Answer:
w = 10
Step-by-step explanation:
To find the value of w, you need to isolate w on one side.
You can start by subtracting 2 from both sides. What you do to one side of the equation, you have to do to both.
12 - 2 = 10
So now w is isolated and is equal to 10.
w = 10
You can check your work by replacing w with 10 in the equation.
10 + 2 = 12
Solve the Quadratic
2x^2–5x-8=0
Solution 1:
Solution 2:
[tex]2x^2 -5x-8 =0\\\\\implies x = \dfrac{ -(-5) \pm \sqrt{(-5)^2 - 4\cdot 2 \cdot (-8)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{5 \pm \sqrt{89}}{4}\\\\\\\text{Hence}~ x = \dfrac{5 + \sqrt{89}}{4},~~ x = \dfrac{5 - \sqrt{89}}{4}[/tex]
Answer:
[tex]\sf \boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]
[tex]\sf \boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]
✰Step-by-step explanation✰ ⤵[tex]\sf 2x^2-5x-8=0[/tex]
☁ We'll solve this equation using The Quadratic Formula:
[tex]\boxed{\sf \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
A= 2, b= -5, c= -8
[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}}{2\times \:2}[/tex]
[tex]\mapsto \sf \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}[/tex]
[tex]**\sf \left(-5\right)^2=5^2[/tex]
[tex]\mapsto \sf \sqrt{5^2+4\times \:2\times \:8}[/tex]
[tex]\mapsto \sf \sqrt{5^2+64}[/tex]
[tex]\mapsto \sf \sqrt{89}[/tex]
______________
[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{89}}{2\times \:2}[/tex]
☁ Now, we'll Separate solutions, first, we'll solve the equation when ± is plus:
[tex]\mapsto \sf \cfrac{-\left(-5\right)+\sqrt{89}}{2\times \:2}[/tex]
☁ Multiply 2*2 =4
[tex]\boxed{\sf \cfrac{5+\sqrt{89}}{4}}[/tex]
_________________
☁ Now solve the equation when ± is minus:
[tex]\mapsto \sf \cfrac{-\left(-5\right)-\sqrt{89}}{2\times \:2}[/tex]
☁ Multiply 2*2 =4
[tex]\boxed{\sf \cfrac{5-\sqrt{89}}{4}}[/tex]
[tex]\sf Solution \:1:\boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]
[tex]\sf Solution \:2:\boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]
☁❅☁❅☁☁❅☁❅☁☁❅☁❅☁❅☁
Learn more: https://brainly.com/question/22286698
What is the lcm of 24, 18, and 6
we have 24= 2^3 x 3 ; 18=2 x 3^2 ; 6=2 x 3
so LCM of 24, 18, 6 is 2^3 x 3^2 = 72
ok done. Thank to me :>
please help struggling a lot!
Answer:
- 162, 486, - 1458
Step-by-step explanation:
To find the next term in a geometric sequence , multiply the previous term by the common ratio r
r = [tex]\frac{T_{2} }{T_{1} }[/tex] = [tex]\frac{-18}{6}[/tex] = - 3 , then
T₄ = T₃ × - 3 = 54 × - 3 = - 162
T₅ = T₄ × - 3 = 486
T₆ = T₅ × - 3 = - 1458
The product of two consecutive even integers is 6 more than 3 times their sum. The integers are: a. 6,8 b. 16, 20 12, 16 d. 20, 24 C.
Answer:
a. 6,8
Step-by-step explanation:
The only offered answer choice that lists consecutive even integers is ...
a. 6,8
_____
Consecutive even integers differ by 2, not 4.
__
Check
The product is 6×8 = 48.
Three times the sum is 3(6+8) = 3(14) = 42.
The product is 6 more than 3 times the sum. 42+6 = 48
find ()
(x).
For f(x) = 4x +1 and g(x) = x2-5, find
BRAINLIST
Answer:
D. (4x + 1) / (x² - 5), x ≠ ±√5Step-by-step explanation:
Given:
f(x) = 4x + 1 and g(x) = x² - 5Find {f/g)(x):
(f/g)(x) = f(x) / g(x) = (4x + 1) / (x² - 5)Since denominator can't be zero:
x² - 5 ≠ 0 ⇒ x² ≠ 5 ⇒ x ≠ ±√5Correct choice is D
A pollutant breaks down at a rate of 2% a year. What fraction of the current amount will be present in 20 years? Let X(0) = 1.
Answer:
Step-by-step explanation:
X = 1(1 - 0.02)ⁿ
X = 1(0.98)²⁰
X = 0.6676
67%
Using an exponential equation, it is found that 66.76% of the current amount will be present in 20 years.
A decaying exponential function has the following format:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(t) is the initial value.r is the decay rate, as a decimal.In this problem, breaks down at a rate of 2% a year, hence [tex]r = 0.02[/tex], and:
[tex]A(t) = A(0)(1 - 0.02)^t[/tex]
[tex]A(t) = A(0)(0.98)^t[/tex]
The fraction after 20 years is A(20), hence:
[tex]A(20) = A(0)(0.98)^{20}[/tex]
[tex]A(20) = 0.6676[/tex]
66.76% of the current amount will be present in 20 years.
A similar problem is given at https://brainly.com/question/14773454
Pls answer the rest for me I’ll give you brainilist
Answer:
29 x 8 = 191
62 x 19 = 1,178
8.7 x 12 = 104.4
11.9 x 4 = 47.6
45 x 6 = 270
Write the equation of a line that has a
slope of 7, and passes through the
point (-2,5). Show your work.
Answer: Y=7x+19
Step-by-step explanation:
got no time for explain hope this helper
9514 1404 393
Answer:
y -5 = 7(x +2)
Step-by-step explanation:
Values for the slope and a point are given. That makes it convenient to use the point-slope form of the equation for a line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -5 = 7(x +2) . . . . . . line with slope 7 through point (-2, 5)
__
Sometimes, you want the slope-intercept form of the equation. That can be found by solving for y
y -5 = 7x +14 . . . . . . . . eliminate parentheses
y = 7x +19 . . . . . . . . . . add 5 to both sides
__
In standard form, the same line has equation ...
7x -y = -19
Please take a look at the picture.
Answer:
B, and A
Step-by-step explanation:
big brain time
whats the answer can someone answer please
Answer:
both are c
Step-by-step explanation:
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling
the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
A. -10m + 200 = 60
B. -50m + 200 = 60
C.-10m + 140 = 60
D. -50m + 140 = 60
Answer:
M/140 = 50/60 or C
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
Evaluate (32 – 1)when z = 6
Answer:
17
Step-by-step explanation:
(3z - 1) when z = 6
Let's plug in 6 into the equation (3(6)-1)
Now we multiply the parenthesis (18-1)
Now we subtract (17)
So the answer is 17!
A car travelling at a constant speed covers 585 km in 9 hours. In how much time will it cover in 520 km? I want the answer in direct or inverse proportion.
Answer:
It took eight hours to travel 520km
Step-by-step explanation:
5.
Identify the axis of symmetry of the parabola.
A. y = −1
B. x = −1
C. x = 1
D. y = 1
Answer:
B. x = −1
Step-by-step explanation:
In the graph, the vertex of the parabola hits point (-1,-2). Therefore, the axis of symmetry is x = -1. It is not y = -2, since the parabola opens vertically, not horizontally.
What did you notice about the sums of 7 + (–3) and –3 + 7?
Step-by-step explanation:
Sum of 7 + (-3) = 7 +.- 3 = 7 - 3 = 4
( As + × - = -)
Sum of -3+7 = 4
We observe that both are same .
Answer:
they both give the same answer
Step-by-step explanation:
7+(_3)=+4
_3+7=+4
HELPPPP!!!!!!!!!!!!!!
Answer:
B
Step-by-step explanation:
125/29.35=4.409171076
4.409171076 is rounded to 4.41
If (-3)-5=1/xwhat is the value of x?
Option A
Option A -243
if any doubt leave a comment and don't forget to give BRAINLIEST
A caterer needs between 42 and 50
cupcakes for dessert. Name two possible
numbers between 42 and 50 that are
multiples of 4. Explain.
Answer:
404 & 408
Step-by-step explanation:
2
Select the correct answer.
Which statement is true about this equation?
-412p+5) + Bp=-11
A. The equation has one solution, p=2.
B. The equation has one solution, p=-2.
C. The equation has no solution.
D. The equation has infinitely many solutions.
Step-by-step explanation:
The equation has infinite solution p=2 that's tour variable
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) + 4 O = A. (8 + 4) = 3 B. 8. (3 + 4) OC. (3 + 8) = 4 O 8) D. (3 + 4) : (8 + 4) SUBMIT
Answer:
C
Step-by-step explanation:
known by checking all the answers for chooses
Find the values for a, b, and c for this quadratic equation. 3x^2 - x - 1 = 0
Answer:
a = 3, b = -1, c = -1
Step-by-step explanation:
3x² - x - 1 = 0 ⇒ 3x² - 1x - 1 = 0
a = 3, b = -1, c = -1
Evaluate the expression using the values given.
4y(y + x); use x= 3/2, and y = -5/4
Answer:
-5/4 or -1 1/4
Step-by-step explanation:
Okay! We'll take this problem one part at a time so that the process is less confusing and less difficult. Here's what our expression looks like when we replace x with 3/2 and y with -5/4:
[tex]4(-\frac{5}{4} )(\frac{3}{2} +-\frac{5}{4} )[/tex]
Looks a little scary! We can start by working within the parentheses and adding the two fractions together. First, we have to make each fraction have the same denominator, so we can multiply each fraction by 3/2 to get both our fractions a denominator of 4.
[tex]\frac{3}{2} *\frac{2}{2} =\frac{6}{4}[/tex]
[tex]\frac{6}{4} + -\frac{5}{4} =\frac{1}{4}[/tex]
Now, our expression is a little easier to work with. It looks like this now:
[tex]4(-\frac{5}{4} )(\frac{1}{4})[/tex]
First, let's multiply 4 by -5/4. Then, we'll take that product and multiply it by 1/4 to get our final answer.
[tex]\frac{4}{1} * -\frac{5}{4} =-\frac{20}{4} =-5[/tex]
Alright, this is our simplest expression yet. What's -5 times 1/4?
[tex]-\frac{5}{1} * \frac{1}{4} =-\frac{5}{4}=-1\frac{1}{4}[/tex]
So our answer is -5/4, or -1 1/4. Hopefully that's helpful! :)
1. In a scale drawing of a statue the scale is 1 in. = 1 foot. If the scale drawing is 9 in., how tall is the statue? 12 feet 4.5 feet 9 feet 18 feet4
Answer:
9 feet
Explanation :
9 feet beacause
1 in. = 1 foot so 9 in. = 9 feet
Work out the missing numbers
-6x_= -30
-6x_= 0
-6x _=18
_x-6= -54
Answer:
1. 5
2. 0
3. -3
4. -38
Step-by-step explanation:
from 1 to 4 i answered and solved hope its helpful
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
Answer:
240$
Step-by-step explanation:
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
48 : 20 * 100 = 240
3. A certain container of mouthwash usually costs $2.99 at a store. If it is on sale for 20% off how much does the mouthwash cost now?
A. $2.75
B. $2.77
C. $2.40
D. $3.74
Answer:
the answer is D Because
Step-by-step explanation:
so I will say about $3.74
Given log_73≈0.5646 and log_716≈1.4248, evaluate the expressions. Please show work using given values.
Answer:
(a) [tex]\log_72 \approx 0.3562[/tex]
(b) [tex]\log_7(\frac{147}{16} ) = 2[/tex]
Step-by-step explanation:
For the point a:
For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex]
16 can be re-write as [tex]2^4[/tex]. Then you have:
[tex]\log_72^4[/tex]
Using the power property of the logarithm we have:
[tex]\log_ba^c = c\log_ba[/tex]
[tex]\log_72^4 = 4\log_72[/tex]
And this expression is equal to:
[tex]4\log_72 \approx 1.4248\\\log_72\approx \frac{1.4248}{4} \approx 0.3562\\[/tex]
For the point b:
For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex] and [tex]\log_73 \approx 0.5646[/tex]
The first is use the quotient property in the given log.
[tex]\log_c\frac{a}{b} = \log_ca-\log_cb[/tex]
[tex]\log_7\frac{147}{16} = \log_7147 -\log_716[/tex]
We already know the value of [tex]\log_716[/tex] then we have to calculate the value of [tex]\log_7147[/tex].
So we factorize the number 147 in [tex]3 \cdot 7 \cdot 7[/tex] (for factorize the number start with the smaller prime and check if the remainder is 0, it is then is a primer factor of the number).
Now re-write [tex]\log_7147[/tex] as [tex]\log_73 \cdot 7^2[/tex] and by the product property get:
[tex]\log_bmn = \log_b m +\log_b n\\\log_73 \cdot 49 = \log_7 3 +\log_7 49 = 0.5646 + 2 = 2.5646[/tex]
Know replace each value in the subtraction and get the result:
[tex]\log_7147 -\log_716 = 2.5646 - 0.5646 = 2[/tex]
The width of a rectangle is 6 kilometers
a
less than twice its length. If its area is
56 square kilometers, find the
dimensions of the rectangle.
Answer:
9,333333333333333 and 6 Km
Step-by-step explanation:
The width of a rectangle is 6 kilometers
less than twice its length. If its area is
56 square kilometers, find the
dimensions of the rectangle.
the area of the rectangle is found by multiplying the width by the height, you have the area and the width, divide the area by the width and find the length
56 : 6 = 9,333333333333333 Km
-----------------------------
check
9,333333333333333 * 6 = 56
the answer is good
The ratio of the measures of the sides of a triangle is
9:10:4. If the perimeter of the triangle is 276 inches, find
the length of the shortest side.
X =
=
Length of shortest side =
Answer:
X = 48 inches for the shortest side
Step-by-step explanation:
9s = first side
10s = second side
4s = third side
Perimeter = sum of the sides
276 = 9s + 10s + 4s
276 = 23s
276/23 = s
12 = s
9s = first side; 9(12) = 108
10s = second side; 10(12) = 120
4s = third side; 4(12) = 48
A line contains the points (1, 2) and (0,1). What is the equation of the line?
Answer:
y = x + 1
Step-by-step explanation:
Slope: (1-2)/(0-1) = -1/-1 = 1
y-intercept: 1 - (-2)(0) = 1
y = x + 1