Answer:
See belowStep-by-step explanation:
Given equation:
x² + 2x - 31 = 0Complete square as follows:
x² + 2x + 1 - 31 = 1(x + 1)² = 32x + 1 = ± √32x = - 1 ± 4√2Step-by-step explanation:
We need to solve the equation using completing the square method .
=> x² - 2x - 31 = 0
=> x² -2*1*x + 1² - 1² - 31 = 0
=> ( x -1)² - 32 = 0
=> (x+1)² = 32
=> x +1 = ±√32
=> x = ±4√2 - 1
11-2n and 4-5n
Solve it
Answer:
[tex]n=2\frac{1}{3}[/tex]
Step-by-step explanation:
Im assuming you mean
[tex]11-2n=4-5n[/tex]
Solve
[tex]11-2n=4-5n[/tex]
add [tex]5n[/tex] to both sides
[tex]11+3n=4[/tex]
subtract [tex]11[/tex] from both sides
[tex]3n=-7[/tex]
divide both sides by 3
[tex]n=2\frac{1}{3}[/tex]
2. Sam can make 15 pizzas in 2.5 hours. At this
rate, how many could he make in an 8 hour work
day? What is Sam's rate per hour?
Answer:
48
Step-by-step explanation:
You can do it with cross multiplication
Help please, can you check my answer? 15 points
I'm not sure about the last one.
*VIEW ATTACHMENT BELOW*
Who has the most money based on the table below?
Divide and state the remainder
(I need help solving)
(a^3 + 6a^2 - 11a -38) ÷ (a+7)
Answer:
remainder=-10
Step-by-step explanation:
a^3+6a^2-11a-38=a^3+7a^2-a^2-7a-4a-28-10=a^2(a+7)-a(a+7)-4(a+7)-10=(a+7)*(a^2-a-4)-10
or you can find remainder replacing a with -7:
-7^3+6*-7^2+7*11-38= -10
Answer:
- 10Step-by-step explanation:
(a³ + 6a² - 11a -38) ÷ (a+7) = a² - a - 4 rem (-10)
a³ + 7a²
- a² - 11a
- a² - 7a
- 4a - 38
- 4a - 28
-10
Write the equation of the graphed line in slope-intercept form.
The slope is a rise of 1 and over three and the y intercept is 3
Please help?
Answer:
yes the slope is 1 up 3left or 1 down 3 right
but you wrote it wrong y = 1÷3 + 3
because y intercept is 3
what is the first 5 multiples of the following numbers 10,15,20,24
the numerator is the same number as the?
A population of cattle is increasing at a rate of per year, where is measured in years. By how much does the population increase between the 3rd and the 5th years
Using the rate function given and the subtraction operation, the increase in the population is 8
The rate of increase per year :
500 + 4tIncrement in the third year :
t = 3 :500 + 4(3)
500 + 12 = 512
Increment in 5th year :
t = 5500 + 4(5)
500 + 20 = 520
Change in size between 5th and 3rd year :
520 - 512 = 8Hence, population increased by 8 cattle.
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Where is math project recorded the information shown below
What type of graph would be the most appropriate for Rick to use
A. Double bar graph
B. Line graph
C. Histogram
D. Double line graph
The type of graph that would be the most appropriate for Rick to use would be the line graph. That is option B.
What is a graph?A graph is defined as the representation of data on two lines that intercepted on an y and x axis which is used for easy interpretation of results obtained from a data set.
The different types of graph include the following;
Double bar graph,Line graph andDouble line graph.
The line graph is used for the representation of data taken for a short period of time that appears to have little to no difference.
The difference between the temperature of the different days analysed is limited therefore a line graph can be used.
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Use the triangle above to find the trigonometric ratios
9514 1404 393
Answer:
sin(C) = 24/26 (c)cos(C) = 10/26 (a)tan(C) = 24/10 (d)Step-by-step explanation:
The mnemonic SOH CAH TOA can help you remember the definitions of the trig relations:
Sin = Opposite/Hypotenuse
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
__
In the given triangle, the side adjacent to angle C is marked 10; the side opposite is marked 24; and the hypotenuse is marked 26.
1. sin(C) = 24/26
2. cos(C) = 10/26
3. tan(C) = 24/10
The following function gives the population of a town, with t measured in years after 2010. What will the population of the town be in 2019? Round to the nearest whole number.
P(t)=7842e0.018t
Answer:
Solution
verified
Verified by Toppr
It is given that
Present population (P) = 15625
Rate of increase (r) = 4% p.a.
Period (n) = 3 years
We know that
Population after 3 years = P(1+r/100)
n
Substituting the values
= 15625(1+4/100)
3
By further calculation
= 15625×26/25×26/25×26/25
=17576
So the increase = 17576−15625=1951
Step-by-step explanation:
purple you
Someone please help me
Answer:
B
Step-by-step explanation:
The top of y is (0,9)
Bottom is (0,-6)
please help me, Use division to change this improper fraction to a whole number or mixed number.
5/3
Please help me.
last week, the price of oranges at the farmers market was $1.75 per pound. this week there were decreased by 20%. what are the prices of oranges this week?
$1.40
20% of 1.75 is .35, so subtract 0.35 from 1.75 and you get 1.4, carry a zero, and boom your answer.
Can anyone help?!! Thank you..
Answer:
1. 32
Step-by-step explanation:
1.60/15 = 4
4x8 = 32
Frankie and Gus swam for 10 minutes. When the time was up, Frankie had completed 10 7/10 laps and Gus 10 4/5 had completed laps. Frankie wrote the inequality 10 7/10 > 10 4/5 to show who swam the longest distance. Was he correct? Explain your answer by describing where the numbers would be positioned on a number line.
no links
Answer:
No. He was incorrect.
Step-by-step explanation:
10 4/5 = 10 8/10.
=> 10 7/10 < 10 8/10
The above inequality is correct.
Hoped this helped.
The inequality written by Frankie is incorrect. so 10 7/10 < 10 8/10 inequality is correct.
What is a solution set to an inequality or an equation?If the equation or inequality contains variable terms, then there might be some values of those variables for which that equation or inequality might be true. Such values are called solutions to that equation or inequality.
We have been given that Frankie and Gus swam for 10 minutes. When the time was up; Frankie completed 10 7/10 laps and Gus 10 4/5 had completed laps.
Since Frankie wrote the inequality to show who swam the longest distance as;
10 7/10 > 10 4/5
We can see that the fraction are;
10 4/5 = 10 8/10.
Thus, the inequality written by Frankie is incorrect.
So, 10 7/10 < 10 8/10
This inequality is correct.
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What property allowed her to go from StartFraction x over 4 EndFraction = StartFraction 36 over 16 EndFraction to StartFraction x over 4 EndFraction times 4 = StartFraction 36 over 16 EndFraction times 4?
Answer:
the multiplication property of equality
Step-by-step explanation:
So the explanation is too long but that's the answer. Hope this helps luvv :)
Evaluate the determinant for the following matrix
letter a
Step by step Explanation
-5×4-1×1
-20-1
-21
hope this help you!
4. A flea is very small, but can jump very high. For example, a flea that is 1/8 inch tall can
jump 12 inches in height. If a child who is 4 feet tall had the ability to jump like a flea,
how high could she jump?
Answer:
1,187.5
Step-by-step explanation:
Convert inch to feet or convert feet to inch. Convert inch to feet by:
Calculate the inch by subtracting it from the same amount of length(12) and multiplying it by 100
Định khoản kế toán các nghiệp vụ phát sinh
1. Khách hàng trả tiền mua hàng chịu từ kỳ trước bằng tiền mặt 10.000
Answer:
none
Step-by-step explanation:
Qué es esto mierda
What ratio is equivalent to 15/4? PLEASE HELP
Hello there! :)
The ratio that is equivalent to 15/4 is 45/12 (you multiply the numerator by 3 and the denominator by 3)
Therefore, your answer is: 45/12.Hope it helps!
~Just a felicitous girlie
[tex]SilentNature ;)[/tex] is here to help
I don’t understand this part 5
Answer:
149ft.
Step-by-step explanation:
Well the dotted line is 11ft. The horizontal lines are 24ft. The slanted lines are 20ft. And the half circle line is 50ft. so if you add the numbers like this then you will have your answer.
1 1ft.
20ft.
20ft.
24ft.
24ft.
+50ft.
--------
149ft.
The height h(t), in feet above the ground, of a ball thrown into the air from the top of a building is give
by the function h(t) = – 16(t - 2)2 + 264, where t is the number of seconds the ball has been in the
air.
What is the maximum height the ball will reach?
feet
From what height was the ball thrown?
feet
When does the ball strike the ground?
sec
For what values of t does the function have meaning? That is, state the domain of the function that models
this situation. (use interval notation)
Ned calculated 17 divided by 4= 4.25. Use estimation to see if his answer is reasonable. How can you check his exact answer?
Answer:
you can use estimation by saying that 4 * 4 = 16 and 4 * 5 = 20
therefore your number has to be less that 5 but slightly greater than 4.
you can check his exact answer by doing division or checking it on a calculator.
help me with math and ill mark brainliest
Answer:ok so 3xis gonna be your 3 so 9+23=32
Step-by-step explanation:
7x7=49+26=75 9x9=81-3=78 so 78+32=110+75=185-113=72
The width of a rectangle is 5 less than twice its length. If the area of the rectangle is 88 cm², what is the
length of the diagonal?
The length of the diagonal is
cm.
Give your answer to 2 decimal places.
Answer:
200cm^2
Step-by-step explanation:
When we need to find length of a rectangle we need to divide area by breadth.
Length of a rectangle = Area ÷ breadth.
ℓ = A ÷ b.
Similarly, when we need to find breadth of a rectangle we need to divide area by length.
Breadth of a rectangle = Area ÷ length.
giving brainliest pls helpp
Answer:
Maybe negative or undefined?
Step-by-step explanation:
Solve for D
———
——
——-
d/f=j
Answer:
D = jf
Step-by-step explanation:
d/f = j
multiply f from both sides.
now you have d = j times f
whats the answer i need help with the following equations
It’s going up by fiveAnswer:
Step-by-step explanation:
