1−w−w2=64
Step 1: Simplify both sides of the equation.
−w2−w+1=64
Step 2: Subtract 64 from both sides.
−w2−w+1−64=64−64
−w2−w−63=0
For this equation: a=-1, b=-1, c=-63
−1w2+−1w+−63=0
Step 3: Use quadratic formula with a=-1, b=-1, c=-63.
w= −b±√b2−4ac /2a
w= −(−1)±√(−1)2−4(−1)(−63) /2(−1)
w= 1±√−251/ −2
A CD is on sale for $100.00. The sales tax rate is 6%. How much will the total cost be for the CD
Answer: $106.00
Step-by-step explanation:
Which set of data has a mean of 11 and a mode of 7?
A. 7, 8, 22, 7, 11
B. 3, 5 , 7, 7, 11, 15
C. 2, 5, 7, 11, 23, 18
Answer:
its a.
Step-by-step explanation:
What is 5 x 2 3/10 as a mixed number in the simplest form
?
Answer:
11 1/2Step-by-step explanation:
5 × 2 3/10 = 5 × (2 + 3/10) =5 × 2 + 5 × 3/10 = 10 + 3/2 = 10 + 1 1/2 =11 1/2[tex]\large{{\sf{5 \times 2 \frac{3}{10} = \frac{115}{10} = \frac{115 \div 5}{10 \div 5} = \frac{23}{10} = {\large{\underline{\boxed{\sf{\green{11 \frac{1}{2} }}}}}}}}} \\ [/tex]
Function 1 is defined by the equation y=-1/4r-5
Step-by-step explanation:
and what is function 2 ?
but I think I can risk a guess based on the little piece of the graph I can see.
the y-intercept is simply the point on the y-axis (that means x=0), where the line crosses.
in other words, it is the y-value when x = 0.
the y-intercept of function 1 is therefore -5.
and the picture suggests that the visible line would cross the y-axis at about y=-6.
as -5 is greater than -6, function 1 has the greater y-intercept.
Ive been trying to get this question but i still cant seem to understand it please help
Answer:
D:x=2
Step-by-step explanation:
Rest of the triangle is just a distraction. The distance from B to any point in the bysector is the same as the distance from C to the same point (you can look at BDF and CDF and notice they're congruent by SAS). at this point it's just solving
[tex]2x + 3 = 4x - 1 [/tex]
which has 2 as a solution
The mean temperature for the first 7 days in January was 4 °C.
The temperature on the 8th day was 6 °C.
What is the mean temperature for the first 8 days in January?
Jorge heard that as a general rule, he should save at least 10% of his take-home pay. If Jorge’s take-home pay is $2950 per month, what is the minimum amount per year that he should save?
Answer:
$295
Step-by-step explanation:
2950 · 0.10 = 295
I can write an equation
Answer: y = -x + 2
Step-by-step explanation:
If you are familliar with the point-slope form this is very helpful
Point-slope:
[tex]y-y_1=m(x-x_1)[/tex]
Plug in our values of [tex]m = -1, y_1=-1,x_1=3[/tex] to get:
[tex]y-(-1) = -1(x-3)[/tex]
Simplify
[tex]y+1=-x+3[/tex]
[tex]y=-x+2[/tex]
A bank loaned out $30,500, part of it at the rate of 5% annual interest, and the rest at 4% annual interest. The total interest earned for both loans was $1,405.00. How much was loaned at each rate?
$What was loaned at 5% and
$ What was loaned at 4%.
Step-by-step explanation:
Ok, so we know the bank loaned part of the $17,500 at a 4% interest rate. Lets call this loan amount x. Then the rest of the 17,500 was loaned at a 9% interest rate. Whatever this amount was, we can define it as 17,500 - x. We also know that the total interest earned was $1,100. With this information, we can form the following equation:
.04(x) + .09(17500 - x) = 1100
Multiply the .09 times the inside of the parentheses:
.04x + 1575 - .09x = 1100
Simplify:
-.05x + 1575 = 1100
-.05x = -475
x = 9500
Since x is originally the amount loaned at the 4% interest rate, we know that $9,500 was loaned at a 4% interest rate.
To figure out the other amount loaned at 9%, simply subtract 9,500 from 17,500 -- this gets us 8,000. So $8,000 was loaned at a 9% interest rate.
I hope this helps!
Two handymen can do a home repair in 2 hours if they work together. One of the men takes 3 hours more than the other man to finish the job by himself. How long does it take for each handyman to do the home repair individually?
Using the together rate, it is found that:
It takes 3 hours for the first handyman to do the home repair individually.It takes 6 hours for the second handyman.The together rate is the sum of each separate rate.
In this problem, we have that:
The together rate is of [tex]\frac{1}{2}[/tex].The first man takes x hours, hence his rate is of [tex]\frac{1}{x}[/tex]The second man takes x + 3 hours, hence his rate is of [tex]\frac{1}{x + 3}[/tex]Applying the together rate:
[tex]\frac{1}{x} + \frac{1}{x + 3} = \frac{1}{2}[/tex]
[tex]\frac{x + 3 + x}{x(x + 3)} = \frac{1}{2}[/tex]
[tex]4x + 6 = x^2 + 3x[/tex]
[tex]x^2 - x - 6 = 0[/tex]
Which is a quadratic equation with coefficients [tex]a = 1, b = -1, c = -6[/tex], hence:
[tex]\Delta = b^2 - 4ac = (-1)^2 - 4(1)(-6) = 25[/tex]
[tex]x_1 = \frac{-b + \sqrt{\Delta}}{2a} = \frac{1 + \sqrt{25}}{2} = 3[/tex]
[tex]x_2 = \frac{-b - \sqrt{\Delta}}{2a} = \frac{1 - \sqrt{25}}{2} = -2[/tex]
We are interested into the positive root, then [tex]x = 3[/tex], [tex]x + 3 = 6[/tex], which means that:
It takes 3 hours for the first handyman to do the home repair individually.It takes 6 hours for the second handyman.You can learn more about the together rate at https://brainly.com/question/25159431
I need help with this
Answer:
check online for more information
Graph the line with a slope of −1 that contains the point (3,6)?
Answer:
y=-x+9
Step-by-step explanation:
The answer above is written in slope-intercept form because it is the easiest form to graph (in my opinion); slope-intercept form is y=mx+b, where m is slope and b is the y-intercept. However, to get the answer, you must first use slope-point. Slope-point is [tex]y-y_{1}=m(x-x_{1})[/tex]. So, plug in the point and slope into the formula. This gives the equation, y-6=-1(x-3). Then, solve the equation for the answer of y=-x+9.
On a graph, the y-intercept will be 9. So, the line will cross the y-axis at a value of 9. Additionally, the slope is -1. So, y will increase by one and x will decrease by one. This means that the line will look like it decrease left to right.
Help hep help help math math math
Answer:
<4 corresponds with <8
Step-by-step explanation:
They correspond because they are in the same position relative to the lines.
As you can see, it is in the exterior area and it matches up exactly with the other angle. I attached an example picture of a corresponding angle
Can you identify a parallel or perpendicular equation and type the correct code? Please remember to type in ALL CAPS with no spaces.
The equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].
Let be a line whose equation is:
[tex]a\cdot x + b\cdot y = c[/tex] (1)
Whose explicit form is:
[tex]y = -\frac{a}{b} \cdot x +\frac{c}{b}[/tex] (2)
Where:
[tex]x[/tex] - Independent variable.[tex]y[/tex] - Dependent variable.The slope and x-intercept of the line are [tex]-\frac{a}{b}[/tex] and [tex]\frac{c}{b}[/tex], respectively.
There are two facts:
A line is parallel to other line when the former has the same slope of the latter.A line is perpendicular to other line when the former has a slope described the following form ([tex]m_{\perp} = -\frac{1}{m}[/tex]), where [tex]m[/tex] is the slope of the former.Then, the equation of the line that is parallel to [tex]2\cdot x + 5\cdot y = 10[/tex] is [tex]y = -\frac{2}{5} \cdot x + 3[/tex] and the equation of the line that is perpendicular to [tex]4\cdot x + 3\cdot y =12[/tex] is [tex]y =\frac{3}{4}\cdot x - 1[/tex].
To learn more on lines, we kindly invite to check this verified question: https://brainly.com/question/2696693
PLEASE HELP!!
I got about half way through the problem but I ddont know hiw to solve the rest :\
solve the radical equation.
[tex] \sqrt{x + 3} - 1 = x[/tex]
Answer:
The answer is x = 1
Hope this helps! :)
(sqrt) x + 3 = x + 1
x + 3 = x^2 + 2x + 1
x + 3 - x^2 - 2x - 1 = 0
-x + 2 - x^2 = 0
x^2 + x - 2 = 0
(x - 1) (x + 2) = 0
x = 1, -2
^^no negatives/canceled
x = 1
HELPPPPOPPPOPPÑPPÑÑÑ
A.
So for 1 hour you pay 10 dolars then for 3 you pay 30 then for 11 you pay 110 then for 20 you pay 200.
For B and C I dont Know sorry.
the sum of three consecutive odd integers is 129. find the integers
Answer:
[tex]\huge\boxed{\sf 41,\ 43, \ 45}[/tex]
Step-by-step explanation:
Let the three consecutive integers be x, x + 2 and x + 4
So, the given condition is:
x + x + 2 + x + 4 = 129
3x + 6 = 129
Subtract 6 to both sides
3x = 129 - 6
3x = 123
Divide 3 to both sides
x = 123/3
x = 41
So, the integers are:
x = 41
x + 2 = 41 + 2 = 43
x + 4 = 41 + 4 = 45
[tex]\rule[225]{225}{2}[/tex]
Hope this helped!
~AH1807Please answer I need step by step explanation
Answer:
10 cm
Simplified explanation/tl;dr: the small triangle is two thirds the size of the big triangle, so the missing side on the small triangle is two thirds the size of the same side on the big triangle
Long explanation/step by step:
It looks scary, but don't worry; for questions like this just find the ratio then multiply it by the similar side to find the missing side.
This is what I mean: 8/12 simplified is 2/3 (4 is the common factor and 8/4 = 2 and 12/4 = 3). That's your fraction to multiply by.
I chose 8 and 12 because look how the triangles are the same shape just different sizes, that means they're similar. the similar sides are just the same side on both triangles. (for this one, BC and GH are similar). to find how much smaller it is in fraction form, you just take two of the same sides and divide the small one by the big one. (big number becomes top, small becomes bottom)
now just multiply 15 by 2/3 by using fraction multiplication. 15/1 x 2/3 = 30/3. Simplify that to 10/1 (3 is the common factor and 30/3 = 10 and 3/3 = 1). 10/1 = 10.
can someone plssssssss help me
Answer:quizlet helps
Step-by-step explanation:
a^3/2a^0 simplify pls i need help
Answer:
a^3/2
Step-by-step explanation:
a^3/2a^0
We already know that any value to the zeroth power is 1, so we can start off by rewriting the equation as
a^3/2(1)
We also know that any value multiplied by 1 would result in itself. In this case, 2(1) is 2
Thus, our simplified expression is
a^3/2
2/5 x 7/9 = ( fractions )
Answer:
32/45 is your required answer
Answer:
your answer will be 14/45
Step-by-step explanation:
2/5 × 7/9
= 2 × 7
5 × 9
= 14/45
The table shows the number of
flowers used to create bouquets,
based on the number of bouquets.
Bouquets
Flowers
Bouquets Flowers
3. 27
5 45
8i 72
According to the table given, the rate of change is of 9.
The rate of change is given by the change in the output divided by the change in the input.
In this problem:
The input is the number of bouquets.The output is the number of flowers.Taking two of the points, (3,27) and (5,45), we have that:
[tex]m = \frac{45 - 27}{5 - 3} = \frac{18}{2} = 9[/tex]
Hence, the rate of change is of 9, which would be verified taking any pair of two points.
You can learn more about rate of change at https://brainly.com/question/25823744
Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five. Let f represent the number of dollar bills. Write an expression of the number of nickels.
Answer:
since the number of nickels is 10 so the expression is5+5
The number of nickels is 10 so the expression is n = 3f - 5
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Given that Emma has nickels and five dollar bills in her pocket. The number of nickels is Five less than three times the number of five.
Consider that f represent the number of dollar bills.
The expression "The number of nickels is" is equivalent to "n =";
Also, "three times the number of five dollar bills" is equivalent to "3*f"
"eight less than three times the number of five dollar bills" is equivalent to "3*f - 5"
Then the expression is n = 3f - 5
To know more about an expression follow;
brainly.com/question/19876186
#SPJ2
Can someone help me please
10. Saul works two part-time jobs. Last week, he worked 14 hours at a shoe store, and 19
hours as a telemarketer. His total pay was $240.30. The week before, he made
$300.00 for 19 hours at the shoe store and 22 hours telemarketing. Find his hourly
wage for each job
Answer:
shoe store $7.80/hour
telemarketer: $6.90/hour
Step-by-step explanation:
Let s = hourly salary at the shoe store.
Let t = hourly salary as a telemarketer.
14s + 19t = 240.3
19s + 22t = 300
Multiply both sides of the first equation by 19. Multiply both sides of the second equation by -14. Then add them.
266s + 361t = 4565.7
(+) -266s - 308t = -4200
----------------------------------------
53t = 365.7
t = 6.9
Substitute 6.9 for t in the first equation and solve for s.
14s + 19(6.9) = 240.3
14s + 131.1 = 240.3
14s = 109.2
s = 7.8
Answer:
shoe store $7.80/hour
telemarketer: $6.90/hour
What is 4/5 divied by 2/5
Answer:
2
Have a nice day :D
Answer:
2
Hope this helps
The graph show how many minutes it takes Ziah to run a certain distance in the city What is the constant of proportionality? Write your answer as a decimal
need answer in 5 minutes will give brainliest
Explanation:
The constant of proportionality is the same as the slope for equations of the form y = kx.
To find the value of k, we divide the y over x values.
k = y/x = 12/8 = 1.5
or
k = y/x = 6/4 = 1.5
Either way the answer is 1.5
This means Ziah ran at a rate of 1.5 city blocks per minute.
Pls help plz thank you
Answer:
14, 31, 62
Step-by-step explanation:
11 + 3 = 14
14*2 = 28
28 + 3 = 31
31*2=62
How many sixes are equal to double 27?
Answer:
its not sixes theres 4 sixes equal 24 so there is no answer
Step-by-step explanation:
can i have brainliest pls
Answer:
9
Step-by-step explanation:
Double 27 is 54. 6 times 9 is 54
Question 1
To adopt a dog from an animal shelter, you must pay $80 for vaccinations, $65 to spay or neuter the dog, and $50 for a wellness exam by a veterinarian.
a. Write an expression in the simplest form that represents the amount (in dollars) it costs to adopt x dogs.
b. What does the coefficient of the expression in part (a) represent?
Answer:
1a. 195x
1b. 195
Step-by-step explanation:
1a. To determine the expression, we know that we need to get x amount of dogs and we need to pay $80+$65+$50 for each dog so we would be $195x.
1b. The coefficient of an expression is where a constant is multiplied by a variable and the integer is the coefficient. The integer that is being multiplied by the variable is 195 so 195 is the coefficient
hope this helps!
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