Answer:
x = 1 or x = -5
Step-by-step explanation:
Solve for x:
x^3 + 3 x^2 - 9 x + 5 = 0
The left hand side factors into a product with two terms:
(x - 1)^2 (x + 5) = 0
Split into two equations:
(x - 1)^2 = 0 or x + 5 = 0
Take the square root of both sides:
x - 1 = 0 or x + 5 = 0
Add 1 to both sides:
x = 1 or x + 5 = 0
Subtract 5 from both sides:
Answer: x = 1 or x = -5
a Runway is 3100 ft long and 65 ft wide what is the area of the runway in feet squared
Answer:
201, 500ft²
Step-by-step explanation:
The formula for calculating area in this case is;
A = w × l
This means we're going to take the width of the runway (65ft) and multiply it by the length of the runway (3100ft).
(To make it easier on paper, you can swap the two numbers around, so the higher number is on top, and the smaller number is on the bottom - 3100 × 65. It won't change the answer, but it will make it quicker and easier to get to the result, and lessens the chances making a mistake.)
So the equation you need to do is;
3,100 × 65 = 201, 500.
Add on the units, and there's your answer;
201, 600ft²
Hope this helped!
In converting 750 ounces to pounds, what unit (omit the number) would you
place in the denominator of your ratio? Use the plural form in your answer.
Remember that there are 16 ounces in 1 pound.
Answer:
I would use the pounds.
Step-by-step explanation:
The reasoning behind using the pound is, if you are using fractions per say to get a side by side ration when you are doing 16 ounces to 1 pound you would want to have a unit rate.
750 ounces 16 ounces
------------------- -----------------
x pounds 1 pound
Do you see how much easier it is to convert from ounces to pounds when you have a unit rate? Now once you see how many times you had to multiply 16 to get 750 you can easily multiply that number by 1!
At a family gathering there are 100 people. There are 4 less than twice as many women as men and 6 more children are both combined. How many children are at the gathering? Pick one option below.
• 55 Children
• 57 Children
• 53 Children
• 59 Children
there are 53 children in the family gathering
Answer:
C = 53
Step-by-step explanation:
WHAT WE KNOW
m + w + c =100
2w - 2 = m
6 + w + m = c
-------------------------
FIND C
Samira wants to create a weekly budget. She knows how much she wants to save for a whole year. Which number should she divide the total savings for to find the value of savings for one week?
Answer: 52 weeks
Step-by-step explanation:
There are 52 weeks in a year, so she should divide her number by 52.
━━━━━━━☆☆━━━━━━━
▹ Answer
52 weeks
▹ Step-by-Step Explanation
1 year = 52 weeks
Since she is trying to find her weekly savings, she would divide by the amount of weeks in a year which is 52 weeks.
Hope this helps!
- CloutAnswers ❁
Brainliest is greatly appreciated!
━━━━━━━☆☆━━━━━━━
Please help I will mark brainliest if you explain WHY the answer is that in simple terms. A thanks and brainliest!
Answer:
The answer will be 7L/100km.
Step-by-step explanation:
The fuel consumption rate is already given for the first 100 km. So, the next 500 km will be 100km to 600km. You have to find the slope of the line during this travel. If you observe, the fuel lowers from 40 litres to 5 litres in this 500km journey. That means, 35 litres were used for 500km. Divide both with 5. That gives 7litres per 100km.
Hey there! :)
Answer:
x = 7L/100km.
Step-by-step explanation:
Solve this problem by using the slope formula:
[tex]m = \frac{\text{rise}}{\text{run}} = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
Use the points (100, 40) and (600, 5) and plug these into the formula:
[tex]m = \frac{5-40}{600-100}[/tex]
Simplify:
[tex]m=\frac{-35}{500}[/tex]
Since this is describing the rate of consumption, we can simply write the slope as:
[tex]m = \frac{35}{500}[/tex]
The question is asking for the rate of consumption over 100 km, therefore:
[tex]\frac{35}{500} = \frac{x}{100}[/tex]
Cross multiply:
3500 = 500x
Divide both sides by 500:
3500/500 = 500x/500
x = 7L/100km.
Valerie ran Three and one-fourth laps yesterday, and her coach wants her to run Two and one-half times that many laps today. How many laps will she need to run today? Choose the expression needed to solve the problem. Thirteen-fourths × Five-halves Thirteen-fourths × Two-fifths Four-thirteenths × Five-halves Four-thirteenths × Two-fifths
Answer:
13/4 * 5/2
Step-by-step explanation:
In the question, it says that her coach wants her to run 2 1/2 TIMES the original 3/4 she had ran. Therefore, you would want to make the fractions into improper fractions, and then multiply, which is how you would get 13/4 * 5/2.
Please help I need it
Answer:
[tex] \frac{1}{3} [/tex]
Step-by-step explanation:
so
just consider the lengh:
[tex] \frac{1}{3} [/tex]
or the width :
[tex] \frac{3}{9} [/tex]
or the area:
[tex] \sqrt{ \frac{3 \times 1}{9 \times 3} } = \sqrt{ \frac{3}{27} } = \sqrt{ \frac{1}{9} } = \frac{1}{3} [/tex]
х
f(x)
Which exponential function is represented by the
values in the table?
-2
16
-1
8
0
4
1
2
O f(x) =
= {(4)
Of(x) = 4(4)
O f(x) = 4(
o f(x) = ( )
2
1
Answer:
it's the first one because it's going down by 1/2
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Exponential functionAn exponential function is in the form:
y = abˣ
where y, x are variables, a is the initial value of y and b is the multiplier.
From the table, at point (0, 4):
4 = ab⁰
a = 4
At point (2, 1):
1 = ab²
1 = 4b²
b² = 0.25
b = 0.5
The exponential function represented by the values is f(x) = 4(0.5)ˣ.
Find out more on Exponential function at: brainly.com/question/12940982
2.
What is the next term of the arithmetic sequence 6, 10, 14, 18, ...?
Answer:
22
Step-by-step explanation:
In this sequence, the next number is found by adding 4.
Answer:
22
Step-by-step explanation:
10 - 6 = 4
so, all next numbers have to be added by 4
12-3*y=0 help and explain plss
12-3*y = 0
Subtract 12 from both sides:
-3 * y = -12
Divide both sides by -3:
y = 4
Answer:
y=4
Step-by-step explanation:
Standard form:
−3y + 12 = 0
Factorization:
−3(y − 4) = 0
Solutions:
y = 12/3 = 4
Isolate the variable by dividing each side by factors that don't contain the variable:
y=4
Help, please. I tried a bunch of different value but none of them matched up. Help if you can,thanks. :))) Andrew goes to the shop to buy some apples and bananas. He goes to purchase 5 apples and 4 bananas, and the total comes to £5.70. Unfortunately, he doesn’t have enough money, so he puts back 1 apple and 2 bananas. The new total is £3.60. What is the cost of 1 apple and the cost of 1 banana?
Answer:
Applies are £0.50 each and bananas £0.80 each.
Step-by-step explanation:
Represent the numbers of apples and bananas by a and b respectively.
Then:
5a + 4b = £5.70, and:
4a + 2b = £3.60
Let's solve this system using elimination by addition/subtraction. Multiply the 2nd equation by -2, obtaining the equivalent system
5a + 4b = £5.70
-8a - 4b = -£7.20
--------------------------
-3a = -£1.50
Dividing both sides by -3, we get £0.50. Apples are £0.50 apiece.
How much are bananas per piece? Use the first equation; substitute £0.50 for a:
5(£0.50) + 4b = £5.70, or
4b = £3.20. Then b = £0.80.
Applies are £0.50 each and bananas £0.80 each.
Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS.
Answer:
24 inches
Step-by-step explanation:
After folding the piece of paper, the result will be 1/4 the size of the original square. If you multiply the are of the triangle by 4, you will find that the area of the original square is 36 square inches. The square root of 36 is 6, which shows us that the length of each side of the square is 6. To get the perimeter, multiply 6 by 4 to get 24 inches.
The area of polygon MNOPQR = Area of a rectangle that is 9 square units + Area of a rectangle that is ___ square units. (Input whole numbers only, such as 8.) plss help 20 or 15 points i believe <3
Answer:
Area of polygon MNOPQR = 13 units
Step-by-step explanation:
Area of smaller rectangle:
(7-3)= 4 units multiplied by (3-2) = 1 unit
= 4 sq. units.
Area of polygon MNOPQR
= 3*3 units + 4*1 units
= 9 units + 4 units
= 13 units
What is the result of subtracting the second equation from the first?
-4x - 2y = -2
x - 2y = 9
Answer:
-5x + 0y = -11
The y terms are eliminated
Step-by-step explanation:
- 4x – 2y = -2
X - 2y = 9
We want to subtract the second equation from the first
Distribute a minus sign to all the terms in the second equation
- 4x – 2y = -2
X - 2y = 9
= (-5x + 0y = -11)
will mark brain edgiunuity ASAP Eight hundred tickets are sold for a play. Thirty-five percent of those tickets were sold in advance. Which equation can be used to find the number of tickets sold in advance? StartFraction 800 divided by 8 Over 35 divided by 8 EndFraction = StartFraction 100 Over 4.375 EndFraction StartFraction 100 divided by 8 Over 800 divided by 8 EndFraction = StartFraction 12.5 Over 100 EndFraction StartFraction 35 times 8 Over 800 times 8 EndFraction = StartFraction 280 Over 6400 EndFraction StartFraction 35 times 8 Over 100 times 8 EndFraction = StartFraction 280 Over 800 EndFraction
Answer:
D on edge
Step-by-step explanation:
merry christmas my elf on the shelf/Farkle is so good and nice ;)
Answer:
d
Step-by-step explanation:
I NEED HELP ASAP!!!!This table shows how many male and female students attended two different movies. What is the probability that a randomly chosen person from this group an action movie?
Answer:
0.43 is the answer
Step-by-step explanation:
you need to take the total of action movie and divide it by the grand total.
204/478 ≈ 0.43
The probability that a randomly chosen person from this group an action movie is 0.43.
What is probability?Probability refers to the idea that an event may or may not happen. The scenario described here is a mutually exclusive event. We must recall that in cases of a mutually exclusive event, we add probabilities.
Hence;
Probability of a male watching an action movie = 105/479
Probability of a female watching an action movie = 99/479
probability that a randomly chosen person from this group an action movie = 105/479 + 99/479 = 0.43
Learn mor about probability: https://brainly.com/question/14227610
What is the slope of the line that contains the points (-1, 2) and (4, 3)? A. 5 B. 1/5 C. -1/5 D. -5
Answer:
1/5
Step-by-step explanation:
We can find the slope of a line using two points by
m = (y2-y1)/ (x2-x1)
= (3-2)/(4 - -1)
(3-2) /( 4+1)
1/5
Answer:
B. 1/5
Step-by-step explanation:
The slope can be found through two points.
m = rise/run
m = (y2 - y1)/(x2 - x1)
m = (3 - 2)/(4 - (- 1))
m = 1/(4+1)
m = 1/5
Th slope of the line going through the points (-1, 2) and (4, 3) is 1/5.
Let PQRS be a square piece of paper. P is folded onto R and then Q is folded onto S. The area of the resulting figure is 9 square inches. Find the perimeter of square PQRS.
Answer:
24 inches
Step-by-step explanation:
After folding the piece of paper, the result will be 1/4 the size of the original square.
Find the domain for the rational function:
Answer:
3rd Option
Step-by-step explanation:
Since the denominator cannot equal 0, x ≠ 5. Therefore, our domain stops and starts again at 5. So our answer is 3rd option.
In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?
Answer:
Total combination = 180,180
Step-by-step explanation:
It is a combination based problem.
So,
Total people = 13
Group = 3,6,2,2
So,
For 6 people
13C6= 1,716
For 3 people
7C3 = 35
For 2 group of 2 people
(4C2)/2 = 3
Total combination = 1,716 × 35 × 3
Total combination = 180,180
In ∆ABC the angle bisectors drawn from vertices A and B intersect at the point D. Find m∠ADB if:
m∠A = α, m∠B = β
Answer:
Pretty easy (if you know geometry)!
Step-by-step explanation:
First, we know that A and B have angle bisectors. This means the angles that are divided by that angle bisector are equal (or their measures).
Thus, m<DBA= 1/2 Beta; m<DAB=1/2 Alpha.
Time to find m<ADB. Using the sum of all angles in a triangle = 180* theorem, we can come up with this equation:
[tex]180= m<ADB+\frac{1}{2} \alpha +\frac{1}{2} \beta[/tex]
So, solving:
[tex]180-\frac{1}{2} \alpha -\frac{1}{2} \beta =m<ADB[/tex]
So there you go! Hope this helps!
Which side lengths form a right triangle?
Answer:
B. 5, 12, 13
Step-by-step explanation:
√5²+12²=13 - yes
√4²+7²= 8.06- no
√20²+22²=29.73 - no
What is the  property 7x<42
Answer: division
x = 6
Step-by-step explanation:
Simplifying
7x = 42
Solving
7x = 42
Solving for variable 'x'.
Move all terms containing x to the left, all other terms to the right.
Divide each side by '7'.
x = 6
Simplifying
x = 6
Answer:6
Step-by-step explanation:
am I correct? if not what's the correct anwser?
Answer:
Yes, you are as far as I can tell it looks right to me,
Origami is the Japanese art of paper folding. The diagram below represents an unfolded paper kabuto, a samurai warriors helmet. From the kabuto below, which of the following are pairs of congruent angles? Check all that apply.
Answer:
A,C,&D
Step-by-step explanation:any funny bur cute romance anime recommendations?
Which step is wrong??
Answer:
step 1 is wrong because when an absolute opens there are two possibilities of solutions and there will be sign ±
Step-by-step explanation:
i hope this will help you :)
Find the percent of change on an item that was $44 and now costs $66.
Answer:
33.3%
Step-by-step explanation:
the increase in price was $22. Find the ratio
$22
-------
$66
which comes out to 0.33333, or 33.3%.
The percent change in the price of the item is 33.3%.
Answer:
It could be 3.3 i'm not to sure- but the other answer was incorrect
Step-by-step explanation:
What is the slope of the trend line drawn into the scatterplot? On a graph, a line goes through points (2, 27) and (13, 36). StartFraction 15 Over 163 EndFraction StartFraction 11 Over 109 EndFraction StartFraction 109 Over 11 EndFraction StartFraction 163 Over 15 EndFraction
Answer:
15/163
Step-by-step explanation: I dont have one
Answer:
i think its D
Step-by-step explanation:
The sides of a rectangle are a number and 4 less than that same numbers. The perimeter is 56. Find the dimensions of the rectangle.
Answer:
16m and 12m
Step-by-step explanation:
2x + 2(x - 4) = 56
4x = 64
x = 16
Sides are 16 m and 12 m
In the diagram, the measure of angle 2 is 126°, the measure of angle 4 is (7x)°, and the measure of angle 5 is (4x + 4)°. A transversal intersects 2 lines to form 8 angles. Clockwise from the top left, the angles are 1, 2, 3, 4; 5, 6, 7, 8. What is the measure of angle 7, to the nearest degree? 35° 54° 76° 104°
Answer:
The correct option is C
C) 76°
Step-by-step explanation:
The question is incomplete because the figure is not given. I have attached the figure of the same question below. Consult it for better understanding.
We can see in the figure that <2 and <4 are opposite angles, therefore these are equal.
<2 = <4
126 = 7x
x = 18
Similarly we can also see that <5 and <7 are also opposite angles, therefore they are equal too.
<7 = <5
<7 = 4x+4
Substitute x=18
<7 = 4(18) + 4
<7 = 76°
Answer:
option c
Step-by-step explanation:
hope this helps :)