Answer:
y = -1/2x + 1Step-by-step explanation:
Slope-intercept form:
y = mx + bUse two of the ordered pairs and find the slope:
m = (1-2)/(0-(-2)) = -1/2y-intercept is 1 as point (0, 1) is given in the table:
b = 1The line is:
y = -1/2x + 1Over what interval is f(x) negative? Justify your answer.
Answer in interval notation is (-3, 1)
This is the same as saying -3 < x < 1
=====================================================
Explanation:
Since y = f(x), this means we're looking for points on the red curve such that they have a negative y coordinate. Visually, we're looking for points that are below the horizontal x axis.
These points are shown in the diagram below. I've marked the section we're after in blue. This blue section spans from x = -3 to x = 1. We exclude both endpoints because each x value leads to f(x) = 0, but we want f(x) values smaller than zero.
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
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
What is the best prediction of the amount of money earned when the lemonade stand has been open for 9 hours
Answer: $50
Step-by-step explanation: Draw a line through the apparent center of the scattered dots. See where that line intersects 9 in the time scale (x-axis numbers) and the dollars earned scale (y-axis numbers)
It could be 50 or 55, but since there are a few more dots below the apparent midline, it may be best to use the lower estimate.
Find an ordered pair that satisfies the function y=2x-12
PLEASE HELP!!! DUE AT 11:59!!!
PLS HELP MEEE I NEED THE ANSWERS RN
Answers:
x= -10 and y= 16
3y = -6x - 12
3y = -6(-2y+22) -12
3y = 12y - 144
3y + -12y = 12y -144 + -12y
-9y = -144
divide -9 on both sides
y= 16
x= -2y+22
x= -2y+22
x= (-2)(16)+22
x= -10
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:
Write the quadratic equation whose roots are - 5 and -4, and whose leading coefficient is 3.
Answer:
The quadratic equation is
3x^2+ 27x + 60
Step-by-step explanation:
Here, we have the roots -5 and -4 and the leading coefficient of 3
Mathematically, we simply have this done to the roots;
x = -5 implies x+ 5
x = -4 implies x + 4
The product of this two will be;
(x + 5)(x + 4)
= x^2 + 5x + 4x + 20
= x^2 + 9x + 20
we add the leading coefficient
that would be;
3(x^2 + 9x + 20)
= 3x^2 + 27x + 60
1. Sarah went to dinner, and the bill was $15.25. She left a 15% tip. How
much money did she leave rounded to the nearest penny?
Answer:
$17.54
Step-by-step explanation:
15% percent of $15.25 is $2.29 so, add them together
$17.54 is the answer I think
The digit 5 in 5³ is known as
Answer: it is called the base
Step-by-step explanation:
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:
Definition of equilateral triangle
Answer:
An equilateral triangle has all its 3 angles the same.
Hope this helped. :)
Equilateral triangle:
An equilateral triangle is a triangle having three equal sides, or what is sometimes referred to as a "regular" triangle. Because all three sides of an isosceles triangle are equal, an equilateral triangle is a particular case of an isosceles triangle.
Additionally, an equilateral triangle has three equal angles of 60 degrees.
Equilateral Triangle Perimeter:
In geometry, any polygon's perimeter is equal to the sum of its sides. The perimeter of an equilateral triangle is equal to the sum of its three sides.
In the event that ABC is an equilateral triangle, then its perimeter is;
Perimeter = AB + BC + AC
P = a + a + a
P = 3a [where "a" is the triangle's side length.]
To read more about "Equilateral Triangle" here:
brainly.com/question/10681095
1) Determine the length of "x" in the following triangle and mention if you're solving
for a leg or a hypotenuse.. (5 pts.)
55
Answer:
X=48
Step-by-step explanation:
x^2+y^2=z^2
but in this case it's z^2-y^2=x^2
so 73^2= 5329
and 55^2=3025
5329-3025=2304
Square Root of 2304 is 48, meaning X=48
Hope this helps!
If triangles ADE and ABC shown in the figure below are similar, what is the value of X?
A) 4
B) 5
C) 6
D) 10
Answer: pretty sure it’s 6 because of its giving you an x to solve and there is a number across from it you multiply that number by 0.5
Step-by-step explanation:
and 0.5 x 12 is 6
The measure of the side length of the triangle is 6. Then the correct option is C.
What is the triangle?A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.
If the two triangles are similar, the ratio of the corresponding sides will be constant.
If triangles ADE and ABC shown in the figure below are similar.
From the figure, we have
x / 12 = 2 / 4
x = 6
Then the correct option is C.
The complete question is attached below.
More about the triangle link is given below.
https://brainly.com/question/25813512
#SPJ2
Factor the polynomial by its greatest common monomial factor.
44k5 – 66k4 +77k3
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.
Is 3 a factor of 24s - 167
yes
no
HELPPP
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!
After 1 day, 300 copies of a book are sold. Each of the following days, 20 more copies are sold. Use an equation in point-slope form to model the sales of the book and determine how many copies will be sold after 15 days. copies
Answer:
the answer is 600!
Step-by-step explanation:
the formula would be... 300+20x when x=the amount of days, have a great day I hole this helped!
Answer:
300+20x, 600 total copies created.
Step-by-step explanation:
x= number of days.
20 papers per day.
20(15) is 300.
300+300=600
please someone tell now it's urgent
Answer:
It's first one Thank me later ! HAHAHAHA
Step-by-step explanation:
please help meeeeeeee
Whoevers types first i will mark brainliest
Answer:
hehehe
Step-by-step explanation:
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
This is my 2 try can someone plz help me get the answer
Answer:
surface area is the answer
1
2
Determine the values of n for which f(x) = x* has an inverse that is a function. Assume that n is a whole numbe
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%
it be much appreciated if anyone could help out
Factor: 16w3 – u4w3
Answer:
w^3(4 + u^2)(2 + u)(2 - u)
Step-by-step explanation:
6w^3 – u^4w^3
w^3(16 – u^4)
w^3(42 - ((u^2)^2)
w^3(4 + u^2)(4 - u^2)
w^3(4 + u^2)(22 - u^2)
w^3(4 + u^2)(2 + u)(2 - u)
Guys, I really need that help T-T.
The side lengths of a triangle are 5,√3,√28. Is the triangle a right triangle? How would I solve this?
First to Answer:
The triangle would be a cute Scalene Triangle!
Here's all that you really can do with solving that
√28 =5.29150262213
√8 = 2.82842712475
Side a = 2.8
Side b = 5
Side c = 5.2
Angle ∠A = 31.788° = 31°47'18" = 0.55481 rad
Angle ∠B = 70.167° = 70°10'0" = 1.22464 rad
Angle ∠C = 78.045° = 78°2'42" = 1.36214 rad
Area = 6.84817
Perimeter p = 13
Semiperimeter s = 6.5
Height ha = 4.89155
Height hb = 2.73927
Height hc = 2.63391
Median ma = 4.9051
Median mb = 3.34515
Median mc = 3.10805
Inradius r = 1.05357
Circumradius R = 2.65764
Vertex coordinates: A[0, 0] B[5.2, 0] C[4.25, 2.63391]
Centroid: [3.15, 0.87797]
Inscribed Circle Center: [3.7, 1.05357]
Circumscribed Circle Center: [2.6, 0.55051]
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