Answer:
x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21
Step-by-step explanation:
Let's solve your equation step-by-step.
4(x+5)^2=21
Step 1: Simplify both sides of the equation.
4x^2+40x+100=21
Step 2: Subtract 21 from both sides.
4x^2+40x+100−21 =21−21 4x^2+40x+79=0
For this equation: a=4, b=40, c=79
4x^2+40x+79=0
Step 3: Use quadratic formula with a=4, b=40, c=79.
x= −b±√ b^2−4ac/2ax
= −(40)+√ (40)^2−4(4)(79)/2(4)
x = 40^2±√ 336/8
x= −5+1/2 √ 21 or x = −5+ − 1/2√ 21
Answer: x = − 5 + 1/2 √ 21 or x = − 5 + − 1/2 √ 21
( I hope this was helpful) >;D
Tony Stark earns 8% commission for every repulsor he sells. How much commission would Mr. Stark make on sales of $32,000,000?
Gina wants to go to the water park with her friends. They have a total of w dollars to buy 5 tickets. Each ticket costs 15 dollars. (write an equation)
Answer:
5 * w = 15
w= 3
Hope this helps!
Answer:
5•15=w
(Is this subtracting from the total?)
was there more to this question that you didn’t include?
I need help on this right now please help ASAP!!!
Answer:
C would be your answer
Step-by-step explanation:
Answer the following question
Step-by-step explanation:
the answer is 4.8 hope it helps
find the solutions for w
I need help and show work
18. State the slope and y-intercept of each linear equations.
a. 6(x + y) = 3(x - y)
b. 2(x + y) = 5(y + 1)
c. 5x + 10y - 20 = 0
Answer:
a. The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
b. The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
c. The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Step-by-step explanation:
The easiest way to find the slope and y-intercept is to put each equation in the slope-intercept form
That is:
y = mx = c
where m is the slope and c is the y-intercept
Part a:
6(x+y) = 3(x-y)
2(x+y) = x-y
2x + 2y = x - y
3y = -x
[tex]y = \frac{-1}{3}x[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{3}[/tex] and the y-intercept is 0
Part b:
2(x+y) = 5(y+1)
2x + 2y = 5y + 5
3y = 2x - 5
[tex]y = \frac{2}{3}x - \frac{5}{3}[/tex]
Comparing this with general formula, we can conclude that:
The slope is [tex]\frac{2}{3}[/tex] and the y-intercept is [tex]-\frac{5}{3}[/tex]
Part c:
5x + 10y -20 = 0
10y = -5x + 20
[tex]y = \frac{-1}{2} x+2[/tex]
Comparing this with the general formula, we can conclude that:
The slope is [tex]\frac{-1}{2}[/tex] and the y-intercept is 2
Hope this helps :)
(PLEASE HELP THIS IS A TEST) there are 216 students going on a field trip. Some are in vans in others are in buses. There are a total of seven vehicles. Each van holds 12 students and each bus holds 45 students. How many buses and vans will be needed for the trip
Answer:
4 buses and 3 vans
Step-by-step explanation:
45 students in 4 buses = 180
12 students in 3 vans = 36
180 + 36 = 216.
helpp pleaseee asap!!
Answer:
30 and 5 left over
Step-by-step explanation:
185/6=30.83333333
30x6=180
185-180=5 left
CAN YOU SEE THIS AND IF SO IS IT THE RIGHT ANSWER? REWARD BRAINLIEST
Answer: A I think
Step-by-step explanation:
Answer: LOL its D
Step-by-step explanation:
Write an equation of the line from the table
Answer:
y=x+6
Step-by-step explanation:
x to y is always add 6.
This is why the equation is y=x+6
Hope this helps :)
please help me with this I will give you brainliest
Answer:
no it is not
Step-by-step explanation:
Let's use the Pythagorean theorem for this
a^2+b^2=c^2
60^2+63^2=88^2
3600+3969=7744
7569≠7744
This means that this triangle isn't a right triangle
22) area = 78.5 ft2
find diameter
Answer:
31.42 cm approx.
Step-by-step explanation:
it is what it is...
1) If CB= 13; BF= 9; EF=7; Then DE=?
Round to the Hundredths.
(Hint: (whole secant)(external part) = (whole secant)(external part)
FIND DE=?
SHOW ALL WORK!!
HURRY I NEED IT FAST!!
WILL MARK BRAINLIEST!!
Answer:
if CB is 13 and BF is 9 than 13+9=22.So DF must be 22 too. If EF is 7 than 22-7=15 and DE is 15
Answer:
4
Step-by-step explanation:
Find the value of x please
Answer:
x=54
Step-by-step explanation:
55+54= 109
180-109=71
x+17=71
=54
can someone plsss help me
Answer:
The equation for charge is = current x times
Okay, so Grayson only has 6 hours to read 240 pages before school tomorrow. If he reads at a constant speed of 35 pages per hour, will he have enough time to finish his reading homework before school? why or why not? Explain
Answer:
NO:For him to finish within 6hrs he need to read 40 pages per hour,but if he read 35 pages per hour,after 6 hrs he will be less 30 pages.
The radius of a circle is increased by 3 in., which increases the area by 100 in. Find the radius of the original circle. Round to the nearest hundredth.
Answer:
3.81 inches
Step-by-step explanation:
πr² + 100 = π(r+3)²
divide by π and simplify:
r² + (100/π) = r² + 6r + 9
100/π = r² + 6r + 9
31.8309886184 - 9 = r² +6r
r² = 6r - 22.8309886184
0 = 6r - 22.8309886184
22.8309886184 = 6r
divide by 6:
3.80516476973 ≈ 3.81 inches
Solve forn. (7^2)^4=n^8
Answer:
Rearrange:
Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :
7/n-(8/7)=0
Step by step solution :
STEP 1:
8
Simplify —
7
The equation at the end of step
1:
7 8
— - — = 0
n 7
STEP 2:
7
Simplify —
n
The equation at the end of step
2:
7 8
— - — = 0
n 7
STEP 3:
Calculating the Least Common Multiple :
3.1 Find the Least Common Multiple
The left denominator is : n
The right denominator is : 7
Number of times each prime factor
appears in the factorization of:
Prime
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
7 0 1 1
Product of all
Prime Factors 1 7 7
Number of times each Algebraic Factor
appears in the factorization of:
Algebraic
Factor Left
Denominator Right
Denominator L.C.M = Max
{Left,Right}
n 1 0 1
Least Common Multiple:
7n
Calculating Multipliers :
3.2 Calculate multipliers for the two fractions
Denote the Least Common Multiple by L.C.M
Denote the Left Multiplier by Left_M
Denote the Right Multiplier by Right_M
Denote the Left Denominator by L_Deno
Denote the Right Multiplier by R_Deno
Left_M = L.C.M / L_Deno = 7
Right_M = L.C.M / R_Deno = n
Making Equivalent Fractions :
3.3 Rewrite the two fractions into equivalent fractions
Two fractions are called equivalent if they have the same numeric value.
For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.
To calculate equivalent fraction, multiply the numerator of each fraction, by its respective Multiplier.
L. Mult. • L. Num. 7 • 7
—————————————————— = —————
L.C.M 7n
R. Mult. • R. Num. 8 • n
—————————————————— = —————
L.C.M 7n
Adding fractions that have a common denominator :
3.4 Adding up the two equivalent fractions
Add the two equivalent fractions which now have a common denominator
Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:
7 • 7 - (8 • n) 49 - 8n
——————————————— = ———————
7n 7n
The equation at the end of step
3
:
49 - 8n
——————— = 0
7n
STEP
4
:
When a fraction equals zero :
4.1 When a fraction equals zero ...
Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.
Now, to get rid of the denominator, Tiger multiplies both sides of the equation by the denominator.
Here's how:
49-8n
————— • 7n = 0 • 7n
7n
Now, on the left-hand side, the 7n cancels out the denominator, while, on the right-hand side, zero times anything is still zero.
The equation now takes the shape :
49-8n = 0
Solving a Single Variable Equation:
4.2 Solve : -8n+49 = 0
Subtract 49 from both sides of the equation :
-8n = -49
Multiply both sides of the equation by (-1) : 8n = 49
Divide both sides of the equation by 8:
n = 49/8 = 6.125
One solution was found :
n = 49/8 = 6.125
Step-by-step explanation:
hope this helps...
The solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
What is an algebraic expression?"It is a mathematical statement which consists of variables and constants, and some algebraic operations."
What is an equation?"It is a mathematical statement which consists of equal symbol between two mathematical statements."
What is exponent?"It refers to the number of times a number is multiplied by itself.""For non-zero real numbers a, b, c, [tex](a^b)^c=a^{b\times c}[/tex]"For given question,
We have been given an equation [tex](7^2)^4=n^8[/tex]
Consider an algebraic expression on the left side of the above equation.
[tex](7^2)^4[/tex]
Using the properties of exponents we can write it as,
[tex](7^2)^4\\=7^{(2\times 4)}\\=7^8[/tex]
So, given equation becomes,
[tex]7^8=n^8[/tex]
Since power is same, base of above exponents is equal.
⇒ n = 7
Therefore, the solution of equation [tex](7^2)^4=n^8[/tex] is n = 7
Learn more about the exponents here:
https://brainly.com/question/12158740
#SPJ2
A taxi hurries for 1 hour 54min with a constant speed of 93km and then for another 5 hours 15min with a constant speed of 72km. What distance did it go
Speed = 93km /h and 72km/h
Answer: The taxi went a distance of 554.7km
Step-by-step explanation:
Speed = Distance / Time
Distance covered in the first trip = Speed x Time
Time = 1 hour 54 min =1+0.9 hours =1.9hours
=93km / h x 1.9 hours =176.7km
Distance covered in the second trip = Speed x Time
Time = 5 hours 15min = 5+0.25hours =5.25hours
=72km / h x 5.25hours =378 km
Total distance =176.7km+378 km
=554.7km
at home depot, each pink tile costs $5 and each grey tile costs $2. if u have a total budget of $120, how many of each color tile can you buy if you want to copy this pattern
Answer:
30 gray 12 pink
Step-by-step explanation:
if you put 60$ in each the gray will be (60:2= 30) and the pink will be (60:5=12)
Pls help me with this.
1 day= ____________ seconds
Please show the work!!
Answer:
86400 seconds
Step-by-step explanation:
The unit of measurement "day" (symbol d) is defined as 86,400 SI seconds.
Answer:
86,400
Step-by-step explanation:
can someone please help me asap
Answer:
[tex] \sin(52) = 0.9866[/tex]
the circumference of a pizza is 44 inches find the radius of the pizza to the nearest tenth of a inch
Answer:
radius = 7
Step-by-step explanation:
Ffthgvhgvhgvhhgjhjhvjhguyyg
Answer:
c is the correct option of the question
Answer:
c) [tex]3^{9}[/tex]
Step-by-step explanation:
[tex]3^{5}[/tex] = 3 x 3 x 3 x 3 x 3
[tex]3^{4}[/tex] = 3 x 3 x 3 x 3
all together would be 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3 x 3
which would be [tex]3^{9}[/tex]
very confusing help i dont understand
Answer:
12.8 servings
Step-by-step explanation:
[tex]1\frac{1}{4}[/tex] cups of milk is used to make 10 servings of a recipe.
If [tex]1\frac{1}{4}[/tex] cups or [tex]\frac{5}{4}[/tex] cups of milk is used to to make 1 serving.
Then 1 cup of milk will be required to make servings = [tex]\frac{1}{\frac{5}{4}}[/tex]
= [tex]\frac{4}{5}[/tex]
Since, 1 gallon = 16 cups
Therefore, 16 cups of milk will be required for servings = [tex]\frac{4}{5}\times 16[/tex]
= 12.8 servings
Please help as soon as possible
Answer:
3.5 grams
Step-by-step explanation:
just divide the number of peanuts by the number of raisins, 14/4=3.5, 21/6=3.5, 35/10=3.5
Answer:
3.5 for all
Step-by-step explanation:
divide the grams of peanuts by the grams of raisins
I need help fast!!!!!!
Answer:
28 Pi
Step-by-step explanation:
circumference = 24(2)(π) = 48π
arc ABC = 360° - 150° = 210°
210/360(48π) = 28 Pi
Can Anybody Help Geometry Work Will Give Brainliest!
