Answer:
A. -5 - 3x > 10
Step-by-step explanation:
x = -6
A. -5 - 3(-6) > 10
-5 + 18 = 13 > 10
true
B. -3 - 5(-6) < -14
-3 + 30 = 27 < -14
false
C. 1 - 2(-6) > 13
1 + 12 = 13 > 13
false
D. 2 - (-6) <-3
2 + 6 = 8 < -3
false
What’s the formula for motion?
how do i solve −3(x+5)<−21
Answer:
x>2
Step-by-step explanation:
-3x-15< -21
-3x< -21+15
-3x< -6
x>2
Answer:
answer is x > 2
Step-by-step explanation:
Interval Notation:
( 2 , ∞ )
scale factor 0.1 is it en large preserve or reduce
Answer:
Stay the same
Step-by-step explanation:
1 * x = x it will stay the same
Given the triangle that has a base of five less than triple the height. The height is 2x+6.
Part A: Determine the expression that represents that area of the triangle.
Answer:
A = 0.5(2x+6)(6x+13) = 6x² + 49x + 78Step-by-step explanation:
H = 2x+6 - the hight
3H = 3(2x+6) - triple the hight
3H-5 = 3(2x+6) - 5 - five less than triple the height
Area of triangle: A = 0.5BH
B = 3(2x+6)-5 = 6x + 18 - 5 = 6x + 13
H = 2x+6
So:
A = 0.5(2x+6)(6x+13) = (x+6)(6x+13) = 6x² + 13x + 36x + 78
A = 6x² + 49x + 78
A) The sum of 5 and 2 times p is at least 11.
5 + 2p is at least 11.
Subtract 5 from both sides.
2p is at least 11.
p > 5
Divide.
-6 7/8 divide by (-3 3/4)
Enter your answer as a mixed number, in simplified form, in the box.
Basic
-90 divided by (-9) can somebody help me please and also do it STEP BY STEP please this is Algebra 1 please STEP BY STEP
Answer:
10
Step-by-step explanation:
It is a one step equation
You really enjoy cooking and are planning on having friends over for dinner. You want to calculate how long it will take you to cook. You know you will need 10 minutes of prep time no matter how many guests come to dinner, and you will need 8 additional minutes per guest.
Answer:
Unfortunately I can't answer without more proper information
Step-by-step explanation:
Answer:
10 minutes no matter what
Step-by-step explanation:
it says "you want to calculate how long it will take you to cook. You know you will need 10 minutes of prep time no matter how many guests come to dinner, and you will need 8 additional minutes per guest.
Meaning it is going to sty at 10 no matter what
Sione just landed a great job as an engineer where he will make $55,000 a year. The company he
will work for guarantees a 3% pay increase each year so it's employees' salaries keep up with
inflation. At the end of the first year Sione will have made $55,000.
RECURSIVE FUNCTION?
Answer:
m (t) = m (t-1) * 1.03; m(t) = 55,000
Step-by-step explanation:
a classroom has 24 desks. if the students arrange the desks to 4 rows how many desks will be in each row explain.
Seven more than the product of five and a number is 45.
Answer:
7+(5n)=45
n= 7.6
Step-by-step explanation:
f(x) = 3x5 – 15x3 + 12x
Answer:
f(x)=3⋅5−15⋅3+12x
Simplify each term
f(x)=15−45+12x
Subtract 45 from 15
f(x)=−30+12x
MY NOTES
ASK YOUR TEACHER
According to the Bureau of Labor Statistics, in a recent year, there were 16,359,000 women aged 25 to 34 who were employed and 5,309,000
who were unemployed but looking for work. What is the rate per 1,000 women aged 25 to 34 who were employed? Round to the nearest whole
number.
Answer:
The rate of employed per 1000 women is 754
Step-by-step explanation:
Given
Employed = 16,359,000
Unemployed = 5,309,000
Required
Rate per 1000 women of employed
In this case, Rate is calculated by dividing employed by total women
i.e.
[tex]Rate = \frac{Employed}{Employed + Unemployed}[/tex]
[tex]Rate = \frac{16359000}{16359000 + 5309000}[/tex]
[tex]Rate = \frac{16359000}{21668000}[/tex]
Represent the denominator as a factor of 1000
[tex]Rate = \frac{16359000}{21668 * 1000}[/tex]
Divide
[tex]Rate = \frac{754.288086}{1000}[/tex]
Approximate
[tex]Rate = \frac{754}{1000}[/tex]
Hence, the rate of employed per 1000 women is 754
Sara is 7 years older than Sushil. June is 4 years younger than Sushil. If the total of their ages is 87, how old is the eldest of them?
Answer:
76
Step-by-step explanation:
Answer:
We have:
a) Sushi+7=Sara
b) June=Suhi-4
c) Sushi+Sara+June=87
3 equations with 3 variables, we can solve it.
we can introduce in a) and b) in c) and we get: Sushi+Sushi+7+ Sushi-4=87
3 sushi+3=87 which gives:
3 sushi= 87-3=84
sushi=84/3=28
Sara= sushi+7 (from b)= 35
June= sushi-4=24
We can check 24+35+28=87 All good
Step-by-step explanation:
4 1/8 (3x−4)=33
pls find x thank you
Answer:x=3 2/3
Step-by-step explanation:
Answer:
the answer is 23.3
Step-by-step explanation:
A gymnasium is 40 m long. Starting at one end lines are taped every 5 yd across the floor.
How many lines are taped across the floor?
Answer:
8 lines
Step-by-step explanation:
5 yards = 4.572 meters
40 m /4.572 = 8.7489063867
8 lines
how do I do this :( I tried but I can’t figure out how to
Answer:
Step-by-step explanation: got you
slope 2/3
x | y
0 -1
2/3 0
Which statement describes g(x) as a transformation of
f(x) and identifies an equation for g(x)?
Vertical stretch followed by a translation 1 unit left, so
g(x) = f*(x + 1)).
O Vertical stretch followed by a translation 1 unit right,
so g(x) = 1 + x = 1)).
O Horizontal stretch followed by a translation 1 unit left,
so g(x) = (3x + 2).
O Horizontal stretch followed by a translation 1 unit
right, so g(x) = (4 x - 1)
Answer:
The correct option is;
Horizontal stretch followed by a translation 1 unit left so g(x) = (3·x + 2)
Step-by-step explanation:
In geometric transformation, a dilation involves the increase in the dimension of the distances between points by a given scale factor.
Therefore, with regards to the question, a dilation can be represented by the product of the initial dimension, x, by a variable, such as an integer
A translation right is represented by an addition to the x value, while a translation left is represented by subtraction from the x value
Therefore, whereby f(x) = x + 1
An horizontal stretch of 3 will be 3 × (x + 1) = 3·x + 3
Followed by an a translation 1 unit left will be;
3·x + 3 - 1 = 3·x + 2;
Therefore;
g(x) = (3·x + 2).
Answer:
The answer is D on e2020
Step-by-step explanation:
- Find the coordinates of A if B(0,5.5) is the midpoint of AC and C has coordinates
(-3,6).
Given:
Coordinates of point C are (-3,6).
Point B(0,5.5) is the midpoint of AC.
To find:
The coordinates of A.
Solution:
Let the coordinates of point A are (a,b).
Formula for midpoint:
[tex]Midpoint=\left(\dfrac{x_1+x_2}{2},\dfrac{y_1+y_2}{2}\right)[/tex]
Using the above formula, the midpoint of A(a,b) and C(-3,6) is
[tex]B=\left(\dfrac{a+(-3)}{2},\dfrac{b+6}{2}\right)[/tex]
[tex](0,5.5)=\left(\dfrac{a-3}{2},\dfrac{b+6}{2}\right)[/tex]
On comparing both sides, we get
[tex]\dfrac{a-3}{2}=0[/tex]
[tex]a-3=0[/tex]
[tex]a=3[/tex]
and,
[tex]\dfrac{b+6}{2}=5.5[/tex]
[tex]b+6=11[/tex]
[tex]b=11-6[/tex]
[tex]b=5[/tex]
Therefore, the coordinates of point A are (3,5).
Use implicit differentiation to find the slope of the tangent line at the given point:
Answer:
[tex]\displaystyle \frac{dy}{dx}\Big|_{(1, 1)}=0[/tex]
Step-by-step explanation:
We are given the equation:
[tex](x^2+y^2)^2=4x^2y[/tex]
And we want to find the slope of the tangent line at the point (1,1).
Recall that the slope of the tangent line to a point of a function is given by the function's derivative.
Thus, find the derivative of the equation. Take the derivative of both sides with respect to x:
[tex]\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=\frac{d}{dx}\left[4x^2y\right][/tex]
Let's do each side individually.
Left:
We can use the chain rule:
[tex](u(v(x))'=u'(v(x))\cdot v'(x)[/tex]
Let v(x) be x² + y² and u(x) is x². Thus, u'(x) is 2x. Therefore:
[tex]\displaystyle \frac{d}{dx}\left[(x^2+y^2)^2\right]=2\left(x^2+y^2\right)\left(\frac{d}{dx}\left[x^2+y^2\right]\right)[/tex]
Differentiate:
[tex]\displaystyle \frac{d}{dx}[(x^2+y^2)^2]=2(x^2+y^2)\left(2x+2y\frac{dy}{dx}\right)[/tex]
Factor. Therefore, our left side is:
[tex]\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)[/tex]
Right:
We have:
[tex]\displaystyle \frac{d}{dx}\left[4x^2y\right][/tex]
We can move the constant multiple outside:
[tex]\displaystyle =4\frac{d}{dx}\left[x^2y\right][/tex]
We will use the Product Rule:
[tex]\displaystyle =4\left(\frac{d}{dx}\left[x^2\right]y+x^2\frac{d}{dx}\left[y\right]\right)[/tex]
Differentiate:
[tex]\displaystyle =4\left(2xy+x^2\frac{dy}{dx}\right)[/tex]
Therefore, our entire equation is:
[tex]\displaystyle 4(x^2+y^2)\left(x+y\frac{dy}{dx}\right)=4\left(2xy+x^2\frac{dy}{dx}\right)[/tex]
To find the derivative at (1,1), substitute and evaluate dy/dx when x = 1 and y = 1. Hence:
[tex]\displaystyle 4((1)^2+(1)^2)\left((1)+(1)\frac{dy}{dx}\right)=4\left(2(1)(1)+(1)^2\frac{dy}{dx}\right)[/tex]
Evaluate:
[tex]\displaystyle 4((1)+(1))\left(1+\frac{dy}{dx}\right)=4\left(2+\frac{dy}{dx}\right)[/tex]
Further simplify:
[tex]\displaystyle 8\left(1+\frac{dy}{dx}\right)=8+4\frac{dy}{dx}[/tex]
Distribute:
[tex]\displaystyle 8+8\frac{dy}{dx}=8+4\frac{dy}{dx}[/tex]
Solve for dy/dx:
[tex]\displaystyle 4\frac{dy}{dx}=0\Rightarrow \frac{dy}{dx}=0[/tex]
Therefore, the slope of the tangent line at the point (1, 1) is 0.
Oceanside bike rental shop charges 11 dollars plus 6 dollars an hour for renting a bike. Joan paid 35 dollars to rent a bike . How many hours did she pay to have the biked checked out?
Answer:
4 hours
Step-by-step explanation:
Can I get help with this
Answer:
Step-by-step explanation:
3(a^2 + a - 6)
3(a + 3)(a - 2)
answer is D
Solve for x:
X – 6 = 5x – 2
20 points + Brainlist if you answer this question please!
15?
Step-by-step explanation:
Cuánto mide el lado de un cuadrado si su área es de 20 cm
2x + 3 = 7
I'm confused
The answer is x=2
move all terms that dont contain x to the right side and then solve.
Answer:
x=2
Step-by-step explanation:
Sorry the picture is sideways, I was trying to fit everything in lol.
please help soon!!!
find the sum of the series
30
Z = (2k-1)
k=3
Find the midpoint between
(3,8)
and
(-10,5)
Answer:
(-3.5,6.5)
Step-by-step explanation:
See the photo for step-by-step explanation
Answer:
(6.5,1.5)
Step-by-step explanation:
It will take five builders 62 days to complete a particular project. At this rate, how long would the project take if there were only two builders?(SHOW WORK)
Answer:
2 builder complete work = 155 days
Step-by-step explanation:
Given:
5 builder complete work = 62 days
So,
1 builder complete work = 62 days × 5
if,
2 builder complete work = [62 days × 5] / 2
2 builder complete work = 155 days
what is 6/6 in a reduced fraction
Answer:
1
Step-by-step explanation:
Step 1:
6 ÷ 6
Answer:
1
Hope This Helps :)
f - 18 > 92
I need help fast
Answer:
F>110
Step-by-step explanation: