Answer:
40.9 - 5y
Step-by-step explanation:
25.6 - 5y + 15.3
40.9 - 5y ## ^ combine like-terms
Factor the polynomial by its greatest common monomial factor.
44k5 – 66k4 +77k3
For all values of x, f(x) = x^2 + 1 and g(x) = x-5
(a) Show that fg(x) = x^2 - 10x + 26
(b) Solve fg(x) = gf(x)
Answer:
a) f g(x) = x³ - 5 x² + x -5
b) g(f(x) = x³ - 5 x² + x -5
Step-by-step explanation:
Step(i):-
Given that f(x) = x² + 1 and g(x) = x-5
a)
f(g(x)) = f(x-5) = (x-5)²+1 = x² - 10x +25 +1 = x² - 10 x +26
Step(ii):-
a) f g(x) = f(x) g(x) = (x² + 1 )(x-5) = x³ - 5 x² + x -5
b) g(f(x) = g(x) f(x) = (x-5) (x²+1) = x³ - 5 x² + x -5
Deja, Ryan, and Jamie walked in the same race on Friday. their race was 1/4 the length of Alex's 20-kilometers race on Sunday. How many more meters did Alex than Deja and Jamie walked together.
1 kilometer=1,000 meters
Answer:
Their race was 1/4 the length of Alex's 20km = 20 x 1/4 = 5 km
Alex than Deja and Jamie walked together : 20 - 5 = 15 km = 15000 m
Step-by-step explanation:
Light travels at a speed of 1.8 x 10^7 miles per second. Pluto's average distance from the sun is 3,600,000,000 miles. on average how long does it take sunlight to reach Pluto?
Answer:
5 hours 8 mins?
Step-by-step explanation:
Suppose an object is launched from ground level directly upward at 57.4 f/s Write a function to represent the object’s height over time.
Answer: p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
Step-by-step explanation:
We can suppose that the only force acting on the object is the gravitational force, then the acceleration of the object will be equal to the gravitational acceleration.
Then we can write:
a(t) = -32 ft/s^2
Where the negative sign is because this acceleration is downwards.
Now, to get the vertical velocity of the object, we need to integrate over time to get:
v(t) = (-32 ft/s^2)*t + v0
where t represents time in seconds and v0 is the constant of integration, and in this case, is the initial vertical velocity.
In this case, the initial velocity is 57.4 ft/s upwards, then the velocity equation is:
v(t) = (-32 ft/s^2)*t + 57.4 ft/s
To get the position equation we need to integrate over time again, to get:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t + p0
Where p0 is the initial height of the object, as it was launched from the ground, then the initial position is p0 = 0ft.
then the position equation (that is the function that represents the height of the object as a function over time) is:
p(t) = (1/2)*(-32 ft/s^2)*t^2 + (57.4 ft/s)*t
p(t) = (-16 ft/s^2)*t^2 + (57.4 ft/s)*t
WILL MARK BRAINLIEST PLEASE PLEASE solve the inequality for x. -2x - 2 < 8
Answer:
Step-by-step explanation:
we will add like terms
-2x-2<8
we will add 2 on both sides
-2x<10
divide by 2
-x<5
multiply by -1
x>-5
if the angles of a triangle are 45°, 45°, and 90° show that the length of the hypotenues is √2 times as long as each leg
Answer:
Step-by-step explanation:
2
(a )square root of 2 (c)
Answer:
Step-by-step explanation:
A Cable company charges $70 per month for cable service to existing customers.
a. Find a linear equation representing he relationship between x, the number of months of service, and y, the total amount paid in dollars by an existing customer.
b. For new customers, there is an additional one-time $100 service fee. Repeat the previous problem for new customers.
c. When the two equations are graphed in the coordinate plane, how are they related to each other geometrically?
In the function y= 1/3x^2,
what effect does the number 1/3 have on the graph,
as compared to the graph of the function y= x^2
A. It stretches the graph horizontally by a factor of 3.
B. It shrinks the graph horizontally to 1/3 its original width.
C. It shrinks the graph vertically to 1/3 its original height.
D. It stretches the graph vertically by a factor of 3.
What is the slope of this graph?
A. -4
B. 1/4
C. -1/4
D. 4
Answer:
-4 is the slope
Step-by-step explanation:
Because the line is going downwards that makes it a negative and if you count the boxes rise over run. You look for the point where the line meets a box perfectly and then you count the boxes down which is 4 and across which is one which makes it -4/1. So the slope is -4.
draw a line representing the rise and a line representing the run of the line. State the slope of the line in simplest form
Answer:
m = -1
Step-by-step explanation:
The slope of a line is calculated as ;
Given : (-2,3) and (2,-1)
m = Δy/Δx
m= -1-3 /2--2
m = -4 /4 = -1
The slope is -1
find the value of b
need help
Answer:
b=35
Step-by-step explanation:
Diagonals of a parallelogram always bisect each other, splitting it into two equal sections.
This means, b-8 is equal to 2b-43
b-8 = 2b-43
b+35=2b
b=35
Let me know if this helps!
PLSSS HELP!! I'LL GIVE BRAINLIEST IF RIGHT Which is the equation of a parabola with a directrix at y = 2 and a focus at (5, 0). A) y = one fourth(x − 5)2 + 1 B) y = one fourth(x + 1)2 − 5 C) y = −one fourth(x + 1)2 − 5 d) y = −one fourth(x − 5)2 + 1
Answer:
The answer is below
Step-by-step explanation:
A parabola is the locus of a point such that its distance from a given line (directrix) and a fixed point (focus) is always the same.
The equation of a parabola with a horizontal line as directrix is given by:
(x - h)² = 4p(y - k)
where y = k - p is the directrix and the focus = (h, k + p)
Given that parabola has a directrix at y = 2 and a focus at (5, 0)
Therefore:
y = k - p
k - p = 2 (1)
focus = (h, k + p) = (5, 0)
h = 5, k + p = 0
k + p = 0 (2)
Solve equation 1 and 2 simultaneously by adding both equations together:
2k = 2
k = 1
Substitute k = 1 in k + p = 0 to find p:
1 + p = 0
p = -1
Therefore h = 5, p = -1 and k = 1
Substitute the values of h, k and p into the equation of a parabola:
(x - h)² = 4p(y - k)
(x - 5)² = 4(-1)(y - 1)
(x - 5)² = -4(y - 1)
x² - 10x + 25 = -4y + 4
-4y = x² - 10x + 21
4y = 10x - x² - 21
Increase 386.3 by 4%
Given:
Increase 386.3 by 4%.
To find:
The value for given statement.
Solution:
We have,
Initial value = 386.3
Increasing rate = 4%
The increased value is
[tex]\text{New value}=\text{Initial value + Increasing rate }\times \text{Initial value}[/tex]
[tex]\text{New value}=386.3+\dfrac{4}{100}\times 386.3[/tex]
[tex]\text{New value}=386.3+15.452 [/tex]
[tex]\text{New value}=401.752[/tex]
Therefore, the required value is 401.752.
A car travels for 4 hours at an average speed of 45mph and then 6hours at an average speed of 35mph. Work out the distance travelled.
Answer:
390 miles
Step-by-step explanation:
(45 x 4) + (35 x 6) = 390 miles
If 7x−6y=2 and −2x−y=3 are true equations, what would be the value of 5x−7y?
Answer:
-55
Step-by-step explanation:
7x-6y=2
-2x-y=3
by substitution method
y=3+2x
7x-6(3+2x)=2
7x-18-12x=2
-5x=20
x=-4
-2(-4)-y=3
8-y=3
-y=3-8
y=5
therefore the value of x=4 and that of y=5
5x-7y=5(-4)-7(5)
=-20-35
=-55
Please help clarify answer and step by step explanation
Answer:
10
Step-by-step explanation:
When u cross multiply
[tex]5 \div x = 3 \div6[/tex]
= 3x=30(5*6)
= x=30/3
=x=10
Is 3 a factor of 24s - 167
yes
no
HELPPP
A regular polygon has 12 sides find the size of each of its interior angles
Answer:
150°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° ( n - 2) ← n is the number of sides
Here n = 12, then
sum = 180° × 10 = 1800°
Since there are 12 interior angles, then
size of each interior angle = 1800° ÷ 12 = 150°
1:Kevin Williams earns a weekly wage of $870. During the most recent week, he worked 47 hours. Gross Pay = $ 2:Charles Joyner earns a biweekly wage of $2,400. During the most recent week, he worked 42 hours. Gross Pay = $ 3:Julio Valdez earns an annual salary of $63,000. During the most recent week, he worked 42 hours. Gross Pay = $ 4:Bridget Stein earns a monthly salary of $7,300. During the most recent week, she worked 58 hours. Gross Pay = $ 5:Betsy Cranston earns a semimonthly salary of $2,100. During the most recent week, she worked 50 hours. Gross Pay = $
Answer:
Step-by-step explanation:
Ming and Daniel are selling cheese cakes for a school fundraiser. Customers can buy French silk cheesecakes and apple cheesecakes. Ming sold 6 French silk cheesecakes and 3 apple cheesecakes for a total of $114. Daniel sold 4 French silk cheesecakes and 5 apple cheesecakes for a total of $124. Find the cost of each of one French silk cheesecakes and one apple cheesecake.
Five families have signed up to bring a pie. If a single serving of pie is 1/6 of the entire pie, how many people will 5 pies serve?
Answer:
30
Step-by-step explanation:
That means that there are 6 pie pieces in each pie so just multiply by 5
another thing we can do is get rid of 1/6 by multiplying by 6 which means we also have to multiply 5 by 6
00:00
A company loses $5,400 as the result of a manufacturing defect. The 8 owners of the company must share the loss equally.
Part A
Which expression shows the change in profit for each owner?
O A. -5,400 + 8
O B. -5,400 - 8
OC -5,400.8
OD. -5,400 + 8
Which expression explains how to split the debt
Answer:
None of them. The proper expression(s) to split the debt are:
5400 / 8
or
8x=5400
PLS HELP ME ASAP I DONT HAVE TIME. IT ALSO DETECTS IF ITs RIGHT OR WRONG.
Answer:
10
Step-by-step explanation:
2pi(5) is 31.42.
31.42/pi gets you exactly 10pi meters.
who else thinks this is kinda a school social media??
Answer: I totally agree. In fact, it's the closest thing to social media I have LOL
3. A dragonfly traveled at a rate of 35 miles per hour for
2.5 hours. What distance did the dragonfly travel?
Answer:
70 miles
Step-by-step explanation:
You multiply 35 by 2.5
PLEASE HELP!!! DUE AT 11:59!!!
On Friday, a local restaurant served 150 customers. Of these, 114
people ordered soup. What percent of the customers ordered soup?
A: 13%
B: 66%
C: 34%
D: 76%
PLEASR HELP ASAP!!!!!!! i’ll mark brainlest
Part A The ordered pair that represents the intersection of the x-axis and y-axis is called the _ A endpoint B origin C x coordinate D y coordinate. Part B the coordinates of the origin are _ A (1,1) B (0,1) C (0,0) D (1,0) I will give 15 brain
Answer: Part A. B origin Part B. C(0,0)
Step-by-step explanation:
In a coordinate plane, there are two axes
1) x-axis which is the horizontal axis.
2) y-axis which is the vertical axis.
The intersection of both the axes is known as the origin whose coordiantes are (0,0), i.e. at this point value of x =0 and value of y =0.
Part A: The ordered pair that represents the intersection of the x-axis and y-axis is called the origin.
Part B: The coordinate. Part B the coordinates of the origin are (0,0).
Answer:
A 1,1
Step-by-step explanation:
