The number x ≤ 10 for the inequality (-1/5)x + 3 ≤ 1.
What is inequality?It shows a relationship between two numbers or two expressions.
There are commonly used four inequalities:
Less than = <
Greater than = >
Less than and equal = ≤
Greater than and equal = ≥
We have,
Negative one-fifth of the number, increased
by 3, is at most 1.
Number = x
This can be written as,
(-1/5)x + 3 ≤ 1
Solve for x.
(-1/5)x + 3 ≤ 1
(-1/5)x ≤ 1 - 3
(-1/5)x ≤ -2
x ≤ -2 x (-5/1)
x ≤ 10
Thus,
The number is less than or equal to 10.
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On the windowsill is a plant that is 10 inches tall. It is growing 3 inches per
week. A second plant, which is 17 inches tall, is on the coffee table. It is
growing 2 inches per week. Eventually the two plants will be the same
height. How tall will the plants be? How many weeks will that take? *
Answer:18 days
Step-by-step explanation:
Here's a short table of heights:
day 0: height = 1
day 1: height = 1 + (1/2)(1) = 3/2
day 2: height = (3/2) + (1/3)(3/2) = 3/2 + 1/2 = 2
The pattern of heights is ...
(day, height) = (0, 1), (1, 1.5), (2, 2)
The plant is growing 1/2 its original height each day, so we can write the equation ...
h = 1 + d/2
We want to find the number of days (d) that result in a height of 10 (ten times the original height).
10 = 1 + d/2
9 = d/2 . . . . subtract 1
18 = d . . . . . multiply by 2
It took 18 days for the plant to grow to 10 times its original height.
Answer:
it would take 9 weeks for both of the plants to equally meet the same height which is 33 inches
Step-by-step explanation:
Can i please get branelist
FREE BRAINLIEST! if you can answer this correctly ill give you brainliest and answer some of the questions you have posted :) thank you very much!!! (22pts)
Answer:
It would be a trapezoid!
Step-by-step explanation:
Answer:
I'm sorry if this is wrong but I think...maybe a Rhombus or a Trapezoid?
Write the equation for "16 is equivalent to the product of 7 and a
number d”
Answer:
16 = 7 * d or 16 = 7d
Step-by-step explanation:
16 is equivalent to the product of 7 and a number d
Substitute mathematical signs for the words-
is equivalent means =
product means to multiply *
16 is equivalent to the product of 7 and a number d
16 = 7 * d Could also be written as 16 = 7d
20 points! will mark brainliest!
A 103-foot wire is used to support a utility tower. It runs from the tower to the ground and forms a 24° angle with the ground.
Answer:
Height of Tower = 41.8901 ft
Base to Ground Wire = 94.0905 ft
Step-by-step explanation:
So you want to find the opposing side of the angle, as well as the distance from the base to where the wire is attached to the ground. You would need to use CAH to find the ground, and SOH to find the height. To find the height or opposite, take the Sine of 24°, 0.4067, and times it by your hypoteneuse 103 to get an exact height of 41.8901 ft. Next, use the Cosine of 24°, 0.9135, and times that by your hypoteneuse 103 to get 94.0905 ft.
Here are the equations:
sin(24)=[tex]\frac{h}{103}[/tex]
cos(24)=[tex]\frac{h}{103}[/tex]
The base of the utility tower from the location where wire is attached to the ground is 94.09 feet and the wire attached to the tower at a height of 41.89 feet.
What is right angle triangle property?In a right angle triangle ratio of adjacent side to the hypotenuse side is equal the cosine angle between them.
[tex]\cos\theta=\dfrac{a}{c}[/tex]
Here, (a) is the adjacent side, (c) is the hypotenuse side and [tex]\theta[/tex] is the angle made between them.
a) The value from the base of the utility tower from the location where wire is attached to the groundThe length of the wire is 103 foot. This is the hypotenuse side of triangle made by the wire, tower, and ground.
The angle between the wire (hypotenuse side) and ground (adjacent side) is 24 degrees. Therefore, the cosine angle can be given as,
[tex]\cos (24^o)=\dfrac{a}{103}\\0.9135\times103=a\\a=94.09\rm ft[/tex]
b) The wire attached to the tower at a height of __ feet.In a right angle triangle ratio of opposite side to the hypotenuse side is equal the sine angle between them. Let the height of the tower (opposite side) is b ft. Therefore,
[tex]\sin(24^o)=\dfrac{b}{103}\\0.4067\times103=b\\b=41.89\rm ft[/tex]
Thus, the value from the base of the utility tower from the location where wire is attached to the ground is 94.09 feet and the wire attached to the tower at a height of 41.89 feet.
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I need help! 50 points + brainliest
1 - Find the values of x for which the combined function h(x) = f(x)/g(x) is undefined if f(x) = 5x + 1 and g(x) = x^2 - 9.
x = ±3
x = 3
x = -3
x = ±9
2 - Find the function h(x) = f(x) - g(x) if f(x) = 3^x and g(x) = 3^2x - 3^x.
h( x) = 0
h( x) = -3 ^2x
h( x) = 3 ^x(2 - 3 ^x)
h( x) = 2(3 ^2x)
Answer:
Part 1)
A
Part 2)
C
Step-by-step explanation:
1)
We are given:
[tex]f(x)=5x+1\text{ and } g(x)=x^2-9[/tex]
And that:
[tex]h(x)=f(x)/g(x)[/tex]
And we want to now for which values of x is h(x) undefined.
So, by substitution:
[tex]\displaystyle h(x)=\frac{5x+1}{x^2-9}[/tex]
Remember that for rational functions, the function will be undefined if and only if the denominator is 0.
This is because we cannot divide by 0.
So, to find the values for which the denominator is 0, set the denominator to 0 and solve for x. Therefore:
[tex]x^2-9=0[/tex]
Add 9 to both sides:
[tex]x^2=9[/tex]
Take the square root of both sides. Since we are taking an even-root, we will need plus/minus. Therefore:
[tex]x=\pm 3[/tex]
So, h(x) is undefined for ±3.
Our answer is A.
2)
We are given:
[tex]f(x)=3^x\text{ and } g(x)=3^{2x}-3^x[/tex]
And we want to find:
[tex]h(x)\text{ if } h(x)=f(x)-g(x)[/tex]
So:
[tex]h(x)=3^x-(3^{2x}-3^x)[/tex]
Distribute:
[tex]h(x)=3^x-3^{2x}+3^x[/tex]
Combine like terms:
[tex]h(x)=2(3^x)-3^{2x}[/tex]
Rewrite:
[tex]h(x)=2(3^x)-(3^x)(3^x)[/tex]
Factor out:
[tex]h(x)=3^x(2-3^x)[/tex]
So, our answer is C.
Swim floats are on sale at Sam’s
Swim Shop. They are marked 30%
off of the original price of
$18.00. How much will the float
cost?
Answer:
$12.60
Step-by-step explanation:
30% of 18 = 5.4
18 - 5.4 = 12.6
Answer is $12.60
Answer:
$12.60
Step-by-step explanation:
30% is just 0.3 of a number, do 100%-30% which gives you 70% or 0.7, 0.7 of 18 would be 12.6 or $12.60
Please help me out ASAP will give brainliest!!
Answer:
SEE EXPLANATION
Step-by-step explanation:
Side opposite to larger angle is larger and the side opposite to smaller angle is smaller.
Side opposite to the angle ABH is AH
and side opposite to angle GHB is GB
Since angle ABH > angle GHB..... (given)
Therefore, AH > GB
can someone write
[tex] \frac{x}{3 \sqrt{x} } [/tex]
in index form
I don't know how to write it in index form but I can Rationalize the Denominator.
Rationalize the Denominator: [tex]\frac{\sqrt{x} }{3}[/tex]
I NEED HELP, WHAT IS THE VALUE OF X?
A player on a school baseball team reaches first base 3 10 of the time he is at bat. Out of 50 times at bat, how many times would you predict he will reach first base?
Answer:
15 times
Step-by-step explanation:
Proportion of times first base is reached = 3 / 10
If Number of times at bat = 50
Number of times first base is reached :
Proportion * Number of times at bats
3/ 10 * 50
(3 * 50) / 10
(150 / 10)
= 15 times
What is tan 45°?
45°
v2
1
1
90°
45°
Answer:
the aanswer is 1
Step-by-step explanation:
Chris works at a jewelry store, and he earns 4% commission on all sales that he makes. If Chris's jewelry sales total $1,370, how much will he earn in commission?
Answer:
[tex]\boxed {\boxed {\sf \$54.80}}[/tex]
Step-by-step explanation:
Chris earns the commission on the jewelery sales. To calculate what he earned, multiply the commission rate and his sales.
[tex]commission= commission \ rate * sales[/tex]
His rate is 4% and his sales are $1,370
[tex]commission= 4\% * \$1370[/tex]
Convert the percent to a decimal. Divide by 100 or move the decimal two spots to the left.
4/100= 0.04 4.0 --> 0.4 --> 0.04[tex]commission= 0.04* $1370[/tex]
[tex]commission = \$ 54.8[/tex]
Chris's commission is $54.80
01:59:16
C C E
Martina rolls a fair, 6-sided number cube 10 times and records the proportion of 3s rolled. She repeats this process
of rolling the number cube 10 times and recording the proportion of 3s rolled many, many times. She then makes a
histogram of the results. This histogram approximates
the bias, if any.
O a Normal curve,
the population distribution.
o the distribution of sample data.
the sampling distribution of the proportion of 3s in 10 rolls of the die.
Mark this and return
Save and Exit
Next
Submit
Answer:
the sampling distribution of the proportion of 3s in 10 rolls of the die.
Answer:
(B) a Normal curve.
Step-by-step explanation:
Because of the central limit theorm, the histogram will become more and more Normal as n ( the smaple size) gets larger.
If the national average for a gallon of gas is $3.10, how much should you expect to pay for gas in philadelphia versus atlanta
Answer: $3.63 / $3.29
Step-by-step explanation:
In Philadelphia, you would pay:
= 3.10 * Percentage of national average for transport
= 3.10 * 117%
= $3.63
In Atlanta:
= 3.10 * Percentage of national average for transport
= 3.10 * 106%
= $3.29
The table below compares the cost of living in Philadelphia and Cleveland, with the numbers representing percentages of the national average.
Answer:
$3.63 / $3.29
Step-by-step explanation:
Just did test
help i don’t really know how to do this
Answer:
A
Step-by-step explanation:
Given m||n fine the value of x
Jan bought a new sweater. It was priced at $32.00 and there was a 25% discount. She
gave the cashier $40.00. What was her change?
Answer:
$16
Step-by-step explanation:
What is m∠1?..........
the answer is 69
hope that helped
Solve one half ÷ 8 = _
Answer:
1/2 of 8 = 4
Step-by-step explanation:
Hope this helps
Answer:
1/16
Step-by-step explanation:
[tex]\frac{1}{2}[/tex]
_____
8
1/2*1/8
=[tex]\frac{1}{16}[/tex]
Hope this helps!
Brainliest? ✨
Please help me, to be submitted tomorrow. Pls help
Answer:
I got the answer 13
Step-by-step explanation:
To be short, I use the tangent ratio
Answer:
i got 13 but i would try to work it out yourself just incase
Step-by-step explanation:
30 miles to kilometres
Answer:
48.2803
Step-by-step explanation:
Answer:
48.2803
Step-by-step explanation:
A composite figure is divided into two congruent trapezoids, each with a height of 4 cm.
What is the area of this composite figure?
A. 32cm
B. 40cm
C. 64cm
D. 80cm
Answer:
the answer is C
Step-by-step explanation:
What is the measure of
Answer:
gvb
Step-by-step explanation:
your question is wrong
ask right question first
A 2-bedroom apartment that rents for $520 a month is $40 less than twice the cost of a 1-bedroom apartment. What is the monthly rent of a 1-bedroom apartment?
Answer:monthly rent of a 1-bedroom apartment= $280
Step-by-step explanation:
Let the cost of 1 bed room apartment = x
And the cost of two bedroom apartment= 2x-40
Since the cost of of two bedroom apartment = $520
Then the cost of one bed room part will be expressed as
520= 2x- 40
520+40 = 2x
560= 2x
x= 560/ 2
x= 280
Therefore the cost of 1 bed room apartment = x= $280
Brainliest for whoever get this right :):):):)
Answer:
the slope is: Positive
slope is: 1/5
y-intercept: -4
equation is: y = 1/5x - 4
Answer:
Slope: Postive
Slope: 5
Y-Intercept: -4
Equation: y = 5x - 4
Step-by-step explanation:
A positive slope rises left to right, a negative slope rises right to left.
The slope is [tex]\frac{rise}{run}[/tex].
The y-intercept is where the line meets the y-axis.
The equation is written in the form y = mx + b, where m is the slope and b is the y-intercept.
Hope it helps and is correct!
Twenty people in your class want to be on a 5-person bowling team to represent the
class. How many different bowling orders can be chosen?
Answer:
4 :)
Step-by-step explanation:
A printer that originally cost $200 is on sale for 25% off.
What is the amount of the discount?
A
$175
B
$25
С
$50
D
$150
what type of slope does a horizontal line have
Answer:
It has a slope of 0
Step-by-step explanation:
Answer:
a slope of zero
Step-by-step explanation:
a vertical line has an undefined slope, a horizontal line has a slope of zero
Plzzz help! Answer quick
Answer:
The answer is 6
Step-by-step explanation:
Answer:
The Area of the given figure is 6 inch²
Step-by-step explanation:
For a given Trapezoid
side a = 1 ½ = 1.5 inch
side b = 2½ = 2.5 inch
height (h) = 3 inch
Now, Area of Trapezoid
Formula:A = ½ (a + b) × h
A = ½ (1.5 + 2.5) × 3 inch
A = ½ × 4 × 3 inch
A = 2 × 3 inch
A = 6 inch²
Thus, The Area of the given figure is 6 inch²
-TheUnknownScientist
What are the first 4 terms of the arithmetic sequence in the graph?
Enter your answers in the boxes.
Answer:
The answer is 4, 6, 8, and 10
Step-by-step explanation:
The graph shows that every time you move 1 right, you move 2 up.