Solve the equation 3x^2 - 2x - 10 = 0 . Show all your working and give your answers correct to 2 decimal places.
Answer:
[tex]x=-1.52,2.19[/tex]
Step-by-step explanation:
Hi there!
[tex]3x^2 - 2x - 10 = 0[/tex]
Use the quadratic formula:
[tex]x=\displaystyle\frac{-b\pm\sqrt{b^2-4ac} }{2a}[/tex] in the form [tex]ax^2+bx+c=0[/tex]
Plug in the a, b and c values
[tex]x=\displaystyle\frac{-(-2)\pm\sqrt{(-2)^2-4(3)(-10)} }{2(3)}\\\\x=\displaystyle\frac{2\pm\sqrt{4+120} }{6}\\\\x=\displaystyle\frac{2\pm\sqrt{124} }{6}\\\\x=\displaystyle\frac{2\pm2\sqrt{31} }{6}\\\\x=\displaystyle\frac{1\pm\sqrt{31} }{3}\\\\x=-1.52,2.19[/tex]
I hope this helps!
Apply the distributive property to create an equivalent expression.
(3−8y)⋅(−2.5)=
Answer:
-7.5+20y
Step-by-step explanation:
To apply the distributive property, you have to distribute the multiplication of -2.5 to both 3 and -8y.
First, multiply 3 and -2.5 to get -7.5
Then, multiply -8y and -2.5 to get 20y.
Finally, add these values together
Please help me thank you
Answer:
sorry but i don't know the answer
The teachers had to transport 165 students by bus on a field trip. Each bus holds 64 students. How many buses do they need to order?
Answer:
B
Step-by-step explanation:
Divide the number of students by the capacity of each bus
. 165 / 64 = 2 (busses) + 37/64 (remainder)
165 students
each bus= 64 students
to find:how many buses they need to order in order to take 165 students.
solution:[tex] \frac{165}{64} [/tex]
[tex] = 2.578125[/tex]
[tex] = 2 \frac{37}{64} [/tex]
hence, the correct answer is option B.
6 of 15 motorist is what percent
Answer:
40%
Step-by-step explanation:
6/15 is the same as 2/5 which is .40 or 40%
Answer:
40%
Step-by-step explanation:
A mixture of green paint contains 9 pounds of blue paint and 12 pounds of yellow paint to make the same shade of green paint using 21 pounds of blue paint how much yellow paint would you need
Find the distance from the point A(2,−1) to the line y = −x+4. Round your answer to the nearest tenth.
Answer: um i think 300
Step-by-step explanation:
[tex]\left \{ {{y=2} \atop {x=2}} \right. x_{123}[/tex]
Answer:
if a joke i dont know
Please please help:(((((
I will give brainliest
Answer:
<AMC=75°Step-by-step explanation:
if <C=90 and <B = 30, then <A=60 (because <A+<B+<C=180, as ABC is a triangle)
if CM is a angle bisector then it divides <C in half, so <ACM=<MCB=45
since <ACM=45;
<A = 60;
then <AMC = 180-(45+60),
<AMC = 180-105,
<AMC = 75.
Please HeLp 100 PoInTs + bRaNlEyIsT
Answer:
It is congruent doe to the angle side angle congruence thereom AKA ASA
Step-by-step explanation:
That means there are two angles and one side in between. A pair of triangles that follow this rule has an angle that is congruent to one angle. Then a side that has a tick mark after the angle must match another. Then the last angle has to match another angle ( and it can't be the same angle as before). Usually the first pair angles have 1 semicircle and the second pair has 2 semicircles.
A recipe calls for 310 cup of sugar for every 5 cups of water. How many cups of sugar are needed for 25 cups of water?
Answer:
1550 cups
Step-by-step explanation:
multiply everything by 5
At this rate how many min. Does it take Ben to run 2 miles, swim 2 miles, and bike 2 miles
Solve one third plus seven ninths equals blank
Question 1 options:
ten twenty sevenths
eight ninths
ten ninths
nine thirds
Answer:
the answer is 10/9.
Step-by-step explanation:
Please give BRANIEST and 5 stars if correct!
Answer:
ten ninths
Step-by-step explanation:
"one third plus seven ninths" can be rewritten symbolically as
1/3 + 7/9 and we note that the LCD is 9. Thus,
1/3 + 7/9 = 3/9 + 7/9 = 10/9 (or "ten ninths")
ill give brainlist again! :( help?
Answer:
3769.91 cm³
Step-by-step explanation:
For Small Cylinder:
Volume = height × π × r²
Volume = 12 cm × π × 10² cm
Volume = 3769.91 cm³
For Large Cylinder:
Since the larger cylinder is double the size of the small cylinder we have to double the height and radius.
Volume = (height × 2) × π × (r × 2)²
Volume = (12 × 2) × π × (10 × 2)²
Volume = 24 cm × π × 20²
Volume = 30159.29 cm³
Answer:
Below.
Step-by-step explanation:
The volume of the smallest cylinder
= πr^2h
= π*10^2*12
= 1200π cm*3.
Now as the radius and height of the large cylinder are 2 times the radius and height of the small one
Volume of the large cylinder = 2^3 = 8 times the volume of the small one
= 8* 1200π
= 9600π cm^3.
The difference of one half a number x and 3 is 14
Answer:
x = 36
Step-by-step explanation:
You can write this equation to represent this problem:
[tex]\frac{1}{2}x-3=14[/tex]
Then, just solve for x:
[tex]\frac{1}{2}x=14+3\\\frac{1}{2}x=17\\x=36[/tex]
The equation Y-5 = 6(x+1) is written in point-slope form. What is the equation written in slope-intercept form?
O y = 6x + 11
O y = 6x - 1
O y = 6x - 4
O y = 6x + 6.
Answer:
Option A: y = 6x + 11
Step-by-step explanation:
Given the linear equation in point-slope form, y - 5 = 6(x + 1), and that we must determine its equivalent slope-intercept form, y = mx + b:
First, we must distribute 6 into the parenthesis on the right-hand side of the equation:
y - 5 = 6(x + 1)
y - 5 = 6x + 6
Lastly, we must add 5 to both sides of the equation to isolate y:
y - 5 + 5 = 6x + 6 + 5
y = 6x + 11
Therefore, the slope-intercept form is: y = 6x + 11, which matches Option A.
What is the measure of ABC
Answer:
60°
Step-by-step explanation:
the degrees of a triangle equal up to 180° so 60 + 60 = 120, 180 - 120 = 60
at the mud factory, people's job is to scoop up mud and make it into kilogram blocks of mud. She loves her job today there were 2,913 milligams of mud trucked in. Each mud block is precisely 1 kilogram, no less no more. How many mud blocks can she make today
Answer: 0 bricks
Step-by-step explanation:
2,913 milligrams (mg) is only 2.913 grams. It takes 1,000 grams to make a kilogram. 2,913 mg is only 0.002913 kg.
9 4/5÷3 1/2 as a fraction
Answer:
14/5
Step-by-step explanation:
Answer:
2 4/5
Step-by-step explanation:
9 4/5÷3 1/2
Change mixed fractions into improper fractions.
9 4/5=49/5
3 1/2=7/2
Keep Change Flip
49/5 x 2/7 =14/5
=2 4/5
Hope this helps :)
what is the hcf of 18 27 and 81 by prime factorization
Answer:
9
Step-by-step explanation:
It's been a while since i've dealt with prime factors hopefully this is correct.
A building casts a shadow that is 420 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 24 meters long. How tall is the building?
The building is meters tall.
Answer: The building is 35 meters tall.
Step-by-step explanation:
420 divided by 24 is 17.5
17.5 x 2 is 35
(im multiplying by two because it says that a person who is 2 meters tall casts a shadow that is 24 meters long. ***)
Kiley had a piece of bamboo skewer that measured 14 Three-fifths inches long. She wanted to cut it into toothpicks that were each 3 One-fifth inches long. How many toothpicks can she make?
8/10……………………………………………………
Answer:
|3x+4| +6
Step-by-step explanation:
f(x) = |3x+4| +2
g(x) =4
f(x) + g(x) = |3x+4| +2 +4
= |3x+4| +6
What is 93x43 please show your work.
Answer:
The answer is 3,999
Step-by-step explanation:
93 x 43 = 3,999
brainliest :)
Please help me answer thi question
Answer:
slope = 0
Step-by-step explanation:
Calculate the slope m using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (2, 3 ) and (x₂, y₂ ) = (5, 3 )
m = [tex]\frac{3-3}{5-2}[/tex] = [tex]\frac{0}{3}[/tex] = 0
How to do question 10 a?
Answer:
23 hgrghhgfggggggghhhhh
Answer:
I looked at all those numbers and they all say d=0
Step-by-step explanation:
an online music store sells 15 songs for $12. Another online music store sells 10 songs for $9. Which online store has the lower cost per song?
Answer:
The second store (10 songs for $9)
Step-by-step explanation:
15 songs/$12 = $1.25 per song
10 songs/$9 = $1.11 per song
Answer:
second
Step-by-step explanation:
second bc if you cross multiply 135>120
Explain why 15 +1/2n
is an algebraic
expression.
Answer:
Because there is a variable and no equal sign
Step-by-step explanation:
I need help!!
If any boady could tell me the awnswer that would be great
Answer:
1/4 and 3/8 = 2/8 and 3/8
1/4 and 1/2 = 1/4 and 2/4
2/16 ad 3/8 = 2/16 and 6/16
1/4 and 2/16 = 4/16 and 2/16
1/2 and 3/8 = 4/8 and 3/8
Step-by-step explanation:
Answer:
The first box goes with the third bottom box. The second box goes with the 5th bottom box. The third box goes with the first bottom box. The fourth box goes with the fourth bottom box. Lastly the 5th box goes with the second bottom box.
Hope this helps
1) 9 × 0 + (-80) + 8 = ?
9 × 0 + (-80) + 8 = ?
= 0 - 80 + 8
= -80 + 8 <==> 8 - 80
= -72
~bilbul
9 × 0 + (-80) + 8
= 0 + (-80) + 8
= (-80) + 8
= -72 ✔️
:)