Answer:
Step-by-step explanation:
-3x + 6y = 11
Put into slope-intercept form to find the slope
6y = 3x + 11
y = 3x/6 + 11/6
y = ½x + 11/6
so slope is ½
perpendicular lines have negative reciprocal slopes, so our perpendicular line has slope -2
the slope point form of the perpendicular line will be
(y - 3) = -2(x -(-2))
(y - 3) = -2(x +2)
the slope intercept form will be
y = -2x - 4 + 3
y = -2x - 1
What is 0.459 roused to the nearest hundredth
Answer:
0.459
the 9 rounds the 5 up to a 6 so its 0.46
Answer:
The answer is 0.46
Step-by-step explanation:
The 9 is over 5, so you round up which bumps the 5 up to a 6. It could also be written as 0.460 but the extra 0 is unnecessary.
6 lb = how many oz .
Answer:
96 oz
Step-by-step explanation:
1 lb= 16 oz
so, 16×6=96
A cafeteria sells 30 drinks every 15 minutes. How many drinks can be sold in one hour?
Answer:30 drinks
Step-by-step explanation:
can someone plzzz help me with this (multiple choice ) i have more if anyone is good at this
Directions: Compare the sides and angles by filling in the blank with a < or > symbol.
Answer:
Number 21 is < number 23 is > number 22 is < and number 24 is >
Step-by-step explanation:
Use the GCF and the Distributive property to find the sum of 66+78
Here is ur answer of your question
help plsssssssssssssss
Answer:step 2
Step-by-step explanation:
Which function results in f(x)=13?
Answer:
The answer is B
Step-by-step explanation:
plug 2 into x to see
A.
x^2 + 8
2^2 + 8
4 + 8 = 12
B.
3x^2 + 1
3(2)^2 + 1
3(4) + 1
12 + 1 = 13
C.
2x^3 + 5
2(2)^3 + 5
2(8) + 5
16 + 5 = 21
D.
x^2 + x
2^2 + 2
4 + 2 = 6
anyone who solves this problem for me .... I really need help
a) The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The value of [tex]m'(5)[/tex] is approximately -0.034.
c) The value of [tex]x[/tex] is approximately 0.622.
a) [tex]f(x)[/tex] is a piecewise function formed by two linear functions, whose form is defined by the following definition:
[tex]f(x) = \frac{y_{2}-y_{1}}{x_{2}-x_{1}} \cdot x + b[/tex] (1)
Where:
[tex](x_{1}, y_{1})[/tex], [tex](x_{2}, y_{2})[/tex] - Two distinct points of the line.[tex]x[/tex] - Independent variable.[tex]f(x)[/tex] - Dependent variable.[tex]b[/tex] - x-InterceptNow we proceed to determine the linear functions:
Line 1: [tex]x \in [-1, 2)[/tex]
[tex](x_{1}, y_{1}) = (0, 3)[/tex], [tex](x_{2}, y_{2}) = (1, 5)[/tex], [tex]b = 3[/tex]
[tex]f(x) = \frac{5-3}{1-0}\cdot x + 3[/tex]
[tex]f(x) = 2\cdot x + 3[/tex]
Line 2: [tex]x \in [2, 8][/tex]
[tex](x_{1}, y_{1}) = (2, 7)[/tex], [tex](x_{2}, y_{2}) = (8, 3)[/tex]
First, we determine the slope of function:
[tex]m = \frac{3-7}{8-2}[/tex]
[tex]m = -\frac{2}{3}[/tex]
Now we proceed to determine the intercept of the linear function:
[tex]7 = -\frac{2}{3}\cdot 2 + b[/tex]
[tex]b = \frac{25}{3}[/tex]
[tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex]
The first derivative of a linear function is its slope, and the first derivative of a product of functions is defined by:
[tex]k'(x) = f'(x)\cdot g(x) + f(x)\cdot g'(x)[/tex]
If we know that [tex]f(x) = 2\cdot x + 3[/tex], [tex]f'(x) = 2[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 0[/tex], then:
[tex]k'(x) = 2\cdot \sqrt{x^{2}-x+3}+\frac{(2\cdot x +3)\cdot (2\cdot x - 1)}{2\cdot \sqrt{x^{2}-x+3}}[/tex]
[tex]k'(0) = 2\sqrt{3}-\frac{3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{12-3}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{9}{2\sqrt{3}}[/tex]
[tex]k'(0) = \frac{3\sqrt{3}}{2}[/tex]
The value of [tex]k'(0)[/tex] is [tex]\frac{3\sqrt{3}}{2}[/tex].
b) The derivative is found by means of the formulas for the derivative of the product of a function and a constant and the derivative of a division between two functions:
[tex]m'(x) = \frac{f'(x)\cdot g(x)-f(x)\cdot g'(x)}{2\cdot [g(x)]^{2}}[/tex] (2)
If we know that [tex]f(x) = -\frac{2}{3}\cdot x +\frac{25}{3}[/tex], [tex]f'(x) = -\frac{2}{3}[/tex], [tex]g(x) = \sqrt{x^{2}-x+3}[/tex], [tex]g'(x) = \frac{2\cdot x - 1}{2\cdot \sqrt{x^{2}-x+3}}[/tex] and [tex]x = 5[/tex], then:
[tex]f(5) = 5[/tex]
[tex]f'(5) = -\frac{2}{3}[/tex]
[tex]g(5) = \sqrt{23}[/tex]
[tex]g'(5) = \frac{9\sqrt{23}}{46}[/tex]
[tex]m'(5) = \frac{\left(-\frac{2}{3} \right)\cdot \sqrt{23}-\left(-\frac{2}{3} \right)\left(\frac{9\sqrt{23}}{46} \right)}{3\cdot 25}[/tex]
[tex]m'(5) \approx -0.034[/tex]
The value of [tex]m'(5)[/tex] is approximately -0.034.
c) In this case we must find a value of [tex]x[/tex], so that [tex]h'(x) = 2[/tex]. Hence, we have the following formula below:
[tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]
A quick approach is using a graphing tool a locate a point so that [tex]5\cdot e^{x}-9\cdot \cos x = 2[/tex]. According to this, the value of [tex]x[/tex] is approximately 0.622.
To learn more on derivatives, we kindly invite to check this verified question: https://brainly.com/question/21202620
Helppp it’s due today
Answer:
128
Step-by-step explanation:
need help with solving this please
Answer:
3/2
Step-by-step explanation:
Since the shape is an equilateral triangle, all the angles are equal measure, 60° and all the sides are also of equal measure that was given, root3. So half of the triangle has length (root3)/2. The perpendicular drawn in the interior is also an angle bisector. The triangles created are 30°-60°-90° triangles. The sides of this special right triangle are in the ratio
s : 2s : sroot3
The longest side of the 30-60-90 triangle is given. The shortest side is half the length of the longest side. The length of the long leg is the short leg × root3
In this diagram the short leg is (root3)/2 .
(root3)/2 × root3 = 3/2
See image.
LAST ATTEMPT MARKING AS BRAINLIEST!! ( write a rule to describe each transformation)
Answer:
See explanation
Step-by-step explanation:
Dilation of 4
G (0, 1) G' (0, 4)
F (1, 1) F' (4, 4)
Gx'/Gx = 0 / 0 = 0
Gy' / Gy = 4 / 1 = 4
Fx' / Fx = 4 / 1 = 4
Fy' / Fy = 4 / 1 = 4
Melissa has 120 kilograms of rice. Her mother sold 105 kilograms. What percent of the rice was sold? with solution :D please
Answer:
225
Step-by-step explanation:
po ang answer ko
please comment if I'm wrong
The store is 7⁄8 of a mile away from your house. You walked 1⁄5 of a mile towards the store before getting on the bus. If the bus went directly to the store, how many miles long was the bus ride?
Find the following:
sin A
cos A
tan A
cot A
sec A
csc A
Step-by-step explanation:
we use the law of sine :
sin(A)/a = sin(B)/b = sin(C)/c
with the related angles being opposite of the lines.
so, we have
sin(A)/1 = sin(A) = sin(90)/ sqrt(10) = 1/ sqrt(10) =
= 0.316227766...
cos²(A) + sin²(A) = 1
cos(A) = sqrt(1 - sin²(A)) = sqrt(1 - 0.1)) = sqrt(0.9) =
= 0.948683298...
tan(A) = sin(A)/cos(A) = 0.333333333...
cot(A) = 1/tan(A) = 3
sec(A) = 1/cos(A) = 1.054092553...
csc(A) = 1/sin(A) = 3.16227766...
Let F(x)=∫
t−3
t
2+7
for − ∞ < x < ∞
x
0
(a) Find the value of x where F attains its minimum value.
(b) Find intervals over which F is only increasing or only decreasing.
(c) Find open intervals over which F is only concave up or only concave down.
(a) It looks like you're saying
[tex]\displaystyle F(x) = \int_0^x (t - 3t^2 + 7) \, dt[/tex]
Find the critical points of F(x). By the fundamental theorem of calculus,
F'(x) = x - 3x² + 7
The critical points are where the derivative vanishes. Using the quadratic formula,
x - 3x² + 7 = 0 ⇒ x = (1 ± √85)/6
Compute the second derivative of F :
F''(x) = 1 - 6x
Check the sign of the second derivative at each critical point.
• x = (1 + √85)/6 ≈ 1.703 ⇒ F''(x) < 0
• x = (1 - √85)/6 ≈ -1.370 ⇒ F''(x) > 0
This tells us F attains a minimum of
[tex]F\left(\dfrac{1-\sqrt{85}}6\right) \approx \boxed{-6.080}[/tex]
(b) Split up the domain of F at the critical points, and check the sign of F'(x) over each subinterval.
• over (-∞, -1.370), consider x = -2; then F'(x) = -7 < 0
• over (-1.370, 1.703), consider x = 0; then F'(x) = 7 > 0
• over (1.703, ∞), consider x = 2; then F'(x) = -3 < 0
This tells us that
• F(x) is increasing over ((1 - √85)/6, (1 + √85)/6)
• F(x) is decreasing over (-∞, (1 - √85)/6) and ((1 + √85)/6, ∞)
(c) Solve F''(x) = 0 to find the possible inflection points of F(x) :
F''(x) = 1 - 6x = 0 ⇒ 6x = 1 ⇒ x = 1/6
Split up the domain at the inflection point and check the sign of F''(x) over each subinterval.
• over (-∞, 1/6), consider x = 0; then F''(x) = 1 > 0
• over (1/6, ∞), consider x = 2; then F''(x) = -11 < 0
This tells us that
• F(x) is concave up over (-∞, 1/6)
• F(x) is concave down over (1/6, ∞)
What is the formula for calculating momentum?
Answer:
(c) p = vm
Step-by-step explanation:
Momentum, represented by 'p', is the product of mass and velocity. It is a vector quantity, just as velocity is a vector quantity.
p = vm
expand and simplify 3(5x+1)+5(5x-4)
Answer:
40x-17
Step-by-step explanation:
what word phrase can you use to represent the algebraic expression 6x+6
Answer:
the word phrase use to represent 6x+ 6 is sum 6x and 6
Step-by-step explanation:
first you sum 6x and 6
another fraction problem. Have tried this one a couple of times and cant find fault in what i did
Answer:
Perimeter = 12 1/2 in
Area = 9.375 in
Step-by-step explanation:
Perimeter:
(3 3/4) + (3 3/4) + (2 1/2) + (2 1/2) = 12 1/2
Area:
(3 3/4) * (2 1/2) = 9.375
Answer:
P = 12 1/2 in
A = 9 3/8 in²
Step-by-step explanation:
L = 3 3/4 in
W = 2 1/2 in
Area:
A = L × W
A = (3 3/4 in)(2 1/2 in)
A = 15/4 in × 5/2 in
A = 75/8 in²
A = 9 3/8 in²
Perimeter:
P = 2(L + W)
P = 2(3 3/4 in + 2 1/2 in)
P = 2(15/4 in + 5/2 in)
P = 2(15/4 in + 10/4 in)
P = 2(25/4 in)
P = 25/2 in
P = 12 1/2 in
One angle in a complementary pair of angles measures 3 times the other angle.
What is the measure, in degrees, of the
smaller angle?
Answer:
22.5 degrees
Step-by-step explanation:
Complementary angles add up to be 90 degrees. You can model the simple equation [tex]x+3x=90[/tex] where is x is the small angle and 3x is the large angle.
[tex]4x=90\\x=22.5[/tex]
the smaller angle is 22.5 degrees
A waitress kept track of whether her customers ordered an appetizer and
dessert. Her data are shown in a relative frequency table.
Appetizer
Total
No appetizer
0.3
Dessert
0.1
0.4
No dessert
0.2
0.4
0.6
Total
0.3
0.7
1.0
What does the 0.1 in the highlighted cell mean?
A. 10% of her customers ordered dessert.
B. 10% of the customers who ordered an appetizer ordered dessert.
C. 10% of her customers ordered an appetizer and dessert.
D. 10% of her customers ordered an appetizer.
According to the two-way table, the correct option is:
10% of her customers ordered an appetizer and dessert.From the table, it is taken that:
0.1 = 10% of the customers ordered both an appetizer and a dessert.0.3 = 30% of the customers ordered a dessert but not an appetizer.0.4 = 40% of the customers ordered a dessert.0.2 = 20% of the customers ordered an appetizer but not a dessert.0.4 = 40% of the customers ordered neither a dessert nor an appetizer.0.6 = 60% of the customers did not order a dessert.0.3 = 30% of the customers ordered an appetizer.0.7 = 70% of the customers did not order an appetizer.The total is of 100%.Hence, the highlighted 0.1 = 10% means that:
10% of her customers ordered an appetizer and dessert.You can learn more about two-way tables at https://brainly.com/question/24670062
1plss help, its time
Answer:
60 degrees
Step-by-step explanation:
Similar shapes have the same angles but different side lengths.
Answer:
The answer is 60°
Step-by-step explanation:
Because pentagon JKLMN is basically the same as pentagon VWXYZ and if you see in the smaller pentagon the angle for L is 90° and same goes for the bigger pentagon
solve for y and x
2+3x-1=4y
And
2x-3=y
Answer:
x = 2.6, y = 2.2
Step-by-step explanation:
if 4y = 2 + 3x - 1 and
y = 2x - 3,
4y = 2 + 3x -1 and 4y = 8x - 12 so
8x - 12 = 2 + 3x - 1
so 5x - 12 = 1,
5x = 13,
x = 2.6
If x = 2.6,
y = 5.6 - 3
so y = 2.2
Please mark me as Brainliest!
SHOW YOUR WORK!!! PLEASE HELP!!! ASAP!!!!
Answer:
84
Step-by-step explanation:
TPS + SPR = RPT and TPS = RPT - SPR
The measure of RPT and SPR are given so we just need to place them and do the calculation
TPS = 137 - 53
TPS = 84
Luigi's Fine Dining charges $32.09 for its prix fixe meal plus $39.26 for every drink, d, you purchase. The equation that models the total cost (T) is T(d )= 39.26d + 32.09 Which value in the equation represents the rate of change?
A .. The number of drinks purchased
B .. $32.09
C .. $39.26
D .. $71.35
Answer:
C. $32.09, since it's not the fixed cost, it changes based on how much drinks are purchased.
Help Meh I need it SOON
Step-by-step explanation:
the option you chose (<C~=<Y) is absolutely correct.
Image attached giving 25 points please help
Answer:
i think x = -5, y = -7 is a other solution set
solve using system of equations by using elimination method for -5x+4y=2 ; 9x-4y=6
Answer:
y = 3
x = 2
Step-by-step explanation:
-5x + 4y = 2
9x - 4y = 6
Sum both eq.
-5x + 9x = 4x
+4y - 4y = 0
2 + 6 = 8
then:
4x + 0 = 8
4x = 8
x = 8/4
x = 2
from the first eq.
-5x + 4y = 2
-5*2 + 4y = 2
-10 + 4y = 2
4y = 2 + 10
4y = 12
y = 12/4
y = 3
Check:
from the second eq.
9x - 4y = 6
9*2 - 4*3 = 6
18 - 12 = 6
Solve the inequality below for z.
8z+3>3z-17
A.z>-4
B.z<-14/5
C.z<-4
D.z>-14/5
Therefore, the solved inequality is z > -4.
Hoped this helped.
[tex]BrainiacUser1357[/tex]