Answer:
(a) [tex]x \leq 2.5[/tex]
(b) [tex]x \geq 2[/tex]
Step-by-step explanation:
Solving (a):
[tex]0.4x - 1 \leq 0[/tex]
Add 1 to both sides
[tex]0.4x - 1 + 1\leq 0 + 1[/tex]
[tex]0.4x \leq 1[/tex]
Solve for x
[tex]x \leq 1/0.4[/tex]
[tex]x \leq 2.5[/tex]
Solving (b):
[tex]2.3x \geq 4.6[/tex]
Solve for x
[tex]x \geq 4.6/2.3[/tex]
[tex]x \geq 2[/tex]
I need help ASAP please
Answer: x =168
Step-by-step explanation:I think it would be 80 plus 88 so its 168.
WILL GIVE BRAINLIEST! Determine the coordinates of the point on the straight line y=3x+1 that is equidistant from the origin and (−3, 4).
Answer:
[tex](\frac{17}{18}, \frac{23}{6})[/tex]
Step-by-step explanation:
D1 = [tex]\sqrt{(x+3)^2 + (y-4)^2}[/tex]
D2 = [tex]\sqrt{x^2 + y^2}[/tex]
Then set D1 = D2, and substitute in y = 3x+1
[tex]\sqrt{(x+3)^2 + (3x-3)^2}[/tex] = [tex]\sqrt{x^2 + (3x+1)^2}[/tex]
[tex]x^2 +6x +9 +9x^2 - 18x + 9 = x^2 + 9x^2 + 6x + 1[/tex]
[tex]18x = 17[/tex]
x = 17/18
Then to find y, substitute back in x for y = 3x + 1
[tex]y = \frac{17}{18} * 3 + 1[/tex]
y = 23/6
The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
Here,
The equation of straight line is y = 3x + 1
And, it is equidistant from the origin and (-3, 4)
We have to find the coordinates of the point on the straight line.
What is the distance between the two points?
The length of the line segment that connects the two given points, is called distance between two points.
Now,
Let the point (x, y) on the line y = 3x + 1.
Distance between the points (x, y) and (0, 0) is;
[tex]D = \sqrt{(x-0)^2+(y-0)^2}[/tex]
[tex]D = \sqrt{x^{2} +y^{2} }[/tex]
And, Distance between the points (x, y) and (-3, 4) is;
[tex]D = \sqrt{(x+3)^2+(y-4)^2}[/tex]
[tex]D = \sqrt{x^{2} +6x+9+9x^{2} -18x+9}[/tex]
Equating both distance we get;
[tex]\sqrt{x^{2} +6x+9+9x^{2} -18x+9} = \sqrt{x^{2} +y^{2} }\\\\ {x^{2} +6x+9+9x^{2} -18x+9} = x^{2} + y^{2} \\\\18x = 17\\\\x = \frac{17}{18}[/tex]
And, To find y put the value of x in y = 3x + 1, we get;
[tex]y = 3 * \frac{17}{18} + 1\\\\y = \frac{23}{6}[/tex]
Hence, The coordinates of the point on the straight line y = 3x + 1 is [tex](\frac{17}{18} ,\frac{23}{6} )[/tex].
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if the perimeter of a square is 8√2, find the area of the square
Answer:
Area=128
Step-by-step explanation:
p=8[tex]\sqrt{2}[/tex]
A=p^2
put value of p
A= (8[tex]\sqrt{2}[/tex])power2
A= (8^2* [tex]\sqrt{2}[/tex]^2)
A=64 * 2 (square root of 2 will be cancel by power 2)
A= 128
Solve: 2/x + 3/2x - 1/2 = 2/3
Answer:
Step-by-step explanation:
[tex]\frac{2}{x}+\frac{3}{2x}-\frac{1}{2}=\frac{2}{3}\\multiply ~by~6x\\12+9-3x=4x\\21=4x+3x\\7x=21\\x=21/7=3[/tex]
Add and write the result in the form a+bi. a. (4 + 2i) + (-6 - 7i)
Answer:
- 2 - 5i
Step-by-step explanation:
Given
(4 + 2i) + (- 6 - 7i) ← remove the parenthesis
= 4 + 2i - 6 - 7i ← collect like terms
= - 2 - 5i
what's pi means for a repeating decimal
1. 3x + y = 4
I need help I need to solve for y
Answer:
[tex]y=4-3x[/tex]
Step-by-step explanation:
[tex]3x+y=4[/tex]
Subtract 3x from both sides:
[tex]3x+y-3x=4-3x[/tex]
[tex]y=4-3x[/tex]
Answer:
its answer is
y=4-3x ok
are all composite numbers even
Answer:
No.
Step-by-step explanation:
A composite number has factors in addition to one and itself. The numbers 0 and 1 are neither prime nor composite. All even numbers are divisible by two and so all even numbers greater than two are composite numbers. All numbers that end in five are divisible by five. Therefore all numbers that end with five and are greater than five are composite numbers.
Please Help !! Show All Work !!
Answer:
1) (4,4) 2) (4,0) 3) (6,1)
Step-by-step explanation:
[tex](\frac{5+13}{2} )(\frac{7+1}{2} )\\(\frac{8}{2} )(\frac{8}{2} )\\(4,4)[/tex]
[tex](\frac{-3+7}{2} )(\frac{-3+3}{2} )\\(\frac{4}{2} )(\frac{0}{2} )\\(4,0)[/tex]
[tex]\frac{-5+x_2}{2} =1[/tex] multiply 1 by 2=2 then write[tex](+5)-5+x_2=1(+5)\\x_2 = 6[/tex]
[tex]\frac{3+y_2}{2} =2[/tex] multiply 2 by 2= 4 then write [tex](-3)3+y_2=4(-3)\\y_2=1[/tex]
Tell whether (-3, 3) is a solution of the system.
Answer:
the answer to that would be 0.
Step-by-step explanation:
You want to start a business selling lanyards to hang your mask from. You have $25 in your banking account to purchase the materials you would need to make them. After doing some research for the best deals it is going to cost you $45 to make 10 lanyards (the minimum you can make).
Answer:
If the minimum is 10 and it costs $45 for that you would be going into the negatives as $25 is less then $45 meaning : You do not have enough money to purchase something that is $45. You would need $20 more dollars. If there was no minimum you would only be able to buy 4 with a few dollars left over.
-2.49 = -5 + x
I'm confused lol please help
Answer:
See Below
Step-by-step explanation:
Isolate x, so add 5 to each side
-2.49 = -5 + x
+5.00 +5
3.49 = x
Answer:
x= 251/100
=2.51
How: -2.49=-5+x
+5 =+5
2.51=x
∠A and \angle B∠B are complementary angles. If m\angle A=(x-21)^{\circ}∠A=(x−21) ∘ and m\angle B=(2x-15)^{\circ}∠B=(2x−15) ∘ , then find the measure of \angle A∠A.
Answer:
A = 21 degrees
Step-by-step explanation:
Here in this question, we are told to calculate the value of angle A.
When two angles are tagged complementary, what this means is that the addition of both angles gives a total of 90 degrees.
Hence;
A + B = 90
This means that;
(x-21) + (2x -15) = 90
x + 2x -21-15 = 90
3x -36 = 90
3x = 90+ 36
3x = 126
x = 126/3
x = 42
But we are told to calculate the measure of A
A = x -21
A = 42-21
A = 21 degrees
Answer:
21
Step-by-step explanation:
What graph is a function of x
Which square root has a value between 13.8 and 14.5
A.190
B. 200
C. 213
D. 220
Answer:
B: 200
Step-by-step explanation:
The sqr of 200 is equal to 14.14. when plugged into the perimeters 13.8<x<14.5 , 14.14 satisfies the condition
The square root has a value between 13.8 and 14.5 is 200.
Option (B) is correct.
What is square root?A factor of a number that, when multiplied by itself, gives the original number. The square root of any number can be expressed using the formula: √y = y½.
Given:
The square root has a value between 13.8 and 14.5.
We have to find the square root has a value between 13.8 and 14.5.
According to given question we have
[tex]13.8 ^{2} =190.44\\\\14.5^{2} =210.25\\[/tex]
So, the square root has a value between 13.8 and 14.5 is 200.
when plugged into the perimeters 13.8<x<14.5.
Therefore, the square root has a value between 13.8 and 14.5 is 200.
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please help ASAP i don’t understand this !!
Answer:
f(-7) = -3
Step-by-step explanation:
f(x) = ( x-2)/3
Let x = -7
f(x) = ( -7-2)/3
= (-9)/3
= -3
a store is having a sale to celebrate Labor Day every item in the store is advertised as one-fourth off the original price if am item is marked with a sale price of $126 what would be the original price
Answer:
$168
Step-by-step explanation:
1. x - 1/4x = 126
2. multiply each side by 4
3. 4x - x = 504
4. 3x = 504
5. divide each side by 3
6. x = 168
find the midpoint of a line segment with the given endpoints.(8,-3) (-8,1)
Answer:
(0,-1)
Step-by-step explanation:
What is .33 converted to a fraction in simplest form
Answer: 33/100
Step-by-step explanation:
.33 is in the hundreths place, so the denominater would be 100. So, it would 33/100. You can't simplify it.
What is 6/11 as a decimal
Answer:
0.54
Step-by-step explanation:
6 divided by 11 is 0.54-non-terminating therefore we get 0.54
Answer:
0.5455
Step-by-step explanation:
Plz choose mine as brainliest
I don’t know know to do this... Someone please help
I’ve done this with single numbers before, but not with the equations. I’m not sure how to navigate through the problem with all of the equations and numbers....
Answer:D
Step-by-step explanation:
sams collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binders has 36 pages how many baseball cards has Sam collected
Answer:
1,296
Step-by-step explanation:
36 pages x 6 cards a page = 216 cards per binder
216 cards x 6 binders = 1296
The number of baseball cards Sam collected will be 1,296.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Given that sam collects baseball cards he has 6 binders full of cards each page in the binder holds six cards and each binder has 36 pages.
The number of cards will be calculated as:-
36 pages x 6 cards a page = 216 cards per binder
216 cards x 6 binders = 1296
Hence, the number of cards will be 1,296.
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solve for 2(5y-1)=28
answer: x=3
you divide both side by 2
PLEASE HELP MEEEE I WANT TO CRY BECAUSE IM SO CONFUSED :( ILL GIVE YOU A BRAINLIEST ANSWER! (PLEASE DONT JUST TYPE A RANDOM ANSWER)
The parent equation would be y=x^2 because that is the parent equation of a quadratic function. ;)
What is (2a^3 b^4 c^3)^2 • (4a^2 bc^3)
Answer:16 a 8 9 c 9
Step-by-step explanation:
Torque is described as T = r * F, where r = radius which is measured in feet from the fulcrum point and F = Force which is measured in pounds. What is a possible unit measure for Torque?
Answer:
(pound-feet)
Step-by-step explanation:
Given that:
Torque = r × F
Where ; r = radius in feet ; F = force in pounds
Hence, a possible unit measure of torque using the units provided for both force and Radius will be :
r (feet) × F (pounds) = Torque (pound-feet)
Hence, the possible unit of measure of torque = (pound-feet)
Other unit measure may be :
r (metres) × F(Newton) = Torque (newton-metre)
What IS the solution to 1−(13q−5)=−6
Answer:
q = 12/13
Step-by-step explanation:
Step 1: Write equation
1 - (13q - 5) = -6
Step 2: Solve for q
Distribute -1: 1 - 13q + 5 = -6
Combine like terms: 6 - 13q = -6
Subtract 6 on both sides: -13q = -12
Divide both sides by -13: q = 12/13
Can you help me with this one ?
Answer:
y = 2x-3
Step-by-step explanation:
We can use those 2 points given to solve for the slope (m) and for the y-intercept (b) in the equation y = mx+b
Slope:
(3,3) and (4,5)
m = [tex]\frac{y2-y1}{x2-x1}[/tex]
m = [tex]\frac{5-3}{4-3}[/tex]
m = 2
Y-intercept:
y = 2x+b
3 = 2(3) +b
3 = 6+b
b = -3
equation: y = 2x-3
Choose te correct symbol
Answer:
<
Step-by-step explanation:
Help me please thank