Answer:
1/805
Step-by-step explanation:
4/3220 = 1/805 = 0.00124223....
Solve the equations below. Give exact solutions only. Show your work.
a) 5x^2 - 7 = 72
b) x(x + 2) = 5
c) 3x^2 + 2x - 4 = 0
Please help!
Step-by-step explanation:
remember, the general formula to solve a quadratic equation ax² + bx + c = 0 is
x = (-b ± sqrt(b² - 4ac))/(2a)
a)
I think there is a typo, and this should be
5x² - 7x = 72
5x² -7x - 72 = 0
x = (7 ± sqrt(49 - -1440))/10 = (7 ± sqrt(1489))/10
x1 = (7 + sqrt(1489))/10
x2 = (7 - sqrt(1489))/10
b)
x(x + 2) = 5
x² + 2x - 5 = 0
x = (-2 ± sqrt(4 - -20))/2 = (-2 ± sqrt(24))/2 =
= (-2 ± sqrt(4×6))/2 = (-2 ± 2×sqrt(6))/2 =
= -1 ± sqrt(6)
x1 = -1 + sqrt(6)
x2 = -1 - sqrt(6)
c)
3x² + 2x - 4 = 0
x = (-2 ± sqrt(4 - -48))/6 = (-2 ± sqrt(52))/6 =
= (-2 ± sqrt(4×13))/6 = (-2 ± 2×sqrt(13))/6 =
= (-1 ± sqrt(13))/3
x1 = (-1 + sqrt(13))/3
x2 = (-1 - sqrt(13))/3
Dan is using tiles to add - 8 +6. He begins with the tiles shown below.
OOOOOOOO
What is the sum of -8+6?
0-14
-2
02
14
Answer:
-2
Step-by-step explanation:
PT. 4 OF MY HW! STILL UNIT RATE
Answer: plant 1 grows at a faster rate
Step-by-step explanation:
What is an included angle and an included side?
A: Included Angle: A 90 deg angle
Included Side: The longest
side
B: Included Angle: An angle between two angles
Included Side: A side between two sides
C: Included Angle: An angle between two sides.
Included Side: A side between two angles
Answer:
C
Step-by-step explanation:
Kile’s weight is 30 pounds less than the product of Mindy’s weight and 3. Let m represent Mindy’s weight. Write an expression that represents Kile’s weight.
Answer:
3m - 30
Hope you could get an idea from here.
Doubt clarification - use comment section.
So the expression till now
[tex]\\ \sf{:}\Rrightarrow m(3)[/tex]
[tex]\\ \sf{:}\Rrightarrow 3m[/tex]
But the required weight is 30pounds less than it
[tex]\\ \sf{:}\Rrightarrow 3m-30[/tex]
Solve the inequality.
-7x - 4 > 17
Answer:x<-3
Step-by-step explanation:
Answer:
x < -3
Step-by-step explanation:
[tex]-7x-4>17\\\\-7x-4+4>17+4\\\\-7x>21\\\\\frac{-7x}{-7}>\frac{21}{-7}\\\\x<-3[/tex]
what is the next term in the number pattern? 77, 64, 53, 44, 37
Answer:
32
...when you subtract five from 37
It is a pattern that goes:
-13
-11
-9
-7
and now -5 = 32
i need help with this problem, but i don't want someone to just give me the answer. i need it to be taught step-by-step to me because for some reason i can't understand how everyone tells me to do it. i need to learn this as I've been on this one test for the past 2 weeks. I've been trying to find a tutor or something that will actually help me the way i need to be helped. so please, just give me a simple answer that will help me with the 3 other questions after it.
the lesson name is called solving real world systems of equations via elimination.
here is the question:
jared bought 7 cans of paint. a can of red paint costs 3.75. a can of black paint costs 2.75. jared spent 22.25 in all. how many cans of black (b) and how many cans of red (r) did he buy?
r+b=7
3.75 + 2.75 = 22.25
this is a lesson in 8th grade math.
Answer:
Hallo, I will help you with the problem T^T
Step-by-step explanation:
3.75r + 2.75b = 22.25
3.75r = The amount a red can costs, MULTIPLIED BY the amount of red cans they bought!
2.75b = The amount a black can costs, MULTIPLIED BY the amount of black cans they bought!
So this means that they bought:
3 cans of red paint.
And 4 cans of black paint.
Now you may be thinking, how do you know?
If you multiply the COST 3.75, by 3 cans of red paint, you get 11.25
And then if you multiply the COST of the black paint (The cost for a can of black paint is 2.75) multiply that by 4, you get 11 :0
So add 11 + 11.25 and you get 22.25 :]
Comment if you have any questions, no matter how insignificant you think they may be, I will help you :]
Please help!!!!!!!!!!!!!
Answer:
B and C
Step-by-step explanation:
look at comments
A group of friends wants to go to the amusement park. They have no more than $150 to spend on parking and admission. Parking is $10.50, and tickets cost $15 per person, including tax. Write and solve an inequality which can be used to determine p, the number of people who can go to the amusement park.
please write an inequality
also please solve for p <3
PLEASE HELP!!
This is worth 20 points please help me!
Anyone know this answer I will give you 28 point.
Answer:
V to X = 68mi
X to W = 50mi
V to W = will be 68mi too
Step-by-step explanation:
note ; it's a triangle*
what is 69+69-69+1-1+0
Answer:
207
Step-by-step explanation:
A new DVD player has a purchase price of $430. With the extended warranty, the total cost is $512. What percent of the purchase price is the price of the warranty? a. 16% b. 19% c. 24% d. 29% Please select the best answer from the choices provided A B C D.
The percent of the purchase price that is the price of the warranty is: b. 19%.
Using this formula
Purchase price percent=Total cost-Purchase price/Purchase price
Where:
Total cost=$512
Purchase price=$430
Let plug in the formula
Purchase price percent=$512-$430/$430
Purchase price percent=$82/$430
Purchase price percent=0.19×100
Purchase price percent=19%
Inconclusion the percent of the purchase price that is the price of the warranty is: b. 19%.
Learn more about purchase price here:https://brainly.com/question/6076645
Some please help me I’ll give you brainlist answer
Answer:
Step-by-step explanation:
The area of the square is 3 units by 3 units. because the area of a square is side length squared.
side length = 3
side length^2 = 3 * 3 = 9
The area of a circle is much harder to reason out. You could start with the area of a square and use the diameter is 3 units. But the corners are rounded and you don't know off hand what the area of one of them is, let alone all 4. You are given a formula for circles area, but you have no real idea what the formula actually means. Does it take the corner area into account? At the beginning levels, we don't know.
Answer:
The area of the square is 9 aka [tex]3^{2}[/tex]
You can find it easily by just counting the number of squares inside the square, or by counting the number of squares at its length then multiplying it by its width; so 3 x 3 = 9
It wouldn't be as easy to find the area of the circle because you don't have the radius, nor diameter, so basically, no quantitative values could be used to at least guess.
A store owner discounted some silver coat racks from $625 to $405. What percentage is the discount?
Answer: 64.80% not 100% positive if i did that math right but thats what i got
Step-by-step explanation:
38.8679
Step-by-step explanation:
Helppppppppppppppppp
[tex]\huge \tt༆ Answer ༄[/tex]
The respective terms used for the lines are ~
a.) Line a = Tangent b.) Line b = Radius c.) Line c = Diameter d.) Line d = SecantStep-by-step explanation:
a is tangent
b radius
c diameter
d chord
f(x) = (x - 1) (4x + 3) (3x - 8) has zeros at x = 3/4, x= 1, and x = 8/3.
What is the sign of f on the interval - 3/4
Using the given roots, it is found that on the interval [tex]-\frac{3}{4} < x < 1[/tex], the function is positive.
The function is:
[tex]f(x) = (x - 1)(4x + 3)(3x - 8)[/tex]
The zeroes are:
[tex]x = -\frac{3}{4}, x = 1, x = \frac{8}{3}[/tex]
Between two zeroes, the function has the same sign, hence, to find the sign on the interval [tex]-\frac{3}{4} < x < 1[/tex], we find the numeric value of the function of a value of x on the interval, for example f(0), for x = 0.
Then:
[tex]f(0) = (0 - 1)[4(0) + 3][3(0) - 8] = (-1)(3)(-8) = 24[/tex]
Since f(0) is positive, the function is positive on the interval [tex]-\frac{3}{4} < x < 1[/tex].
A similar problem, in which it is desired to find the sign of the function, is given at https://brainly.com/question/4787253
Slope formula: trying to make sure I’m doing this right
Answer:
Yup ur Right ;D
Step-by-step explanation:
five times a number is ten more than three times the number. Find the number
5x = 10 + 3x
5x - 3x = 10
2x = 10
x = 5
To check
5(5) = 10 + 3(5)
25 = 10 + 15
25 = 25
Answer:
x = 5
Step-by-step explanation:
Number = x
5x = 10 + 3x
2x = 10
x = 5
The ratio of boys to girls at a monster truck rally is 4:3. Create a ratio table with examples of how many boys and girls could be at the rally?
4:3
8:6
12:9
16:12
20:15
24:18
28:21
Find the equation of the straight line which makes a negative intercept of 4 units on the x - axis and passes through the point (2‚ 3).
Answer:
y = 1/2x + 2.
Step-by-step explanation:
It passes through the points (-4, 0) and (2,3) so
the slope (m) = (3-0)/(2-(-4)) = 3/2 = 1/2.
Using the point slope form of a straight line:
y - y1 = m(x - x1):
y - 3 = 1/2(x - 2)
y = 1/2x - 1 + 3
y = 1/2x + 2 is the required equation.
pls help me i do not know how to do this
Answer:
D. Reflect across the y-axis and then across x = 7
Step-by-step explanation:
A and B work because each transformed point is 12 to the right (x-value is 12 greater), and 3 left then 15 right is the same thing as just 12 right.
C. works because if you take each of the points and reflect them over the y-axis (make the x value positive) and then across the line x=6 (vertical line at 6 on the x-axis) it will map the points onto the correct image.
So, the answer is D. Reflect across the y-axis and then across x = 7.
Graph a line with a slope of -3/4 that contains the point (2,3).
Answer:
The graph will be on the bottom:
Step-by-step explanation:
First find the slope intercept form:
y=mx+b
m is slope
b is y-intercept
since we already have slope we can replace that with m
y=-3/4x+b
Now substitute x and y with 2 and 3
3=-3/4 (2)+b
3=-3/2+b
Add on both sides:
9/2=b
Thus the Slope-intercept form is
y=-3/4x+9/2
Hope this helps!
Given f(x) = 3. + 1, solve for when f(3) = 7.
Answer:
The question is incomplete
Challenge question? Thanks.
Answer:
x=15
Step-by-step explanation:
the basic property is: AB/AD=BC/CD, for more info see the attachment.
Tom, Kristen, and bill bought 3 granola bars to share amongst themselves. They divided each granola bar into 4 equal portions. Kristen ate 1 portion from each granola bar. Which equation represents how many granola bars Kristen ate.
Answer:
3/4 of a bar.
Step-by-step explanation:
Each piece of the granola bar is 1/4 of the bar. She ate 3 portions, so she ate 3/4.
Carlos cycles for 2 hours at a fast speed, then cycles for 3 more hours at a speed 10 km/h slower than this. If the entire distance travelled is 90 km, find Carlos’ speed in the first two hours of travel.
Answer:
f=24km/h
Step-by-step explanation:
Alright, here's what we know.
He travels 2 hours at a fast speed, lets call that speed f km/h
He then travels 3 hours at (f-10) km/h
In these 5 hours, he travels 90km
So we have the formula velocity = distance/time. If you don't know where that formula comes from, let me know and I'll explain.
So we have:
[tex]v=\frac{d}{t}[/tex]
d and t are given to us as 90 and 5 respectively
v is going to be his average speed, so we take 2 times the fast speed plus 3 times the slower speed and divide it by 5. This gives us the average speed he traveled over the 5 hours.
[tex]\frac{2f+3(f-10)}{5} =\frac{90}{5}[/tex]
2f+3f−30=90 by cancelling the 5's in the denominator and expanding 3(f−10)
5f=120
f=24km/h
So his faster speed is 24 km/h. Let me know if this solution did not make sense to you at any point.
Two identical squares of sides 17 cm overlap to form a rectangle as shown below. The shaded part is the overlapping region
Answer:
B 68 sq cm
Step-by-step explanation:
There's an overlap of 4
2*13 + 4
4 * 17 is 68
Katie don't delete my work!
At the Coyotes' football game yesterday, the Coyotes scored 6 points for every 1 point scored by their opponent, the Rams. Pick the diagram that models the ratio in the story. If the Coyotes scored 42 points, how many points did the Rams score
Answer:
The Rams scored 7 points.
Step-by-step explanation:
42/6 = 7
since the Coyotes scored 42 points, you would divide that score by however many they would get for every 1 point the Rams would get.