Answer:
answer below
Step-by-step explanation:
equation with a negative discriminant: negative number under the square root
1. will produce imaginary number "i"
2. the function will get two complex solutions
If 18 is subtracted from twice the square of an integer, the result is equal to nine times the integer. What is the value of the integer?
Answer:
6 or -1.5
Step-by-step explanation:
We can let this integer be x.
Therefore, according to the question we have:
[tex]2x^2-18=9x[/tex]
Subtracting 9x, we have a quadratic:
[tex]2x^2-9x-18=0[/tex]
Plugging into the quadratic equation:
[tex]\frac{9+\sqrt{81+144}}{4}, \frac{9-\sqrt{81+144}}{4},[/tex]
the square root of 81+144 is 15, so the answer is either 6 or -1.5
A salesperson earns a commission of $308 for selling $ 2200 in merchandise. Find the commission rate.
Answer:$247
Step-by-step explanation
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!
Find the slope of the line.
Ay
6
-2, 4)
(
4
2
(2, 2)
-4
-2
2
4
Х
-2
4
The slope is
Answer:
-1/2 is the slope of the graph.
50% of 70
help! I don’t understand!!
Answer:
The answer is 35.
Step-by-step explanation:
50% means half of a number.
For example, 50% of 20 is 10, because half of 20 is 10.
In this situation, the number is 70.
Do 70 divided by 2.
The answer is 35.
Answer : 50% can be written as .50, so to get 50% of 70, you just need to multiply 70 by .50. This will give you 35. (The answer.)
Step-by-step explanation:
Any percent can be written as a decimal. Move the decimal point two places to the right to convert a percent to a decimal. For example, 25% to .25 and 50% to .50.
You work for a consumer advocacy agency and want to estimate the populations means cost of monthly maintenance on a car. It is assumed that the average monthly cost of maintenance is $210 dollars. In a random sample of 100 cars, you find the average monthly maintenance cost was $185. Assume that the population standard deviation is known to be $125; Use a 0.03 significance level to test the claim that the population mean weight of cost of maintenance differs from 210 lbs. State the null and alternate hypothesis test
A) H0: μ≤185
Ha: μ>185
B) H0: μ≥210
Ha: μ<210
C) H0=210
Ha: μ=185
D) H0: μ=210
Ha: μ ≠ 210
According to the desired test, the hypothesis are given by:
D) H0: μ=210
Ha: μ ≠ 210
At the null hypothesis, it is tested if the population mean is of 210 lbs, that is:
[tex]H_0: \mu = 210[/tex]
At the alternative hypothesis, it is tested if the population mean differs from 210 lbs, that is:
[tex]H_a: \mu \neq 210[/tex]
Hence, the correct option is:
D) H0: μ=210
Ha: μ ≠ 210
A similar problem is given at https://brainly.com/question/25707631
Please help me with this problem. I'm kind of stuck and don't know what to do.
Try this option:
1) if csc(u)=9, then 1/sin(u)=9 and sin(u)=1/9;
2) if sin(u)=1/9, then cos(u):
[tex]cos(u)=\sqrt{1-sin^2(u)}=\sqrt{1-\frac{1}{81}}=\frac{4\sqrt{5}}{9};[/tex]
3) [tex]if \ sin(u)=\frac{1}{9} \ and \ cos(u)=\frac{4\sqrt{5}}{9}, then[/tex]
[tex]sin(2u)=2sin(u)*cos(u)=\frac{8\sqrt{5}}{81};[/tex]
[tex]cos(2u)=cos^2(u)-sin^2(u)=\frac{80}{81}-\frac{1}{81}=\frac{79}{81};[/tex]
[tex]tan(2u)=\frac{sin(2u)}{cos(2u)}=\frac{\frac{8\sqrt{5}}{81}}{\frac{79}{81} }=\frac{8\sqrt{5}}{79}.[/tex]
What’s is log17 divided by 4
Answer:
log(17 1/4)
Step-by-step explanation:
Tomatoes that regularly sell for $0.55 per pound are on sale for 20% off the regular price. What is the sale price?
[6x(5-3)+9]-5 with step by step
Answer: 10
Step-by-step explanation: [30-24+9]=15-5=10
The answer after calculation the given expression using PEDMAS rule: [6x(5-3)+9]-5 is 16.
What is the answer using PEDMAS?The given expression, [6x(5-3)+9]-5, can be simplified using the order of operations, also known as PEDMAS P – Parenthesis First: B – Brackets First
E – Exponents
D – Division
M – Multiplication
A – Addition
S – Subtraction
First, we evaluate the expression inside the bracket: 5-3, which equals 2. Substituting this result back into the expression, we have [6x2+9]-5.
For the next step, we perform the multiplication operation. Multiplying 6 by 2 gives us 12. Now our expression becomes [12+9]-5.
Moving on to addition, we add 12 and 9, resulting in 21. Our expression now becomes [21]-5.
Finally, we subtract 5 from 21, which gives us 16. Thus, the value of the expression [6x(5-3)+9]-5 is 16.
Read more about PEDMAS here: https://brainly.com/question/345677
#SPJ6
Which variable expression represent the word phrase? The sum of 10 and the product of 7 and a number
Answer:
Step-by-step explanation:
y = 7x + 10
slope-intercept form of a linear equation
Solve.
Write an expression for the total cost (in dollars) of Sam's purchase if he buys x candies costing 39 cents each and y bars of chocolate cost $1.25 each.
a. (0.39 + x) ∙ (1.25 + y)
b. 0.39x + 1.25y
c. 1.64(x + y)
d. 39x + 1.25y
Answer:
the answer to the question is c
Which of the following rules represents the function shown in the table?
f(x)=n+3
f(x)=3n
f(x)=1/3n
Answer:
f(x)=3n
Step-by-step explanation:
We can see it goes x=2 to y=6 this has been times by 3, x=-1 to y=-3 also times by 3 and x=0 y=0 0x3=0
HELp PLeaSE ‼️‼️URGENT
Find the equation of the line of best fit for the points (-4, 10).(-1, 5), (2, -1) (3, (5, --- 7). O
A. y = -2x + 2
B. y = 2x - 2
C. y = 2x - 0.98
D. y = -2x - 0.98
THANKS ^_^ ! ! !
Find the sides, and the value of x and y.
Answer:
[tex]\huge\boxed{x=15;\ y=4}[/tex]
Step-by-step explanation:
Proportion:
[tex]\dfrac{x}{18}=\dfrac{5}{6}\qquad|\text{cross multiply}\\\\(x)(6)=(18)(5)\\\\6x=90\qquad|\text{divide both sides by 6}\\\\\huge\boxed{x=15}[/tex]
[tex]\dfrac{y}{5}=\dfrac{12}{x}[/tex]
substitute x = 15:
[tex]\dfrac{y}{5}=\dfrac{12:3}{15:3}\\\\\dfrac{y}{5}=\dfrac{4}{5}\qquad|\text{cross multiply}\\\\(y)(5)=(5)(4)\\\\5y=20\qquad|\text{divide both sides by 5}\\\\\huge\boxed{y=4}[/tex]
How much larger is 8 x 10^8 compared to 2 x 10^5?
О 4 times larger
O 40 times larger
O 400 times larger
O 4,000 times larger
What is the gradient of the graph shown?
Give your answer in its simplest form.
Answer:
[tex]\displaystyle m = \frac{-1}{3}[/tex]
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra I
Coordinate Planes
Coordinates (x, y)Slope Formula: [tex]\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Step-by-step explanation:
Step 1: Define
Identify points from given graph.
Point (0, -1)
Point (-3, 0)
Step 2: Find slope m
Simply plug in the 2 coordinates into the slope formula to find slope m.
Substitute in points [Slope Formula]: [tex]\displaystyle m = \frac{0 - -1}{-3 - 0}[/tex][Order of Operations] Evaluate: [tex]\displaystyle m = \frac{1}{-3}[/tex]8. Lara invested a total of $1000 in two simple interest accounts. Account A pays
5% annual interest while Account B, pays 6% annual interest. The total interest
she earned after one year was $58. How much did she invest in each account?
Answer:
$200 at 5%$800 at 6%Step-by-step explanation:
Let x represent the amount invested at the higher rate. Then 1000-x is the amount invested at the lower rate. The total earnings are ...
0.05(1000-x) +0.06x = 58
50 +0.01x = 58 . . . . . . . . . . . simplify
0.01x = 8 . . . . . . . . . . . . . . . subtract 50
x = 800 . . . . . . . . . . . . . . . multiply by 100; amount at 6%
(1000-x) = 200 . . . . . . . find the amount invested at 5%
Lara invested $200 at 5% and $800 at 6%.
Please help meee! I will give brainlist to quickest answer !!!
What is the equation of this graphed line?
Answer:
You said quick so here it is
[tex]y-6=2(x-2)[/tex]
Help me plz NO LINKS
Thanks
Answer:
please I am tired texting and answering questions.
Is the inequality 5-x^2<4 true for x=1?
5 - x² < 4
- x² < 4 - 5
- x² < - 1
=》x² < 1
Now, let's check with x = 1
x² < 1
(1)² < 1
1 < 1
1 is not less than or greater than 1. They are equals. So, the inequality 5 - x² < 4 is NOT true for x = 1.
_____
Hope it helps ⚜
A car travels 108 miles on 8 gallons of gas. Find the distance the car can travel on 25 gallons of gas.
337.5 miles, or 337 miles!
Answer: It will be able to travel 162 miles
Step-by-step explanation:
Lisa has $200 in her savings account. This is 40% of the money she needs to take a weekend trip. What is the total cost of the trip she wants to take?
The total cost of the trip Lisa wants to take over the weekend is $500.
Let the total cost of the trip be T.Given the following data:
Savings account balance = $200Percent of trip expenses = 40%To determine the total cost of the trip Lisa wants to take over the weekend:
Since the percentage of the money in Lisa's savings account is equal to forty percent (40%) of what is required for the total cost of the trip. Thus, we would multiply the total cost of her trip by 40% and equate it to $200.
Total cost of her trip:
[tex]\frac{40}{100} \times T = 200\\\\0.4T=200\\\\T=\frac{200}{0.4}[/tex]
Total cost, T = $500.
Read more: https://brainly.com/question/2021001
Simplify |x| - |-x|.
Answer:
0
Step-by-step explanation:
Two cases: if [tex]x\ge0[/tex]
[tex]|x| - |-x| = x - x= 0[/tex]
Instead if [tex]x<0[/tex]
[tex]|x| -|-x| = -x -(-x)=-x+x=0[/tex]
Alternatively you can try to graph both [tex]f(x) = |x|; g(x)=|-x|[/tex] and checking the vertical distance between the two graphs
Lola is in the process of forecasting the sales growth rate for an early-stage venture specilizing in the production of durable running shoes. Lola predicts a 0.15 probability of an 85% growth in sales, a 0.2 probability of a 20% growth in sales, a 0.45 probability of a 10% growth in sales, nd a 0.20 probability of a 20% decrease in sales. What is the expected sales growth rate of the venture?
Answer:
Step-by-step explanation:
Expected growth = 0.15*85 + 0.20 *20 + 0.45*10+0.20 * -20
= 17.25%.
Based on the data given in the frequency table below, does a greater percent of eleventh
or twelfth graders surveyed like tennis? Use conditional relative frequencies to support
your answer.
Like Tennis
Grade
Yes
No
Total
Eleventh
45
50
95
Twelfth
62
28
90
Total
107
78
185
Rounded to the nearest thousandth, the conditional relative frequency that an eleventh
grader likes tennis is
Rounded to the nearest thousandth, the conditional relative frequency that a twelfth
grader likes tennis is
Since
% is less than %, a greater percent of (select)
like tennis.
Answer: the answers vary since mine and urs are different, so these are my answers: 0.48, 0.63, 48, 63, twelth graders. youll have too think about it a lil bit, sry
Mark brainliest pls and also look at picture if u don't understand
Step-by-step explanation:
Yw :) :D
Stop looking up answers on brainly
10+8x > 2 Solve each inequality
Answer:
x>-1
Step-by-step explanation:
8x>2-10
8x>-8
x>-1
Answer:
x>-1
interval notation: (-1,infinty)
10 minus one third of a number is 4
Answer:
x = 18
Step-by-step explanation:
10 - x/3 = 4
=> - x/3 = -6
=> -x = -18
=> x = 18
Hoped this helped.
Answer: 18
Step-by-step explanation:
10 -1/3y = 4
1/3y = 10 - 4
1/3y = 6
y = 6 x 3 = 18
Which of the following is the decimal counterpart of the binary number 10012? a. 9 b. 10 c. 11 d. 12
Answer:
maybe it's 12 but i don't know...
A pair of pants costs $24.60 when it is on sale for 25% off. What was the
original cost of the pants? (still....no labels!)
well, we know the pants are 25% off, that means the current sale price is only 75% of the original price, say the original price is "x" or 100%. So we know that $24.60 is 75%, what is the 100%?
[tex]\begin{array}{ccll} amount&\%\\ \cline{1-2} 24.6&75\\ x&100 \end{array}\implies \cfrac{24.6}{x}=\cfrac{75}{100}\implies \cfrac{24.6}{x}=\cfrac{3}{4} \\\\\\ 98.4=3x \implies \cfrac{98.4}{3}=x\implies 32.8=x[/tex]