Answer:
A) x = -1
Step-by-step explanation:
[tex]f(-1)=3^{-1}=\dfrac13\\\\g(-1)=2(-1)+5=3\\\\\implies f(x) < g(x)[/tex]
[tex]f(2)=3^{2}=9\\\\g(2)=2(2)+5=9\\\\\implies f(x)=g(x)[/tex]
[tex]f(-3)=3^{-3}=\dfrac{1}{27}\\\\g(-3)=2(-3)+5=-1\\\\\implies f(x) > g(x)[/tex]
[tex]f(-4)=3^{-4}=\dfrac{1}{81}\\\\g(-4)=2(-4)+5=-3\\\\\implies f(x) > g(x)[/tex]
Help!! Thank you so much beforehand!
First, let's take a look at the larger polygon. The topmost side is 7 units long. Now, let's look at the small polygon. The topmost side is 1 unit long.
These polygons differ by a scale factor of 1/7.
7 * (1/7) = 1
49 * (1/7) = 7
Now, we know that x = 7.
The larger polygon has side lengths of 7, 49, 7, 49
The smaller polygon has side lengths of 1, 7, 1, 7
helppppp
can someone answer this?
Answer:
y=(x-3)^2-2
Step-by-step explanation:
We can see in the graph that the value of y for 1 its 2, so we have to test each equations to see which one is going to give us a 2 whit 1 as the x
-(1-3)^2-2=6 -(1=2)^2-3=-12(1-3)^2-2=2(1+2)^2-3Find the volume of the cylinder.
either enter an exact answer in terms of t or
use 3.14 for t.
There is no image, but the formula you would use is h[(3.14r)^2] where h is the height, r is the radius, and 3.14 stands for pi.
7k-35=5(1+2k)+2k
Can you solve the question
Answer:
7k-35=5+10k+2k
or, 7k-35=5+12k
or, -35-5=12k-7k
or, -40=5k
or, k=-40/5
Therefore, k=-1/8
The sum of two numbers is 6 and the sum of their squares is 90. Find the numbers.
Let's set up the variables for the two numbers --> 'a' , 'b'
Now let's set up some equations based on the given information:
sum of two numbers is 6 --> a + b = 6sum of their squares is 90 --> a^2 + b^2 = 90Equations:
a + b = 6 -- equation 1a^2 + b^2 = 90 -- equation 2Solve (equation 1) for b in terms of a
b = a - 6 -- equation 3
(equation 3) into (equation 2)
a^2 + (a - 6)^2 = 90
a^2 + a^2 - 12a + 36 = 90
2a^2 - 12a - 54 = 0
(2a + 6)(a - 9) = 0
a = -3 -- equation 4
a = 9 -- equation 5
(equation 4) into (equation 1)
-3 + b = 6
b = 9 - --- a = -3, b= 9
(equation 5) into ( equation 1)
9 + b = 6
b = -3 - --- a = 9, b= -3
Since the numbers are interchangeable, the two numbers are -3 and 9.
Hope it helps!
In ΔFGH, GH = 14, HF = 13, and FG = 15. Which list has the angles of ΔFGH in order from largest to smallest?
Answer:
HF, GH, FG largest to smallest
Step-by-step explanation:
HFGHFG
Find the value of x in the figure.
Answers:
A:7.615
B:7.154
C:9.284
D:2.67
Answer:
D: 2.67
Step-by-step explanation:
Assuming that both vertical lines are parallel, there are rules regarding angle sizes.
The rule that is specific to this question is alternate angles, this is when two angles are of the same size when they are on opposite sides of the line. This means that both equations equal each other:
10x + 13 = -3 + 16x
Add 3 to both sides to remove the negative 3 and isolate the 16x:
10x + 13 + 3 = 16x
10x + 16 = 16x
Subtract 10x from both sides of the equation to simplify:
10x + 16 - 10x = 16x - 10x
16 = 6x
Divide both sides by 6 to simplify:
6x = 16
[tex]x = \frac{16}{6}\\x = \frac{8}{3}[/tex]
Or in decimal form,
[tex]2.\overline{6} \\= 2.67[/tex]
Hope this helps!
Learn more about alternate angles theorem here:
https://brainly.com/question/24839702
tracie speaks 30 words in 45 seconds, at that rate approximately how many words will tracie speak in 120 seconds?
Tracie would speak approximately 80 words in 120 seconds.
What is a unit rate?It is the quantity of an amount of something at a rate of one of another quantity.
In 2 hours, a man can walk for 6 miles
In 1 hour, a man will walk for 3 miles.
We have,
We can use proportions to solve this problem.
If Tracie speaks 30 words in 45 seconds, then we can set up a proportion to find out how many words she would speak in 120 seconds:
30 words / 45 seconds
= x words / 120 seconds
Now,
45 seconds x (x words) = 30 words x 120 seconds
45x = 3600
x = 80
Therefore,
Tracie would speak approximately 80 words in 120 seconds.
Learn more about unit rates here:
https://brainly.com/question/11258929
#SPJ3
Michaela spent $234 preparing for a party with 18 guests. Each guest costs the same amount of money. How many guests could attend a party that cost $104 to prepare?
Answer:
8 people
Step-by-step explanation:
234 divided by 18 is 13.
104 divided by 13 is 8.
What is the graph of each function rule? 4. Y=|x|-1
Answer:
Step-by-step explanation:
__________________
X |_-2_|_-1_|__0_|_1_|_2_|
Y |_1_|__0_|__-1_|_0_|_1_|
X=-2 => y=2-1=1
X=-1=> y=1-1=0
X=0=> y=0-1=-1
X=1=> y=1-1=0
X=2 => y=2-1=1
..........
X=10=> y=10-1=9
X=-10=> y=10-1=9
=> (0,+∞]
HELP!!! WILL MARK BRAINLIST!!!! AND A 5 STAR REVIEW!!! AND A THANKS
Rewrite 32 as 32/1
1/4 x 32/1
To multiply 2 fractions, we multiply the nominators together, and the denominator together
1/4 x 32 = 1/4 x 32/1 = 1x32/4x1 = 32/4
Simplify as 8.
So, 1/4 x 32 = 8
Here are the measurements for a triangle. What kind of triangle will this be?
SIDES
3 inches
5 inches
3 inches
ANGLES
34 degrees
112 degrees
34 degrees
O Acute Isosceles
O Acute Scalene
O Obtuse Scalene
O Obtuse Isosceles
Answer:
Obtuse scalene triangle
Half a number added to the number gives 240.What is the number?
Answer:
Step-by-step explanation:
Let number be "n".
Half a number added to the number = 240
This means
0.5n + n = 240
1.5n = 240
Divide both sides by 1.5
n = 240/1.5 = 160
using substitution, how do you solve the simulateous equations y=3x+2 and y=x+6 ?
Answer:
X = 2
Step-by-step explanation:
y = 3x +2
y = x + 6
x + 6 = 3x + 2
6 = 2x + 2
4 = 2x
x = 2
7. Evaluate the expression ab for a = 8 and b=5.
Answer:
40
Step-by-step explanation:
First, we must know that ab is the same as:
a × b
Now, since a is given as 8, we can substitute a with 8. This is shown below:
ab = 8 × b
Similarly, b is given as 5. So, we can substitute b with 5:
ab = 8 × 5
With this, we can now evaluate ab as shown below:
ab = 8 × 5
= 40
Solve the following:
a
4x - 3 = 2x + 7
what does x equal
Answer:
x=5
Step-by-step explanation:
4x-3=2x+7
4x-2x-3=7
4x-2x=7+3
2x=10
2x/2 10/2
x=5
Answer:
x=5
Step-by-step explanation:
So we have to combine like terms
4x-3=2x+7
-2x -2x
2x-3=7
+3 +3
And now simplify
2x=10
/2 /2
x=5
You are holding a kite string in your hand. The angle of elevation from your hand to the kite is 57⁰ and the distance to the kite is 300 feet. Your hand is 5 feet above the ground. How high is the kite? Round your answer to the nearest tenth of a foot.
Answer:
256.6 feet
Step-by-step explanation:
First, I recommend drawing a picture for problems like this. See attached for my example!
-> What does the "angle of elevation" mean? In summary, if your hand has a line going out in both directions horizontally from it, it is the angle "up" to the kite.
Now, let us find out what formula(s) we will use to solve this problem.
-> We have two of the angles (so we can easily find the third) as well as the hypotenuse
-> We are solving for one of the legs, then adding five feet to it
-> I think I will use the 57° angle and the sine function since we have the hypotenuse and are solving for the opposite side (to the angle 57°)
Lastly, we will solve! First, I will find the length of the opposite side to the 57° angle.
sin(θ) = [tex]\frac{opposite}{hypotenuse}[/tex]
sin(57°) = [tex]\frac{x}{300}[/tex]
300sin(57°) = x
251.6 ≈ x
x ≈ 251.6 feet
Now we will add 5 feet to 251.6 since your hand is 5 feet above the ground.
251.6 + 5 = 256.6
Please Hurry!!!!!!
Graph y= –3x+4.
Answer:that’s easy
Step-by-step explanation:-3x+4=1x because first you put the higher number first and then you subtracted which is 1x. Hoped it work.
Answer:
Slope: − 3
y-intercept: ( 0 , 4 )
x y
0 4
4 /3 0
Step-by-step explanation:
What is the proportional relationship represented by this table?
Answer:
the constant of proportionality is 0.2 and it is a proportional relationship
Step-by-step explanation:
2 divided by 10 is 0.2
1 divided by 5 is 0.2
they have the same answer so they are proportional
since they have the answer 0.2 it
is there constant of proportionality
Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree has a circumference of 0.509 yards, the elm tree is 6281.70 millimeters around, and the poplar has a circumference of 0.000385 miles. There are 30.48 centimeters in a foot. Which tree has the greatest circumference?
a.
oak
b.
ash
c.
elm
d.
poplar
Answer:
Dave is comparing the circumferences of several trees in his yard. The oak tree is 0.539 meters in circumference, the ash tree has a circumference of 0.509 yards, the elm tree is 6281.70 millimeters around, and the poplar has a circumference of 0.000385 miles. There are 30.48 centimeters in a foot. Which tree has the greatest circumference?
a.
oak
b.
ash
c.
elm
d.
poplar
Answer:
Step-by-step explanation:
a.
oak
Step-by-step explanation:
Answer:
a
Step-by-step explanation:
hope it helps rex
I need help ASAP, square root of 11
Answer:
The square root of 11 is 3.31662479
Answer
3.317
hope this helped
Which equation is a step in solving the equation 5 - 3x + 2 = 19?
A.
15 - 3x1 = -17
B.
15 + 3x1 = 17
c.
5 + 3x = -17
D.
5 - 3x = -17
Answer:
D. 5-3x = 17
Step-by-step explanation:
The step carried out was subtracting 2 from both sides.
[tex]5 - 3x + 2 = 19 \\ 5 - 3x + 2 - 2 = 19 - 2 \\ 5 - 3x = 17[/tex]
Tanisha weighed a wooden block that was labeled 253.8 grams, and found that it actually weighed 235 grams. What was the percent error in the labeling of the block? ( Round to the nearest 10th of a percent. )
Answer:
8%
Step-by-step explanation:
If the block weighs 235 grams, we can do (253.8-235)/235=18.8/235=0.08. Because it's percent, we need to multiply by 100, so the answer is 8%.
A book costs $ 67. How much will be paid for 102 such books?
The cost of one book = $ 6 7
Number of books = 1 0 2
The cost of 102 books = $ 67 × 102
= $ 6834
Therefore, cost of 102 books = $ 6834
Answer:
$6,834
Step-by-step explanation:
Given:
cost of one book = $67Total cost = number of books × cost of one book
= 102 × $67
= $6,834
Can anyone help me please
What is 2.803 to the nearest half
Answer:
2.8
Step-by-step explanation:
Answer:
Step-by-step explanation:
1.401.2 simplify that and there you go
What is the verbal expression for 8+n
Answer:
eight plus n
Step-by-step explanation:
8 = said as "eight"
+ = said as "plus"
n = said as "n"
Hope this Helps! :)
Have any questions? Ask below in the comments and I will try my best to answer.
-SGO
Answer:
The verbal expression would be 8 plus a number
Step-by-step explanation:
Hope this helps~
There were 235 more red balloons than green balloons at a party. After 4/5 of the red balloons and 3/4 of the green balloons burst, there were 92 balloons left. How many balloons were there altogether?
So we know that the difference is 235.
And a red and green put together is 92 balloons * 5.
So 5 red and green balloons put together is 460, or 92*5.
460-235=225
225/9=25
92-25=67
So 5*67 and 4*25 is 435.
Your final answer should be 435 balloons in total.
Hi!!! This is a sheet of angles of triangles, I currently don’t understand this very well and need help thank you:)
Step-by-step explanation:
sum of angles in a triangle
qqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqqq
Answer:
x = 2°
steps:
7x + 3° = 8x + 1°7x - 8x = 1° - 3°-x = -2°x = 2°reason:
corresponding angles have same angle measure.
Answer:
x = 2
Step-by-step explanation:
Corresponding angles are equal
Therefore, 7x + 3 = 8x + 1
Subtract 7x from both sides:
⇒ 3 = x + 1
Subtract 1 from both sides:
⇒ 2 = x