Answer:
[tex]\boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]
[tex]\boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]
Step-by-step explanation:
[tex]\sf 6a^2 + 10 = 0[/tex]
We'll solve this equation using The Quadratic Formula:
[tex]\boxed{\sf \frac{-b\pm \sqrt{b^2-4ac} }{2a} }[/tex]
[tex]\sf 6a^2 + 10 = 0[/tex]
Substitute 6: a, 0: b, 10: c
[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{0^2-4\times 6\times 10} }{2\times 6}[/tex]
→ Square 0
→ Multiply -4 * 6= -24
→ Multiply -24 * 10 = -240
[tex]\longmapsto\sf a=\cfrac{0\pm\sqrt{-240} }{2\times 6}[/tex]
→ Take the square root of -240:
→ Multiply 2 * 6= 12
Now, Separate solutions:
[tex]\longmapsto\sf a=\cfrac{0\pm 4\sqrt{15i} }{12}[/tex]
Now, Separate solutions:
First, solve the equation when ± is plus:
[tex]\longmapsto \boxed{\sf a=\cfrac{\sqrt{15i} }{3}}[/tex]
___
Now, solve it when ± is minus:
[tex]\longmapsto \boxed{\sf a=-\cfrac{\sqrt{15i} }{3}}[/tex]
__________________________________________
[tex]\sf\longmapsto 6a^2+10=0[/tex]
a=6b=0c=10[tex]\sf\longmapsto a=\dfrac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex](This a is root of equation)
[tex]\sf\longmapsto a=\dfrac{-0\pm\sqrt{0^2-4(6)(10)}}{2(6)}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{-240}}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm\sqrt{240}i}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm 4√15i}{12}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm √15i}{3}[/tex]
[tex]\sf\longmapsto a=\dfrac{\pm √3√5i}{3}[/tex]
[tex]\sf\longmapsto a=\pm\dfrac{√5i}{\sqrt{3}}[/tex]
[tex]\sf\longmapsto a=\pm\sqrt{\dfrac{5}{3}}i [/tex]
What is i?i stands for iota.
[tex]\sf\longmapsto i=\sqrt{-1}[/tex]
Given f(x)=5x-3, find f(-3)
Answer:
[tex]f(-3)=-18[/tex]
Step-by-step explanation:
Since
[tex]f(x)=5x-3[/tex], we can plug in our values
[tex]f(-3)=-15-3[/tex]
Combine like terms
[tex]f(-3)=-18[/tex]
solve the Simultaneous equations : x+y=5; x-y=1
Answer:
x=3 and y=2
Step-by-step explanation:
These equations line up quite nicely, so let's use the elimination method.
x+y=5
+ x-y=1
-------------
2x=6.
Now that we added the two equations together, we only have x as a variable to solve. We now divide 2 from both sides
x=3.
Now we take our 3 and substitute it into one of the equations. I want to put it in the first one.
3+y=5.
We subtract 3 from both sides to get y=2.
We end up with the answers x=3 and y=2. If you plug them in to check, they make sense. 3+2=5 and 3-2=1. This answer is proven to be correct.
Have a nice day :)
find the value of x that makes A||B <2= 2x+10 <4=4x+80
Answer:
2
Step-by-step explanation:
this is the correct answer
Find m<1 and m<2
Help
Answer:
m<1 = 45
m<2 = 135
Step-by-step explanation:
135 is across from the 135 making m1 135 and 135 plus 45 equals 180, 180 is the total for the line the other 2 angles are on.
can someone help me with this problem?
Answer:
B) f^-1(x)=3-5x
Step-by-step explanation:
y=3-x/5
rearrange the equation so you have x variable on the left side
5y=3-x
+x +x
5y+x=3
-5y -5y
x=3-5y
so answer is b)
f^-1(x)=3-5x
Drwa the staright line y = 2x-3
Answer:
The equation y = 2x - 3 represents a line with a slope of positive 2, and a y-intercept of -3.
Hope it helps :)
Use the transitive property of equality to finish the equations
Answer:
since 4y=12 and 4y=2x then 4y=12=2x or 12=2x
Which of the following represents the set of possible rational roots for the
polynomial shown below?
2x3 + 5x2 – 8x – 20 = 0
The plus/minus of the following: 1/2, 1, 2, 5/2, 4, 5, 10, 20
========================================================
Explanation:
Refer to the rational root theorem. To find the possible rational roots, we divide the factors of the last term 20 over the factors of the first coefficient 2.
Factors of 20 are: 1,2,4,5,10,20Factors of 2 are: 1,2Dividing those said factors leads us to the list in choice D. We include the positive and negative versions of each result. For example, divide 10 over 2 to get 10/2 = 5 as one possible root (which leads to -5 as well).
A table like the one shown below might be handy to keep track of all the terms.
Answer:
DStep-by-step explanation:
Simplify the given equation by dividing all terms by 2:
x³ + 2.5x² - 4x - 10 = 0x²(x + 2.5) - 4(x + 2.5) = 0(x + 2.5)(x² - 4) = 0(x + 2.5)(x + 2)(x -2) = 0Roots are:
- 2.5, -2, 2Correct choice is D
what is 4 1/2 - 1
8/10= in Fractions
[tex]4\frac{1}{2} - 1\frac{8}{10} = \frac{9}{2}- \frac{9}{5} = \frac{27}{10}[/tex]
ok done. Thank to me :>
Answer:
4 1/2= 9/2
1 8/10= 18/10= 9/5
9/2-9/5=
(45-18) /10=
27/10 or 2 7/10
Step-by-step explanation:
There are 600 performers in a dance recital. The ratio of men to women is 4:6 many men performers were in the dance recital?
Answer:
240
Step-by-step explanation:
From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.
Fraction of men at the recital = 4/10
Fraction of women at the recital = 6/10
The number of men performers that were in the dance recital will be:
= 4/10 × 600
= 240 men
Answer: 240 men
Step-by-step explanation:
From the question, we are informed that there were 600 performers in a dance recital and that the ratio of men to women is 4:6.
Fraction of men at the recital = 4/10
Fraction of women at the recital = 6/10
The number of men performers that were in the dance recital will be:
= 4/10 × 600
= 240 men
Hope it helps
Find the x-intercept of y=1/2x-4
Answer:
X=1/2
Step-by-step explanation:
Y=mx+b
You kayak up a river at a rate of 28 feet every 30 seconds. You kayak 423 feet every 9 minutes on the way back down the river. How fast are you traveling up river? down river? (Be sure and change your seconds to minutes)
Up River:
ft:
min
Down River:
ft:
min
You traveled up the river at 56 feet a minute and down the river at 47 feet a minute.
The question is asking us to simply convert the speed traveled in feet per second to feet per minute. To do that, we say,
28 feet in 30 seconds, if we multiply both by two. We have 56 feet in 60 seconds. Also remember that 60 seconds make 1 minute. Thus, you must have kayaked up the river at 56 feet in a minute.
423 feet in 9 minutes, if we divide both by nine. We have 47 feet in a minute. This means that you kayaked 47 feet a minute down the river.
for more visit https://brainly.com/question/25552839
Mrs.bowlin Organise the markers and two sets of staff were nine markers in each is that how many sets of markers did Mrs. Bowlin create
Answer:
18 sets of markers
How many 7-letter passwords can you make from the letters A, B, C, D, E, F and G, if letters CANNOT be repeated?
If 8 km = 5 miles, convert 350 miles into km.
Answer:
560 is your answer... I hope it helps
PLS HELP ASAP ILL GIVE BRAINLKEST THANKS
Answer:
19
Step-by-step explanation:
Answer:
19
Step-by-step explanation:
12<=x-7. add 7 to both sides.
x>=19
y=-2x + 7
y = 5х – 7
Find the solution
Answer:
x = 2
Step-by-step explanation:
Given:
y = -2x + 7 y = 5х – 7If y = -2x + 7 and y = 5х – 7, then -2x + 7 = 5х – 7. Now, let's solve.
=> -2x + 7 = 5х – 7
=> 7x = 14
=> x = 2
Since we found 'x', let's find 'y' with the given clue using one equation among any of the two equations.
=> y = 5х – 7
=> y = 5(2) - 7
=> y = 10 - 7
=> y = 3
Hoped this helped.
Write the unit fraction depicted in the model as a percent.
One-fourth =
Answer:
Step-by-step explanation:
= 1/4*100
= 1*25
= 25%
• Answer is 25%.
please help mee!! For which value of x does f(x) = 2?
A) 2
B) 0
C) -4
D) None of the above.
Answer:
The slope is zero
Step-by-step explanation:
0 | 2
1 | 2
3 | 2
Please help if it's right I'll give brainliest
Answer:
Since XBC is 55 degrees and triangle BXC is isosolese, angle BCX is also 55 degrees. 180 - 110 = 70
so angle BXC is 70 degrees.
Please Help Will mark brainliest
Consider the hypotenuse of a right triangle with two legs that are two inches and one inch long, respectively. The length of the hypotenuse, in inches, is between which pair of the following fractions?
a 9/4 10/4
b 17/8 18/8
c 14/4 15/4
d ¼ ⅓
e ¾ 5/4
Answer:
b
Step-by-step explanation:
Pythagoras formula for the relation of the side lengths of a right-angled triangle :
c² = a² + b²
c is the Hypotenuse (the side opposite of the 90 degree angle). a and b are the "legs".
so, we have here
c² = 1² + 2² = 1 + 4 = 5
c = sqrt(5) = 2.236067977...
so, answer option c is too big (values bigger than 3).
answer options d and e are too small (values smaller than 2).
a
9/4 = 2.25
10/4 = 2.5
this is also too big .
that leaves us with b
17/8 = 2.125
18/8 = 9/4 = 2.25
that is correct
2. Draw 3 different polygons that have only 2 lines of symmetry
Answer:
Hello. The answer is : rectangle, rhombus
I cant think of a third one as yet.
The supermarket has 10 aisles. 1 of the aisles is empty. What percentage of the aisles are empty?
Write your answer using a percent sign (%).
Answer:
10%
Step-by-step explanation:
1 out of 10 isles is the same as doing 1 divided by 10, which gets 0.1. To make this a percentage you would multiply it by 100 to get 10%
-----------------------------------------------------------
Standard form / Slope intercept form
_____________1. 3x -y = 7
_____________2. y = 5x - 2
_____________3. 2x + y = -4
_____________4. y = - ¾ x + 1
_____________5. 4 x - y = -8
_____________6. y= -x + 9
_____________7. 3x + 6y = 12
_____________8.y = ⅔x + 5
-----------------------------------------------------------
Answer:
1.) y=3x-7
2.) 2=5x-y
3.) y=-4-2x
4.) 1=3/4x+y
5.) y=4x+8
6.) 9=3/4x+8
7.) 9=y+x
8.) y=-2/6x+2
9.) 5=-2/3x+y
Step-by-step explanation:
Standard form is Ax=By=C and Slope form is y-mx+b
for all of the equations fiqure out which is standard and which is slope, 3x-y=7 is standard and just switch it to slope ie:
3x-y=7
+7 -7
3x-7=y
then switch around so y is in the front and vice versa, also divde any y or C by negative 1 if the answer is negative or if there is a number in front of it like in 9, and 8
find the slope of the line that passes through the following points a(4, -14) b(6, 18)
Answer:
Slope=16
Step-by-step explanation:
The product of six minus a number and five equals 60÷2 which equation relates the sentence
Answer:
Step-by-step explanation:
you buy a pair of rollerblades on sale for $64.99. This is $4.98 less than the original price. If g represents the original price, what equation cannot be used to find the original price
g = 64.99 - 4.98
Step-by-step explanation:
If g is the original price then if you subtract the difference between the original price and the current price.
How to divide with decimals and fractions.
Answer:
Dividing Decimals
Step 1: Estimate the answer by rounding .
Step 2: If the divisor is not a whole number, then move the decimal place n places to the right to make it a whole number.
Step 3: Divide as usual.
Step 4: Put the decimal point in the quotient directly above where the decimal point now is in the dividend.
Step-by-step explanation:
Step 1. Turn the second fraction (the one you want to divide by) upside down
(this is now a reciprocal).
Step 2. Multiply the first fraction by that reciprocal
Step 3. Simplify the fraction (if needed)
SOMEONE PLEASE HELP I will give you brainliest it’s due in 11:59 pm TODAY!! Please
