mod 11)
Then from here,
4⁵⁵ ≡ (4⁵)¹⁰ • 4⁵ ≡ 1¹⁰ • 1⁵ ≡ 1 (mod 11)
(b) Each term in the sum
4ⁿ + 4ⁿ⁺¹ + 4ⁿ⁺² + 4ⁿ⁺³ + 4ⁿ⁺⁴
has a common factor of 4ⁿ, so this sum is the same as
4ⁿ (1 + 4 + 16 + 64 + 256) = 4ⁿ • 341 = 4ⁿ • 11 • 31
So the sum is indeed divisible by 11 for all integers n.
(c) Since 4ⁿ = (2ⁿ)², we know the sum is also divisible by 11 when a = 2.
Please let me know if this is true or false?
Answers
Answer:true
Step-by-step explanation:
true
Which list orders –3, 2, 5, –1 from least to greatest?
–1, 2, –3, 5
–1, –3, 2, 5
–3, –1, 2, 5
5, 2, –1, –3
Answers
Answer:
--3,-1,2,5
all numbers from the left side are smaller than the those on the right
Answer:
-3,-1,2,5
Step-by-step explanation:
40% of the problems is 32 problems.
Answers
10% = 8
100% = 8 x 10 = 80
There are 80 problems
Answer:
80
Step-by-step explanation:
Change 40% to a decimal by moving the decimal 2 places left or divide 40 by 100. Write an equation.
[tex].4p = 32[/tex]
divide both sides by .4
[tex]p = 80[/tex]
y = x ^ 3 - 5x ^ 2 + 6x
Answers
Answer:
Step-by-step explanation:
y = x(x^2 -5x + 6) Factor out a common term (GCF)
y = x(x - 2) (x - 3) Factor the trinomial
(x - 2) = 0 (x - 3) = 0 x = 0
Therefore x = 2, 3, or 0
Abigail has a bag that contains pineapple chews, lemon chews, and watermelon
chews. She performs an experiment. Abigail randomly removes a chew from the bag,
records the result, and returns the chew to the bag. Abigail performs the experiment
35 times. The results are shown below:
A pineapple chew was selected 20 times.
A lemon chew was selected 7 times.
A watermelon chew was selected 8 times.
Based on these results, express the probability that the next chew Abigail removes
from the bag will be a flavor other than watermelon as a decimal to the nearest
hundredth.
Answers
Answer:
w=8
w+p+l = 35
=8\35 =0.228
Alejandra currently has a balance of $2,254 in her checking account. She deposits a $873.84 paycheck, a $25 rebate check, and a personal check for $358 into her checking account. She wants to receive $350 in cash. How much will she have in her account after the transaction?
Answers
Answer:
$3160.84
Step-by-step explanation:
2254 + 873.84 + 25 + 358 = 3510.84
3510.84 - 350 = 3160.84
How many teaspoons are in 1/2 cup
Answers
Answer:
there are 24 teaspoons in 1/2 cup
A collection of coins is worth $4.40 and is made up of nickels and dimes. If there are 75 coins total, how many dimes are in the collection?
Answers
Answer:
5.00
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
the nickels can add up to 60 nickels for 3$. then, i just started adding dimes until i get to $1.30 out of the remaining $1.40 (because we subtracted $3 from 60 nickels). we now have 73 coins. two more nickels adds 0.10, which finally gets us to the missing 1.40.
this probably didn't make sense, but I'm 98% sure its right.
What is the quotient? −4 1/2÷(−2 2/3)
Answers
Trapezoid ZOID is congruent to trapezoid TRAP. If vertices 2 and have coordinates (0, -2) and (0, -5) respectively, which of the following could be possible coordinates for vertex
(4.-0,5)
0 (-3.5, -3)
(-1.5, 1
(-4.5.-5)
Answers
The trapezoids are congruent if the corresponding sides of each trapezoid are equal
The option that gives the possible coordinates for the vertex I is the option;
[tex]\underline{(-4.5, -5)}[/tex]
Reason:
The given coordinates of the trapezoid TRAP = T(3, 5), P(3 2), R(6, 5), and A(7.5, 2)
The given coordinates of the trapezoid ZOID = Z(0, -2), and D(0, -5)
Required: The possible coordinates for a vertex on ZOID
Solution:
The given points of the trapezoid are the height of the trapezoid ZOID
The possible vertex of I, and O are;
I(4.5, -5), I(-4.5, -5), O(3, -2), O(-3, -2)Therefore;
The option that gives the possible coordinates (position) of a vertex I is the option [tex]\underline{(-4.5, -5)}[/tex]
Learn more here:
https://brainly.com/question/12871672
Answer:
The trapezoids are congruent if the corresponding sides of each trapezoid are equal
The option that gives the possible coordinates for the vertex I is the option;
(-4.5.-5)
Step-by-step explanation:
f(x)=(Power[x,2]+x)Power[e,-x]
Answers
am,sorry,no se si esta bien:(
OMG I NEED HELP BADLY RN
What are the coordinates of the point at H?
A.
(-3 , -3)
B.
(-3 , 3)
C.
(3 , 3)
D.
(3 , -3)
Answers
Answer:
it would be B, it goes x axis to y axis
Explanation:
Start where the x and y axis meet. This is the origin.
Move to the left 3 units. You'll be directly under point H.
Then move 3 units up to arrive at point H.
Moving to the left 3 means x = -3. Moving up 3 means y = 3.
Together we have the location (x,y) = (-3,3)
You can think of the x,y location as if it was an address on a map or longitude/latitude coordinates.
PLEASE HELP !!
What's the domain and range of the exponential growth function?
Answers
Answer:
you have to multiply the dividend by 2x+9y/22y
Step-by-step explanation:
i have glass in my hand 4 months after a car accident what should i do just continue to wait for it to come out?
Answers
Answer:
hello! im taking medical school rn to be a paramedic and what i would do is either get a pair of tweezers and get it out or go to your local hospital to get it quickly removed!
Step-by-step explanation:
Jordan has completed 5/8 of his homework assignment. What is the decimal equivalent of the amount of the assignment he has completed?
Answers
Answer:Try to see what you have to do and see if you have to divide and add subtract and multiply
Step-by-step explanation:
What is the perimeter?
Geometry!!!
Answers
Answer:
[tex]2\sqrt{29}+\sqrt{53}+5[/tex]
Step-by-step explanation:
The distance between A and B is a vertical distance of [tex]2[/tex] and a horizontal distance of [tex]5[/tex]. By the Pythagorean Theorem, [tex]AB=\sqrt{2^2+5^2}=\sqrt{29}[/tex].
The distance between B and C is [tex]5[/tex] by counting squares.
The distance between C and D is a vertical distance of [tex]2[/tex] and a horizontal distance of [tex]7[/tex]. By the Pythagorean Theorem, [tex]CD=\sqrt{2^2+7^2}=\sqrt{53}[/tex].
The distance between D and A is a vertical distance of 5 and a horizontal distance of [tex]2[/tex]. By the Pythagorean Theorem, [tex]DA=\sqrt{5^2+2^2}=\sqrt{29}[/tex].
So, the answer is [tex]\boxed{2\sqrt{29}+\sqrt{53}+5}[/tex]
OMG I NEED HELP BADLY RN
What are the coordinates of the point at H?
A.
(-3 , -3)
B.
(-3 , 3)
C.
(3 , 3)
D.
(3 , -3)
Answers
Answer:
B (-3,3)
Step-by-step explanation:
coordinates are x,y and h has -3x and 3y
A peregrine falcon can fly 322 kilometers per hour. How many meters per hour can the falcon fly?
Answers
322000 meters
that should be your answer
I need help with this one! Anyone, someone help
Answers
Answer:
Equation: P(w) = 4w + 8
Step-by-step explanation:
The step is zero. That and being told that the relationship is linear.
The general equation is P(w) = mw + y intercept.
When w = 0 then P(w) = 8
The only way that can happen is when P(w) = 0 + y intercept
y intercept = 8 because P(w) = 8
So far what we have is P(W) = mx + 8 So you are starting with 8 rats.
Now suppose w = 2. The number of rats P(2) that you get is 16
So you are solving for m.
16 = m*2 + 8 Subtract 8 from both sides
16 - 8 = 2*m + 8 - 8 Combine
8 = 2m Divide by 2
8/2 = 2m/2
m = 4
Here is a Venn diagram that represents the sets A, B and E (the universal set is called
Ein this
problem, this is unusual, but not wrong).
Answers
Answer:
i don't know how to answer this
Answer:
there is no diagram so, it is not possible to solve this
3/7 in decimal form rounded to the nearest thousandth
Answers
Answer:
3/7=0.4285
Step-by-step explanation:
0.4285
= 0.429
no need to answer correctly just say 2 Points :)
1+1=
:Have a good:
:day:
Answers
Answer:
1+1=2
have a nice day...
Answer:
2 Is the answer
Step-by-step explanation:
TJANK YOU you too!!
Homer and Marge had
dinner at the Main Street
Café. Their bill was
$35.28. If they tip their
waitress 15%, how much
of a tip will they leave?
Answers
Answer:
$5.29
Step-by-step explanation:
The tip was 15% U take that 15% and divide it by 100
whatever the answer was multiply it by a $35.28
Solve 1.5x = 12 for x. O A. x= 13.5 O B. x = 6 O C. x = 10.5 O D. x = 8
Answers
Answer:
x=8
Step-by-step explanation:
1.5x = 12
Divide each side by 1.5
1.5x/1.5 = 12/1.5
x =8
x = 8
Step-by-step explanation:
[tex]\begin{aligned}\tt 1.5x&=12\\\tt\frac{3}{2}x&=\tt 12\to(\times~2)\\\tt 3x&=\tt 24\\\tt x&=\tt\frac{24}{3}\\\tt x&=\tt 8\end{aligned}[/tex]
Jackson has one dollar bills and dimes in his pocket. The number of one dollar bills is nine more than six times the number of dimes. Let d represent the number of dimes. Write an expression for the number of one dollar bills
Answers
Answer:
6d+9 = $
Step-by-step explanation:
What number could replace ppp below?
\dfrac{20}{p} = \dfrac{2}{10}
p
20
=
10
2
start fraction, 20, divided by, p, end fraction, equals, start fraction, 2, divided by, 10, end fraction
p={}p=
Answers
p = 100
Step-by-step explanation:
[tex]\begin{aligned}\tt\dfrac{20}{p}&=\tt\dfrac{2}{10}\\\tt 2p&=\tt 20\cdot 10\\\tt 2p&=\tt 200\\\tt p&=\tt\dfrac{200}{2}\\\tt p&=\tt 100\end{aligned}[/tex]
What is the quotient of 3 and 1/5?
Answers
Answer:15
Step-by-step explanation: use a calculator