Answer:
x = -7
Step-by-step explanation:
( 5 x − 15 ) 2 = − 100
10x - 30 = - 100
10x = -70
x = -7
Answer:
x = -7
Step-by-step explanation:
[tex]\left(5x-15\right)\cdot \:2=-100\\\\\frac{\left(5x-15\right)\cdot \:2}{2}=\frac{-100}{2}\\5x-15=-50\\5x-15+15=-50+15\\5x=-35\\\\\frac{5x}{5}=\frac{-35}{5}\\\\x=-7[/tex]
4. Identify the zeros and the graph of the function y = x(x − 2)(x + 5).
The zeros of
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
are
x=0,x=-2,x=-5x=0,x=−2,x=−5
EXPLANATION
The given function is
y = x(x + 2)(x + 5)y=x(x+2)(x+5)
To find the zeros of the above function, we just have to equate the function to zero and solve for x.
x(x + 2)(x + 5) = 0x(x+2)(x+5)=0
This implies that,
x = 0 \: \: or \: x + 2 = 0 \:or \: x + 5 = 0x=0orx+2=0orx+5=0
x = 0 \: \: or \: x = - 2\:or \: x = - 5x=0orx=−2orx=−5
To graph the above function, we need to consider the multiplicity.
We can see that the multiplicity of the roots are odd. This means that, the graph crosses the x-axis at each x-intercept.
We also need to consider the position of the graph on the following intervals,
x < - 5x<−5
When
x = - 10x=−10
y = - 10( - 8)( - 5) \: < \: 0y=−10(−8)(−5)<0
The graph is below the x-axis.
- 5 \: < \: x \: < \: - 2−5<x<−2
When
x = - 3x=−3
y = - 3(2)( - 1) \: > 0y=−3(2)(−1)>0
The graph is above the x-axis.
- 2 \: < \: x < \: 0−2<x<0
when
x = - 1x=−1
y = -1(1)(4) \: < \: 0y=−1(1)(4)<0
The graph is below the x-axis.
Finally the interval,
x \: > \: 0x>0
when
x = 1x=1
y = 1(3)(6) \: > \: 0y=1(3)(6)>0
The graph is above the x-axis.
We can now use the above information to sketch graph as shown in the diagram above
Can someone one help me with this question Real quick
Answer:
5
7
..................
Answer:
y equals -2x -7
y equals 3/4 x plus 2 1/2
Simple true or false...
d/dx{x^3e^x]=x^3e^x(3x+2)
True or false
Answer:
False.
General Formulas and Concepts:
Algebra I
Terms/Coefficients
FactoringCalculus
Differentiation
DerivativesDerivative NotationDerivative Rule [Basic Power Rule]:
f(x) = cxⁿf’(x) = c·nxⁿ⁻¹Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)[/tex]
Step-by-step explanation:
Step 1: Define
Identify.
[tex]\displaystyle \frac{d}{dx}[x^3e^x][/tex]
Step 2: Differentiate
Derivative Rule [Product Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = \frac{d}{dx}[x^3]e^x + x^3 \frac{d}{dx}[e^x][/tex]Derivative Rule [Basic Power Rule]: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3 \frac{d}{dx}[e^x][/tex]Exponential Differentiation: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = 3x^2e^x + x^3e^x[/tex]Factor: [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex]∴ [tex]\displaystyle \frac{d}{dx}[x^3e^x] \neq x^3e^x(3x + 2)[/tex] but [tex]\displaystyle \frac{d}{dx}[x^3e^x] = (x^3 + 3x^2)e^x[/tex].
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Differentiation
6t – 6t
Please answer this :)
That would probably be zero for the answer, because if a number or an equation subtracts the same number or equation it will cancel itself out. Thus giving us zero.
Hope this help :D.
100 inches = 254 centimeters
Use the conversion above to answer the following questions,
A pencil measures 10 inches, How many centimeters is the pencil?
The pencil measures
centimeters
Answer:
A pencil is about 19 centimeters long
Answer:
if 100 inches=254 centimeters
then 10 inches=x
100x=2540
x=2540/100
x=25.4 centimeters
please help ASAP!!!
Answer: y = 115 and x = 78
Step-by-step explanation:
y = 115 because it is parallel with the angle 115 and parallel are congruent, for x find the angle beside the angle 102 and that angle is parallel with the angle x and that will be 180 - 102 = 78 which is x
PLEASE HELP
Jed has 352 stickers in his sticker collection. He wants
to put them in an album. The album holds 8 stickers per
page. How many pages will Jed need? *Show your work
for full credit using any method to solve the problem.
10 + (-3 3/8) = i need the answer
Answer:6 . 625 or 6 5/8
Step-by-step explanation
10 + (-3 3/8) (adding a negative is like subtracting a positive)
10 - 3 3/8
6 5/8
A bag with 12 marbles has 4 red marbles , 3 yellow Marbles ,5 blue marbles. A Marble is chosen from the bag at random . What is the probability that is not red
Answer:
2/3
Step-by-step explanation:
The answer is simple; the number of non-red marbles over the number of total marbles.
Which number is divisible by both three and nine?
Select the Hint button to view a hint.
A.21,369 B. 36,359 C. 48,618 D. 56,783
Answer:
answer is
A.21,369 or D. 56,783
Step-by-step explanation:
am not sure but am mostly sure it is D but i dont know i think is A to but am
99% is D
hope it helps
Answer:
Your answer is C 48,618
Step-by-step explanation:
if you add the sum up of all of the digits it is divisible by both three and nine.
can i plz get brainliest.
Write the equation of the line that passes through the points (0,8) and (-1,-4).
Put your answer in fully reduced point-slope form, unless it is a vertical or horizontal
line.
a
Step-by-step:
Use slope formula to find the slope. (y - y)/(x - x)
Make sure the x and y in front of the minus is a pair that goes together, as well as the x and y behind the minus sign. So
8 - -4 goes on top, that's 12
0 - -1 goes under, thats 1
12/1 is the slope which is just 12. Use either point to fill in the second x and the second y in the point-slope equation. m is the slope.
y - y = m(x - x)
y - 8 = 12(x - 0)
y - 8 = 12x
Will's Burger Place made 29 burgers. 18 of the burgers had onions. What is the ratio of the number of burgers without onions to the total number of burgers?
Write your answer as a fraction. Use a slash ( / ) to separate the numerator and denominator.
Answer:
11:18
Step-by-step explanation:
Hope this helped!
Two families go ice skating one day. The first family spends $25 on skate rentals for 5 kids and 2 adults. The second family spends $14 in skate rentals for 3 kids and 1 adult. How much do each child's skate rental (x) and each adult's skate rental (y) cost?
Answer: x = 3 and y = 5
Step-by-step explanation:
If √2 = 1.414, then the value of 1/2 √16200.
please friends koi to solve kar do.
Given that √2 = 1.414
The value of (1/2)√(16200)
16200 can be written as
16200 = 2×8100
16200 = 2×2×4050
16200 = 2×2×2×2025
16200 = 2×2×2×5×405
16200 = 2×2×2×5×5×81
16200 = 2×2×2×5×5×3×27
16200 = 2×2×2×5×5×3×3×9
16200 = 2×2×2×5×5×3×3×3×3
√16200 = √(2×2×2×5×5×3×3×3×3)
√16200 = √2×(2×2)×(5×5)×(3×3)×(3×3)
√16200 = 2×5×3×3√2
√16200 = 90√2
Now,
(1/2)√16200
⇛(1/2)×90√2
⇛90√2/2
⇛45√2
⇛45×1.414
⇛63.63
Answer: Hence, value of (1/2)√(16200) is 63.63
also read similar questions: if √2=1.414 and√3=1.732,find the value of 1/√2+√3..
https://brainly.com/question/12837303?referrer
If √2 = 1.414 then the value of 5+√2 / 5-√2 is..
https://brainly.com/question/25047005?referrer
The value of 1/2√16200 given the value of √2 = 1.414 is 63.63
How to use prime factorization to solve square rootPrime factorization of √16200
= 3 × 3 × 5 × √2
= 90√2
Given:
√2 = 1.4141/2√16200
= 1/2 × 90√2
= 90√2 / 2
= 45√2
= 45 × √2
= 45 × 1.414
= 63.63
Therefore, the value of 1/2√16200 is 63.63
Learn more about prime factorization:
https://brainly.com/question/9523814
the histogram shows the GPAs of the students in george’s class. Estimate the mean of the data set displayed in the histogram.
Using the histogram, the mean of the data-set is estimated to be of 31.
The mean, given an histogram, is the sum of the halfway points of each interval multiplied by it's relative frequency.In this problem, the intervals and relative frequencies are:
The first interval has halfway point 23 and relative frequency [tex]\frac{4}{30}[/tex].The second interval has halfway point 28 and relative frequency [tex]\frac{8}{30}[/tex].The third interval has halfway point 33 and relative frequency [tex]\frac{14}{30}[/tex].The fourth interval has halfway point 38 and relative frequency [tex]\frac{4}{30}[/tex].Hence, the mean is:
[tex]E(X) = 23\frac{4}{30} + 28\frac{8}{30} + 33\frac{14}{30} + 38\frac{4}{30} = \frac{23(4) + 28(8) + 33(14) + 38(4)}{30} = 31[/tex]
For more on mean of histograms, you can check https://brainly.com/question/24651197
What is the initial value of the exponential function shown on the graph?
A : 0
B : 1
C : 2
D : 4
I need help with the multiple choice
Answer:
d
Step-by-step explanation:
they intersect but aren't perpendicular.
how many cubes each of 2 cm length can be kept inside of a cube of 6 CM length
Answer:
Hence 27 cubes can be obtained.
Step-by-step explanation:
Volume occupied by one cube of side 2cm = 2*2*2 = 8cm^3
Volume of cube of side 6cm = 216cm^3
Number of cubes of side 2cm which would fit in a cube of side 6cm = 216/8 = 27 cubes
Five times the difference of a number and 8 is 19.
Evaluate the expression below at x = 6.
i linked the numbers in a image
A.
606
B.
396
C.
468
D.
1,692
Answer:
B
Step-by-step explanation:
you can break the 78 into 70 and 8, and multiply them separately by 6 and then add the two answers to get 468
The value of y varies directly with x. When y = 35, x=1/2.
what is the value of y when x is 1 1/4?
John gets his haircut at Billy's Barbershop. The barbershop charges $25 for a haircut. John has a 20% off
coupon for his birthday. After the discount is applied, John tips Billy 18%. How much does John spend in total at
the barbershop?
amount
% = new
amount
25
20
Answer:
John spends $23.60 at the barbershop.
Step-by-step explanation:
convert all % to decimals (/100)
0.2 x 25 = 5
25 - 5 = $20
0.18 x 20 = 3.6
20 + 3.6 = $23.6
Write a two-column proof.
I WILL GIVE BRAINLIEST TO BEST ANSWER! PLS HELP!
refer to images for question
MUST WRITE FULL PROOF
Proof:-
In ∆XYZ and ∆VWZ
[tex]\because\sf\begin{cases}\sf XZ\cong VZ(Given)\\ \sf YZ\cong WZ(Given)\\ \sf <XZY\cong <WZV(Opposite angles)\end{cases}[/tex]
Hence
∆XYZ[tex]\cong[/tex](Side-Angle-Side)
Are these lines perpendicular?
yes
no
Answer: yes they are perpendicular
Solve the equation x^2 – 4x – 31=-2x + 25 to the nearest tenth.
Answer:
x=1+sqr57,1-sqr57
Step-by-step explanation:
Answer:
x = -6.5, x = 8.5
Step-by-step explanation:
The given equation ...
x^2 -4x -31 = -2x +25
can be rewritten to a form that facilitates completing the square:
x^2 -2x = 56 . . . . . add 2x+31
x^2 -2x +1 = 57 . . . add 1 to complete the square
(x -1)^2 = 57 . . . . . write the left side as a square
x -1 = ±√57 . . . . . take the square root
x = 1 ±√57 ≈ {-6.5, 8.5} . . . . . add 1, evaluate
Solutions are near x = -6.5 and x = 8.5.
In which situation would you most likely factor out -1 from a trinomial?
A. When the coefficient of x is negative
B. When the constant term is negative
C. When the coefficient of x^2 is negative
Answer:
when the coefficient of x^2 is negative
Step-by-step explanation:
5y+4x=10.51 8y+3x=10.39
Answer:
(x, y) = (1.89, 0.59)
Step-by-step explanation:
Written in general form, the equations are ...
4x +5y -10.51 = 0
3x +8y -10.39 = 0
These can be solved using the cross-multiplication method to find ...
∆1 = (4)(8) -(3)(5) = 17
∆2 = (5)(-10.39) -(8)(-10.51) = 32.13
∆3 = (-10.51)(3) -(-10.39)(4) = 10.03
Then the values of the variables are ...
x = ∆2/∆1 = 32.13/17 = 1.89
y = ∆3/∆1 = 10.03/17 = 0.59
The solution is (x, y) = (1.89, 0.59).
For this equation: I don't care what the answer is, I need to know how to solve for it. Thanks.
Which of the following sets shows all the numbers from the set {3, 4, 5, 6} that are part of the solution to the equation 5x + 4 < 29? (4 points)
{4, 5, 6}
{3, 4, 5}
{3, 4}
{3}
======================================================
Explanation:
Solve the inequality for x.
5x + 4 < 29
5x < 29-4
5x < 25
x < 25/5
x < 5
I subtracted 4 from both sides (step 2). Then I divided both sides by 5 to fully isolate x (step 4). The inequality sign stays the same the entire time.
Since x < 5, this means the original set {3,4,5,6} becomes {3,4} since these values make x < 5 a true statement. In other words, we erase 5 and 6 because something like 6 < 5 is false.
That's why {3, 4} is the final answer.
---------------
An alternative method is to go through the set {3,4,5,6} and plug those items one by one into the original inequality. If you get a true result, then it's part of the answer.
Let's try x = 3
5x + 4 < 29
5(3) + 4 < 29
15+4 < 29
19 < 29
We get a true statement at the end, so x = 3 is part of the solution set. A similar story happens for x = 4 as well.
If we tried x = 5, then,
5x + 4 < 29
5(5) + 4 < 29
25 + 4 < 29
29 < 29
which is false. No number is bigger than itself (or smaller than itself). Therefore, x = 5 is crossed out of the original set. You should get a false statement for x = 6, which means we'll kick this value out as well.
Factor f(x) = 22 - 5x + 6 using any method.
-
please helppp
Answer:
[tex](x-2)(x-3)[/tex]
Step-by-step explanation:
[tex]x^2-5x+6[/tex]
[tex]x^2-3x-2x+6[/tex]
[tex]x(x-3)-2(x-3)[/tex]
[tex](x-2)(x-3)[/tex]
A recipe for banana bread calls for 5 1/4 cups of flour to make 3 loaves of banana bread. how much is used to make 1 loaf of bread?
Answer:
1 3/4
Step-by-step explanation: