[tex]\dfrac 17 x^2 + 1 = \dfrac 37 x\\\\\implies x^2 +7 =3x~~~;[\text{Multiply both sides by 7}]\\\\\implies x^2 -3x +7 =0\\\\\text{Apply quadratic formula}~ x = \dfrac{-b \pm \sqrt{b^2 -4ac}}{2a}.\\\\\text{In this case ,}~ a =1, b= -3 , c =7\\\\x = \dfrac{-(-3) \pm \sqrt{(-3)^2 - 4(1)(7}}{2(1)}\\\\\implies x= \dfrac{3 \pm \sqrt{-19}}{2}\\\\\implies x =\dfrac{ 3 \pm i\sqrt{19}}2\\\\\\\text{Smaller value of x } =\dfrac{ 3 -i\sqrt{19}}2\\\\\text{Larger value of x } =\dfrac{ 3 +i\sqrt{19}}2[/tex]
max found a car he wants to buy that costs $16,000. He can afford to pay $250 a month for the car. His bank offers him a car loan of 7.3%. The length of his loan should be about 5 years, so he can afford the payments. true or false
Max won't be able to afford the payments.
Since Max found a car he wants to buy that costs $16,000, and he can afford to pay $ 250 a month for the car, and his bank offers him a car loan of 7.3%, and the length of his loan should be about 5 years, to determine if he can afford the payments, the following calculation must be performed:
(16000 x 1.073 ^ 5) / (5 x 12) = X 22,757.187 / 60 = X 379.28 = X
Therefore, each monthly payment will be $ 379.28, so Max won't be able to afford the payments.
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some one plz help!!! due in 10 min
Step-by-step explanation:
since f'(x) = 2f(x) and f(3) has no term of x (so, there must be a constant that eliminates x for x = 3), we get
f(x) = x²/9 × c
c = m×e^n
f(1) = 1/9 × m×e^n = 5
=> m×e^n = 45
f(3) = 9/9 × m×e^n = 45
m = 45
n = 0
Mike makes and sells skateboards. If he has a cost of $6,200 per year plus a cost of $15 per skateboard, how many skateboards must he sell in order to make a profit if each skateboard sells for $35?
Answer: 310
Step-by-step explanation:
35-15= 20
6200 / 20 = 310
Answer:310
Step-by-step explanation:divide 6200 by 20 and it gives you 310
YOU guys can write a story or a situation that can be represented by the given equation.
4a + 5 = 12a - 11
Thank you :)
Answer:
If you have a party and your pizza was split up into 16 pieces, 8 people should be able to have 2 pieces.
Step-by-step explanation:
Eight times a certain number plus ten is equal to twelve times the same number minus seven
A manufacturer is cutting plastic sheets to make rectangles that are 11.125 in. By 7.625 in. Each rectangles length and width must be within 0.005 in. Of the desire size . Write and solve inequalities to find the acceptable range for the length / and the width w
The inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.
length = 11.125 in
width = 7.625 in
Range of value must be less than orequal to 0.005 in
let
l = Length
w = width
Length inequality:
l - 11.125 ≤ 0.005
write as a compound inequality
- 0.005 ≤ l - 11.125 ≤ 0.005
Width inequality:
w - 7.625 ≤ 0.005
write as a compound inequality
- 0.005 ≤ w - 7.625 ≤ 0.005
Therefore, the inequalities to find the acceptable range for the length and the width w are - 0.005 ≤ l - 11.125 ≤ 0.005 and - 0.005 ≤ w - 7.625 ≤ 0.005 respectively.
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What is the value of the expression 6 and 3 over four multiplied by negative 11. 5?.
The value of the expression (6¾) × -11.5 is; -77⅝
We want to find the value of;
(6¾) × -11.5
Let us change 6¾ to improper fraction to get;
27/4
Also,let's change -11.5 to an improper fraction to get; -115/10
Thus;
(6¾) × -11.5 = 27/4 × -115/10
>> (-115 × 27)/(40)
>> 3105/40
>> -77⅝
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Write an equation in slope-intercept form of the line that passed through (-3, 4) and (1. 4)
Answer:
y= 0x+4
Step-by-step explanation:
This is a horizontal line, since both coordinate pairs end in 4, so the slope is 0. The y-intercept is 4 because each point is 4.
A potter makes cups and saucers in a factory. He is paid $1.44 per
batch of cups and $1.20
per
batch of saucers. What is his gross pay if
he makes 9 batches of cups and 11 batches of saucers in one day?
Answer:
4
Step-by-step explanation:
school lunches cost 35.50 per week. About how much would 15.5 week of lunches cost?
Since you go to school for 5 days a week, the answer is going to be 550.25 for 15.5 weeks.
Hope that helped?
Answer:
15.5 weeks of school lunch would cost $550.25
Step-by-step explanation:
The unit rate is already given here, so all you need to do here is multiply the cost per week by the number of weeks. You can even think of it as canceling out the weeks:
[tex]\frac{cost}{week}\times week=cost[/tex]
[tex]35.50\times15.5=550.25[/tex]
15.5 weeks of school lunch would cost $550.25
You could also write this as a linear equation with a slope of 35.5 and a y-intercept of 0:
[tex]y=35.50x[/tex]
Which equation shows a proportional relationship between x and y?
A. y = 3x + 1
B.y= 4x
C.y = -3x - 2
D.y=9
Answer:
A
Step-by-step explanation:
I need help on question 5 - 6 - 7 - 8 - 9 - 10 - 11 - 12 please
Answer:
The solution is given in the photo
Help ME!
Question 1: Evaluate the expression:
2+5⋅8
Question 8: 10÷(3−1⋅2)
Option answers for Question 8: 4, 10, 10/4, and 2.5
Answer:
Q1: 42
Q8: 10
Step-by-step explanation:
PEMDAS
The product of three less than a number and eight is nine
Answer:
[see below]
Step-by-step explanation:
Three less than a number (x) would be: x - 3
"The product of three less than a number and eight" would be 8(x-3).
The product of three less than a number and eight is nine would be:
8(x-3) = 9
[tex]8(x-3) = 9\\\rule{150}{0.5}\\8x - 24 = 9\\\\8x - 24 + 24 = 9 + 24\\\\8x = 33\\\\\frac{8x = 33}{8}\\\\x = \frac{33}{8}[/tex]
Hope this helps.
A pack of cinnamon-scented pencils sells for $6.00. What is the sales tax rate if the total cost of the pencils is $6.42?
Answer:
7%
Step-by-step explanation:
The additional tax is $0.42, we just have to find how much percent the tax ($0.42) is of the original cost ($6.00).
To do this, we can use the following formula:
[tex]\frac{x}{y} = \frac{p}{100}[/tex]
Where x is the part (in this case, the tax ($0.42)), y is the whole (in this case, the original cost ($6.00)), and p being the percent (the tax rate in this case). We can replace the values in:
[tex]\frac{0.42}{6} = \frac{p}{y}[/tex]
We can cross multiply and simplify to find the tax rate:
[tex]0.42y=600\\ y=\frac{600}{0.42} \\ y=0.07[/tex]
We're not done yet! We still need to turn it to percent. But we can do this by just multiplying our result by 100:
[tex]0.07 * 100=7[/tex]
Place the percent sign and we are done.
Hope this helps.
A circle has diameter 18 inches, and a chord is 14 inches long. What is the distance in inches from the chord to the center of the circle, to the nearest hundredth?
Answer:
Let O be the center of a circle whose radius is r cm , in which AB= 14 cm long
cord is at a distanceof 24 cm from O. Draw a perpendicular OD on AB , thus ,
OD= 24 cm.
In right angled triangle. ODB
OB^2 = OD^2+ DB^2
r^2 =(24)^2+(AB/2)^2 = 576+(14/2)^2
r^2 = 576+ 49=625
r = √625. =25 cm. Answer.
Which of the following is the rational exponent expression of 4 square root of f?
OF
Of4
O4f
4
HELPPPPPPPPPPP Asapp
Answer:
B. Kilograms
Step-by-step explanation:
Using the distance formula, find the distance between -52 and 9.
a lakeis 200ft wide. two boats start to move towards one another from opposite shores.In one minute ,the first boat goes 40 ft and the second one goes 30 ft they are very slow! what would be the distance between the boats after 1 minute
The distance between the boats after 1 minute would be 130 ft.
Given that a lake is 200ft wide, and two boats start to move towards one another from opposite shores, and in one minute, the first boat goes 40 ft and the second one goes 30 ft, to determine what would be the distance between the boats after 1 minute the following calculation must be performed:
Total width - boat distance 1 - boat distance 2 = Distance after 1 minute 200 - 40 - 30 = X 130 = X
Therefore, the distance between the boats after 1 minute would be 130 ft.
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what is 72=2x+16x
please please helppppp meeee
Answer:
x = 4
Step-by-step explanation:
72 = 2x + 16x , that is
72 = 18x ( divide both sides by 18 )
4 = x
Answer:
x=4
Step-by-step explanation:
72=18x
72/18=4
x=4
A gear ratio is the ratio of the teeth on the front sprocket and the teeth on the rear sprocket. If a bike has 36 teeth on the front sprocket and 12 teeth on the rear sprocket, what is the gear ratio for the bike?
1
Answer:
The gear ratio is 36 to 12 however it can be simplified to a 6-2 gear ratio.
Answer:
answer was 3
Step-by-step explanation:
just did the test
Can somebody pls help me understand this question? (Give an explanation)
Question:
Below is a graph of 2 lines. Match the line with its slope.
Answer:
l: 1
k: 2
Step-by-step explanation:
The slope of a line is "the amount it goes up divided by the amount it goes right".
So if you pick a point on the line, and then step one grid position to the right, how much does it go up (or down, then you have a negative slope)?
In line l, it goes up one grid position for every step to the right, hence the slope is 1.
In line k, it goes up two positions for every step to the right, hence the slope there is 2.
Hope this explains it.
What is the degree of 3x^4-4x^2?
Answer:
the degree is 4
Step-by-step explanation:
the largest exponent of x
find gain percent when cost price is rs 804 and selling price is rs 1004
Selling Price = 1004r
Cost Price = 804r
1004-804=200r
Gain% = 200/804 · 100 = 20000/804 = 23.80% or 29%
whats the slope of the line that passes through (3,-3) with the slope of 3?
Answer:
y=3x-12
Step-by-step explanation:
Assuming that you're asking what's the equation of the line that passes through (3, -3) with the slope of 3.
y-y1=m(x-x1)
y-(-3)=3(x-3)
y+3=3(x-3)
y=3x-9-3
y=3x-12
75+45+x/69=180
solve for x please :)
Answer: just add 75 and 45 + x and do division for 69 ok but times the 45 with 69 ok good luck
Step-by-step explanation:
I need help solving this
Answer:
what are you trying to solve
Step-by-step explanation:
I'm a coocoo butter cup girl!! hsvshjsvs
Please Help Question in picture
Also could you drop your socials so I can ask a few more questions through dm's im running low on brainly points
Answer:
the coordinates of B are; (7,3)
ILL MARK BRAINLIEST PLEASE HELP! Solve and graph its solution:
In 2005, the average cost of a 32" flat-screen TV was $1,700. In 2015, the average cost of a 32" flat-screen TV was $550. Assuming those were the least and greatest costs during that period, write a compound inequality that describes the cost c of a 32" flat-screen TV between 2005 and 2015.
Answer:x < 1,700. ×> 550
Step-by-step explanation:
Answer:AHHHH
Step-by-step explanation: