Using squares of integers numbers, it is found that the solution of the equation is located between the integers x = 1 and x = 2.
The equation given is:
[tex]x^2 = 3[/tex]
The solution of the equation given is:
[tex]x = \sqrt{3}[/tex]
The squares of the integers numbers until the square root of 3 are:
[tex]1^2 = 1[/tex]
[tex]2^2 = 4[/tex]
Since [tex]1 < 3 < 4[/tex], the square root of 3, which is the solution to the equation, is located between the integers x = 1 and x = 2.
A similar problem is given at https://brainly.com/question/3729492
expand and simplify in its simplest form (x+7)(x-2)
Answer:
[tex](x + 7) - (x - 2)[/tex]
x²-2x+7x-14
Answer:
x2+5x-14
Step-by-step explanation:
5) You roll a fair six-sided die twice. The
first roll shows a one and the second roll
shows a three.independent or dependent?
Answer:
Happy Chrismas My friend.
help pleaseeeeeeeeeeeeeeeeeeee
Answer:
Step-by-step explanation:
ford would be 250 in metres and the decimal would be the smallest
jerry, Simon, curst, carl, ford
ANGLES OF A TRIANGLE SOMEONE ANSWER ASAP PLS ! );
Answer:
∠K = 123°
∠L = 97°
∠O = 83°
∠N = 40°
Step-by-step explanation:
∠K and ∡57° are Supplementary, so their sum is equal to 180°
180 - 57 = 123
∠K = 123°
∠N and ∡140° are also Supplementary
180 - 140 = 40
∠N = 40°
The area of a triangle is equal to 180 when all angles are added together
40 + 57 = 97
180 - 97 = 83
∠O = 83°
∠L is an outside angle, which is equal to the sum of the 2 further angles (in this case ∡57° and ∠N) which we found was 97° when solving for ∠O
∠L = 97°
Now to check ∠K we add ∠O and ∠N
83 + 40 = 123
Now we also check ∠O with ∡140°
140 - 57 = 83
So all of the angles check out correctly
(8+ 4)divided by 2 - 3
Answer:
3
Step-by-step explanation:
(8 + 4) / 2 - 3
12 / 2 -3
6 - 3
3
Answer:
3
Step-by-step explanation:
You do the parenthesis first (8+4)
Then you divide 12 by 2 if you are following Pemdas
6 - 3 = 3
Hope this helped!
The volume of a box is given by V=3x^3 + 33x^2 + 84x. Determine expressions for a possible set of dimensions for this box.
Answer:
(-7,0) (-4,0)(0,0)
Step-by-step explanation:
[tex]\sf 2x+21=3[/tex]
Free
[tex] \sf \longmapsto \: 2x + 21 = 3[/tex]
[tex]\sf \longmapsto2x = 3 - 21[/tex]
[tex]\sf \longmapsto2x = - 18[/tex]
[tex]\sf \longmapsto \: x = \frac{ - 18}{2} [/tex]
[tex]\sf \longmapsto x = - 9[/tex]
Answer:
[tex]\bf x=-9[/tex]
Step-by-step explanation:
[tex]\sf 2x+21=3[/tex]
Subtract 21 from both sides:-
[tex]\sf 2x+21-21=3-21[/tex]
Simplify
[tex]\sf 2x=-18[/tex]
Divide both sides by 2:-
[tex]\sf \cfrac{2x}{2}=\cfrac{-18}{2}[/tex]
[tex]\sf x=-9[/tex]
Solve for the value of t (photo)
A train left the station. It traveled 30 miles and dropped off passengers. Then it turned around and traveled 15 miles. Write an integer that shows how far it is from the station.
pls help asap MIDSEGMENTS
Answer:
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Please help! WILL MARK BRAINLIEST
Answer:
2nd option is correct
.........................
Answer:
1 1/9 ft^3
Step-by-step explanation:
5/3*1*2/3=10/9*1=10/9
10/9=1 1/9
A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases. Graph g when g(0)=-3 . Identify the slope, y-intercept, and x-intercept of the graph.
Answer:
The slope (m = rate of growth) for this function is 3/5. So, m= 3/5.
The y-intercept (b) for this function is located at (0,3). So, b=3.
Therefore, h(x) = 3/5x + 3
Step-by-step explanation:
Let the independent variable be x and dependent variable be y
y=h(x)
h is a linear function so it is represented in the general form of y=mx+c where
m is slope and c is the y-intercept.
Given "the dependent variable decreases 3 units for every 5 units the independent variable increases."
When x increases by 5, y decreases by 3
So the slope = rate of change of y / rate of change of x = -3/5
Given h(0)=3, h(0)=m(0)+c=3
c=3
Combining slope and y-intercept, y=-3/5*x+3
x-intercept is when y=0
0=-3/5*x+3
3/5*x=3
x=3*5/3=5
x-intercept=5
The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
What is Equation of line?
The equation of line in point-slope form passing through the points
(x₁ , y₁) and (x₂, y₂) with slope m is defined as;
⇒ y - y₁ = m (x - x₁)
Where, m = (y₂ - y₁) / (x₂ - x₁)
Given that;
A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
And, g(0) = - 3
Now,
Since, A linear function g models a relationship in which the dependent variable decreases 3 units for every 5 units the independent variable increases.
So, Slope = Rate of growth
= - 3 / 5
Thus, The slope of the linear function - 3/5.
Hence, The general form of equation of line is,
⇒ y = mx + c
⇒ g (x) = - 3/5x + c
Since, g (0) = - 3
⇒ g (0) = - 3/5 × 0 + c
⇒ - 3 = c
Thus, The y - intercept of the linear function - 3.
Hence, We get the general form of equation of line as;
⇒ g (x) = - 3/5x - 3
For x - intercept put g (x) = 0, we get;
⇒ 0 = - 3/5x - 3
⇒ - 3/5x = 3
⇒ x = - 5
Thus, The x - intercept of the linear function - 5.
Therefore, The slope of the linear function 3/5.
The y - intercept of the linear function - 3.
The x - intercept of the linear function - 5.
Learn more about the equation of line visit:
https://brainly.com/question/18831322
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if a man travels at an average speed of 122km per hour how far will he travel in 3 hours and 45 minutes
A car travels 60 miles per hour. What is the total distance the car will travel in 60 minutes?
Answer:
The car will drive 60 miles in 60 minutes (an hour)
Step-by-step explanation:
For every hour driven (60 minutes) the person will drive 60 miles, therefore it will travel a distance of 60 miles in 60 minutes
need help asap MIDSEGMENTS
will give BRAINLIEST
Answer:
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the first term of an AP is 2,and the last term is 59.if the sum of the first terms is 610,Find the common difference
Answer:
d = 3
Step-by-step explanation:
The sum to n terms of an AP is
[tex]S_{n}[/tex] = [tex]\frac{n}{2}[/tex] ( a + l)
where a is the first term and l the last term
Here a = 2, l = 59 and sum = 610 , then
[tex]\frac{n}{2}[/tex] (2 + 59) = 610
[tex]\frac{n}{2}[/tex] × 61 = 610 ( divide both sides by 61 )
[tex]\frac{n}{2}[/tex] = 10 ( multiply both sides by 2 to clear the fraction )
n = 20
Then the sequence has 20 terms with a₂₀ = 59
The nth term of an AP is
[tex]a_{n}[/tex] = a + (n - 1)d
where d is the common difference , then
2 + 19d = 59 ( subtract 2 from both sides )
19d = 57 ( divide both sides by 19 )
d = 3
Can someone please help me with this?
Obviously, Ali is correct. Khamis did a mistake, he forgot the negative sign of - 5, when he divided b. He should have let - 5b and divided it by - 5 like ali did.
Good Luck
Alexander earns 12% commission each week. Last week, he sold $6,400 worth of stocks. How much did he make last week in commission? If he averages that same amount each week, how much did make in commission in 2011?
Answer:
Commission = $768
Total amount commission in 2011 = $41,472
Step-by-step explanation:
Commission = Sales × 12% of sales
Commission = $6,400 × .12
Commission = $768
Number of weeks in a year = 52 weeks
Total amount commission in 2011 = Commission per month × Number of
weeks in a year
Total amount commission in 2011 = $768 × 52
Total amount commission in 2011 = $41,472
Please help me :)
HIGGJFFJH
Answer:
128/512 or 1/4
Step-by-step explanation:
(2 x 2 x 2 x 2) x (2 x 2 x 2)= 16 x 8 = 128
-------------------------------------------------
(2 x 2 x 2 x 2 x 2) x (2 x 2 x 2 x 2)= 32 x 16 = 512
solve the equation.
[tex]\sqrt{x(x+2)} = 0[/tex]
[tex]\sqrt{x(x+2)} = 0 <=> x(x+2)=0\\<=> x=0 /or/ x+2=0 <=> x=0 /or/ x=-2[/tex]
ok done. Thank to me :>
645 plus 763 to the nearest hundredth
Answer:
1408
What you have to do is 645 + 763 = 1408 that's how you doing I think so and sorry if I did it wrong
What is the slope of the line?
Answer:
thanks
Step-by-step explanation:
Water drains from a 60 gallon bath tub at a constant rate. It empties in 5
minutes. What is the rate?
Help me pls
Answer:
-12 gal / min
Step-by-step explanation:
-60/5=-12
how do you tell between a linear and non-linear function?
Answer:
linear functions have no exponents higher than 1, and a graph that looks like a straight line. non-linear functions have at least one exponent higher than 1, and a graph that isn't a straight line.
Step-by-step explanation:
Find the slope of the graph
a. -2
b. -1/2
c. 2
d. 1/2
I'll give correct answer brainliest
Answer:
answer is d
by using rise over run you get 3/6 which is then simplified into 1/2
Just this one question please There is no more. NO BOTS PLEASEE
Some artists look for ways to extend copyright for longer than the laws normally allow. Why do they do this?
Answer:
So that other people cannot use their music without the artists permission and usually payment.
Step-by-step explanation:
I'm not sure but this is my best answer!
Find the missing value given the points and slope.
(9,7) and (x,4)
m=3/7
Answer:
Step-by-step explanation:
Equation -5+2 = -3 5+(-2) = 3 2+(-5)=-3 -3+5=2
Answer:
false
Step-by-step explanation
:
How to factor using grouping.
Step-by-step explanation:
step 1:-group the first two terms together and then the last terms together.
step 2:-factor out a GCF from each separate binomial.
step3:-factor out the binomial
4) Mason paid $54 for 9 lbs. of steak, and
Isabella paid $72 for 6 lbs. Which person
paid a greater ratio of dollars/lbs. of steak?
Answer:
Isabella paid more.
Step-by-step explanation:
$72/6 = $12.67
She paid twelve dollars for 1 lb of steak while Mason paid 6 dollars for 1 lb.
Answer:
Isabella has a greater ratio of dollars/lbs
Step-by-step explanation:
Mason paid $6/1 lb
Isabella paid $12/1 lb
Hope this helps!