Solve using the Quadratic Formula. 3x2 - 7x - 3 = 0
Answer:
[tex]\displaystyle x_1=\frac{7+ \sqrt{85}}{6}\approx 2.70\\\displaystyle x_2=\frac{7- \sqrt{85}}{6}\approx -0.37[/tex]
Step-by-step explanation:
Quadratic Formula
Given the second-degree equation:
[tex]ax^2+bx+c=0[/tex]
The solutions of the equation can be obtained by applying the formula:
[tex]\displaystyle x=\frac{-b\pm \sqrt{b^2-4ac}}{2a}[/tex]
The equation to solve is:
[tex]3x^2-7x-3=0[/tex]
Which means the values of the coefficients are: a=3, b=-7, c=-3. Substituting the values in the formula:
[tex]\displaystyle x=\frac{-(-7)\pm \sqrt{(-7)^2-4(3)(-3)}}{2(3)}[/tex]
[tex]\displaystyle x=\frac{7\pm \sqrt{49+36}}{6}[/tex]
[tex]\displaystyle x=\frac{7\pm \sqrt{85}}{6}[/tex]
There are two real solutions for this equation:
[tex]\displaystyle x_1=\frac{7+ \sqrt{85}}{6}[/tex]
[tex]\displaystyle x_2=\frac{7- \sqrt{85}}{6}[/tex]
The approximate values of both roots are:
[tex]x_1\approx 2.70[/tex]
[tex]x_2\approx -0.37[/tex]
At 2:00 AM in Alaska, the temperature was -1°F. The temperature dropped 3 degrees each hour after that. What
was the temperature 3 hours later?
A -8°F
B
-23 F
C -4°F
D-124 F
Answer:
-10* F
Step-by-step explanation:
What confuses me is that the answers you have provided aren't correct, when I made a number line starting at 0 and ending at -23* F and I had counted three degrees for each hour I got -10* F.
2am 3am 4am 5am
0 -1 -2 -3 -4 -5 -6 -7 -8 -9 -10 -11 -12 -13 -14 -15 -16 -17 -18 -19 -20 -21 -22 -23
2am is at -1* F, 3am is at -4* F, 4am is at -7* F, and 5am is at -10* F.
This is over the course of three hours after 2am so unless I got this wrong you might want to ask your teacher.
Answer: -10 degrees
None of those 4 choices are correct
What is 29202 - 1873
Answer:
27,329
Step-by-step explanation:
Answer:
27329
Step-by-step explanation:
I substracted :D
The answer is
(W+ 10)(w+16)
But can you please explain how and why that is the answer
Answer:
w = 0.5 because if you mesure it with a ruler you’d get that answer.
The area of the mat with the painting will be equal to (W+10)(W+16) square inches.
What is the area of the rectangle?The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.
Given that the sides of the rectangle are 16 inches and 10 inches. The extra width of the mat is w inch on each side.
The total sides of the total painting and the mat will be,
Length = L + W=16 +W
Width = 10 + W= 10 +W
The area will be calculated as,
A = ( 16 + W ) ( 10 + W )
Therefore, the area of the mat with the painting will be equal to (W+10)(W+16) square inches.
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Write 9,150,000 in scientific notation
Answer:
9.15x10^6
Step-by-step explanation:
Step-by-step explanation:
9, 150, 000 = 9.15*10^6
You send a text to a friend. Your friend forwards it to 10 other friends, who each forward it to 10 more friends. The pattern continues for 5 rounds after your first text.
a. How many people will receive the text during the 4th round? Write your answer in scientific notation and in standard form.
b. How many total people have received the text? Write your answer in standard form. Explain your calculation.
Answer:
a. The number of people that receive the text in the fourth round are 10³ people
b. The total number of people that receive the text are 1.1111 × 10⁴ people
Step-by-step explanation:
a. The given information are;
The number of people the text is sent to in the first round = 1
In the second round, the number of people the text is sent to by people in the first round = 10
In the third round, the number people the text is sent to by the 10 people in the second round = 10 × 10 = 100 people = 10² people
In the fourth round, the number of people the text is sent to by the people in the third round = 100 × 10 = 1000 people = 10³ people
The number of people that receive the text in the fourth round = 10³ people
b. In the fifth round, the number of people, the people in the fourth round send the text to = 1000 × 10 = 10000 people = 10⁴ people
The total number of people that receive the text = 1 + 10 + 10² + 10³ + 10⁴ people = 11111 people = 1.1111 × 10⁴ people
a rectangle is 25 feet long its area 375 square feet.
What is the perimeter of the rectangle
Area = length x width.
Divide the area by the length of find the width.
Width = 375/25 = 15 feet.
The perimeter is the sum
Of the 4 sides.
Perimeter = 25 + 25 + 15 + 15 = 80 feet.
The perimeter of a rectangle is 80 feet.
Given that, the length of a rectangle=25 feet and area of the rectangle=375 square feet.
We need to find the perimeter of a rectangle.
What is the formula to find the perimeter of a rectangle?The perimeter of a rectangle is the total distance of its outer boundary. It is twice the sum of its length and width and it is calculated with the help of the formula: Perimeter = 2(length + width).
We know that, the area of a rectangle=length×width
Now, the area of a rectangle=25×width
⇒375=25×width
⇒Width=15 feet
So, perimeter = 2(25+15).
=80 feet
Therefore, the perimeter of a rectangle is 80 feet.
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F(x)=20x Calculate how high he will be at 5, 25, and 60 minutes.
F(5)=
F(25)=
F(60)=
Answer:
f(5) = 100
f(25) = 500
f(60) = 1200
Step-by-step explanation:
All you had to do was pulug in the f(x) into the x.
F(5) = 20 (5) = 100
f(25) = 20(25) = 500
f(60) = 20(60) = 1200
PLZ MARK ME BRAINLIEST!!!!
Lewis is saving for a down payment of $8,750 on a house. The initial amount of money he has saved is $250, and the amount of money he plans on saving every month is $340. To model the situation, he created this equation, where x represents the number of months and y represents the total amount of savings: y = 250 + 340x. Determine the missing steps and justifications.
Answer:
Steps have justified that;
y = $250 + $340x
Step-by-step explanation:
We are told Lewis is saving for a down payment of $8,750 on a house.
Now, the initial amount of money he has saved is $250, while the amount of money he plans on saving every month is $340.
Thus, if x represents the number of months and y represents the total amount of savings. It means that;
For x number of months, he saves; $340x
Now, the initial amount he saved is $250.
This means that the total amount he would have saved after x number of months is;
Total amount saved = Initial savings + Amount saved monthly after x number of months.
Now, total amount saved is denoted as y as given in the question, then we have;
y = $250 + $340x
Answer:
subtraction
y-250=340x
division
y-340=250x
Step-by-step explanation:
If you are given the points: ( 4 , 10 ) and ( 8 , 9 ), what are your y1 and y2?
A y1 = 10 and y2 = 9
B. y1 = 4 and y2 = 8
C. y1 = 9 and y2 = 10
D. y1 = 9 and y2 = 10
3.1 × 10^-4 in standard form
Answer:
Its 0.00031
Step-by-step explanation:
You just move your decimal the number of exponent. In your case -4 so you would move it to the left because it's a negative and move it 4 spaces.
Hope this helps!
Can someone help me wit da question listed in da picture?
Answer:
Add 8 to both sides
Step-by-step explanation:
Normally after adding 8 to both sides you'd solve for x by then dividing by -5, but they just want u to explain what to do lol.
ANSWER AS SOON AS POSSIBLE!!
Joan goes to the store and spends $56.50 on 5 small coolers. What is the unit rate that Joan paid for the coolers?
Please explain your answer!
Answer:$11.3 per cooler
Step-by-step explanation:
Answer:
about 11.30
Step-by-step explanation:
If you divide 56.50 by the unit , you will end with the unit price , which is about 11.30 ish
12. (01.06)
Which phrase matches the algebraic expression below? (1 point)
2(x + 7) + 10
A.Two times the sum of x and seven plus ten
B.Two times the difference of x and seven plus ten
C.Two times x minus seven plus ten
D.Two times x plus the sum of seven and ten
Answer:
I choose my choice as A
Step-by-step explanation:
Two times the sum of (x+7) x plus seven plus ten (+10)
A rectangular parcel of land has an area of 8,000 ft2. a diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. what are the dimensions of the land, correct to the nearest foot? ft (smaller value) by ft (larger value)
Answer:
Step-by-step explanation:
Let the area of the rectangle be Length × width
LW = 8000
If the diagonal is 10feer greater than one of its length then:
D = 10+L
Diagonal is represented using the Pythagoras theorem as shown:
D² = L²+W²
(10+L)²= L²+W²
100+20L +L² = L²+W²
From LW = 8000
W = 8000/L
100 + 20L = (8000/L)²
100 +20L = 64,000,000/L²
Cross multiply
100L² + 20L³ = 64,000,000
2L³+10L² = 6,400,000
L³+5L² = 3200000
L³+5L² -3200000 = 0
Answer:
55 ft by 146 ft
Step-by-step explanation:
Given the following :
Area of rectangle = 8000 ft^2
Area of rectangle = length(L) * width(W)
Let length of a side = x
Length of side 2 = 8000 / x
Diagonal = 10 feet longer than one side = (x + 10)
The diagonal is the hypotenus = (x + 10)²:
Hyp² = (8000/x)² + x²
(x + 10)² = (8000/x)² + x²
x² + 20x + 100 = 64,000,000 / x² + x²
20x + 100 = 64,000,000 / x²
(20x + 100) * x² = 64,000,000
20x³ + 100x² - 64,000,000 = 0
x³ + 5x² - 3200000 = 0
Using calculator
x = 145. 71 = 146 ft
8000 / x
8000/145.71
= 54.9 ft
= 55ft
55ft by 146 ft
-2(x + 4) + 5x = 4
It's easier than it looks, but I still have problems.
[tex] \huge\boxed{Answer:} [/tex]
[tex] \sf -2(x + 4) + 5x = 4 \\\\\sf
=-2x-8+5x=4 \\\\\sf
=5x-2x-8-4=0 \\\\\sf
=3x-12=0 \\\\\sf
=3x=12 \\\\\sf
x=\frac{12}{3}\\\\\sf
x=\frac{ \cancel{12}}{ \cancel{3}}\\\\\sf
x=4
[/tex]
Hi, I am from India......
Happy to help you..
subtract 3 from the cube of f
Answer:
F^3-3................
Mr. Bauer deposits $600 in an account that earns simple interest at an annual rate of 2%.
Answer:
The answer to this is:
600 ( 1 + 3 x 0.02)
The set of whole numbers is closed under addition. True or False?
Answer:
it's true
Step-by-step explanation:
the answer is true check the pic above for explanation
For
the function pictured below. Fill in the following values.
a.Domain:
b. Range:
e increasing Interval:
d. Decreasing Interval:
e. Positive Interval(s]
f. Negative Interval (s:
g.Max:
h.min. i.Rate of Change (Slope) [2. 4]:
Answer:
1. (-∞, ∞), [-4, ∞), (2, ∞), (-∞, 2), (-∞, 0) ∪ (4, ∞), (0, 4), DNE, -4, 2
2. y = -|x -4| -2
Step-by-step explanation:
1.
a. the domain is the horizontal extent, (-∞, ∞)
b. the range is the vertical extent, [-4, ∞)
c. the function is increasing where it goes up to the right, (2, ∞)
d. the function is decreasing where it goes down to the right, (-∞, 2)
e. the function is positive where it is above the x-axis, (-∞, 0) ∪ (4, ∞)
f. the function is negative where it is below the x-axis, (0, 4)
g. the function extends to ∞, so has no maximum value
h. the vertex is the low point, or minimum value, -4
i. the function increases from -4 to 0 on the interval [2, 4] so has an average rate of change of (0 -(-4))/(4 -2) = 4/2 = 2
__
2. Reflection across the x-axis negates every y-value. Multiply the given function by -1:
y = -|x-4| -2
Help me answer these questions please
Answer:
I need points im so sorry
Step-by-step explanation:
dhduehhshxjs
Eight cars are to be parked in a row for viewing at a fair. Three of the cars are the same colour and are to be kept together in the viewing row. Determine the number of possible arrangements of the cars, given that the three cars of the same colour are kept together.
Answer:
720 possible arrangements.
Step-by-step explanation:
The possible arrangement of the cars, given that the three cars of the same color are kept together is 4320.
What is combination?The combination is a way of selecting items from a collection where the order of selection does not matter.
We have,
Number of cars = 8
Number of cars that are the same in color = 3
Cars that are the same in color can be arranged = 3!
There are 8 cars such that,
1 2 3 4 5 6 7 8
Three cars of the same color are taken out and we have,
1 2 3 4 5
We see that there are six spaces = 6!
where we can put the same color cars together so,
The possible arrangement of the cars, given that the three cars of the same color are kept together:
= 3! x 6!
= 3 x 2 x 1 x 6 x 5 x 4 x 3 x 2 x 1
= 4320
Thus,
The possible arrangement of the cars, given that the three cars of the same color are kept together is 4320.
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Complete the sentence with the phrase that makes the proof statement true. Segment PR is perpendicular to segment QS. Angle QRP is a right angle A. by the definition of perpendicular. B. because angle Q is congruent to angle S. C. by the Reflexive Property of Equality. D. because PQR is an isosceles triangle.
Answer:
A. by the definition of perpendicular.
Explanation:
Indeed, in geometry, for lines to be termed as been perpendicular, it means that two lines met at a right angle (90 degrees).
From the attached image we could see that Segment PR is perpendicular to segment QS as it touches or meets with segment QS which follows the definition of perpendicular. Also, Angle QRP is a right angle because it is exactly 90 degrees.
Help me ASAP please I don't understand it please help It is dued by TONIGHT
So, the first blank is for what kind of angle it is: acute, obtuse, reflex, straight, or right. The second blank is for what the measure of the angle is. You can find that out by looking at the protractor. It should tell you what the measure of the angle is. You can read the protractor by looking at the numbers. The numbers are the degrees of incline the angle measures, which is what you're looking for.
Write the decimal as a fraction.
0.017
Answer:
The answer would be 17/1000
Step-by-step explanation:
Answer:0.017 as a fraction would be 17/1000
Step-by-step explanation:
Can you answer which ones are impossible , unlikely , as likely as not , likely , or certain ?
This is the equation for the distance from the oven to the point (x,y). True or false
Answer:
true
Step-by-step explanation:
Dr. Bhatia mixes 2 liters of a 5% saline solution with x liters of a 9% saline solution. The table shows the amount of each solution used
Answer:
6
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
give me brainliest
Q. Which of these graphs matches the equation y = -3x?
Answer: C
.......................
Answer: A
Step-by-step explanation:
How do you make a graph given an equation