Answer:
[tex]f(x) = {x}^{2} - 2x + 17 \\ completing \: squares \\ divide \: the \: sum \: by \: 2 \: and \: the \: result \: to \: the \: {x}^{2} and \: subtract \: it \: from \: the \: product \\ in \: this \: case. \: our \: sum \: is \: 2 \\ f(x) = ({x}^{2} \times \frac{2}{2} ) + (17 - \frac{2}{2} ) \\ f(x) = {(x + 1)}^{2} + (17 - 1) \\ f(x) = {(x + 1)}^{2} + 16[/tex]
Can somebody please help with this? (Slope)
Answer:
the slope is m= 5/31 :)
1.9t-5 simplify using commutative property
Pls help lolll
Answer:
There is nothing to be further simplified. It is how you wrote it. Let me know if it was a mistake I'll edit my answer.
Step-by-step explanation:
6. Andrea deposits $350 dollars in her
checking account on Tuesday. On
Wednesday she withdraws $100. On
Thursday she deposits $75. Which of the
following shows the change in Andrea's
account from Tuesday to Thursday?
Help
f(x) = x + 8; translation 5 units down
Answer:
Please check the graph diagram attached.
From the diagram,
The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3It is clear the parent function f(x) = x+8 has been translated down 5 units.
Step-by-step explanation:
The rule to determine the translating down 'b' units:
f(x) – b
It means if we have to translate a function f(x) 'b' units down, all we need is to subtract the 'b' units from the function output.
Given the function
f(x) = x + 8
In order to translate 5 units down, all we need is to subtract 5 units from the function.
i.e.
f(x) = x + 8 - 5
f(x) = x+3
Thus, we conclude that f(x) = x+3 is the translated function.
Please check the graph diagram attached.
From the diagram,
The red line represents the parent function f(x) = x + 8The blue line represents the translated function f(x) = x + 3It is clear the parent function f(x) = x+8 has been translated down 5 units.
A carpenter is building a rectangular shed with a fixed perimeter of 54 ft. What are the dimensions of the largest shed that can be built? What is its area?
Answer:
the Largest shed dimension is 13.5 ft by 13.5 ft
Largest Area is 182.25 ft²
Step-by-step explanation:
Given that;
Perimeter = 54 ft
P = 2( L + B ) = 54ft
L + B = 54/2
L + B = 27 ft
B = 27 - L ------------Let this be equation 1
Area A = L × B
from equ 1, B = 27 - L
Area A = L × ( 27 - L)
A = 27L - L²
for Maxima or Minima
dA/dL = 0
27 - 2L = 0
27 = 2L
L = 13.5 ft
Now, d²A/dL² = -2 < 0
That is, area is maximum at L = 13.5 using second derivative test
B = 27 - L
we substitute vale of L
B = 27 - 13.5 = 13.5 ft
Therefore the Largest shed dimension = 13.5 ft by 13.5 ft
Largest Area = 13.5 × 13.5 = 182.25 ft²
PLEASE HELP
The vertex of this parabola is at (-2, 1). Which of the following could be its
equation?
Answer:
A. [tex]x = 4\cdot (y-1)^{2}-2[/tex]
Step-by-step explanation:
From the image attached below statement we understand that a parabola with a horizontal axis of symmetry and whose vertex is centered at [tex]V(x,y) = (h,k)[/tex] is defined by the following expression:
[tex]x-h = C\cdot (y-k)^{2}[/tex] (1)
Where [tex]C[/tex] is the parabola factor, when [tex]C > 0[/tex], the parabola is oriented in the +x direction, otherwise is oriented in the -x direction. Hence, we may conclude that equation of the parabola is of the form:
[tex]x+2 = C\cdot (y-1)^{2}[/tex]
[tex]x = C\cdot (y-1)^{2}-2[/tex], where [tex]C > 0[/tex]
The correct answer is A.
Answer:
A
Step-by-step explanation:
Hopefully this helps
uhhh-
The straight line L, has equation y = 3X - 4.
The straight line L2, is perpendicular to L, and passes through the point (9, 5). Find an equation of line L2. Show your working out.
Step-by-step explanation:
y = mx + c, where m is the slope of the line and c is the y-intercept.
We have y = 3x - 4 as line L.
Slope of line L = 3
=> Slope of line L2 = -1/3
We have y = -1/3 x + c as our line L2 equation.
When x = 9, y = 5.
=> (5) = -1/3 * (9) + c
=> 5 = c - 3, c = 8
Hence the answer is y = -1/3 x + 8.
The equation of required line [tex]l_2[/tex] is .
Y = mX+c
[tex]Y = \frac{-1}{3} x + 2[/tex]
Given, The equation of straight line L.
Y=3X-4
compareing with the standard equation of line
Y=mX+c
slope of the equation of line L is [tex]m_1[/tex]= 3.
The product of slopes of two perpendicular lines is -1.
[tex]\rm m_1. m_2 = -1[/tex]
[tex]3.m_2 = -1\\m_2 = \frac{-1}{3}[/tex]
The slope of perpendicular line is and it passes through the point (9,5). So the equation of the line is
[tex]y = m_2x+c[/tex]
[tex]5 = -\frac{1}{3} . 9 + c[/tex]
5 = -3 + c
5+3 = c
c = 8
Therefore, the equation of required line [tex]l_2[/tex] is .
Y = mX+c
Y = [tex]\frac{-1}{3} X +8[/tex]
For the more details follow the link given below.
https://brainly.com/question/24143133?
please please please please
Given that R= 7x + 7y
Find r when y = 2 and R=8
find x
Give your answer as a fraction in its simplest form.
Answer:
Step-by-step explanation:
564/5
If cot 0= 4/3, find csc 0
Answer:
5/3
Step-by-step explanation:
Trigonometric ratio
Cot θ = Adjacent side/Opposite side
It is given that,
Cot θ = 4/3
Adjacent side = 4
Opposite side = 3
Csc θ = Hypotenuse/Opposite side
To find the Hypotenuse
Hypotenuse² = Opposite side² + Adjacent side ² = 3²+ 4²
Hypotenuse = √(3²+ 4²) = 5
To find Csc θ
Csc θ = Hypotenuse/Opposite side = 5/3
Answer:
Option D
Step-by-step explanation:
PLEASE ANSWER THIS ASAP, I WILL BE GIVING YOU A THANKS!
Answer:
A
Step-by-step explanation:
When I did the two questions on the white board, only equation one had infinite solutions. Equation 2 have no solutions.
Is (9w x 0) -12 and 9w -12 equivalent
Answer:
no its not
Step-by-step explanation:
You would have to multiply 9w times -12 and 0 times -12 which does not equal the equation
Andy was scuba diving while his friend Ramon was climbing a mountain. If Andy was at an elevation of -100 feet, and Ramon was at an elevation of 975 feet, what was the difference in elevation (in feet) between Andy and Ramon?
Answer:
1075 feet
Step-by-step explanation:
In one class, there are 2 of every 8 students in the class chewing
gum. If there are 32 students in the class, how many students are
chewing gum?
Answer:
8
Step-by-step explanation:
Answer:
8 people are chewing gum
Step-by-step explanation:
32/8=4, meaning there are 4 sets of 8 students.
If 2 students are chewing gum for every 8, and there are 32 students, that would mean that multiplying 4 by 2 to get 8 total kids chewing gum.
You could also say that 6*4=24, and 32-24=8 if you want to double check.
Hope this helps :)
Kayla climbs 57 steps in 40 seconds.
At that rate, how many steps could she
climb in 160 seconds?
Answer:
225 steps Can Be climbed by her.
Step-by-step explanation:
Its simple The LCM OF 60 AND 40 IS 2
THEREFORE
60= 40/2 multiplied by 3
60= 20 X 3
= 60
similarly to 150 seconds
150/2 *3
= 75 X 3
= 225 steps.
Answer:
228
Step-by-step explanation:
Compare these data sets. The equation of the trend line is listed below each data set.
2 tables. For table 1, column 1 is labeled H R and column 2 is labeled W. The regression equation is y = 0.39 x + 20.23. For table 2, column 1 is labeled R and column 2 is labeled W. The regression equation is y = 0.15 x minus 23.2.
Which statements are true about these data sets? Check all that apply.
Both sets have negative correlation.
Both sets have positive correlation.
There is no correlation between the sets.
The Runs set has a greater rate of change than the Home Runs set.
The Home Runs set has a greater rate of change than the Runs set.
Answer:
b and e
Step-by-step explanation:
Answer:
2 and 5 or B and E
Step-by-step explanation:
on edge
a six sided cube is rolled. find the probability of P (4) as a decimal
Answer:
.66
Step-by-step explanation:
if 50% is 100 what is 25%, 75%, and 100%
Step-by-step explanation:
25%=50
75%=150
100%=200
hope it helps
mark me brainliest
A manager of a clothing store always orders 2 small T-shirts and 3 large T-shirts for
every 4 medium T-shirts. The manager plans to order 24 medium T-shirts. How
many small T-shirts and large T-shirts should the manager order? Show your work.
Answer:
12 small, 18 large
Step-by-step explanation:
x - small
y - large
z- medium
4z=2x=3y then she orders 24
24/4=6 times more than usually, so we should *6 for every x and z
24z=6*2x=6*3y
12 - x - small tshirt
18 - y - large
45 is 130% of what number?
Answer:
i think the number is 117
2
What is the exponential expression for the numerical expression 3⋅3⋅3⋅3 ? 43 4⋅34 124 34
Two pounds of grapes cost $6. How much does it cost for 5 pounds of grapes
Answer:
if we take the total cost of the grapes, and divide by the number of pounds of grapes we can conclude that each pound of grapes costs $3. so 5 pounds of grapes multiplied by $3 per pound, gives us $15 for 5 pounds of grapes.
Answer:
$15
Step-by-step explanation:
If 2 pounds of grapes cost $6, then one pound of grapes would be $3, because 6 divided by 2 (because there is two pounds) would equal 3. 5 pounds of grapes would cost $15 because 3+3+3+3+3 (or 5 x 3) is equal to 15.
PLEASE HELP!! Will mark brainliest, find the measure of
Answer:
[tex]m\angle BYP=42^\circ[/tex]
Step-by-step explanation:
Lines and angles
The figure shows three lines forming two angles BYP and PYH whose measures add up to 90° because it's marked as a right angle.
[tex]m\angle BYP+m\angle PYH=90^\circ[/tex]
We are given the acute angles as a function of m. thus:
5m + 98 + 2m + 48 = 90
Simplifying:
5m + 146 = 90
5m = -56
m = -56/5 = -11.2
m = -11.2°
To find the measure of angle BYP, substitute m in
5m + 98 = 5*(-11.2) + 98 = 42°
[tex]m\angle BYP=42^\circ[/tex]
Bo, Ryan and Zachary went for a walk. They walked 1/4 miles from school to Bocas House. Then they walked 4/6 miles From Paul’s house to the park. What is the total distance with the boys walked?
Answer:
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
Step-by-step explanation:
Given that:
Distance walked from school to Bocas house = 1/4 miles
Distance walked from Paul's house to the park = 4/6 miles
Total distance walked = [tex]\frac{1}{4}+\frac{4}{6}[/tex]
Total distance walked = [tex]\frac{3+8}{12}[/tex]
Total distance walked = [tex]\frac{11}{12}[/tex] miles
Hence,
Total distance walked by boys = [tex]\frac{11}{12}[/tex] miles
r(x)=-4/5x+7
what is x?
Which of these is equal to 4 (−)4
A.()4 B.(−)4 .−()4 D. (−)4
Answer:
(a) [tex]x^4 * (-y)^4 = (xy)^4[/tex]
Step-by-step explanation:
Given
[tex]x^4 * (-y)^4[/tex]
Required
Select and equivalent expression
[tex]A.\ (xy)^4[/tex] [tex]B.\ (-xy)^4[/tex] [tex]C.\ -(xy)^4[/tex] [tex]D.\ (x-y)^4[/tex]
[tex]x^4 * (-y)^4[/tex]
Apply law of indices:
[tex]x^4 * (-y)^4 =x^4 * (-y) * (-y) * (-y) * (-y)[/tex]
This gives:
[tex]x^4 * (-y)^4 = x^4 * (y) * (y) * (y) * (y)[/tex]
[tex]x^4 * (-y)^4 =x^4 * y^4[/tex]
x and y have the same exponent; So, they can be expressed as:
[tex]x^4 * (-y)^4 = (x*y)^4[/tex]
[tex]x^4 * (-y)^4 = (xy)^4[/tex]
There are six hats and seven mittens what is the ratio of mittens to total
Answer:
7:13
Step-by-step explanation: The ratio of mittens is 7 and the ratio of the total items (including the hats) would be 13, because 6+7=13. Therefore, the ratio of mittens to the total would be 7:13. Hope this helps ^-^.
Is Sue´s answer correct? if not, why?
4+4=?
help I don't know
Answer:
The answer is 8.
Step-by-step explanation:
thank you for the points :)
What is the congruence method you will use to show that the triangles are congruent?
A) SSS
B) SAS
C) ASA
D) AAS