Is b) Step-by-step explanation:
The length and the width of the rectangular garden will be ( x + 21) and x - 2 respectively.
What is a quadratic equation?Quadratic equation is a polynomial with a degree of 2 or the maximum power of the variable is 2 in quadratic equations. It has two solutions as its maximum power is 2.
Given that the area of a rectangular garden is represented by the polynomial is shown x² + 19x - 42. The length and the width will be calculated by factorizing the given quadratic equation.
x² + 19x - 42 = 0
x² -21x + 2x - 42 = 0
x ( x - 21 ) + 2 ( x - 21 ) = 0
( x + 2 ) ( x - 21 ) = 0
Therefore, the length and the width of the rectangular garden will be ( x + 21) and x - 2 respectively.
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PLEASE HELP ME PLEASE
Answer:
B
Step-by-step explanation:
(f – g)(x) = f (x) – g(x)=
[tex]3 {x}^{2} - 4x + 3 \\ - 2 {x}^{2} + 6x + 4 \\ = 5 {x}^{2} - 10x - 1[/tex]
The mass of a car is 1000 kg. How much force would be required to accelerate the car at a rate of 5 m/sec^2 ?
Answer:
5000 N
Step-by-step explanation:
Given:
Mass m = 1000 kg
Acceleration a = 5 m/s^2
Force F =?
By Newton's first law of motion:
F = ma
F = 1000 * 5
F = 5000 N
(N = Newton, unit of force is Newton and is written as N. )
Estimate the value of 102.3 divided 4.7
Answer: 21
Step-by-step explanation: 21.7659574 would be the exact awnser but to estimate you can just say 21
Answer:
It is actually 20.
Step-by-step explanation:
A pie crust recipe calls for 2 cups of butter for each 3 cups of flour. Elliette is making enough crust to use up 8 cups of flour. How many cups of butter will she need?
-3(1+6r)=14-r
in class need help
Answer:
r = -1
Step-by-step explanation:
-3(1+6r)=14-r
Distribute the -3
-3*1 -3*6r = 14-r
-3 -18r = 14 -r
Add 18r to each side
-3-18r+18r = 14-r+18r
-3 = 14+17r
Subtract 14 from each side
-3-14 = 14+17t-14
-17 = 17r
Divide by 17
-17/17 = -17r/-17
-1 =r
2x + 3 = 5, then, x=
Answer:
x= 1
Step-by-step explanation:
2x1=2+3=5
Answer:
x is equals to 1..........
what's a variable?????????????
Answer:
In mathematics, a variable is a symbol which functions as a placeholder for varying expression or quantities, and is often used to represent an arbitrary element of a set. In addition to numbers, variables are commonly used to represent vectors, matrices and functions. In science, there is a independent and dependent variable.
Step-by-step explanation:
Answer:
VARIABLE MEANING: A variable is a letter used to describe an unknown number. A quantity that can change or vary, taking on different values. A letter or symbol representing a varying quantity.
CO EFFICIENT MEANING: A number next a variable behind the letter examples: 4m -3x 6y 5w
EXPRESSION MEANING: An expression is a sentence with a minimum of two numbers and at least one math operation. This math operation can be addition, subtraction, multiplication, and division.
TERM MEANING: It's either a single number or variable, or numbers and variables multiplied together. Terms are separated by + or − signs, or sometimes by divide.
Используя теорему о внешнем угле треугольника, найдите угол С.
Please help me ASAP
The radius of a circle is 4 meters. What is the circle's circumference?
r=4m
Use 3.14 for pie
This value is approximate because pi = 3.14 is approximate
===========================================================
Work Shown:
r = 4 = radius
pi = 3.14 approximately
C = circumference
C = 2*pi*r
C = 2*3.14*4
C = 25.12
The circumference is approximately 25.12 meters.
Side note: The circumference is the same as the perimeter of a circle.
A union negotiates for a cost of living raise of 7%. What is the raise for a union member whose salary is $40,240? What is this person’s new salary?
$2816.80 is the raise
21 is 30% of 70
David is running a unique coffee shop. He
charges $25 per coffee. If a customer pays
$67 for 2 coffees, how much change should
be given back by David?
over which of the following approximate intervals is the water level decreasing
pls help !
Answer:
B and C
Step-by-step explanation:
It is going down
Write an algebraic expression for the following word expression.
13 more than the product of m and 3
Evaluate the expression for the value of the variable: 6
Answer:
3m + 13 = 31 I hope this helps you!
Need Help Please!!!!
Answer:
lol hard!
Step-by-step explanation:
What is 0.000056023 written in scientific notation?
Answer:
5.6023 × 10^-5
Step-by-step explanation:
Let me know if you need an explanation.
Answer:
0.00005602
Step-by-step explanation:
0.00005602
(hope this helps can i plz have brainlist :D hehe)
5 is not more than x
Answer:
well we don't don't know...because x is unknown
Answer:
There no problem but 5<=x in equation form
Step-by-step explanation:
That way because x can either be five or higher
what is the answer to 35% of 820
Answer:
35%of 820
35/100×820
287
...........
Answer:
287
Step-by-step explanation:
100% = 820
35% = 820 ÷ 100 × 35
= 287
Solve the following system of equations using substitution, elimination, or elimination by multiplication.
Tom needs to buy a wood board long enough to cut into 4 pieces,
each of which needs to measure 8.5 inches. Estimate to the nearest inch
7
how long of a board Tom needs to buy.
A. 36 inches
B. 32 inches
C.40 inches
D. 9 inches
I NEED THE VALUE OF X PLEASE HELP!
Answer: 25.81
Step-by-step explanation:
We can see its a right triangle and then with Squareroot(21^2 + 15^2) = 25.81
Someo ne pllllzzzz help me asap i will give brain thingy and 20 points!
Part 1) Finding the inverse
Let x = r and y = H(r)
We have the equation y = 6240(1 + x/100)^t which is the same as saying y = 6240(1 + 0.01x)^t since 1/100 = 0.01
From here, swap x and y to get the equation x = 6240(1+0.01y)^t
Let's solve for y
x = 6240(1+0.01y)^t
6240(1+0.01y)^t = x
(1+0.01y)^t = x/6240
1+0.01y = (x/6240)^(1/t)
0.01y = (x/6240)^(1/t)-1
100*0.01y = 100*((x/6240)^(1/t)-1)
y = 100*((x/6240)^(1/t)-1)
y = 100*(x/6240)^(1/t) - 100
This becomes r = 100*(H/6240)^(1/t) - 100 after we replace y with r and x with H. Note the r and H swapped places, just like x and y did. Earlier we had H isolated on the left, but now r is isolated on the left.
We could write r(H) = 100*(H/6240)^(1/t) - 100 to mean the same thing.
So what exactly does this inverse function do? Well the original function tells us the number of households for any given growth rate, which is r.
The inverse function swaps things around to allow us to find the growth rate if we know how many households there are. We're working backwards. In both cases, t is held to some constant fixed value.
===========================================================
Part 2) Finding the growth rate if the number of households is 7800 after 3 years.
We're going to plug in H = 7800 and t = 3 into the inverse function we found to determine the value of r, or r(H)
r(H) = 100*(H/6240)^(1/t) - 100
r(7800) = 100*(7800/6240)^(1/3) - 100
r(7800) = 7.72173450159419
You'll need your calculator to get this approximate value. After rounding to two decimal places, we get r(7800) = 7.72
Since r = 7.72, this means the growth rate is 7.72%
Riko is ordering a submarine sandwich for 6 people. Each person will eat the same size section of the sandwich. The section size should be at least 4 inches. What is the length of the smallest sandwich Riko should order?
Answer: 24 inches.
Step-by-step explanation:
If each section length is 4 inches, then that means that each person will need to eat a sandwich section that is at least 4 inches.
There are 6 people, which means that each person will eat 4 inches of a sandwich.
To calculate the length of the sandwich Riko should order, we should mutliply 6 by 4, because there are 6 people and each person will be eating 4 inches of a sandwich.
6 x 4 = 24.
In conclusion, the smallest sandwich Riko should order is a sandwich that is 24 inches long.
(Quick Note: This is also the smallest sandwich Riko could order, because the text states that each person eats at least 4 inches.)
what is the answer to the question -6=n+5n
Answer:
-1=n I believe would be the answer.
-5x = 25
what is the answer for x?
Answer:
i think its -5
Step-by-step explanation:
if you devide 25 by -5 you get -5
Answer: x = -5
Step-by-step explanation:
We can use inverse operations to solve the equation. Because the term "-5x" is multiplication (because you are multiplying x by -5), we can use division to solve the equation.
First, we will divide -5 from 25.
25 ÷ -5 = -5.
Because of this, x = -5!
If we're not sure, we can also check the equation.
-5 x -5 = 25, so the answer is true.
In conclusion, x = -5!
Solve for p.
98 = 4p + 38
Answer:
P=15
Step-by-step explanation:
Answer:
P=15
Step-by-step explanation:
first:
98-38=60
4p=60
60÷4=15
P=15
hope that helped :)
PLEASEEEE HELPPPPPP!!!
Answer:
18
Step-by-step explanation:
What does A represent in "BA+AB+AB+CAA"
Answer:
that looks hard sorry i cant help you good luk .
Can anyone answer this for me thanks.
Answer:
ghhhbvhnv
Step-by-step explanation:
kjkjkjjn,nj,jn,jn
if layla can right 20 essays in 15 minutes and 8 in 6 minutes then how many can she right in 45 minutes?
Answer:
60! hope this helps!
Step-by-step explanation: