Answer:
Solution set: (3, 4) and (4, 3)
Step-by-step explanation:
Please, to indicate exponentiation, use " ^ ": a^2 and b^2
Then you have:
a + b = 7 and a^2 + b^2 = 25.
Let's eliminate b: Solve a + b = 7 for b, obtaining b = 7 - a.
Then we have:
a^2 + (7 - a)^2 = 25, or
a^2 + 49 - 14a + a^2 - 25 = 0, or
2a^2 - 14a + 24 = 0, or
a^2 - 7a + 12 = 0, which factors as follows:
(a - 3)(a - 4) = 0
This results in a = 3 and a = 4, in which case the equation a + b = 7 tells us that the b values are 4 and 3 respectively.
Solution set: (3, 4) and (4, 3)
Jenna wants to wrap a shipping box shaped like a rectangular prism. The box is 30 inches tall and has a square base with sides that each measure 3 inches. How much paper will she use?
PLSSSSS HELPPP!!!!!!! PLLLLLLSSSSSS!!!!!! 20 POINTSSSSSS!!!!!! PLSSSS HELPPP!
Jamie has two similar rectangular boxes. If the sides of one box are three times the lengths of the corresponding sides of the other box, which one of the following is true? *
a. The volume of one box is 3 times the volume of the other.
b. The volume of one box is 6 times the volume of the other.
c. The volume of one box is 9 times the volume of the other.
d. The volume of one box is 27 times the volume of the other.
Answer:Box A contains 13.75 cubic feet more space than Box B. I just took the test. hope this helps ;)
Step-by-step explanation:
What is the product of: 2x(x-3) expressed as a sum or difference of terms
Answer:
2x^2 - 6x
Step-by-step explanation:
2x(x-3)
Distribute
2x*x -3*2x
2x^2 - 6x
2.5(2z + 5) = 5(z + 2.5)
Answer:
z is any real number
Step-by-step explanation:
2.5(2z + 5) = 5(z + 2.5)
Distribute
5z + 12.5 = 5z +12.5
Subtract 5z from each side
5z -5z + 12.5 = 5z-5z +12.5
12.5 = 12.5
This is always true so z can be any real number
Answer:
All Real Numbers
Step-by-step explanation:
We are considering the following equation - 2.5(2z + 5) = 5(z + 2.5),
[tex]2.5 * (2z + 5) = 5 * (z + 2.5) - Apply Distributive Property,\\\\2.5 ( 2z ) + 2.5 ( 5 ) = 5z + 5 ( 2.5 ) - Multiply Like Terms,\\5z + 12.5 = 5z + 12.5 - Subtract Terms From Either Side,\\\\0 = 0,\\Conclusion ; z - All Real Numbers[/tex]
Solution; All Real Numbers
Can somebody explain to me how to find vertex form from a graph?? I put an example graph if you need it :)))
Answer:
y = - 4(x + 3)² + 7
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
From the graph (h, k ) = (- 3, 7 ), thus
y = a(x + 3)² + 7
To find a we require a point on the graph other than the vertex
Using (- 2, 3) , substitute into the equation
3 = a(- 2 + 3)² + 7
3 = a + 7 ( subtract 7 from both sides )
a = - 4
Thus
y = - 4(x + 3)² + 7 ← in vertex form
What is the equation in slope-intercept form of the line?
Answer:
y = 1x - 500
Step-by-step explanation:
b is were the line crosses the y axis so its -500
and to find slope you do -200-(-400) over 300-100 and it equals 1
hope this helps:)
Find the 11th term from the end of the A.P 10,7,4.... -62.
Term 11=a+10d
Here
a=10
d= 7-10= -3
Term 11;
=10+(10×-3)
=10+(-30)
= -20 is the answer
Thank you Hope it helps dear
Answer: -32
Step-by-step explanation:
a=10, d = 7-10 = -3
First find which term is -62
an = -62
a = (n-1) d= -62
Putting values
10 + (n-1)(-3) = -62
10 + (n(-3) -1 (-3) = -62
10 - 3n + 3 = -62
13 - 3n = -62
-3n = -62-13
n = 75/3 = 25
We need to find out 11th term from the last term ie., 25 - 10 = 15th term
So we need to find a14
an = a +(n-1) d
a15 = 10+ (15-1) (-3)
= 10 + 14 (-3)
= 10 -42
= -32
So the 11th term from the 15th term from the first = -32
Simplify the expression
12x^-6 y^10 •3x^7y
Find the volume of a right circular cone that has a height of 13.8 ft and a base with a radius of 7.8 ft. Round your answer to the nearest tenth of a cubic foot.
Answer:
879.2ft^3
Step-by-step explanation:
Which measure is always the 50th percentile?
mean
median
upper quartile
Answer:
median
Step-by-step explanation:
the median is literally the middle number--half the numbers are higher, half the numbers are lower.
2t + 9 + 7
Idk what this isss
Answer:
2t+16
Step-by-step explanation:
this should 2t+16
because 2t contains a variable and there are no available numbers/figits that match up
and 9 +7 is 16
hope i could help
Answer:
2t +16
Step-by-step explanation:
2t + 9 + 7
Combine like terms
2t +16
A train covers 240 Km in 3 hours. How much distance will it cover in 1 ¾ hours? *
Answer: 140 km
Step-by-step explanation:
240 km in 3 hours
1 3/4 hours = (1 3/4 / 3) x 240
= (7/4 / 3) x 240
= 7/12 x 240
= 7 x 20 = 140
Jeff needs to rent a car for one day, so he shops around to find a car rental company with the lowest overall price. He finds a national rental car company that charges a 12$ daily fee plus .30 per mile, he also find a rental car company that charges a 10$ daily fee, plus a .40 per mile under what conditions would it be less expensive to rent from the national car company?
Answer:
When Jeff travels more than 20 miles
Step-by-step explanation:
Let 'x' be the number of miles traveled by Jeff.
In order for the national car company to be less expensive, then the following condition must be met:
[tex]12+0.30x < 10+0.40x\\12-10 < 0.4x-0.3 x\\2 <0.1x\\20<x[/tex]
This means that when Jeff travels more than 20 miles, it is cheaper to rent from the national car company.
Q 1: There are n boxes in a large bag and m toys in each box. What is the total number of toys in the bag? Q 2 :The length of a rectangle is given by x + 2 and its width is equal to 3. Give a simplified expression of the area of this rectangle.
Answer:
Q1: n*m
Q2: A = 3x+6
Step-by-step explanation:
Q1: The total number of toys in the bag is given by the number of boxes (n) in the bag multiplied by the number of toys in each box (m):
[tex]T = n*m=nm[/tex]
Q2: The area of a rectangle is given by the product of its height by its length:
[tex]A = (x+2)*3\\A=3x+6[/tex]
The area of this rectangle is given by the expression A = 3x+6.
f(n) = 9+ 5n; 64
determine which term produces the given answer?
Answer:
the 11th term
Step-by-step explanation:
f(n) = 9+ 5n;
Let f(n) =64
64 = 9+5n
Subtract 9 from each side
64-9 = 9+5n-9
55 = 5n
Divide each side by 5
55/5 = 5n/5
11= n
What is the final amount if 1442 is increased by 9% followed by a 6% decrease?
Answer:
1,485.26
Step-by-step explanation:
100% is 1442
1% is 14.42
10% is 144.2
9% is 10 - 1 so its 129.78
1442 add 129.78 is 1 571.78
5% is 72.1
so add 72.1 and 14.42 86.52 and take it from 1571.78
answer is 1,485.26
What’s the cosine of U?
Step-by-step explanation:
The cosine of U is equal to the adjacent side divided by the hypotenuse.
cos(U) = 28/53
You can simplify it from there.
what is factorization of the trinomial below 4x^2-20x+24 a)4x(x-4)(x-6) b)4(x-4 )(x-6) c)4(x-2)(x-3) d)4x(x-2)(x-3)
Answer:
4(x-3)(x-2)
Step-by-step explanation:
4x^2-20x+24
4(x-3)(x-2)
there are two spinners. spinner A has 2, 4, 6 on it. spinner B has 3, 6 and 9 on it. wat is the probability of scoring more than 3
Answer:
5/6
Step-by-step explanation: im not sure if this is right...?
Expand and simplify . 5(3m+6n)-4(11m-8n) PLEASE HELP. BEST ANSWER RECIEVES A BRIANLIEST
Answer:
-29m+62n
Step-by-step explanation:
5 (3m+6n)-4 (11m-8m)
15m+30n-44m+30n
15m-44m +32n+30n
-29m +62n
How fast was the container being filled?
Answer:
Between the 10- and 20- second marks
Step-by-step explanation:
in the first half of filling the container it started at 0- 10 and the points goes further to 30 which is 10 plus 20 equals to 30, which is between the 10- and 20- second marks.
HELPP I don’t get this at all. I originally got c but my teacher said it was incorrect. This is about volume and cylinders. Explanation needed
Answer:
B
Step-by-step explanation:
The formula for the volume of a cylinder is [tex]\pi r^2 h[/tex], where r is the radius of the base and h is the height of the cylinder.
[tex]\pi \cdot 3.25^2 \cdot 10=105.625\pi \text{ cm}^3[/tex]
Therefore, the correct answer is choice B. Hope this helps!
Answer:
I believe it is b
What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? (1 point) Select one: a. 0 b. 5 c. 10 d. 15
Answer: C. / 10
Step-by-step explanation:
Answer:
B
Step-by-step explanation:
Given a polynomial divided by a factor (x + h) then the remainder is f(- h)
Given
f(x) = 3[tex]x^{4}[/tex] + 2x³ - x² + 2x - 19 divided by (x + 2)
To find remainder evaluate f(- 2)
f(- 2) = 3[tex](-2)^{4}[/tex] + 2(- 2)³ - (- 2)² + 2(- 2) - 19
= 3(16) + 2(- 8) - 4 - 4 - 19
= 48 - 16 - 4 - 4 - 19
= 5 → B
write as an algebraic expression
Answer:
13) x=n-11
15) x=3*10
Step-by-step explanation:
I used x as the variable. The questions are pretty straightforward. They are asking you to put the terms in the description on the right side of the equation. The questions = x. That was probably confusing, but it is correct. I hope this helped!
Product of 3 and 10 and12
The sum of the digits of a two-digit number is 14. If the number formed by reversing the digits is less than the original number by 18. Find the original numbers.
Answer: Dear friend my answer for this question is 86.
Step-by-step explanation:Let the two digits of two digit number be, 10s digit x and 1s digit y.
x + y = 14
x = 14 - y…..Eq..1
The nuber formed is 10x + y
If the number formed by reversing the digits is 18 less than the original number, what is the original number
On reversing the digit the number will be 10y + x
10y + x + 18 = (10x + y)
10y + x = 10x + y - 18
10y - y + x - 10x = - 18
9y - 9x = -18…Eq..2
Now substituting the value of x from Eq..1 to Eq..2
9y - 9 (14 - y) = - 18
9y - 126 + 9y = - 18
18y = 126 - 18
18y = 108
y = 108/18
y = 6
Thus 1s digit if the number is 6
Substituting the derived value of y in Eq..1 to derive value of x.
x = 14 - y
x = 14 - 6
x = 8
The 10s digit if two digit number is 8.
The original number formed is 86.
On reversing the digits, the number transform to 68, which is 18 less than original number
Answer the original number is 86.
A park ranger standing in a 146-foot lookout tower sees the beginning of a forest fire. she measures the angle of depression from the tower to the fire to be 12 degrees. Assuming that the ground is horizontal, calculate the distance from the tower to the fire. *Round to the nearest hundredth
their gd7v7gvugvrty
Step-by-step explanation:
7yvtc
Jim decides to decorate a wall of his house by randomly tossing paint onto the wall. The wall is rectangular and measures 8 feet by 8 feet. The wall has a light switch panel that measures 12 inches by 6 inches. If it is equally likely that tossed paint will land anywhere on the wall, what is the probability that Jim will hit the light switch with one random toss of paint?
Round your answer to the nearest whole percent.
A. 89%
B. 64%
C. 9%
D. 1%
Answer:
i belive it is D 1%
Step-by-step explanation:
I think the answer is D) 1% I am sorry if it is wrong and plz let me know if i am wrong
What is the value of this discriminant?
Answer:
The answer is A.
Step-by-step explanation:
The formula of discriminant is D = b² - 4ac using ax² + bx + c. In this question, a is 1, b is -4 and c is 4. Then substitute the values into the formula :
D = b² - 4ac
D = (-4)² - 4(1)(4)
= 16 - 16
= 0
12) The sum of two natural numbers is 30. If one of the numbers is one-
fifth of the other, then what is the product of both the numbers?
a) 5
b) 25
c) 30
d) 125
Answer:
D.) 5 x 25 = 125
Step-by-step explanation:
The two numbers are 25 and 5. If you take 1/5 of 25, or simply divide by 5, you will get 5.
Answer:
A) X + Y = 30
B) X = .2Y OR X - .2Y = 0
We subtract B) from A)
1.2Y = 30
Y = 25 X = 5
X * Y = 125
Answer is d.) 125
Step-by-step explanation:
If x-9 is a factor of x2 – 5x - 36, what is the other factor?
x - 4
x + 4
A
ООО
X-6
X + 6
Answer:
x²-5x-36
=> x²-9x+4x-36 = 0
=> x(x-9)+4(x-9)
=> (x-9) (x+4)
Step-by-step explanation:
Answer:
(x-9) (x+4)
Step-by-step explanation:
x^2 – 5x - 36,
What two numbers multiply to -36 and add to -5
-9 *4 = -36
-9+4 = -5
(x-9) (x+4)