Answer:
-6.13406 and 61.13406
Step-by-step explanation:
x + y = 55
x × y = -375
y = 55 - x
x × (55 - x) = -375
55x -x² = -375
x² - 55x - 375 = 0
solution of a quadratic equation :
x = (-b ± sqrt(b² - 4ac))/(2a)
a=1
b=-55
c=-375
x = (55 ± sqrt(55² + 4×375))/2 = (55 ± sqrt(4525))/2 =
= (55 ± sqrt(25 × 181))/2 = (5×11 ± 5×sqrt(181))/2 =
= 5/2 × (11 ± sqrt(181)) =
= 61.13406... or -6.13406...
y = 55 - 5/2×(11 ± sqrt(181)) = 55/2 ± 5/2×sqrt(181) =
= -6.13406... or 61.13406...
A fitness club offers two membership plans.
Plan A: $30 per month
Plan B: $18 per month plus $2 for visit for each visit to the club
a) graph the linear system. When would the cost of the two membership plans be the same
B) describe a situation under which you would
Choose each plan
Help please
Math help please show all work thank you !
9514 1404 393
Answer:
W = 55°X = 125°Y = 110°Z = 70°Step-by-step explanation:
Corresponding angles in similar figures are congruent. Corresponding angles are listed in the same order in the similarity statement.
∠A = ∠W = 55°
∠B = ∠X = 125°
∠C = ∠Y = 110°
∠D = ∠Z = 70°
Find the slope between (2, 10) and (9, 1). Substitute in the following numbers that are missing
Answer:
Rise (1-10)=-9
Run=(9-2)=7
Step-by-step explanation:
The slope is Rise/Run = -9/7
What's the equation? Week (w) 0 1 2 3 4 5 6 7 8 Infected (I) 1 2 4 8 16 32 64 128 256
Answer:
The Equation Is - Week(n) = [tex]2^{n}[/tex] (infected)
Step-by-step explanation:
Now We Have to just Put The Value Of 'n'.
Week(0) = 1
Week(1) = 2
Week(2) = 4
Week(3) = 8
Week(4) = 16
and so on.
How many types of triangles are there?
Answer:
there are 6 type of tryingle hope it helps
1. Find the sum of the measures of the interior angles of a convex hexagon.
a. 900°
b. 1080°
c. 720°
d. 1440°
Answer:
could you include a pic please?
Samantha earned $15 per hour. After a raise, she now earns $16.50 per hour. What is the percent increase of Samantha’s wages?
Answer:
1.5 percent I 5hink 9ook
Can someone check tell me why 1) is correct and why 2) is incorrect?!
Willing to give brainliest
Answer:
1) yes
2) no
Step-by-step explanation:
1)
[tex]\frac{1}{2} *\frac{2}{2}=\frac{2}{4}[/tex]
This is correct because 1 time 2 equals 2 and 2 times 2 equals 4.
2)
[tex]\frac{1}{2} * \frac{?}{?}= \frac{4}{6}[/tex]
[tex]\frac{1}{2} *\frac{4}{3} =\frac{4}{6}[/tex]
This is incorrect because the numerator multiplied is different from the denominator multiplied.
-------------------------------
[tex]\frac{1}{2}[/tex] = [tex]\frac{2}{4}[/tex] = [tex]\frac{3}{6}[/tex] = [tex]\frac{4}{8}[/tex] = [tex]\frac{5}{10}[/tex] = [tex]\frac{6}{12}[/tex] ...
Sorry I didn't know how to explain that much but I hope you understand.
$70,000 - 17 1/2 % .
if i get this right i get the iphone xr
Answer:
$57750
Step-by-step explanation:
$70,000 - 17.5%
17.5 % = .175
.175 * $70000 = $12250
$70000 - $12250 = $57750
In a group of 33 pupils, 9 play the flute only.
8 play the piano only.
11 play neither instrument.
A student is selected at random.
What is the probability the student plays both instruments?
Answer:
ans: 5
Step-by-step explanation:
use the set theory to solve it,
CAN SOMEONE HELP ME WITH THIS PLEASE AND THANK YOU.
Answer:
six and one over twelve
Step-by-step explanation:
1/4 + 5 5/6=1/4+35/6 = 6 1/12
step 3 35
6
step 4 answer = 35
6
Larry deposits $1,500 in a savings account. How much interest would accrue after 10 years at a 2.5% rate?
Answer:
6000 dollar store for the day of a rectangle
Answer:
if its simple interest: $375 in interest, so he would have $1875 in total
if its compound interest: $420.13 in interest, so he would have $1920.13 in total
Step-by-step explanation:
I=Prt for simple interest, where I is interest, P is principle or the original amount, r is the interest rate, and t is the amount of time.
but compound interest adds on to the total instead of the initial savings so its more complicated
Un capital de S/. 42.000 colocado a una tasa de interés del 7% capitalizable anualmente, ¿en cuántos meses produce un interés de S/. 8 700?
Answer:
Se requiere 34 meses para producir un interés de 8700 soles.
Step-by-step explanation:
Asumamos que el capital aumenta conforme a una tasa de interés compuesto, cuya fórmula se describe aquí abajo:
[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex] (1)
Donde:
[tex]C_{o}[/tex] - Capital inicial, en soles.
[tex]C[/tex] - Capital actual, en soles.
[tex]r[/tex] - Tasa de interés mensual, en [tex]\frac{1}{a}[/tex].
[tex]t[/tex] - Período de capitalización, en años.
Si sabemos que [tex]C_{o} = 42000[/tex], [tex]C = 50700[/tex] y [tex]r = 7\,\frac{\%}{a}[/tex], entonces el período de capitalización es:
[tex]C = C_{o}\cdot \left(1 + \frac{r}{100} \right)^{t}[/tex]
[tex]\frac{C}{C_{o}} = \left(1 + \frac{r}{100}\right)^{t}[/tex]
[tex]\ln \frac{C}{C_{o}} = t\cdot \ln \left(1 + \frac{r}{100}\right)[/tex]
[tex]t = \frac{\ln C - \ln C_{o}}{\ln \left(1+\frac{r}{100} \right)}[/tex]
[tex]t = \frac{\ln 50700 - \ln 42000}{\ln \left(1+\frac{7}{100} \right)}[/tex]
[tex]t = 2.782\,yr[/tex]
Es decir, se requiere 34 meses para producir un interés de 8700 soles.
what is the numeriacal value of 3x +2y -5xy when x=2 and y=3?
Answer:
- 30
Step-by-step explanation:
3x + 2y - 5xy
3(2) - 2(3) - 5((2)(3))
6 - 6 - 30
6 - 6 - 30
- 30
The point (4, -8.5) is reflected across the y axis on a coordinate plane to create a new point. What is the distance between the two points in units.
Answer:
8units
Step-by-step explanation:
If the coordinate (x,y) is reflected over the y axis, the resulting coordinate will be (-x, y)
For the coordinate (4,-8.5), the resulting point after reflection will be (-4, -8.5)
Using the distance formula;
D = √(x₂-x₁)²+(y₂-y₁)²
D = √(-8.5+8.5)²)²+(-4-4)²
D =√(-8)²
D = √64
D = 8
Hence the required distance is 8units
The picture is above I’ll mark as brainliest.
Answer:
22
Step-by-step explanation:
P=(8*2)+(3*2)
16+6=22
Answer:
22 inches
Step-by-step explanation:
Perimeter = 8 + 3 + 8 + 3
= 22 inches
Please help!
A circle is defined by the equation below:
x^2 + y^2 - x - 2y - 11/4 = 0
What are the coordinates for the center of the circle and the length of the radius?
Answer:
Step-by-step explanation:
We know that the equation of a circle is:
(
x
−
a
)
2
+
(
y
−
b
)
2
=
R
2
where a and b are the coordinates of the center, and R is the radius.
So in this question we have to complete the squares:
x² + y² - x - 2y - 11/4 = 0 ->
x² - x + 1/4 + y² - 2y = 11/4 +1/4 ->
(x - 1/2)² + y² - 2y + 1 = 12/4 + 1 ->
(x - 1/2)² + (y - 1)² = 4
Therefore, the coordinates of the center are C = ( 1/2, 1) and the Radius is R = 2
x² + y² - x - 2y - 2³/₄ = 0
x² + y² - x - 2y = 2³/₄
x² - x + y² - 2y = 2³/₄
(x² - x + 1) + (y² - 2y + 4) = 2³/₄ + 1 + 4
(x - 1)² + (y - 2)² = 7³/₄
The coordinates for center of the circle is equal to (1, 2). The coordinates of the length of the radius is √(³¹/₄).
Given the functions f(x) = 2x – 1 Tand g(x) = 2x + 4, which operation results in the largest coefficient on the x term
Multiplication.
Step-by-step explanation:Given functions:
f(x) = 2x - 1
g(x) = 2x + 4
Let's perform some basic arithmetic operations on them to see which will result in the largest coefficient of the x term
i. Addition.
f(x) + g(x)
(2x - 1) + (2x + 4)
2x - 1 + 2x + 4
4x + 3
Here, the x term has a coefficient of 4
ii. Subtraction
f(x) - g(x)
(2x - 1) - (2x + 4)
2x - 1 - 2x - 4
-5
Here, the x term does not exist or has a coefficient of 0
iii. Multiplication.
f(x) * g(x)
(2x - 1) * (2x + 4)
4x² + 8x - 2x - 4
4x² + 6x - 4
Here, the x term has a coefficient of 6
iv. Division
Division is not exactly applicable here since there are not terms cancelling out.
Therefore, the multiplication operation will result in the largest coefficient on the x term with the coefficient being 6
In a grade seven class, 18 students have pets, and 12 do not. What percent of the class has a pet?
I will mark brainliest to the first correct answer
urgent pls
The area of Ray’s rectangular living room, in square feet, can be found by using the expression 4(3x+3y). Use the distributive property to write an equivalent expression for the area of Ray’s living room. Equivalent Expression Use your equivalent expression to find the area of Ray’s living room, in square feet, if x = 2 and y = 4. Write answer here: square feet Show work
Answer:
Area = 72 square feet
Step-by-step explanation:
[tex]4(3x+3y)[/tex]
Multiply the four to the values inside the parentheses to find the "equivalent expression"
[tex]12x +12y[/tex]
Using the "equivalent expression" we found above, we now want to find the area of Ray's living room, in square feet if [tex]x=2[/tex] and [tex]y = 4[/tex]
[tex]12(2) + 12(4)[/tex]
[tex]= 24 +48[/tex]
[tex]= 72[/tex]
The speed of an airplane is 1,240 km per hour. Find the distance covered by the airplane in
3 hours and 20 minutes. Also, express the distance in scientific notation.
Answer:
the answer is 4133.33...km
Explaination:
Distance = speed x time
Distance = 1240 x 10 / 3 = 4133.33... Km
Which ordered pair is the best estimate for the solution of the system of equations?
y=32x+6
y=14x−2
(−7, −3.5)
(−7, −4)
(−6.5, −3.5)
(−6, −3)
Answer:
x=-4/9, y=-74/9.
Step-by-step explanation:
y=32x+6
y=14x-2
-----------
32x+6=14x-2
32x-14x+6=-2
18x+6=-2
18x=-2-6
18x=-8
x=-8/18
simplify
x=-4/9
y=14(-4/9)-2=-56/9-2=-74/9
A furniture maker has two pieces of wood. One is 48 inches long, and the other is 64 inches long. The wood needs to be cut into pieces of equal length with no wood left over. What is the greatest possible length the furniture maker can cut each piece of wood?
A) 24 inches
B) 16 inches
C) 12 inches
D) 8 inches
Answer:
Step-by-step explanation:
16
According to the Bureau of Labor Statistics, healthcare occupations is projected to grow from approximately 13.6 million jobs in 2018 to about 15.5 million jobs in 2028. Healthcare occupations are projected to add more jobs than any of the other occupational groups. This projected growth is mainly due to an aging population, leading to greater demand for healthcare services.
Answer:
The correct answer is "14%".
Step-by-step explanation:
Given:
Jobs in 2018,
= 13.6 million
Jobs in 2028,
= 15.5 million
Now,
In healthcare occupation, the projected percent increase will be:
= [tex]Increase \ in \ jobs\times \frac{100}{No. \ of \ jobs \ in 2018}[/tex]
By putting the values, we get
= [tex](15.5-13.6)\times \frac{100}{13.6}[/tex]
= [tex](1.9)\times \frac{100}{13.6}[/tex]
= [tex]13.97[/tex] (%)
or,
= [tex]14[/tex]%
Answer:
its 14
Step-by-step explanation:
i got it right
work out 37.56 divided by 12 and show working out
[tex]\longrightarrow{\green{3.13}}[/tex]
[tex]\sf \bf {\boxed {\mathbb {Step-by-step\:explanation:}}}[/tex]
[tex] \frac{37.56}{12} [/tex]
➺ [tex]\:3.13[/tex]
[tex]\bold{ \green{ \star{ \orange{Mystique35\:ヅ}}}}⋆[/tex]
Answer:
3.13
Step-by-step explanation:
sorry that is All what I can say please don't be mad at me
Find the circumference of circle L. Write your answer as a decimal, rounded to the nearest hundredth.
write 12/16 as a fraction in simplest form . Then write the equivalent decimal and percent. Show your work.
simple form
decimal
Percent
Answer:
3/4, 0.75, 75%
Step-by-step explanation:
[tex]\frac{12}{16}[/tex]
divide top and bottom by 4
[tex]\frac{3}{4}[/tex]
Write an equation of the parabola that passes through the point (46, - 150) and has x-intercepts - 4 and 56 . Then find the average rate of change from x= -4 to x=6.
An equation is y =
The average rate of change is
Answer:
6w83ywytahausjsshshfwgwyee
3 A(3, 1 1/2), B(- 5, - 3) and C(7, - 2) are the vertices of triangle ABC. What are the coordinates of M, the midpoint of BC and of Q, the midpoint of AM?
A ship goes at the rate of (3m-2) knots per hour. How far can it travel in (4m+9) hours?
Answer: [tex]12m^2+19m-18[/tex]
Step-by-step explanation:
Given
Speed of boat [tex]v=3m-2\ \text{knots per hour}[/tex]
[tex]\text{time t= }4m+9\ \text{hours}[/tex]
[tex]\Rightarrow \text{Distance =speed}\times \text{time}[/tex]
[tex]\Rightarrow \text{Distance d=}(3m-2)\cdot (4m+9)\\\Rightarrow d=12m^2+19m-18[/tex]