Answer:
=
−
±
2
−
4
√
2
x=\frac{-{\color{#e8710a}{b}} \pm \sqrt{{\color{#e8710a}{b}}^{2}-4{\color{#c92786}{a}}{\color{#129eaf}{c}}}}{2{\color{#c92786}{a}}}
x=2a−b±b2−4ac
Once in standard form, identify a, b, and c from the original equation and plug them into the quadratic formula.
5
2
−
7
−
1
8
=
0
5x^{2}-7x-18=0
5x2−7x−18=0
=
5
a={\color{#c92786}{5}}
a=5
=
−
7
b={\color{#e8710a}{-7}}
b=−7
=
−
1
8
c={\color{#129eaf}{-18}}
c=−18
=
−
(
−
7
)
±
(
−
7
)
2
−
4
⋅
5
(
−
1
8
)
Step-by-step explanation:
The solutions to the quadratic equation 5x² - 7x - 18 = 0 are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
What are the solutions to the quadratic equation?Given the quadratic equation in the question:
5x² - 7x - 18 = 0
Compared to the standard form ax² + bx + c = 0:
a = 5, b = -7 and c = -18
To find the solutions to the quadratic equation, we use the quadratic formula:
[tex]x = \frac{-b\±\sqrt{b^2 - 4(ac)} }{2a}[/tex]
Plug in the values and simplify:
[tex]x = \frac{-(-7)\±\sqrt{(-7)^2 - 4(5*-18)} }{2*5} \\\\x = \frac{7\±\sqrt{( 49 +360)} }{10} \\\\x = \frac{7\±\sqrt{ 409} }{10} \\\\x = \frac{7-\sqrt{ 409} }{10}, \frac{7+\sqrt{ 409} }{10}[/tex]
Therefore, the values of x are [tex]\frac{7-\sqrt{ 409} }{10} \ and \ \frac{7+\sqrt{ 409} }{10}[/tex].
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Sarah earns $400 per week and spends 15% of her earnings on transportation. How much does Sarah spend on transportation every week? *
Answer:
60 dollars a week.
Step-by-step explanation:
Just take 15 percent of 400, then you get your answer
You deposit money in an account that pays 5% interest compounded yearly. Find the balance after 5 years for the given initial amount (This is not multiple choice, you need to do a, b, and c)
a. $250
b. $300
c. $350
** Round to the NEAREST whole number**
A $500 snowboard is on sale for 20% off so there is an 8% sales tax Wade has $425 does he have enough to purchase to snowboard yes or no
Answer:
that is$ 160 ok alright jf
Fill in the missing operator where the blank is.
18 _ (-20)= -2
Answer:
26
Step-by-step explanation:
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pls help? :( brainliest if correct
Which two figures have the same number of bases?
A. cylinder and cone
B. triangular pyramid and cone
C. cone and triangular prism
D. triangular pyramid and cylinder
Answer:
Option C is the Correct Answer
Write an equation and solve. If hamburgers cost $4 each, how many can you buy with $12? a. 4x = 12; 3 hamburgers c. 12x = 4; 3 hamburgers b. 12 - 4x = 8; 8 hamburgers d. 4x - 12 = 8; 5 hamburgers Please select the best answer from the choices provided A B C D
Find the sum of the first 59 terms of the arithmetic sequence.
49, 56, 63, 70, ...
What is the sum of the first 59 terms?
Answer:
its 56
Step-by-step explanation:
A shoe store donated a percent of every sale to charity. a the total sales were $9,800 so the store donated $588. What percent of $9,800 was donated to charity?
Answer:
They donated 6%.
Step-by-step explanation:
The total sales were $9800.
The amount donated is $588.
We want to know what percent of 9800 is 588.
Let's make an equation.
what percent of 9800 is 588
x/100 • 9800 = 588
Divide by 9800.
x/100 = 0.06
Multiply by 100.
x = 6
They donated 6%.
Hope this helps!
2. At Best Buy, two flash drives and one new mouse for your
computer cost $55.00. How much does one flash drive cost?
(Mouse cost 22.00)
Answer:
I believe one flash drive would cost $16.50.
Step-by-step explanation:
55=2x+22
-22 -22
33=2x
/2 /2
16.50=x
Hope this helps! Have an Amazing day!!
Express in y=mx+b
3x-2y=8
which are the complementary angles?
Answer:
Two angles are called complementary when their measures add to 90 degrees. Two angles are called supplementary when their measures add up to 180 degrees.
Step-by-step explanation:
please amrk this answer as brainliest
GEOMETRY 10TH GRADE NEED HELP ASAP
[tex] \boxed{(6, -3)} [/tex]
Step-by-step explanation:
Given the ratio 5:3
and Points A and B where A is located at (-6, 3), and B is located at (26, -13).
Let point A be [tex] (x_{1}, y_{1}) [/tex], and let point B be [tex] (x_{2}, y_{2}) [/tex].
(-6, 3) → [tex] (x_{1}, y_{1}) [/tex].
(26, -13) → [tex] (x_{2}, y_{2}) [/tex].
Let 5 be n, and 3 be m.
5:3 → n:m
[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex].
To solve, just substitute these variables into the expressions of these coordinates to get the answer.
[tex] (\frac{nx_{1} + mx_{2}}{n+m}, \frac{ny_{1} + my_{2}}{n + m}) [/tex] →
[tex] (\frac{(5)x_{1} + (3)x_{2}}{(5)+(3)}, \frac{(5)y_{1} + (3)y_{2}}{(5) + (3)}) [/tex] →
[tex] (\frac{(5)(-6)+ (3)(26)}{(5)+(3)}, \frac{(5)(3)+ (3)(-13)}{(5) + (3)}) [/tex] →
[tex] (\frac{-30 + 78}{8}, \frac{15+ -39}{8}) [/tex] →
[tex] (\frac{78 – 30}{8}, \frac{15 – 39}{8}) [/tex] →
[tex] (\frac{48}{8}, \frac{-24}{8}) [/tex]
→
[tex] (\frac{6}{1}, \frac{-3}{1}) [/tex]
→
[tex] (6, -3) [/tex].
Thus the coordinates of B are:
[tex] \boxed{(6, -3)} [/tex]
Answer:
Step-by-step explanation:
AB:BC::5:3
let the coordinates be (x,y)
[tex]x=\frac{nx1+mx2}{m+n} \\=\frac{3(-6)+5(26)}{5+3} \\=\frac{-18+130}{8} \\=\frac{112}{8} \\=14\\y=\frac{ny1+my2}{m+n} \\=\frac{3(3)+5(3)}{5+3} \\=\frac{9+15}{8} \\=\frac{24}{8} \\=3\\[/tex]
coordinates of B are (14,3)
help asap!! i’ll give brainliest!
Answer:
-4a
Step-by-step explanation:
What two numbers multiply to get 3 and add to get 6
Answer:
3
Step-by-step explanation:
I need this ASAP PLZ...helpp ...i will give brainlies to the correct answer
The line y=2x+5 would pass through which of the following points?
A(0,2)
B. (0,10)
C. (0,5)
D. (0,7)
Answer:
C: (0, 5)
Step-by-step explanation:
The x-coordinates are all the same: 0. In y = 2x + 5, the 2x term would be zero in all those cases, leaving only the y-intercept (5).
We conclude that the line would pass through (0, 5), which is the y-intercept.
No links please. Help
Answer:
C :D
Step-by-step explanation:
Answer:
3 3/4 cubic inches
Step-by-step explanation:
2 1/2 × 1 1/2 × 1= 3 3/4
[tex]l*w*h=v[/tex]
HELP ME PLEASEE Select all of the following that could be classified as a Perfect Square Trinomial.
Son el B el C y el E
The question is in the png
Answer:
2 and 4 only
Step-by-step explanation:
hope it helped!!!
Carlos deposits $250 into a savings account that earns 4% interest added to it annually. How much interest is added at the end of the year?
The O’Neill Raiders fundraiser has raised $700, which is 28% of their total fundraising goal. What is their total goal?
Sameer scored better than 78% of all students taking a standardized exam. If 650 students took the exam, how many did Sameer score better than?
The interest added at the end of the year is $10, The total goal of O’Neill Raiders fundraiser is $2500 and Sameer scored better than 507 students.
What is Percentage?Percentage is the parts of a number per fraction of 100. We can divide a number with it's whole and then multiply with 100 to calculate the percentage of any number.
Initial amount, P = $250
Rate of interest, r = 4% = 0.04
Interest amount = P × r × t, where t is the number of years = 1 here.
= 250 × 0.04 × 1
= $10
28% of the total fundraising goal = $700
Let x be the total fundraising goal.
28% × x = 700
0.28x = 700
x = 700 / 0.28 = $2500
Total number of students = 650
Sameer scored better than 78% of all students.
Number of students that Sameer scored better = 78% × 650
= 0.78 × 650
= 507
Hence all the answers are found.
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The Jacksons are taking out a $35,000 loan to remodel their home. The tables below show the rates for a 1-year and 5-year loan from two different lenders. Complete each table to calculate the total repayment and interest paid for each loan offer.
Answer:
look at the screenshot
Step-by-step explanation:
look at the screenshot
The table for total repayment and interest paid for each loan offer:
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
What is simple interest?Simple interest is an amount which is calculated for a certain period of time and for a certain rate, in simple interest calculation there are three factors which we consider: principal amount(P), rate(R) and time(T).
Formula; Simple Interest(I) = P × R × T/100
For the 1-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest = $35,000 + (0.065 x $35,000)
= $37,275
Total interest paid = $37,275 - $35,000
= $2,275
For the 5-year loan, the total repayment and total interest paid can be calculated as follows:
Total repayment = Principal + Interest
= $35,000 + (0.082 x $35,000 x 5)
= $41,570
Total interest paid = $41,570 - $35,000 = $6,570
Loan offer Interest rate Total repayment Total interest paid
1-year loan 6.5% $37,275 $2,275
5-year loan 8.2% $41,570 $6,570
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i need help with 6 and 7! please help asap!! and explain why
Answer: I would say 6 its a function and 7 its not because in number seven the x value repeats so it can't be a function and number 6 the x-value its not the same
Step-by-step explanation: When the x-value repeats its not a function if the y-value repeats it doesn't matter
Which polynomial is equivalent to 4n + 5^2
Answer:
16n^2+40n+25
Step-by-step explanation:
a box of breakfast tacos coat $12 and a contains 8 tacos how much dose each taco coast
Answer:
$1.50
Step-by-step explanation:
12/8 = 1.50
Answer:
each taco cost $1.50
Step-by-step explanation:
12÷8=1.50Pleasseee I’ll give BRAINLIEST
Answer:
It’s the third option
Step-by-step explanation:
Cuz 4^2 - 2^2 equals the third option
The radius of a baseball is approximately 2.5 inches. What is its volume?
Answer:Below
Step-by-step explanation:
A baseball is round.
So, the diameter and the height are the same.
The radius is half of the diameter, so: 2.5 x 2 = 5
The height is also 5.
The Volume is 65.45
Answer:
Step-by-step explanation:
The Volume is 65.45
Shelly's age plus Mary's age is less than 36. Mary is 15 years old. Write the equation thatrepresents the problem.
sorry I answered wrongly
Answer:
Shelly's age is less than 21
Step-by-step explanation:
S+15 < 36
S < 21
On a hospital floor, 16 patients have a disease with a mortality rate of 0.1. Find the probability that two of them die. Round to three decimal places
Answer:
The probability that two of them
die is 0.257
Step-by-step explanation:
From the question, we have that the mortality rate is 0.1
So the probability that they will survive is 1-0.1 = 0.9
Now, we want to check that two will die
We are going you use the Bernoulli approximation of the Binomial theorem as follows
= nCr * p^n * q^(n-r)
where n = 16
r = 2
P = 0.1
q = 0.9
Substituting these values;
14 C 2 * 0.1^2 * 0.9^12
= 0.257
"-2=2" what does this mean
Step-by-step explanation:
i think it means that when negative tow crosses the equal sign, as in a calculation,it becomes positive
eg. -2 +z=0
z =2
Answer:
Negative two is equal to negative two
Step-by-step explanation:
Kinda confused as to why you do not understand that expression...
Determine the distance, in units, from (−4,−7) to (4,8).
Answer:
17
Step-by-step explanation:
√(x2 - x1)² + (y2 - y1)²
√[4 - (-4)]² + [8 - (-7)]²
√(8)² + (15)²
√64 + 225
√289
=17