Answer:
(a) x = -7, 1
Step-by-step explanation:
In most cases, it is useful to follow the directions. This can be solved easily by completing the square.
Completing the squareThe square is completed by adding the square of the x-term coefficient to both sides.
x² +6x +9 = 7 +9 . . . . . add 9
(x +3)² = 16 . . . . . . . . simplify . . . . write the left side as a square
The square is now complete. We finish the solution by taking the square root.
x +3 = ±√16 = ±4 . . . . take the square root
x = -3 ±4 . . . . . . . . . subtract 3
x = -7, 1
A delivery truck has 40,000 miles on its odometer and travels an average of 22,000 miles per year.
Which function best models the linear relationship?
y = 22,000x − 40,000
y = –22,000x + 40,000
y = 22,000x + 40,000
y = 40,000x − 22,000
Answer:
Since the truck adds 22,000 PER YEAR, this would be the number we multiply by the variable depending on how many years they are calculating for. So we have y = 22,000x
The truck already has 40,000 miles on it so it s STARTING at 40,000, this is our y-intercept, or b.
Now we have y = 22,000x + 40,000
what is the slope of this line? -2x + 3y =-6
Answer:
Slope: 2/3
Step-by-step explanation:
You have to first write the equation into slope-intercept form...
y = mx + b
So...
-2x + 3y = -6
becomes...
3y = 2x - 6
y = 2/3x - 2
Which means...
2/3 is the slope
Hope this help :)
Let me know if there are any mistakes!!
Solve for a.
6a−15=72
A.12
B.27
C.14 1/2
D.9 1/2
Answer:C
Step-by-step explanation:
Solve for x . Round to the nearest 100th if needed.
11/ x + 18 = 34
Answer:
x = 0.69
Step-by-step explanation:
11/x + 18 = 34
11/x = 16
11 = 16x
x = 0.6875 = 0.69
Consider the inequality -20.2 > 0y. Which of the following must be true? Check all that apply.
You cannot divide by zero.
The inequality is equivalent to -20.2 > 0, which is false.
The solution is y > 0.
The solution is 0 > y.
The solution is y = 0.
I think the answer is 0>y
Answer:
option 1 and 2
Step-by-step explanation:
edge 2021
Please help! The ritio of two houses is 4:3 and the cost of the second hose is ₹4,20,000 . lets find the cost of the first house . If the cost of the first house was ₹70,000 more , then lets find the ratio of their cost .
Answer:
[tex]First~condition:\\Suppose~that~the~first~house~costs~4x~and~the~second~house~costs~3x.\\Given,~Cost~of~the~second~house=Rs. 420000\\or, 3x=Rs. 420000\\or, x = Rs. 140000\\Cost~of~the~first~house=4x= 4(140000) = Rs. 560000\\So, ~the~cost~of~first~house~is~Rs.560000\\Second~part:\\Now,~the~cost~of~the~first~house = Rs.(560000+70000) = Rs. 630000\\But,~the~cost~of~second~house~is~still~Rs. 420000\\Their~ratio= 630000:420000 = \frac{630000}{420000}=\frac{3}{2}=3:2.\\[/tex]
So, the ratio of their cost is 3:2.
PLEASE HELP
How much pressure is exerted on a science lab floor if the lab
desk has an area of 1.08 m2 and a force of 12 000 N
Answer:
use pressure =Force /area
Step-by-step explanation:
12000N/1.08
Solve the equation.
-5(x+3)=20
Answer: x= -7
Step-by-step explanation:
-5 (x+3) =20
Divide both sides by -5:
-5(x+3)/ -5 = 20/-5
Simplify:
x+3= -4
Subtract 3 from both sides:
x+3-3 + -4-3
Simplify:
x= -7
Antonia solves an equation incorrectly. Her work is shown in the table
Original
27 (51x - 1) = -24x + 12
Line 1
-87x +
29
17
-24x +
Line 2
-63x+
29
17
12
17
Line 3
-63x = 1
Line 4
X
1
63
In which line did Antonia make an error based on the previous line?
А
Line 1
B
Line 2
С
Line 3
D
Line 4
Answer:
que no entiendo hablo español
Answer:
Step-by-step explanation:
A,B and D
Which sentence can represent the inequality 3.5 x greater-than-or-equal-to 7?
A The sum of 3.5 and a number is greater than 7.
B The sum of 3.5 and a number is greater than or equal to 7.
C The product of 3.5 and a number is greater than 7.
D The product of 3.5 and a number is greater than or equal to 7.
Answer:
c
Step-by-step explanation:
Answer:
d
Step-by-step explanation:
hope it helps
The value of an antique car is modeled by the function V\left(t\right)=10700\ \left(1.125\right)^t , where t is the number of years since 2005.
By what percent rate is the value of the car increasing per year?
a
125%
b
12.5%
c
1.125%
d
0.125%
Answer:
its c i think
Step-by-step explanation:
HELP ME PLEASE! i'll give u brainliest
Answer:
D. Hope that helps!
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
It is D because all fractions are rational numbers, and numbers with decimals can also be fractions, so its like multiplying a fraction with a fraction, It would still be a rational number.
A water tank holds 1,088 gallons but is leaking at a rate of 5 gallons per week. A second water tank holds
1,360 gallons but is leaking at a rate of 9 gallons per week. After how many weeks will the amount of
water in the two tanks be the same?
The amount of water in the two tanks will be the same in
weeks.
The first tank hold 1088 - 5t gallons of water after t weeks, while the seocnd tank holds 1360 - 9t gallons after t weeks.
Both tanks hold the same amount of water when
1088 - 5t = 1360 - 9t
Solve for t :
4t = 272
t = 68
So the tanks will hold the same amount of water after 68 weeks.
need help to find X
thank you
Answer:
121
Step-by-step explanation:
Answer:
63.33 or 190/3
Step-by-step explanation:
1. vertical opposite angles are equal
2. corresponding angles some up to 180°
=> 3x - 20 + 10 = 180
=> 3x = 180+10
=> 3x = 190
=> x = 190/3
=> x = 63.333333333333333
15) Dan is putting a fence around his circular swimming pool. If the pool
has a diameter of 13.5 feet and fencing costs $6 per foot, how much will
he spend?
Answer: 2
Step-by-step explanation:
Answer:
2.25
Step-by-step explanation:
You have to divide 13.5 and 6 to get your answer
PLEASE HELP ME WITH THIS I HATE SCHOOL
Answer:
B.)[tex]\sqrt{245}[/tex]
Step-by-step explanation:
[tex]\sqrt{245}[/tex]=15.65
7[tex]\sqrt{5}[/tex]=15.65
Hope this helps! :)
Answer:
its is B
Step-by-step explanation:
I just put 7/5 and put the answers below in my calculator and got whatever went with the answer when I put 7/5 (I dont have the square root sign)
car covers x plus 2 kilometre in 1 litre how much distance it will covers in Y litres
Answer:
y km = (x+2)y km
Step-by-step explanation:
Given that,
A car covers (x+2) kilometre in 1 litre.
We need to find the distance it will cover in y litres.
1 litre = (x+2) km
y km = (x+2)y km
Hence, it will cover (x+2)y km in y litres.
Divide 600 kg into 2 boxes so that one box has twice as much in it as the other box. How
much is in the heavier box?
Help please
Answer:
200 box 1 / 400 box 2
box 2 Step-by-step explanation:
200 + 400 = 600
Answer:
Hello asuna here
600 would be your answer
Step-by-step explanation:
Hope this helps
please help I have an hour to complete
Answer:
proportional
:)
11x + x = 60
full answer pls
Answer:
Step-by-step explanation:
Hello! I'm gettin' rekt right now, and I need help.
1st Question: How do you find the average of a number on a number line?
2nd Question: How do you find the average of 2 numbers on a number line?
Answer:
Step-by-step explanation:
Hm. I'm not sure what your asking, but I'll try my best.
To find an average, you would add all the numbers up, and then divide how many numbers there are.
Let me explain: If you wanted to find a average on a number line, that means you want to find one number on the number line. On this case, you would just take the number on the number line, and then divide it by 1.
2nd question: This question is the same as the first, except theres two numbers now, instead of 1. For this one, you would add up the 2 numbers, and then divide it by 2.
Hope this helps!
helpppp meeeee pleaseeeeeeeeee
What is the area of an isosceles triangle with side lengths of 22 and 66
Answer:
726
Step-by-step explanation:
66*22/2=726
Can i get the answers i need them or else i fail
A store sold 281 dresses last year. The store makes a profit of $35 for each dress sold.
How much did the store make from selling the dresses?
Answer:
9,835
Step-by-step explanation:
if p is the smallest of four integers, what is their sum interms of P
Answer:
If p is the smallest of n consecutive integers of the same sign than we have p , p+1 , p+2 , … , p+(n−1) ,
So the sum is
∑k=0n−1(p+k)=∑k=0n−1p+∑k=0n−1k=np+n2−n2
Here n=4
So we have 4p+6
And checking
p+(p+1)+(p+2)+(p+3)=4p+6
Note if p=−v
Than you have the same thing as if p=v−n+1 just negative for example 3 consecutive integers the smallest is −5 so the sum is −5+(−4)+(−3)=3×−5+32−32=−15+3=−12
On the other hand:
−(3+4+5)=−(3×3+32−32)=−(9+3)=−12
If p=−v the sum of next v+1 integers is −(∑k=0vk)=−(v2+v2)
Than needs an other v integers to bring it up to 0 again. From there it is
∑k=0hk=h2+h2
Where h=n−(2v+1) .
So recap if p is the smallest of n consecutive integers their sum is
p+(p+1)+(p+2)+…+(p+(n−1))=⎧⎩⎨⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪⎪np+n2+n2−(n|p|+n2+n2)((n−|p|)2+(n−|p|)2)−(|p|p+|p|2+|p|2)((n−|p|)2+(n−|p|)2)n≥0p<0∧n<|p|+1p<0∧|p|<n<2|p|+1p<0∧n>2|p|+1
Step-by-step explanation:
A number cube is rolled and a marble is selected at random from a bag containing 2 green marbles, 2 yellow marbles, 2 red marbles, 1 purple marble, and 1 blue marble. Find each probability. Show your work. 1. P(1 and red) 2. P(3 and purple) 3. P(even and yellow) 4. P(odd and not green) Give me all the answer thanks.
Answer:
total number of marble=8
p(of green marble)=2/8=1/4
p(of yellow marble)=2/8=1/4
p(of red marble)=2/8=1/4
p(of purple marble)=1/8
p(of blue marble)=1/8.
The sale price of an item is Rs 176. If a discount of 20% is allowed on its Marked price, what is the marked price of the item
Answer: $140.80
Step-by-step explanation:
Original price = Rs. 176.
Marked price has discount that is 20% lower than the above.
= 20% * 176
= $35.20
Marked price = Sales price - discount
= 176 - 35.20
= $140.80
pls help me it is important to me
Answer:
no
Step-by-step explanation: