[tex]\huge\text{Hey there!}[/tex]
[tex]\large\boxed{\mathsf{7x > 49}}\\\\\large\text{DIVIDE 7 to BOTH SIDES}\\\\\large\boxed{\mathsf{\dfrac{7x}{7}>\dfrac{49}{7}}}\\\\\large\text{CANCEL out: }\rm{\bf \dfrac{7}{7}}\large\text{ because it gives you 1}\\\\\large\text{KEEP: }\rm{\bf \dfrac{49}{7}}\large\text{ because it gives you the value of what is being compared}\\\large\text{to the x-value.}\\\\\large\boxed{\mathsf{x>\dfrac{49}{7}}}\\\\\large\text{SIMPLIFY IT!}\\\\\large\boxed{\mathsf{x > 7}}[/tex]
[tex]\huge\text{Therefore, your answer: \boxed{\mathsf{x > 7}}}\\\\\large\boxed{\mathsf{it\ is\ an\ O P E N\ circle\ shaded\ to\ the\ RIGHT}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
is the product of two irrational numbers always gonna be irrational
well, we can say that √2 and √7 are irrational numbers, they do not provide a value that can be written in a "ration" or fractional.
we can also say that √2 * √7 is √(14), which is also irrational.
However, how about √7 * √7, that's √7² or namely just 7, and that's a rational, so nope, not always.
a shower head model is using 25 gallons every 5 minutes. How many gallons will be used in one minute?
Answer:
47 gallons is you want the world wide web nya berarti aku 0you
A particle moves along the x-axis so that time t>0 the position is given by x(t)=0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1. What is the velocity of the particle at the first instance the particle is at the origin?
The velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.
To find the velocity of the particle at the first instance it is at the origin, we need to find the value of t when x(t) = 0.
Since the particle is at the origin when x(t) = 0, we have:
[tex]0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1 = 0[/tex]
Using numerical methods or graphing the equation, we find that the roots are approximately t ≈ -0.618, t ≈ 1.532, t ≈ 3.143, and t ≈ 2.944.
Since t > 0, the first instance the particle is at the origin corresponds to t ≈ 2.944 (the smallest positive real root).
Now, to find the velocity of the particle at this instance, we need to find the derivative of the position function x(t) with respect to time t, which gives us the velocity function v(t):
v(t) = dx/dt
[tex]v(t) = d/dt (0.5t^4 - 1.5t^3 - 2t^2 + 6t - 1)\\v(t) = 2t^3 - 4.5t^2 - 4t + 6[/tex]
Now, we can find the velocity at t ≈ 2.944:
[tex]v(t = 2.944) = 2(2.944)^3 - 4.5(2.944)^2 - 4(2.944) + 6[/tex]
v(t ≈ 2.944) ≈ 16.885
So, the velocity of the particle at the first instance it is at the origin (approximately t ≈ 2.944) is approximately 16.885 units per time unit.
learn more on velocity :
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Which in fraction reprecent 80%
Answer:
answer is 4/5
What happens to the value of y in the following equation as the value of x increases, where x is a whole number?
y = x 2 + 4
Answer:
y as well will increase as x value increases bc x is a whole number and y intercept is positive 4
It is found that as the x value increases then the y value will also increase.
What does it mean to solve an equation?An equation represents the equality of two or more mathematical expressions. When someone asks you to solve an equation, then they usually mean to find the values of the unknowns for which that equation would be true (the equality between expressions should hold for those values). Solutions to an equation are those values of the variables involved in that equation for which the equation is true.
We have been given the equation as y = x² + 4
when the value of x is 0 then the value of y will be;
y = x² + 4
y = 0 + 4
y = 4
when the value of x is 1 then the value of y will be;
y = 1² + 4
y = 1 + 4
y = 5
Also when the value of x is 2 then the value of y will be;
y = 2² + 4
y = 4 + 4
y = 8
Thus we can conclude that as the x value increases then the y value will also increase.
Learn more about solving equations here:
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Explain why the square root of a number is defined to be equal to that number to the 1/2 power.
This is because of the law of indices which says:
[tex]\sqrt[x]{n}[/tex]= [tex]x^{\frac{1}{m} }[/tex]
So, if we have:
[tex]\sqrt{n}[/tex]
Then the following will be true because of this math law:
[tex]n^{\frac{1}{2} }[/tex]
Side note: The m value can be greater than n and or less than n, but if it is equal the m and n values cancel out.
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather
Graph the compound inequality on the number line.
Answer:
x can equal any number between 0 and 8. This also includes 8.
Step-by-step explanation:
As noted in the problem, x is more than -1 (x > -1)
So we can infer that -1 and anything past it to the left is not a viable answer.
As noted in the problem, x is lesser than or equal to 8 (x ≤ 8) meaning that anything past 8 to the right will not be a viable answer.///
It will look something like this.
It will stop here --v
---•---|---|---|---|---|---|---|---•---
0 1 2 3 4 5 6 7 8
(Hope this helped, however I learned this 2 years ago so my memory might be a little foggy. The exact kind of point (filled or not) namely won't be something I know.)
Use a table to find two consecutive integers between which the solution lies.
1. 6x+5=81
2. -115b+80=-489
someone please help me with this :,)
Answer:
352/7 is answer
Step-by-step explanation:
in the given diagram ,
( angle )AOC= 20 °/• of ( angle )BOC . find the measure of ( angle )AOE if OE is the bisector of
( angle ) AOD
• need a well explained ans
• no spams and plagiarism
• kindly stay out of the question if u don't know the ans
Answer:
It should be BOC
Step-by-step explanation:
this is because a bisector is always a cross or any other shape that cuts something into its exact half (unlike intersect which can cut any shape in any form unlike its exact half )
so, as you can see in the figure, angle BOC is bisecting* AOC at its exact half, angle BOC is the answer.
Also, the measure of BOC (angle) should be 53°
solve pls brainliest
Answer:
Rate of change problem:
theres 2 ways but it’s a basically the same thing, if you do these questions enough you’d know right away to find the unit rate of gallon of gasoline To price.
So you can divide.
10 gallons, 23 dollars
23 ÷ 10 = $2.30
$2.30 per gallon of gasoline.
Now we multiply by 15 to find how much will 15 gallons will cost.
2.3*15= $34.5
or you can do it proportionally, this is if you would want to show your work more clearly or just started doing these problems.
So we can make x unknown price.
So we know its 10 gallons for 23 dollars
we want to know how much it would be for 15 gallons
So we can do it like gallon/ price = gallon/ price
ex:
10/23 = 15/x
Make sure it’s lined up correctly
Now just cross multiply and solve for this proportion
10x= 345
now solve
x= 34.5
same answer
Please help me with this question :)
Answer:
B
B
B
Step-by-step explanation:
Probability doesn't deal with decimals and even if you change the values into fraction. I don't think you will get the right answer
Felicia wants to keep her bill under $55. A cell phone provider charges Felicia $50 per month for her plan plus $0.05 per minute of long-distance calls. Which graph correctly shows the number of long-distance minutes Felicia can use this month?
Answer:
.05x+50=55
100 minutes
Step-by-step explanation:
simplify
.05x=5 (subtract 50 on both sides)
5/.05=x
100=x
she can call for 100 minutes
PLS HELP!!! WILL GIVE BRAINLIEST
Answer:
10/5 - 4
Step-by-step explanation:
you have to write down what you understand from the sentence.
First, you read it carefully since it says quotient then you will have to put that first and then subtraction. Normally you would put subtraction in front because the sentence is in that order. But since your dealing with division then the subtraction part would go afer.
10/5 - 4
Answer: uhh i think both are correct since the order of operation states that you must do division over subtraction first, it doesn't matter which position 4 is in, but you must do the division first.
HELP!
Problem:
Dan is cutting 4.75 foot lengths of twine from a 240 foot spool of twine. He needs to cut 42 lengths and says that 40.5 feet of twine will remain. Show that this is reasonable.
Answer:
4.75 is about -5(40) =-200, and 340-200=40
Step-by-step explanation:
Which postulate proves these two
triangles are congruent?
A. HL
B. SSA
C. ASA
D. SAS
PLEASE SOMEONE HELP ME OUT THIS IS URGENT PLEASE AND THANK YOU! ):
Answer:
for the first line let (-4,-3) be (x1,y1) and (8,0) be x2,y2.
now,
slope (m1) = (y2-y1)/ (x2-x1)
or, m1= 0-(-3)/ 8-(-4)
or, m1=3/12=1/4
again, for line two consider (0,2) as x1,y1 and (-1,6) be (x2,y2)
apply the same formula and find the slope(m2)
m2=6-2/-1-0
or, m2=4/-1
for b) m1 multiply m2
or 1/4 x 4/-1
=-1 so it is perpendicular
Step-by-step explanation:
for a we simply apply the formula of slope considering the given points as x1,y1 and x2,y2 respectively.
while for the b number if m1 x m2 =-1 the line is considered to be perpendicular.
similarly, if m1=m2 then it is considered to be parallel.
here m1 is slope of the first line, m2 is slope of second line and m3 is the slope of the third line
Which of these is a ratio equivalent to 3/2?
A. 6/4
B. 3/4
C. 5/2
D. 5/2
Answer:
A
Hope I helped
You flip a coin four times. “Heads” is called a success. possible outcomes are shown in the tree diagram. What is the probability of the coin landing heads up exactly twice out of the four flips?
Answer:
6/16
Step-by-step explanation:
there are 6 chances for it to be a double success out of a total 16 tries
regression and data analysis
Answer:..
Step-by-step explanation:..
please some one helppppp!!!!!!!!!!!!!!
Answer:
22.49Step-by-step explanation:
(4.83)² × 6√0.276 / 3.27 =
23.3289 × 6(0.5254) / 3.27 = (rounded)
22.49 (rounded)
Which graph represents the solution set of the compound inequality -43x-1 and 2x+43 18?
;+
-10
-5
0
10
-10
-5
0
5
10
-10
10
о
-10
0
5
10
Answer:
Step-by-step explanation:
YOU CAN DO THIS :)
Question 1-2
1
Tom walks 1 mile in
of an hour. Kyle walks 4 miles in
4
of an hour.
5
Who walks at a faster speed, Kyle, Tom, or neither?
Answer:
460 feet
Step-by-step explanation:
What percent is 30 out of 75?
Answer:
40%
Step-by-step explanation:
PLEDE HELP ME EMERGENCYYYYYY
Answer:
1) drinks = $10
2) food = $25
3) total = 7 parts
Step-by-step explanation:
1) 2×5=10
2) 5×5=25
3) 2part+5part=10part
Step-by-step explanation:
the other answer can be a bit confusing.
and the last sentence there is wrong. it should be 2 parts plus 5 parts is 7 parts.
anyway, in questions like this you need to first clarify : how many parts are being used as the whole.
think of it like a cake or a pizza. one friend will eat 2 slices, another will eat 3 slices, and you want only one. then into how many slices do you have to cut the pizza, if there should be no pizza left ?
so, in our case here, the drinks get 2 "slices" of the whole pizza of $35. and food gets 5 "slices". and together they have now the whole pizza.
so the whole pizza was cut into 2+5 = 7 slices.
now we need to spread the whole $35 "pizza" evenly on its 7 slices (or parts).
remember : we use division for that.
35/7 = $5
so, one slice (or part) of the whole $35 is $5.
since drinks get 2 slices (or parts), this is then 5+5 or 5×2 = $10
and food gets 5 slices (or parts). this is then 5+5+5+5+5 or 5×5 = $25
and to verify : $10 + $25 = $35. so, yes, we did not make any mistake. the sum is indeed the total of $35.
help pls ill give you brainliest :))
Answer:
D) 14.2
Step-by-step explanation:
please guys help me qith this i will brainlist u i promise
write the standard form of the given number words
1.three million,eighty-five thousand three
2.one hundred fourteen million,seven hundred twenty-six.
3.seven million ninety-eight thousand
4.eight hundred eighty-two thousand,one hundred eight
5.five hundred million,six thousand,seven hundred nineteen.
Answer:
1. 3,085,003
2. 114,000,726
3. 7,098,000
4. 882,108
5. 500,006,719
Step-by-step explanation:
#Help plz
#No spam -_-||
#Quality answer needed
Please find attached photograph for your answer.
Hope it helps.
Do comment if you have any query.
What is the sum of all the values of m that satisfies [tex]4mx^{2} −2m-6=0[/tex]
Answer:
The sum of the solutions = 1/2
Step-by-step explanation:
4m^2 - 2m - 6 = 0
Factor out 2
2( 2m^2 -m-3) =0
2 ( 2m-3)(m+1) =0
Using the zero product property
2m-3 =0 m+1 =0
2m =3 m=-1
m = 3/2 m=-1
Adding the solutions
3/2 -1
+3/2 -2/2
1/2
9514 1404 393
Answer:
1/2
Step-by-step explanation:
A quadratic equations that has solutions p and q can be factored as ...
(x -p)(x -q) = 0
When this is expanded, it becomes ...
x^2 -(p+q)x +pq = 0
That is, the opposite of the x-coefficient is the sum of the solutions.
__
We can put your quadratic into this form by dividing by the leading coefficient, 4.
(1/4)(4m^2 -2m -6) = 0
m^2 -1/2m -3/2 = 0
The coefficient of the linear term is -1/2. This tells us the sum of the solutions is -(-1/2) = 1/2.
The perimeter of an equalateral triangle is 17cm less than the perimeter of a rectangle. The length of one side of the triangle is 5cm. Construct an equation for the perimeter of tge rectangle
Answer:
P=5x3+17 P=32
Step-by-step explanation:
PLZ HELP!!!!
Use the function f(x)=x^2+4x-5 and the coordinate plane. SHOW ALL WORK FOR EACH PART!
What are the values of a, b, and c? (3pts)
Does the parabola open up or down? How do you know? (2pts)
What is the maximum or minimum value? How do you know? (2pts)
What are the x-intercepts? (2pts)
What is the y-intercept? (1pt)
What is the vertex? (2pt)
9514 1404 393
Answer:
a) a=1, b=4, c=-5
b) opens up; a > 0
c) minimum = -9, the y-value of the vertex
d) x = -5, 1
e) y = -5, the value of c
f) (-2, -9)
Step-by-step explanation:
A graph drawn by a graphing calculator can answer all of these questions quickly and easily.
__
a) The values of 'a', 'b', and 'c' are the values of the coefficients of the terms in the function definition. They refer to the coefficients in the standard form:
f(x) = ax^2 +bx +c
f(x) = x^2 +4x -5 . . . . . . . your equation with a=1, b=4, c=-5
__
b) The parabola opens up. This is because the value of 'a' is greater than zero.
__
c) The minimum is the y-value of the vertex. When the function is written in vertex form it is ...
f(x) = (x -h)^2 +k . . . . . . . . . . . vertex (h, k)
Your function can be put into this form:
f(x) = x^2 + 4x +4 -5 -4 . . . . . . add and subtract 4 to complete the square
f(x) = (x +2)^2 -9 . . . . . . . . vertex form. The vertex is (-2, -9).
The y-value of the vertex is -9, the minimum value of the function.
__
d) Solving f(x) = 0, you get ...
(x +2)^2 -9 = 0
(x +2)^2 = 9 . . . . . . . . add 9
x +2 = ±√9 = ±3 . . . . . take the square root; next, subtract 2
x = -2 ±3 = {-5, 1} . . . . . the x-intercepts
__
e) The y-intercept is f(0) = c = -5.
__
f) The vertex was found in part (c) to be (-2, -9).
