What is the solution to 4(2x - 1) = 20?
Enter your answer in the box.
X=
Answer:
x=3
Step-by-step explanation:
4(2x - 1) = 20
Divide each side by 4
4/4(2x - 1) = 20/4
2x-1 = 5
Add 1 to each side
2x-1 +1 = 5+1
2x= 6
Divide by 2
2x/2 = 6/2
x = 3
Answer:
[tex]x=3[/tex]
Step-by-step explanation:
Use the distributive property to expand the left side:
[tex]a(b-c)\\\\ab-ac[/tex]
Simplify:
[tex]4(2x-1)=20\\\\4(2x)-4(1)=20\\\\8x-4=20[/tex]
Isolate the variable, x. Add 4 to both sides of the equation:
[tex]8x-4+4=20+4\\\\8x=24[/tex]
Now divide both sides by 8:
[tex]\frac{8x}{8} =\frac{24}{8}\\\\ x=3[/tex]
The value of x is 3.
:Done
-7-5+3=1 ? true or false
Use interval notation to identify the range of the exponential function
y=-3^x-2+4
HELP
Answer:
Hey there!
The range is (-∞, 2)
Hope this helps :)
Bob and bart plan to buy one computer for $500 strictly for gaming purposes. Games cost $60 each
Answer:
500+60g
Step-by-step explanation:
This is the answer because every game costs $60 and you represent everytime you buy a game by using 60g. And you can't put 500 g because that is not what each game costs 500 represents how much the computer is.
(5y+3)(4y+9)=66 What is the value of y
Answer:
y = 39/20
Step-by-step explanation:
(20y + 27 = 66
20y = -27 + 66
20y =39
y = 39/20
The radius of a cylinder gift box is box is 3X +1 inches the height of the gift box is twice the radius what is the surface area of the cylinder write your answer as a polynomial in standard form
Answer:
The surface area of the gift box is = [tex]A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}[/tex]
Step-by-step explanation:
The surface area of the cylinder can be calculated using this formula:
[tex]A=2\pi rh+2\pi r^2[/tex]
in this case, r is not a number, but rather an expression, which is r = [tex]3x +1[/tex].
The height of the gift box is twice the radius, which is h = [tex]2(3x+1)= 6x+2[/tex]
To get our curved surface area, we carefully put the expressions for h and r into the equation.
[tex]A = 2 \times \frac{22}{7} \times (3x+1) \times (6x+2) + 2 \times \frac{22}{7} \times (3x+1)^{2}[/tex]
[tex]A = \frac{44}{7} (3x+1) \times (6x +2) + \frac{44}{7} (9x^{2} + 6x +1)\\A =\frac{132}{7}x + \frac{44}{7} \times (6x+2)+ \frac{396}{7}x^{2}+\frac{246}{7}x +\frac{44}{7}[/tex]
[tex]A = \frac{792}{7}x^{2} +\frac{264}{7}x +\frac{264}{7}x + \frac{88}{7} + \frac{396}{7}x^{2} + \frac{246}{7}x + \frac{44}{7}[/tex]
[tex]A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}[/tex]
The surface area of the gift box is = [tex]A = \frac{1188}{7}x^{2}+ \frac{774}{7}x +\frac{132}{7}[/tex]
How many solutions does the system have?
x+y=3
5x + 5y = 15
Choose 1 answer:
A. Exactly one solution
B. No solutions
С. Infinitely many solutions
Answer:
C)
Step-by-step explanation:
The answer is infinitely many solutions
because a1/a2 = b1/b2 = c1/c2.
Hope it helps :)
If you multiply the top equation (x+y=3) by 5 it gives you the same exact solution as the bottom one (5x+5y=15). Therefore, the both equations end up being the same and get canceled out because they both end up being (5x+5y=15), and the only way you can solve those is if you cancel out what is common in both equations.
-(1+7x)-6(-7-x)=36
HELP
Answer:
x=5 Brainliest would be nice :)
Step-by-step explanation:
Using the slope formula, find the slope of the line through the given points (8,2) and (6,8)
Answer:
-3
Step-by-step explanation:
To do this you just have to do the slope formula which is [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex] then plug in the numbers so you get [tex]\frac{8-2}{6-8}[/tex] which would[tex]\frac{6}{-2}[/tex] get you which can be reduced to -3 so that would be the answer
Answer:
the formula of slope is : (y)₂-(y)₁ ÷(x)₂-(x)₁
Step-by-step explanation:
(x)₁=8,(x)₂=6
(y)₁=2,(y)₂=8
the slope = (y)₂-(y)₁ ÷ (x)₂-(x)₁
= 8-2 ÷6-8
= 3/-1
= -3
therefore slope is -3
A game is played, where a die is tossed and a marble selected from a bag. Bag M contains 3 red marbles (R) and 2 green marbles (G). Bag N contains 2 red marbles and 8 green marbles. A fair six-sided die is tossed. If a 3 or 5 appears on the die, bag M is selected (M). If any other number appears, bag N is selected (N). A single marble is then drawn at random from the selected bag. Question ----> Find the probability that a green marble is drawn from either bag.
Answer:
2/3
Step-by-step explanation:
A die has 6 sides. If a 3 or 5 is rolled, then bag M is selected. So the probability that bag M is selected is 2/6 = 1/3.
Likewise, if a number other than 3 or 5 is rolled, then bag N is selected. So the probability that bag N is selected is 4/6 = 2/3.
If bag M is selected, the probability the marble is green is 2/5. The probability that M is selected, AND the marble is green, is therefore:
(1/3) (2/5) = 2/15
If bag N is selected, the probability that the marble is green is 8/10 = 4/5. The probability that N is selected, AND the marble is green, is therefore:
(2/3) (4/5) = 8/15
The total probability that a green marble is selected is therefore:
P = 2/15 + 8/15
P = 10/15
P = 2/3
Bag M: 3 red and 2 green = 5 total, so green = 2/5
Bag N: 2 red and 8 green = 10 total, so green = 8/10 = 4/5
Dice roll: chance of getting Bag M is 2/6 ( 2 numbers out of 6 total numbers on a die), reduces to 1/3
Chance of getting Bag N is 4/6 = 2/3
The probability of picking green = Probability of Bag M x Probability of green in bag M + probability of bag N x probability of green in bag N:
2/5 * 1/3 + 4/5 * 2/3 = 2/15 + 8/15 = 10/15 = 2/3
The probability = 2/3
In the table about plant growth, what constant rate of change occurs? Explain what this rate of change means
in terms of growth. Include measurement labels.
Answer/Step-by-step explanation:
The constant rate of change that occurs can be calculated using the formula, [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]
Let any 2 given pair values represent (x, y).
Thus, let's use (3, 3) and (5, 4.5)
Let (3, 3) = (x1, y1)
(5, 4.5) = (x2, y2)
Rate of change = [tex] \frac{4.5 - 3}{5 - 3} = \frac{1.5}{2} [/tex]
Rate of change = 0.75
The rate of change, 0.75, means in terms of growth, the height of the plant increases by 0.75 inches every week.
– 5 | 3 z + 8| –5 = -20
I'm assuming you want to solve for z :)
By simplifying both sides of the equation, then isolating the variable.
Exact form:
z= -5/3 , - 11/3
Mixed number form:
z= −1 2/3 , −3 2/3
Answer:
There are two solutions, -5/3 and -11/3
Step-by-step explanation:
Move -5 to the right side and add:
-5 | 3x + 8 | = -15
Get rid of the absolute-value bars by splitting them into negative and positive cases.
Solve negative case
-5 ( 3z + 8 ) = -15
Distribute or Multiply:
-15z - 40 = -15
Rearrange and Add:
-15z = 55
Divide both sides by 15:
-z= 11/3
Multiply both sides by -1:
z= -11/3
Solve negative case
5 ( 3z + 8 ) = -15
Distribute or Multiply:
15z + 40 = 15
Rearrange and Add:
15z = -25
Divide both sides by 15:
z = -(5/3)
Answer
z=-11/3
z=-5/3
Please tell me the answer I need it soon, I do not understand math at all, tutoring doesn’t help me either.
The long way to do this is to have
4*4*4 *4*4*4 *4
so we have 7 copies of '4' multiplied together
Typing this into your calculator leads to
4*4*4 *4*4*4 *4 = 16384
-----------------------------------------------
The shortcut is to use exponents
Writing 4^7 means we have a base of 4 and an exponent of 7.
Saying 4^7 is the same as saying [tex]4^7[/tex]
To enter in your calculator, you would hit the button labeled [tex]x^y[/tex]
So you'll type 4, then the [tex]x^y[/tex] button followed by 7
Your calculator will then show 16384 as a result.
------------------------------------------------
Side note: you could compute all this by hand using pencil & paper, but to me that seems like tedious busy work (so why not use a calculator to be efficient).
8 grade math dont really uderstand it so please explain also
Answer: Girls weekly: 25; Girls never:40; boys yearly: 25; boys never: 20; boys total:80 monthly total: 30
Step-by-step explanation:
You have to figure it out by adding or subtracting where ever it needs to be like in girls weekly you have to subtract the weekly total and the boys weekly to figure it out.
PLZZZ help asap will give the brain and 70 points!!!!! For 2x^2+5=-x, choose the correct substitution for a, b, and c in the standard form of ax^2+bx+c=0. A. a=2,b=1,c=5 B. a=2,b=1,c=-5 C. a=2,b=-1,c=5 D. a=2,b=5,c=-1
Answer:
A. a=2, b=1, c=5
Step-by-step explanation:
Given:
2x^2+5=-x
Rearrange to have the format
ax^2+bx+c=0
2x^2+5=-x
Add x to both sides
2x^2 + 5 + x = - x + x
2x^2 + 5 + x = 0
2x^2 + x + 5 = 0
ax^2 + bx + c = 0
Where
a= coefficient of x ^2
b = coefficient of x
c= constant
Therefore,
a= 2
b = 1
c= 5
A. a=2,b=1,c=5 is the correct answer
Answer:
[tex]\huge \boxed{\mathrm{A.} \ a=2, \ b=1, \ c=5}[/tex]
[tex]\rule[225]{225}{2}[/tex]
Step-by-step explanation:
2x² + 5 = -x
The quadratic equation is in the form :
ax² + bx + c = 0
Rewriting the equation by adding x to both sides :
2x² + 1x + 5 = 0
The value of a is 2.
The value of b is 1.
The value of c is 5.
[tex]\rule[225]{225}{2}[/tex]
For how many games is the total cost of bowling equal for the two bowling establishments? Family bowling, game $4, shoes $1. Knight owl bowling, game $3.75, shoes $2.
$2^4785733858979-|&duts7stpzo64suprxxruxpu5dp7d058d805d0y7f
Can anyone find the slope of this line (lots of points reward)
Answer:
[tex]-\frac{3}{4}[/tex]
Step-by-step explanation:
The slope of a line is always rise over run.
To find the slope of this line, we are looking for two points that are on an integer x value and an integer y value.
One of these points is (-4, 1). Another one is (0, -2).
Studying the y-values of both (the rise), the change in y is [tex]1 - (-2) = 1+2 = 3[/tex], and since we are going down, the change is [tex]-3[/tex].
Studying the x values of both (the run), we can see that the rate of change is [tex]|-4 + 0| = 4[/tex].
So the rise over run will be [tex]\frac{-3}{4}[/tex], or just [tex]-\frac{3}{4}[/tex]. This is also the slope as slope is rise over run.
Hope this helped!
Answer:
-3/4
Step-by-step explanation:
Take two points on the line
(-4,1) and (0,-2)
Using the slope formula
m = (y2-y1)/(x2-x1)
= (-2-1)/(0- -4)
= -3/4
is 7/8 natural, whole, integer, rational, irrational
if 25^x+1 = 125/5^x find the value of x
x =1/3
Step-by-step explanation:25ˣ⁺¹ = 125/5ˣ
5²⁽ˣ⁺¹⁾ = 5³/5ˣ
5²⁽ˣ⁺¹⁾ = 5³ : 5ˣ
5²⁽ˣ⁺¹⁾ = 5³⁻ˣ
2(x + 1) = 3 - x
2x + 2 = 3 - x
2x + x = 3 - 2
3x = 1
x = 1/3
How would you express b⃗ using unit vectors? express your answers in terms of the unit vectors x^ and y^. use the unit vector button under the templates menu in the answer box to create unit vectors?
Answer:
This question seems to be incomplete, so i will answer it in a general way.
If we have a vector;
b = (b1, b2)
where b1 and b2 are the x-component and the y-component (respectively) of the vector b, then we can write the vector as:
b = (b1, b2) = b1*x^ + b2*y^
Where x^ = (1, 0) and y^ = (0, 1)
Are the unit vectors.
Pls help ASAP! I will make you brainliest!! (Number 12.)
Answer:
The lengths of the sides are 30 ft, 60 ft, 15 ft, 45 ft
Step-by-step explanation:
The perimeter is 150 ft, the length of the fence.
We add the lengths of the sides and set equal to the perimeter. Then we solve for x. Once we know x, we find the length of each side.
x + 2x + 0.5x + 45 = 150
3.5x = 105
x = 105/3.5
x = 30
Lengths of sides:
x = 30
2x = 2(30) = 60
0.5x = 0.5(30) = 15
45
Answer: The lengths of the sides are 30 ft, 60 ft, 15 ft, 45 ft
Graph this function:
y–3=2(x–5)
Here you go. This is the graph of the function:
y - 3 = 2(x - 5)
Answer:
slope = 2 y intercept = ( 0, -7 )
Step-by-step explanation:
x y
0 -7
7/2 0
Put the following equation of a line into slope-intercept form, simplifying all
fractions.
2x +y = -5
Answer:
All you have to do is break it down
Step-by-step explanation:
2x+y=-5
y =2x-5
The product of two numbers subtracted by 44, the result is 100. Find the numbers.
Answer: the numbers can be 16 and 9, 6 and 24 or other factors of 144
An archer hits a bullseye 64% of the time. What is the probability the archer hits
the bullseye exactly 4 times during 10 total attempts?
a. 242
b. .365
C..077
d. 168
Answer:
C. 0.077
Step-by-step explanation:
Use binomial probability.
P = nCr pʳ qⁿ⁻ʳ
where n is the number of trials,
r is the number of successes,
p is the probability of success,
and q is the probability of failure (1−p).
n = 10, r = 4, p = 0.64, q = 0.36.
P = ₁₀C₄ (0.64)⁴ (0.36)⁶
P = 210 (0.64)⁴ (0.36)⁶
P = 0.077
Q3. Stefan has 4 1/2 cups of oats. He uses 3 1/4 cups to make granola bars for
a camping trip. He saves the rest of the oats to feed to his parrot, Coco. If
Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed
Coco with the oats he has left? Write your answer simplified fraction.
cn one of yall plz answer this question plz
Answer:
Days can Stefan feed
Coco with the oats he has left is 5 days
Step-by-step explanation:
Total Oats = 4 1/2 cups
He uses 3 1/4 cups to make granola bars for
a camping trip
Remaining oats after making granola bars = Total oats - oats used for granola bars
= 4 1/2 - 3 1/4
.= 9/2 - 13/4
= 18-13/4
= 5/4 cups
Remaining oats after making granola bars is 5/4 cups
Coco needs 1/4 of a cup of oats each day, how many days can Stefan feed
Coco with the oats he has left?
Days can Stefan feed
Coco with the oats he has left = Remaining oats / 1/4 cups
= 5/4 cups ÷ 1/4 cups
= 5/4 × 4/1
= 20/4
= 5 days
Days can Stefan feed
Coco with the oats he has left is 5 days
Answer:
5 days
Step-by-step explanation:
Find the equation of the parabola with its focus shown below. GRAPH ATTACHED, 15 POINTS! Due in 2 hours, will give BRAINLIEST!
Answer:
Solution : Option A
Step-by-step explanation:
Let' go through all the options we have here.
• x + 2 = - 1 / 8y² converted into standard form will be 4(- 2)(x - (- 2)) = (y - 0)². The parabola properties will be similar to the ones of this parabola, vertex = (- 2,0) and focal length = - 2. It hence is most likely to be the parabola provided to us.
• y = 1 / 8(x + 2)² is an up - down facing parabola, and hence is not at all similar to the given parabola
• x - 2 = 1 / 8y² will be a graph reflected over the y - axis with respect to the graph x + 2 = - 1 / 8y². It hence does not match the given parabola
• y = 1 / 8(x + 2)² will be a graph reflected over the x - axis with respect to the graph of y = 1 / 8(x + 2)². It will hence be a down - up facing parabola, which does not match the given parabola
(x - 6)^2 - 5 = 0 Enter the solutions from least to greatest.
Answer:
x=6- sqrt(5)
x=6+ sqrt(5)
Step-by-step explanation:
(x - 6)^2 - 5 = 0
Add 5 to each side
(x - 6)^2 =5
Take the square root of each side
sqrt((x - 6)^2) =± sqrt(5)
x-6 = ± sqrt(5)
Add 6 to each side
x-6+6=6± sqrt(5)
x=6± sqrt(5)
from least to greatest
x=6- sqrt(5)
x=6+ sqrt(5)
Answer:
[tex]\Large \boxed{ x=6 -\sqrt{5} \ \ \mathrm{or} \ \ x=6 + \sqrt{5}}[/tex]
Step-by-step explanation:
[tex](x - 6)^2 - 5 = 0[/tex]
Adding 5 to both sides of the equation.
[tex](x - 6)^2 =5[/tex]
Taking the square root of both sides of the equation.
[tex]x-6 =\pm \sqrt{5}[/tex]
Adding 6 to both sides of the equation.
[tex]x=6 \pm \sqrt{5}[/tex]
Which fraction is equivalent to that number? HELP NEEDED ASAP
Answer:
2/3
Step-by-step explanation:
Let n = the repeating, non-terminating number 0.666...
We now have n = 0.666666...
We want the number n in the form of a fraction.
Since only 1 digit repeats, the 6, use a 1 followed by 1 zero, which means the number 10. Now multiply both sides by 10 and write the original equation below it.
10n = 6.666666...
n = 0.666666...
Subtract the bottom equation from the top equation.
9n = 6
n = 6/9
n = 2/3
· f(x) = 3x4 - 4x2 + 2
Answer:
If the x is a multiplying sign then the answer is 6, but
if the x is the letter x then it will be x=4
Answer:
theres 8
Step-by-step explanation: