Answer:
The lowest point is -100 meters, or 100 meters down
Step-by-step explanation:
D(x)=1/36(x-60)^2-100
This equation is in vertex form
y = a(x-h)^2 +k where (h,k) is the vertex
Since a is positive, the parabola opens up
The vertex is the minimum, which means it will be the lowest point
The vertex is (60,-100)
The lowest point is -100 meters, or 100 meters down
Given expression
y=1/36(x-60)²-100Compare to the vertex form
y=a(x-h)²+kWe get
.
a=1/36(h,k)=vertex=(60,-100)As a is positive parabola is opening upwards and vertex is minimum
Lowest altitude is -100m
Factoring binomials with the difference of squares
Answer:
Step-by-step explanation:
9 is multiplied by the cube of a number
Answer:
[tex] 9\times {y}^{3} [/tex]
this should be
[tex]9 {y}^{3} [/tex]
The expression for 9 is multiplied by the cube of a number will be 9X³.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
Given that 9 is multiplied by the cube of a number. The expression can be written by assuming that the number is x.
Expression = 9 x Cube of a number
Expression = 9 x ( X )³
Expression = 9X³
Therefore, the expression for 9 multiplied by the cube of a number will be 9X³.
The complete question is given below:-
9 is multiplied by the cube of a number then write an expression for that.
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rovers,United and City are football teams
rovers scored x goals
United scored 8 goals more than rovers
City scored 3 goals less than twice the number of goals scored by rovers
the three teams scored a total of 117 goals
solve to find the value of x
Based on the information given, the value of x is 28 which means that Rovers scored 28 goals.
Number of goals scored by Rovers = x
United scored 8 goals more than rovers. This will be = x + 8
City scored 3 goals less than twice the number of goals scored by rovers. This will be: = 2[x} - 3 = 2x - 3
Since the three teams scored a total of 117 goals, this will be:
x + x + 8 + 2x - 3 = 117
Collect like terms
4x = 117 - 8 + 3
4x = 112
x = 112/4
x = 28
The value of x is 28
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Equation : -2 (4g - 3) = 30
Answer:
g = -3
Step-by-step explanation:
-2 (4g - 3) = 30
-8g + 6 = 30
-8g = 24
g = -3
Answer:
[tex] \boxed{g = -3} [/tex]
Step-by-step explanation:
[First, distribute the factored term on the left side of the equation (distribution property of equality)]
-2 ( 4g – 3 ) = 30 →
-2 ( 4g ) – -2 ( 3 ) = 30 →
-8g + 6 = 30 →
[Next, subtract 6 from both sides (subtraction property of equality)]
-8g + 6 – 6 = 30 – 6 →
-8g = 24 →
[Finally, divide both sides by -8 to cancel out the coefficient of -8 in -8g and reduce it to solve for g (division property of equality)]
-8g / -8 = 24 / -8 →
g = -3
(4) ^ (1/3) * (3 ^ (1/3) * 3 ^ (1/2)) ^ 7 / (9 ^ (3/4))
Answer:
Here is your answer . Hope this helps.
[tex]\sqrt{9x^2[/tex]
Answer:
3x
Step-by-step explanation:
[tex] \sqrt{9 {x}^{2} } [/tex]
[tex] \sqrt{9} \sqrt{ {x}^{2} } [/tex]
[tex] \sqrt{ {3}^{2} } \sqrt{ {x}^{2} } [/tex]
[tex] \sqrt{ {3}^{2} } x[/tex]
[tex] = 3x[/tex]
You are making a smoothie that calls for 1/4 cup of yogurt. This only makes enough for 1 person and we need enough for 6 total people. How much
yogurt should you add
Answer:
Step-by-step explanation:
1 2/4
Well an easy way to solve this would be multiply it by 6. 1*6=6 and 4*6=24.
That would be enough for 6 people. Or you could do. 1/4+1/4+1/4+1/4+1/4+1/4 and get the same answer.
Hope this helps and if possible brainliest please?
Write the rational numbers whose multiplicative inverse are themselves
Answer:
the rational numbers whose multiplicative inverse are themselves are 1& -1.hope it helps .stay safe healthy and happy.1.) -6v²w³ (v² - 11v²w⁵ + 6w⁴)
2.) -10x⁴y⁴ (x⁴ - 4x⁴y⁴ + 4y³)
PLEASE HELP FAST!! I CANNOT GET THIS WRONG!!!!
Makayla and David work at a furniture store. Makayla is paid $230 per week plus 7.5% of her total sales in dollars, x, which can be represented by g(x)=230+0.075x. David is paid $321 per week plus 4% of his total sales in dollars, x, which can be represented by f(x)=321+0.04x. Determine the value of x, in dollars, that will make their weekly pay the same.
Answer:
6
Step-by-step explanation:
you kna mean?
tim x: 3x(x-2) + 2(2-x)=0
Answer:
Assuming this is the full problem.
3x^2-8x+4
Step-by-step explanation:
I would like to know how to solve these sort of questions
Answer:
Step-by-step explanation:
10) First find the capacity of the swimming pool.
Volume of the swimming pool= length * depth *width
= 15 * 1.5 * 5
= 112.5 cubic meter
1 cubic meter= 1000 liters
112.5 cubic m = 112.5* 1000 = 112,500 liters
Quantity of salt added to every 10 000 liters = 2 Kg
Quantity of salt added to 112,500 liters = [tex]\dfrac{2}{10000}*112500[/tex]
= 22.5 Kg
Find the equation of the line that contains the point (1,-5) and has a slope that is undefined. Express the equation using either the general form or the slope-intercept form of the equation of a line.
The equation of the line is
Answer:
x=1
Step-by-step explanation:
Since the slope is undefined, it's of the form x=a and since it passes through (1,-5) the equation is x=1
The equation of the vertical line in slope-intercept form is: x = 1.
What is the Equation of a Vertical Line?A vertical line has an undefined slope and therefore has no y-intercept. the equation of a vertical line is therefore expressed as, x = a, where a is the x-intercept, which is the value of x of the point where the vertical line intersects the x-axis..
Given the point (1, -5), since the line has an undefined slope, the equation in slope-intercept form would be: x = 1.
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a bowl contains seven green chips 4 blue chips and 9 red chips find the probability?
The Probability of picking green chips, blue chips and red chips respectively are 7/20, 1/5, and 9/20.
Number of green chips = 7
Number of blue chips = 4
Number of red chips = 9
Total number of chips = 7+4+9 = 20
Probability of picking green chips = 7/20
Probability of picking blue chips = 4/20 = 1/5
Probability of picking red chips = 9/20
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If a man earns 90cents every 3 minutes and he works for a day shift of 5hours how much will he earn in that time?
my answer is 9000cents per 5 hours which is also $90 per 5 hours
Answer:
It is 9000 cents or $90 total for 5 hours
Step-by-step explanation:
where does 0.5 goes on a real number line
What is the solution set to this equation?
log4 (x + 3) + log4x =1
A. x=0
B. x=1
C. x=1 and x= -4
D. x=-3 and x=0
Answer:
B
Step-by-step explanation:
Using the rules of logarithms
log x + log y = log (xy)
[tex]log_{b}[/tex] x = n , then x = [tex]b^{n}[/tex]
Given
[tex]log_{4}[/tex] (x + 3) + [tex]log_{4}[/tex] x = 1 , then
[tex]log_{4}[/tex] x(x + 3) = 1
x(x + 3) = [tex]4^{1}[/tex] = 4
x² + 3x = 4 ( subtract 4 from both sides )
x² + 3x - 4 = 0 ← in standard form
(x + 4)(x - 1) = 0 ← in factored form
Equate each factor to zero and solve for x
x + 4 = 0 ⇒ x = - 4
x - 1 = 0 ⇒ x = 1
However, x > 0 , thus x = 1
PLEASEE!! do at least one of the problems and show work!!!
For #8 and #9, fill in the missing information for the following trapezoids. SHOW YOUR WORK to solve for the missing value.
8.
height = 19.8 cm
b1 = ________
b2 = 14.4 cm
area = 401.94 cm2
9.
height = ________
b1 = 20 cm
b2 = 21 cm
area = 205 cm2
Step-by-step explanation:
8. b1 = (2×401.94)/19.8 - 14.4
= 40.6 - 14.4 = 26.2 cm
9. h = (2×205)/(20+21)
= 410/41
= 10cm
The cube of the difference of a number and 4
Answer:
(x - 4)³
Step-by-step explanation:
"The cube of x" would be x³. The difference of a number and 4 would be x - 4.
Therefore, "the cube of the difference of a number and 4" would be
(x - 4)³
IF ONE THIRD OF THE SCHOOL STUDENTS LIKE MATHEMATICS AND 400 STUDENTS DO NOT LIKE MATHEMATICS , THEN HOW MANY STUDENTS DOES THE SCHOOL HAVE ?
A. 600 B. 800
C. 200 D. 1000
Answer:
There are 600 students in this school.
Step-by-step explanation:
Let p represent the total population of the school.
Then (1/3)p represents the number of students who like math. Subtracting this (1/3)p from p gives an expression representing those who do not like math:
p - (1/3)p = (2/3)p
400 students do not like math, so (2/3)p = 400.
Solve this for p by multiplying both sides by (3/2):
(3/2)(2/3)p = (3/2)(400), which simplifies to p = 600.
There are 600 students in this school.
put the following equation of a line into slope intercept form simplifying all fractions 5x + 2y = -6
Answer:
The general equation of a slope-intercept form is as below;
[tex]y = mx + c[/tex]
m » slope / gradient
c » y - intercept
x » x - intercept
Since our equation is 5x + 2y = -6, make y the subject:
[tex]5x + 2y = - 6 [/tex]
subtract 5x from either sides:
[tex](5x + 2y) - 5x = - 6 - 5x \\ 2y = - 5x - 6[/tex]
apply the division rule of equality:
[tex] \frac{2y}{2} = \frac{ - 5x}{2} - \frac{6}{2} \\ \\ { \boxed{ \boxed{answer : \: y = - \frac{5}{2} x - 3}}}[/tex]
slope » -5/2
y - intetcept » -3
Y'ALL, WOULD A KIND SOUL PLEASE PLEASE HELP ME???!!!!!!!!!!! im running out of points
Complete the two-column proof below. The ‘reasons’ are already given, so only the mathematical ‘statements’ need to be completed.
show how you got your answer so I can see if it makes any sense!!!
1. ∠A and ∠B are complementary
2. ∠A + ∠B = 90° and ∠B + ∠C = 90°
3. ∠A = 90° - ∠B
4. ∠C = 90° - ∠B
5. ∠A ≅ ∠C
6-r+3r=4 solve for r
Answer:
r=-1
Step-by-step explanation:
6-r+3r=4
or, 6+2r=4
or, 2r=-2
or, r=-1
Find the equation of the line that has the given properties. Express the equation in slope-intercept form.
Slope = -9; Y-intercept = 6
What is the equation of the line?
y =
Answer:
y = -9x + 6
Step-by-step explanation:
Slope-intercept form: y = mx + b
m = slopeb = y-interceptTherefore, the equation is y = -9x + 6.
Help (Geomotry)!!!!
) Kim made $157.50
for 7 hours of
babysitting. What is
her hourly pay?
Answer:
$22.50 I believe...
Step-by-step explanation:
157.50 divided by 7
??
Answer:
$22.50 per hour
Step-by-step explanation:
157.50 = 7x
157.50 / 7 = 22.5
22.5/hour
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Carla bought a crate of red and green apples for her bakery. The crate had 140 red apples, which were 40% of the apples in the crate. How many apples were in the crate?
Answer:
350
Step-by-step explanation:
Do 140/0.4=350
Answer:
350 apples
Step-by-step explanation:
a = total number of apples in the crate
a* 40% = number of red apples
a * .40 = 140
Divide each side by .40
a * .40/.40 = 140/.40
a =350
Can someone please help me with this? Can someone please explain too?
It's a little bit urgent, please help. Thank you.
Answer:
1. A
2. D
3. D
Step-by-step explanation:
For one & two: Basically, what you do is you replace the Xs from the answers with all the set of numbers given from the question. You then see after you test the numbers w/ the answers it'll help you find the correct answer.
For three: Using all the numbers starting from zero to the left you use it to solve the problem by utilizing those numbers and replacing it w/ the Xs as explained above to find your answer.
which number has a 3 that is ten times greater than the 3 in 513
Answer:
5130
Step-by-step explanation:
You just multiply 513 by 10 to get 5130.
You can check this answer by just seeing if it fits the requirements, which it does. Making it the correct answer.
3.7 as a mixed fraction
let x =
10x =
9x =
x =
So 3.7 repeating is equal to...
Answer:
37/9Step-by-step explanation:
we have3.77777... :- is a repeating decimalLetx = 3.7...so10x =37.7...10x - x = 37.7... -3.7...9x=34x= 34/9convert to mixed number34/9=(27/9)+(7/9)=3+(7/9) =37/9 I hope this may help you.