Answer:
he went $9.56 over
Step-by-step explanation:
Which equation is true when the value of "y" is 3 ? PLEASE HELP. NO LINKS! A: 2y -3 =6
B: 3y -2 =6
C: 11y +4 = 37
D: 4y +11 =37
Explanation:
If we replaced y with 3 in choice A, then we get
2y-3 = 6
2(3)-3 = 6
6-3 = 6
3 = 6
which is a false statement. So choice A's solution is not y = 3. We can cross choice A off the list. The same applies with choices B and D as well.
Choice C is the answer because,
11y+4 = 37
11(3)+4 = 37
33+4 = 37
37 = 37
which is true. This confirms choice C.
Which can be used to prove that lines P and Q are parallel?
A)same-side exterior angle theorem
B)converse of the alternate interior angles theorem
C)converse of the same-side interior angles theorem
D)converse of corresponding angles postulate
Answer:
B
Step-by-step explanation:
the converse of alternate interior angles theorem states that if two lines are intersected by a transversal forming congruent alternate interior angles then the lines are parallel.
(1 point) Use the graph below to find exact values of the indicated derivatives, or state that they do not exist. If a derivative does not exist, enter dne in the answer blank. The graph of f(x) is black and has a sharp corner at x = 2. The graph of g(x) is blue.
Let h(x) = f(g(x)). Find
A. h'(1) =
B. h'(2) =
C. h'(3) =
Derivatives can be calculated from graphed functions.
The values of the derivatives are:
The given parameter is:
[tex]\mathbf{h(x) = f(g(x))}[/tex]
Start by calculating the equations of f(x) and g(x)
Graph f(x)
The slopes of f(x) are: 3/2 and -3/2
So, the equations are:
[tex]\mathbf{f(x) = \frac{3}{2}x,\ 0 \le x \le 2}[/tex]
[tex]\mathbf{f(x) = -\frac{3}{2}x,\ x \ge 2}[/tex]
Graph g(x)
The slope of g(x) is: -1/2
So, the equation is:
[tex]\mathbf{g(x) = -\frac 12x}[/tex]
For x = 1 and x = 2, we have:
So, we have:
[tex]\mathbf{h(x) = f(g(x))}[/tex]
Where:
[tex]\mathbf{f(x) = \frac{3}{2}x\ 0 \le x \le 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]
[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes
[tex]\mathbf{h(x) = \frac{3}{2}(-\frac{1}{2}x)}[/tex]
Open brackets
[tex]\mathbf{h(x) = -\frac{3}{4}x}[/tex]
Differentiate
[tex]\mathbf{h'(x) = -\frac{3}{4}}[/tex]
So:
[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex]
[tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex]
For x = 3, we have:
[tex]\mathbf{h(x) = f(g(x))}[/tex]
Where:
[tex]\mathbf{f(x) = -\frac{3}{2}x\ x \ge 2}[/tex] and [tex]\mathbf{g(x) = -\frac 12x}[/tex]
[tex]\mathbf{h(x) = f(g(x))}[/tex] becomes
[tex]\mathbf{h(x) = -\frac{3}{2}(-\frac{1}{2}x)}[/tex]
[tex]\mathbf{h(x) = \frac{3}{4}x}[/tex]
Differentiate
[tex]\mathbf{h'(x) = \frac{3}{4}}[/tex]
Substitute 3 for x
[tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]
Hence, the values of the derivatives are:
[tex]\mathbf{h'(1) = -\frac{3}{4}}[/tex], [tex]\mathbf{h'(2) = -\frac{3}{4}}[/tex] and [tex]\mathbf{h'(3) = \frac{3}{4}}[/tex]
Read more about graphed functions at:
https://brainly.com/question/11804653
What is the equation of the line that has a slope of 3 and a y-intercept of 2?
The equation of a line is written as t = ax + b where a is the slope and b is the y-intercept.
Using the slope and y intercept given the equation is:
Y = 3x + 2
fifteen minutes past eight in the evening on a 24 hour clock
Answer: The time is 20:15 on a military time clock.
Step-by-step explanation:
(p²qr + pq²r + pqr²)(-pq + qr - pr)
Please solve this problem as soon as possible.
Answer:
−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3
Step-by-step explanation:
(p2qr+pq2r+pqr2)((−p)(q)+qr+−pr)
(p2qr)((−p)(q))+(p2qr)(qr)+(p2qr)(−pr)+(pq2r)((−p)(q))+(pq2r)(qr)+(pq2r)(−pr)+(pqr2)((−p)(q))+(pqr2)(qr)+(pqr2)(−pr)
−p3q2r+p2q2r2−p3qr2−p2q3r+pq3r2−p2q2r2−p2q2r2+pq2r3−p2qr3
−p3q2r−p3qr2−p2q3r−p2q2r2−p2qr3+pq3r2+pq2r3
[tex]\large\underline{\sf{Solution-}}[/tex]
Given that:
[tex]\sf\longmapsto(p^2qr+pq^2r+pqr^2)(-pq+qr-pr)[/tex]
Opening the brackets,
[tex]\sf\longmapsto p^2qr(-pq+qr-pr) + pq^2r(-pq+qr-pr) + pqr^2(-pq+qr-pr)[/tex]
Opening the next brackets,
[tex]\sf\longmapsto p^2qr(-pq)+ p^2qr(qr)- p^2qr(pr) + pq^2r(-pq)+ pq^2r(qr)- pq^2r(pr) + pqr^2(-pq)+ pqr^2(qr)- pqr^2(pr)[/tex]
So,
[tex]\sf\longmapsto -p^3q^2r+ p^2q^2r^2- p^3qr^2 - p^2q^3r+ pq^3r^2- p^2q^2r^2-p^2q^2r^2+ pq^2r^3- p^2qr^3[/tex]
[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3+ p^2q^2r^2-2p^2q^2r^2 [/tex]
[tex]\sf\longmapsto -p^3q^2r- p^3qr^2 - p^2q^3r+ pq^3r^2+ pq^2r^3- p^2qr^3- p^2q^2r^2 [/tex]
Hence, the product is,
[tex]\longmapsto\bf -p^3q^2r- p^3qr^2 - p^2q^3r- p^2qr^3+ pq^3r^2+ pq^2r^3 - p^2q^2r^2 [/tex]
1/5×8 simplified =?!?!
Answer:
the answer is 1.6
Step-by-step explanation:
use the given zero to find all the zeros of the function.
g(x)= 3x^3+11x^2+11x-5
zero: -2+i
Answer:
11x + 5
Step-by-step explanation:
An inlet pipe on a swimming pool can be used to fill the pool in 33 hours. The drain pipe can be used to empty the pool in 34 hours. If the pool is [tex]\frac{2}{3}[/tex] filled and then the inlet pipe and drain pipe are opened, how many more hours would it take to fill the pool? Round your answer to two decimal places, if needed.
Answer:
374 hoursStep-by-step explanation:
Filling rate is 1/33Draining rate is 1/34The difference is the filling rate with both lines open:
1/33 - 1/34 = 1/1122The pool is 2/3 full and needs filling the remainder, 1/3.
Time required to fill:
1/3 : 1/1122 = 1122/3 = 374 hourscan anyone heelp me pls pls
Answer:
3. Lotion
2. Suspension
1. Capsule
Also need help with this question 4 x −5 =
Answer:
the equation is not completed
Answer:
-20
Step-by-step explanation:
Multiply 4x5 which is 20 but since 5 is negative then it's -20
heyyy if you tell me the correct answer I’ll give you’re answer a 5 thanks and brainlest please hurry
Answer:
29in
pls give brainliest tq
have a great day
Which of the following inequalities is represented by the number line?
Question 9 options:
A)
x ≥ 1
B)
x < 1
C)
x > 1
D)
x ≤ 1
Answer:
Step-by-step explanation:
x ≥ 1
Hope this helps!
close circle = ≥ or ≤
open circle = > or <
positive number = going to the right
negative number = going to the left
hi I was just a little bit of time with my module and I didn't know what is answer of the module now please please be sure of the answer please I want to know the answer please can I
1. 5 x 4 = A. 20
2.
[tex] \frac{2}{5} \times 25 = 2 \times 5 = 10[/tex]
the answer is D. 25
3.
[tex] \frac{3}{5} \div 15 = \frac{3}{5} \times \frac{1}{15} = \frac{1}{5} \times \frac{1}{5} = \frac{1}{25} [/tex]
the answer is A. 1/25
4.
[tex]4 \div \frac{1}{2} = 4 \times \frac{2}{1} = 8[/tex]
the answer is C. 8
5.
[tex]9 \div \frac{1}{3} = 9 \times \frac{3}{1} = 27[/tex]
the answer is D. 27
6.
[tex]20 \div \frac{1}{4} = 20 \times \frac{4}{1} = 80[/tex]
the answer is D. 80
7.
[tex] \frac{9}{10} \div \frac{1}{2} = \frac{9}{10} \times \frac{2}{1} = \frac{18}{10} = \frac{9}{5} = 1 \frac{4}{5} [/tex]
the answer is C. 1 4/5
8.
[tex]9 \div \frac{3}{2} = 9 \times \frac{2}{3} = \frac{18}{ 3} = 6[/tex]
the answer is B. 6
9.
[tex] \frac{3}{4} \div \frac{3}{8} = \frac{3}{4} \times \frac{8}{3} = 2[/tex]
the answer is A. 2
solve the following system using substitution y=x^2+8x+12, y=-2x-13
Step-by-step explanation:
Given equations :-
y = x²+ 8x + 12y = 2x - 13Substitute (2) in (1) :-
2x - 13 = x² + 8x +12x² + 8x + 12 - 2x + 13 = 0 x² + 6x + 25 = 0 x = -6±√6²-4*1*25 /2*1 x = -6 ±√36-100/2 x = -6±√-64 / 2 x = -6 ± 8i / 2 x = -3 ±4iWhat is the system of measurement used most often in the United States?
customary
converted
metric
similar
Answer:
metric po
Step-by-step explanation:
measurements and metric units of measure
I NEED HELP OR I WILL GET A FAT F!!! What Is 6.38 times 5.2 rounded product to the nearest whole number!!!
Answer:
33.176
Step-by-step explanation:
I have more question then this
Answer:
A. A reflection over the x-axis
Answer:
this is A, a reflection over the x axis
Estimate a 15% tip on a dinner bill of $39.42 by first rounding the bill amount to the nearest ten dollars.
Which of the following fractions is equivalent to 4/20? 1/10
3/15
3/19
2/12
Answer:
your answer is 3/15
Step-by-step explanation:
if im wrong pls let me know
help meeeeeeeeeeeee
2/3u. 4/2u².3=
Answer:
4u³
Step-by-step explanation:
2/3u × 4/2u² = 4/3u³
4/3u³ × 3/1 = 4u³
Answer:
4u³Step-by-step explanation:
[tex]2/3u*4/3u^2*3=[/tex][tex]2/3*4/2*3u^{1+2}=[/tex][tex]4u^3[/tex]please help me asap!!!!
Answer: POSSIBLY B
Step-by-step explanation:
i need you to explain the answer please and thank you!!
Answer: January, because negative numbers are positive numbers' opposite; so -11.4 < -10.4
Identify the axis of symmetry of the parabola.
What would be the right answer?
Answer:
x=-3, That is the x value of the vertex, and it is a vertical parabola.
Please answer will mark BRAINILEST!!
Answer:
Coordinates A and B: (1, 0) and (3, 0)
Coordinates of P: (0, 3)
Coordinates of Q: (2, -1)
Step-by-step explanation:
You're pretty much given the x-intercepts from the original equation.
y = (x - 1)(x - 3). So to get the x-intercepts (points A and B), y has to equal 0. So,
0 = (x - 1)(x - 3).
and y = 0 when x equals 1 and 3. Because anything multiplied by 0 equals 0. So substituting 1 for the value of x, for example, we get:
0 = (1 - 1)(1 - 3)
0 = 0 * (-2)
So there are your x-intercepts, points A and B.
Now,
Expand the brackets of the equation.
y = (x - 1)(x - 3) becomes
y = x^2 - 4x + 3
You get the y-intercept (point P) by substituting 0 for the value of x. Doing so gives:
y = 0^2 - 4*0 + 3
y = 0 - 0 + 3
y = 3
So, we have our y-intercept (0, 3).
Point Q, the x-coordinate of the vertex is calculated with the equation -b/2a
Taking our expanded equation: x^2 - 4x + 3
which is of the form ax^2 + bx + c
So we find the values of a, b and c and input the values into the equation
a = 1
b = -4
c = 3
So, inputting these into the vertex equation, gives:
-(-4) / 2 * 1
4 / 2
2
So we have the x-coordinate of the vertex. Now that we know that, we can just substitute it into the expanded equation to give the y-coordinate:
y = 2^2 - 4*2 + 3
y = 4 - 8 + 3
y = -1
So there's our y-coordinate, and now we have both the x and y coordinate for the vertex, point Q. (2, -1).
please help me for my practice problems
The graph of y=3+2x-x^2 is shown.
Please answer will mark BRAINELIST
Answer:
turning point: (1, 4)
Roots: (-1, 0), (3, 0)
Step-by-step explanation:
The turning point is the vertex of the parabola, which occurs at point (1, 4). The roots are the areas where the graph crosses the x-axis, referred to as the x-intercepts. The graph crosses the x-axis at points (-1, 0) and (3, 0).
PLEASE HELP
answer both of the questions in the photo please
Answer:
-6
11
Step-by-step explanation:
-6n-5=31
-6n=36
n=-6
-28=-3n+5
3n=5+28
3n=33
n=11
What is the value of k?
help!!!!
Answer:
k = 10°Step-by-step explanation:
[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ [/tex]
An exterior angle of a triangle is equal to the sum of its two interior opposite angles.
[tex] {115}^{o} = {(4k + 5)}^{o} + {(6k + 10)}^{o} \\ {115}^{o} = 4k + 5 + 6k + 10 \\ {115}^{o} = 10k + 15 \\ {115}^{o} - 15 = 10k \\ {100}^{o} = 10k \\ \frac{100}{10} = k \\ {10}^{o} = k \\ [/tex]
The ____ juice is made with a greater percent of water.
Answer:
Orange and apple
Step-by-step explanation:
Mark brainliest, isaac farts all the time u don’t want him to fart on u next