Answer:
b=5
Step-by-step explanation:
Well, lets first divide by -2 on both sides. -10 divided by -2 is gonna be 5. So, b=5
The difference of two numbers is 15. Five times the smaller number is the same as 9 less than twice the larger number. Find the numbers.
Answer:
Step-by-step explanation:
"The difference of two numbers is 15."
x-y = 15
x>y
"Five times the smaller number is the same as 9 less than twice the larger number."
5y = 2x-9
y = x-15
substitution
5(x-15) = 2x-9
5x-75 = 2x-9
3x = 66
x = 22
y = x-15 = 7
Gianna had a canister with 6 1/2 pounds of sugar. She used 2 3/4 pounds of sugar to make cookies. How much sugar is left in the canister?
A. 3 3/4
B. 4 1/4
C. 4 3/4
D. 17 7/8
Identify the key features of these functions:
f(x) = 3(x + 5)2 − 10
g(x) = 200(0.95)x
h(x) = -0.25(x + 3)(x − 1)
The vertex of f(x) is at
. The function g(x) is decreasing at a rate of
%. The zeros of h(x) are at
and
.
Answer:
The vertex of f(x) is at (-5,-10).
The function g(x) is decreasing at a rate of 5%.
The zeros of h(x) are at x = -3 and x = 1.
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:
[tex]f(x) = ax^{2} + bx + c[/tex]
It's vertex is the point [tex](x_{v}, f(x_{v})[/tex]
In which
[tex]x_{v} = -\frac{b}{2a}[/tex]
If a<0, the vertex is a maximum point, that is, the maximum value happens at [tex]x_{v}[/tex], and it's value is [tex]f(x_{v})[/tex]
Decaying exponential function:
A decaying exponential function has the following format:
[tex]A(x) = A(0)(1-r)^{x}[/tex]
In which A(0) is the initial quantity and r is the decay rate.
Zeros of a function:
Given a polynomial f(x), this polynomial has roots [tex]x_{1}, x_{2}, x_{n}[/tex] such that it can be written as: [tex]a(x - x_{1})*(x - x_{2})*...*(x-x_n)[/tex], in which a is the leading coefficient.
Vertex of f:
The function f is given by:
[tex]3(x+5)^2 - 10[/tex]
Expanding the calculations to place at the correct format:
[tex]3(x+5)^2 - 10 = 3(x^2 + 10x + 25) - 10 = 3x^2 + 30x + 75 - 10 = 3x^2 + 30x + 65[/tex]
Which means that
[tex]a = 3, b = 30, c = 65[/tex]
The x-value of the vertex is:
[tex]x_{v} = -\frac{30}{2*3} = -5[/tex]
The y-value of the vertex is:
[tex]f(-5) = 3(-5+5)^2 - 10 = -10[/tex]
The vertex of f(x) is at (-5,-10).
Decreasing rate of g(x).
We have that:
1 - r = 0.95
So
r = 1 - 0.95 = 0.05
Which means that the decreasing rate is of 5%.
The zeros of h(x) are
The zeros are
x + 3 = 0 -> x = -3
x - 1 = 0 -> x = 1
So
The zeros of h(x) are at x = -3 and x = 1.
The statement "a>2 and a <5" is true when a is equal to what?
A.) 3
B.) 5
C.) 2
D.) 10
Answer:
A
Step-by-step explanation:
As 2 < a < 5, only option A suffices this condition, because 2 < 3 < 5.
2. What is the value of the number in the thousandths place of 1079.483?
Answer:
3
Step-by-step explanation:
Answer:
9000
Step-by-step explanation:
In ΔRST, r = 52 cm, s = 55 cm and ∠T=48°. Find the length of t, to the nearest centimeter.
Answer:
44
Step-by-step explanation:
delta math
The length of t is approximately 43.60 cm, to the nearest centimeter.
What are the properties of Triangle?The properties of the triangle are:
1. The sum of all the angles of a triangle (of all types) is equal to 180°.
2. The sum of the length of the two sides of a triangle is greater than the length of the third side.
3. In the same way, the difference between the two sides of a triangle is less than the length of the third side.
To find the length of side t in triangle RST, we can use the law of cosines, which relates the lengths of the sides and the cosine of one of the angles in a triangle:
[tex]c^2 = a^2 + b^2 - 2ab cos(C)[/tex]
where c is the length of the side opposite the angle C, and a and b are the lengths of the other two sides.
In this case, we know that:
r = RS = 52 cm
s = ST = 55 cm
∠T = 48°
So, we want to find the length of t, which is the side opposite the angle T.
Let's call the length of t "c". Then, applying the law of cosines, we have:
[tex]c^2 = r^2 + s^2 - 2rs cos(T)\\\\c^2 = (52 cm)^2 + (55 cm)^2 - 2(52 cm)(55 cm) cos(48^0)\\\\c^2 = 1901.57[/tex]
Taking the square root of both sides, we get:
c= 43.60 cm
Therefore, the length of t is approximately 43.60 cm, to the nearest centimeter.
Learn more about triangles here:
https://brainly.com/question/2773823
#SPJ2
Compare the two sets of data. Who gets more sleep? Why?
Jason, because he gets higher median hours of sleep
Jason, because he has less variability in sleep hours
Mitch, because he gets higher median hours of sleep
Mitch, because his maximum hours of sleep were greater than Jason’s maximum
Answer:
C. Mitch, because he gets higher median hours of sleep
Step-by-step explanation:
Please help me, I will give brainliest, I am struggling badly.
Answer:
Slope Number 1 is Harry.
Step-by-step explanation:
y = -1/2 + 30
-1 being one less exercise to complete
2 being the 2 minutes spent on each exercise
and 30 being the number of exercises
Travelling with a current, a boat covers a distance 1.5times greater than travelling against the current in the same amount of time. What is the speed of the boat in still water if the speed of the current is 1.5 mph
1. Which figure would you have used to make the Escher‐like tessellation shown below?
Answer:
I'm pretty sure the answer is B.
Step-by-step explanation:
Hope this helps u out!
On a certain map 4 inches represents 26 miles. What distance does 11 inches represent?
can someone help asap!
ANSWERS:
1) ∛216²=36
2) √81= 9
3) √4∧5=32
4)1.55
5)25
6)X
What is the area of a closet that is 6 feet wide and 10
4
110 feet long?
A 642 square feet
B 60 square feet
C 45 square feet
D 16, square feet
I am confused on what I need to do. someone please help?
Answer:
x = 16
Step-by-step explanation:
Since ∆ABC is congruent to ∆DEC, their corresponding angles would be equal to each other.
<B is congruent to <E, therefore,
<B = <E
x + 15 = 6x - 65 (substitution)
Collect like terms
x - 6x = -15 - 65
-5x = -80
Divide both sides by -5
x = 16
2. What is the composition f(g(x)) and the inverse of the composite (fog)
given f(x) = 2x + 3 and g(x) = x-5?
Answer:
f(g(x)) = 2x - 7
g(f(x)) = 2x - 2
Step-by-step explanation:
basically, you just want to plug in the g(x) function wherever you see an x in the f(x) function
f(g(x)) = 2(x - 5) + 3
= 2x - 10 + 3
= 2x - 7
the inverse function is doing the same thing but plugging in f(x) wherever you see an x in the g(x) function
g(f(x)) = (2x + 3) - 5
= 2x + 3 - 5
= 2x -2
A local park is renting canoes. Canoe rental costs $4.75 per hour. If you want to spend $9.50, how
many more hours (h) can you rent the canoe? *
Help
Answer:
I would say 2 hours
A rectangle has an area of 48 cm² and a perimeter of 38 cm. What are the dimensions of the rectangle?
A. 1 cm X 48 cm
B. 2 cm x 24 cm
C. 3 cm x 16 cm
D. 4 cm x 12 cm
E. 6 cm x 8 cm
Answer:
c
Step-by-step explanation:
3x16=48
3+16+3+16=48
pls brainliest
Which of the following is a source of income?
A.FICA
B.Investment
C.Timeshare
D.House purchase
Answer:
B. Invesment
Correct me if You want If its wrong.
Three friends at a video arcade win a total of 2,837 tickets. They decide to share the tickets equally. How many tickets will each friend receive?
Answer:
28373=947Step-by-step explanation:
You divide 2837 by 3 then your is 947
Glenda sells coffee for 50¢ and empanadas for $2 at the park on the weekends. One Saturday she
sold 90 items and made $105. How many coffees did she sell?
Answer:
50 coffees
(and 40 empanadas)
Step-by-step explanation:
x= coffee y=empanadas
.5x+2y=105
x+y=90
Isolate a variable
x+y=90
x-90= -y
-x+90=y
Plug this in for y in the other equation
.5x+2(-x+90)=105
Solve for x
.5-2x+180=105
-1.5x= -75
x=50
we can stop here but that's lame so let's figure out how many empanadas she sold
we know that x=50 so we can just plug this into either beginning equation and solve for y
50+y=90
y=40
What transformation is happening?
Answer:
Reflection and Dilation
Step-by-step explanation:
These two make the most sense for this.
Hope it helps and is correct!
X^2- 2x - 54 = 0
I need the answer for this please
x = -6, 8
Find the values of x by factoring, getting
(x - 8)(x + 6) = 0
Answer:
x = -6, 8
Step-by-step explanation:
Challenge in a company, 95% of the workers are men. If 270people work for the company who
aren't men, how many workers are there in all? Use pencil and paper. Show two different ways that
you can solve this problem.
There are workers in all. (Type a whole num
Answer:
5,400
Step-by-step explanation:
5% = 270
270 ÷ 5 = 54
54 × 100 = 5400
HELP AGAIN PLEASE 20 POINTS What methods can be used to solve a system of equations and when would you use each? Be sure to include systems with nonlinear equations.
Answer:
The three ways to solve a system of equations are substitution, elimination, and graphing. You can use these methods to solve any system of equations, it just depends on which method you use.
Step-by-step explanation:
In the substitution method, you get one variable isolated on one side of an equation, then use that equation to substitute the variable with what it's equal to into the second equation to solve the equation.
In the elimination method, you get all the variables in your equations together one side, and the constant on the other. Then, multiply or divide one or two equations to get one variable with the same coefficient for both equations (be sure to multiply or divide both sides to each equation), and add or subtract the equations together to get rid of that variable (make sure to add the left sides of the equations together and the right sides of the equations together, no the opposite!) and solve the equation.
In the graphing method, you solve for y in each equation, graph both equations on a coordinate plane, and find the point of intersection for both lines to solve the equation (For example, if the point of intersection is (2, 7), the answer to your equation would be X = 2 and Y = 7).
WILL GIVE BRAINLIEST TO BEST ANSWERED
Answer:
B
Step-by-step explanation:
Hope this helps
Answer:
It would be B
Step-by-step explanation:
Hope this helps
Please I need help haha it’s for math
Answer:
1600
Step-by-step explanation:
pls brainliest
Answer:
hope it helped have a good day mate
A town’s population of children increased from 376 to 421 during the past year.
Which equation shows how to find the percent increase?
Answer:
p = 421 - 376 over 376
Step-by-step explanation:
A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component.
Receiver: Kenwood, Sony, Sherwood
Compact disc player: Onkyo, Pioneer, Sony, Technics
Speakers: Boston, Infinity, Polk
Turntable: Onkyo, Sony, Teac, Technics
A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules:
A. In how many ways can one component of each type beselected?
B. In how many ways can components be selected if boththe receiver and the cd player are to be sony?
C. In how many ways can components be selected if noneis to be sony?
D. In how many ways can a selection be made if at leastone sony component is to be included?
E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?
Answer:
Step-by-step explanation:
A stereo store is offering a special price on a complete set of components (receiver, compact disc player, speakers, turntable). A purchaser is offered a choice of manufacturer for each component.
Receiver: Kenwood, Sony, Sherwood
Compact disc player: Onkyo, Pioneer, Sony, Technics
Speakers: Boston, Infinity, Polk
Turntable: Onkyo, Sony, Teac, Technics
A switchboard display in the store allows a customer to hook together any selection of components (consisting of one of each type). Use the product rules:
A. In how many ways can one component of each type beselected?
B. In how many ways can components be selected if boththe receiver and the cd player are to be sony?
C. In how many ways can components be selected if noneis to be sony?
D. In how many ways can a selection be made if at leastone sony component is to be included?
E. If someone flips the switches on the selection in acompletely random fashion, what is the probability that the systemselected contains at least one sony component?
There are 37 oak Trees Correctly in the park park workers will Plant 27 more oak Trees today how many oak Trees will The park have when The workers are finished
Answer:
64
Step-by-step explanation:
37+27=64
Complete the tables of values?
Plz help I’m so stuck on this
Answer:
d=1
e=4/9
f=16/81
Step-by-step explanation:
Substitute x in the right column with the values in the left column to find d, e, and f.
Answer:
d = 1
e = 4/9
f = 16/81
Step-by-step explanation:
d is 1 because any term raised to the power of zero equals one
e: (2/3)² = 2²/3² = 4/9
f: (2/3)^4 = 2^4/3^4 = 16/81