Answers
Answer:
You're correct
Step-by-step explanation:
Solve using FOIL
(x-3)(x+10)
x²+10x-3x-30
x²+7x-30
That's the same as the equation in the beginning, so you are right.
Related Questions
Calculate each unit rate.
a) A bus traveled 288 km in 4 hours.
b) A fish swam 75 m is 25 s.
c) Seven lemons cost $1.40.
d) $250 for a 5-day car rental.
Answers
Answers:
a) 72 km per hourb) 3 meters per secondc) 0.20 dollars or 20 cents per lemond) 50 dollars per day====================================
Explanation:
a) Divide the distance over time to get the unit rate, which is the speed in this case. Speed = distance/time = 288/4 = 72 km per hour. b) Like before, divide the distance over time to get 75/25 = 3 meters per second.c) We want the cost of 1 lemon. So we'll divide the total cost over 7 to get (1.40)/7 = 0.20 dollars = 20 cents per lemond) Divide the total cost over the 5 day period. This will get the cost of each day. So we have a unit cost of 250/5 = 50 dollars per day.8 kilómetros a metros
Answers
Answer:
8 kilómetros son 8000 metros
square DEFG is inscribed in equilateral triangle ABC with a side length of 3+2√3.
Find: area of the square
Answers
Answer:
9 units²
Step-by-step explanation:
**Refer to the attached diagram**
The angles in the right triangle FAD (and HBE) are 30-60-90 which means that its sides will be in the ratio 1 : √3 : 2
Let x = the smallest side
Therefore, the sides of the right triangle FAD are in the ratio x : √3x : 2x
This means that:
the side length of the square = √3xthe side length of the triangle = x + √3x + x = (2 + √3)xWe are told that the side length of the triangle is 3 + 2√3, so:
[tex]\implies 3 + 2\sqrt{3} =(2 + \sqrt{3} )x[/tex]
[tex]\implies x=\dfrac{3 + 2\sqrt{3}}{2 + \sqrt{3} }[/tex]
[tex]\implies x=\sqrt{3}[/tex]
As the side length of the square is √3x, and x = √3,
⇒ side length of the square = √3 x √3 = 3
Now we know the side length of the square, we can calculate the area:
⇒ area of a square = side length x side length = 3 x 3 = 9 units²
HELP HOW DO I SOLVE THIS
Josie wants to buy Internet access. One service provider charges a flat rate of $34.95/month. A second charges $25/month plus 33c/h. For what number of hours per month should Josie choose the flat rate?
Answers
ansewer:
25+.33h=34.95 solving for h gives h=(34.95-25)/.33 =30.15 hours. So if you are going to use more than 30 hours it better to go with the flat rate company.
Step-by-step explanation:
You want to find, h, the number of hours of usage that will make the costs for the two equal so
How to solve this? And what is the answer.
11 = -5x-2
Answers
[tex]\large \bf\blue{\bigstar\boxed{\pink{\frak{Solution}}}} \blue{ \bf\longmapsto}[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf11 = -5x-2[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf11 + 2= -5x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf13= -5x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf - 13=5x[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf 5x = - 13[/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x = \dfrac{ - 13}{5} [/tex]
[tex] \\ \\ [/tex]
[tex] \looparrowright \sf x = - 2.6[/tex]
or
[tex] \looparrowright \sf x =- 2\dfrac{3 }{5} [/tex]
Answer:
-13/5 or -2.6
Step-by-step explanation:
Step 1: Flip the equation.
−5x−2=11
Step 2: Add 2 to both sides.
−5x−2+2=11+2
−5x=13
Step 3: Divide both sides by -5.
-5x 13
----- = -----
-5 -5
x = -13/5
When 0 is in the numerator in the answer of an equation; 2x = 0; x = 0/2 , the answer is WHAT?
NOT POSIBLE
0
2
Answers
Answer:
undefined
Step-by-step explanation:
this is explained in graphing lines because if the slope is 0/2 the the line is a undefined line
ced tea. How do you make a larger batch of this mixture? Describe your procedure and use the table below to organize your results. Add more columns to the table if needed
Answers
Answer:
whats the question ?
Step-by-step explanation:
explain pls
The stadium has two tiers of spectator seats and VIP seats. The number of VIP seats is 1/12 of all seats. The ratio of the number of 1st tier seats to the number of 2nd tier seats is 7:5. If there are 600 VIP seats, how many 1st tier seats are in the stadium?
Answers
Answer:
350
Step-by-step explanation:
350 because there are 1/12 of VIP seats and there are 600 so 600 times 1/12 is 6,600.
Then you minus off the 600 VIP seats so you get 6000
next you do 600 divided bu 12 because of the 1st tier seats and 2nd tier seats combined which then you get 50
lastly you do 50 times 7 because of the ration 7:5 1st tier seats to 2nd tier seats so then you get 350
please mark brainliest i need one last one
Which temperature is colder -30 degrees or -10 degrees?
Answers
Answer:
-10 degrees celsuius is less than - 20 degrees its cold but not as cold as -10
Step-by-step explanation:
Answer:
- 30 degrees
Step-by-step explanation:
- 30 degrees
Let's look at this flipped
When the temperature is higher, the weather is hotter.
The same rule applies for the cold. When the temperature is lower, the weather is colder.
Hope this helps!
can someone help me with this equation y=-x+4 and y=3x
Answers
Answer:
y=-x+4
y=3x
so that means
-x+4=3x
+x
4=4x
x=1
Hope This Helps!!!
Express x² -5x-14 as the product of two binomials
Answers
Answer:
(x-2)(x-7)
Step-by-step explanation:
[tex]x^{2} -5x-14\\\\x^{2} -7x+2x-14\\\\x(x-7)+2(x-7)\\\\\(x+2)(x-7)[/tex]
Re-write the quadratic function below in Standard Form
y= 2(x - 2)2 – 7
Answers
Answer:
Standard form: y = 2x² - 8x + 1
Step-by-step explanation:
We are given the following quadratic function, y = 2(x - 2)² - 7, for which we must transform in its standard form.
Definition: Quadratic Function in Vertex Form:The vertex form of a quadratic function is y = a(x - h)² + k (which is the format of the given equation).
The vertex of the parabola occurs at point (h, k). The value of "a" determines the direction of the graph's opening (reflection across the x-axis); it also indicates the wideness or narrowness of the graph (vertical stretch or compression).⇒ If the value of "a" is positive, then the vertex is its minimum or lowest point on the graph.
⇒ If the value of "a" is negative, then the vertex is the maximum or highest point on the graph.
Quadratic Function in Standard Form:The standard form of a quadratic function is y = ax² + bx + c, where a ≠ 0.
Solution:Step 1: Expand the binomial, (x - 2)²:
The first step in rewriting the given equation into its standard form is expanding the binomial using the FOIL method, which transforms it into a perfect square trinomial.
y = 2(x - 2)² - 7
⇒ (x - 2)(x - 2)
⇒ [ x² - 2x - 2x + 4 ]
Step 2: Substitute the perfect square trinomial into the vertex form:y = 2(x - 2)² - 7
y = 2(x² - 2x - 2x + 4) - 7
Step 3: Distribute "2" into the parenthesis:y = 2(x² - 2x - 2x + 4) - 7
y = 2x² - 4x - 4x + 8 - 7
Step 4: Combine like terms and constants, then simplify:y = 2x² - 8x + 1.
Final Answer:Therefore, the quadratic function in standard form is y = 2x² - 8x + 1, where a = 2, b = -8, and c = 1.
_____________________________
Keywords:Quadratic equations
Parabola
Quadratic functions
Vertex form
Functions
______________________________
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Answer:
[tex]\displaystyle y = 2x^2 - 8x + 1[/tex]
Step-by-step explanation:
All you are doing is perfourming order of operations and using the Distributive Property. Here is how it is done:
[tex]\displaystyle y = 2(x - 2)^2 - 7 \hookrightarrow y = 2(x^2 - 4x + 4) - 7 \hookrightarrow y = 2x^2 - 8x + 8 - 7 \\ \\ \boxed{y = 2x^2 - 8x + 1}[/tex]
I am joyous to assist you at any time.
round 1588 to the nearest hundred
Answers
Answer:
1600
Step-by-step explanation:
By rounding 1588 to the nearest hundredth we get 1600.
Just new 7 don’t mind the triangle under it
Answers
Answer:
50
Step-by-step explanation:
total angle of a triangle should be 180 so we add the given angle and subtract it from 180
A 3-column table with 5 rows. The first column has entries empty, distance travelled (meters), time (initial) (seconds), time (final) (seconds), elapsed time (seconds), average speed (meters per second). The second column labeled Trial A has entries 4. 0, 2. 0, 2. 5, 1. 5, 2. 7. The second column labeled Trial B has entries 4. 0, 1. 5, 4. 5, empty, empty. Use the data table on the left to complete the calculations. What is the elapsed time for Trial B? s What is the average speed for Trial B? m/s.
Answers
Speed is the ratio of distance and time
The elapsed time is 3 secondsThe average speed is 1.33 meters per secondHow to calculate the elapsed timeThe elapsed time is the difference between the final time and the initial time.
So, we have:
Time elapsed = 4.5 seconds - 1.5 seconds
Evaluate the difference
Time elapsed = 3 seconds
Hence, the elapsed time is 3 s
How to calculate the average speedThe average speed is the quotient of the distance and the elapsed time.
So, we have:
Average speed = 4 meters/ 3 seconds
Evaluate the quotient
Average speed = 1.33 meters per second
Hence, the average speed is 1.33 m/s
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Answer:
Speed is the ratio of distance and time
The elapsed time is 3 seconds
The average speed is 1.3 meters per second
Renaldo has a
budget of $500 to buy gift boxes for a party.
Large boxes cost $65 and small boxes cost
$35. Write and graph an inequality that
represents the number of each type of gift
box that Renaldo can buy. If Renaldo buys
5 small gift boxes, how many large gift boxes
can he afford to buy?
Answers
Renal can buy a box that is $35
Step-by-step explanation:
The inequality is 35 × 5 + 65y ≤ 500. Then the number of large gift boxes will be 5.
What is inequality?Inequality is defined as an equation that does not contain an equal sign. Inequality is a term that describes a statement's relative size and can be used to compare these two claims.
Renaldo has a budget of $500 to buy gift boxes for a party. Large boxes cost $65 and small boxes cost $35.
Let 'x' be the number of small boxes and 'y' be the number of large boxes. Then the inequality is written as,
35x + 65y ≤ 500
If Renaldo buys 5 small gift boxes. Then the number of large gift boxes will be given as,
35 × 5 + 65y ≤ 500
175 + 65y ≤ 500
65y ≤ 325
y ≤ 5
The inequality is 35 × 5 + 65y ≤ 500. Then the number of large gift boxes will be 5.
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Solve the following variation problem
The interest on an investment varies directly as the rate of interest.
If the interest is $49 when the interest rate is
4%, find the interest when the rate is
7.7%
Answers
Answer:
$94.325
Step-by-step explanation:
Given interest (I) varies directly as rate of interest (R) then the equation relating them is
I = kR ← k is the constant of variation
To find k use the condition I = 49 when R = 4 , then
49 = 4k ( divide both sides by 4 )
12.25 = k
I = 12.25R ← equation of variation
When R = 7.7 , then
I = 12.25 × 7.7 = $94.325
What is the value of AC?
Answers
ANSWER:25
Answer:
25
Step-by-step explanation:
5x+5 = 7x-1
5 = 2x-1
2x = 6
x = 3
3x6 = 18
18+7 = 25
Find the value of x.
(4x + 10°
17
122°
A. 33
B. 28
C. 12
a
D. 20
Answers
Answer:
28°
Step-by-step explanation:
vertically opp angles will be equal
4x+10=122
4x = 112
x=28
I hate math so much I can’t to be done with this class
Answers
hope this helps!
please help i need answer asap
Answers
Answer:
1: x=-3
2: x=1 is the answer
$9,800.00 is invested at an annual rate of 11.6%, compounded continuously. How long will it take for that investment to grow to a value of 149,000.00? Round your answer (in years) to two decimal places at the END of your calculations.
Answers
Step-by-step explanation:
First, convert R as a percent to r as a decimal
r = R/100
r = 3.875/100
r = 0.03875 rate per year,
Then solve the equation for A
A = P(1 + r/n)nt
A = 10,000.00(1 + 0.03875/12)(12)(7.5)
A = 10,000.00(1 + 0.003229167)(90)
A = $13,366.37
Summary:
The total amount accrued, principal plus interest, with compound interest on a principal of $10,000.00 at a rate of 3.875% per year compounded 12 times per year over 7.5 years is $13,366.37.
[tex]~~~~~~ \textit{Continuously Compounding Interest Earned Amount} \\\\ A=Pe^{rt}\qquad \begin{cases} A=\textit{accumulated amount}\dotfill & \$149000\\ P=\textit{original amount deposited}\dotfill & \$9800\\ r=rate\to 11.6\%\to \frac{11.6}{100}\dotfill &0.116\\ t=years \end{cases} \\\\\\ 149000=9800e^{0.116\cdot t}\implies \cfrac{149000}{9800}=e^{0.116\cdot t}\implies \cfrac{745}{49}=e^{0.116t}[/tex]
[tex]\log_e\left( \cfrac{745}{49} \right)=\log_e\left( e^{0.116t} \right)\implies \log_e\left( \cfrac{745}{49} \right)=0.116t \\\\\\ \cfrac{\ln\left( \frac{745}{49} \right)}{0.116}=t\implies 23.46\approx t[/tex]
Marguerite sailed 4 hours on Saturday and 3 hours on Sunday. Each day, she sailed at a rate of 11 miles per hour. Which statements are true? Check all that apply.
She sailed for 4 hours.
She sailed for 7 hours.
She sailed 44 miles in all.
She sailed 77 miles in all.
Answers
A computer loses 32% of its value in the first year . It is worth $1650 after 1 year ,how much was it bought for to the nearest $
Answers
Answer:
32+500=532
Step-by-step explanation:
is the nearest rupee
The difference between two numbers is -1 their sum is -27 find the numbers
Answers
Answer:The difference between x and y is 1. In other words, x minus y equals 1 and can be written as equation B: · x - y = 1. Now solve equation B for x
Step-by-step explanation:
What is the solution to |2x-8|=6?
A. x /= -1
B. 1 /= 7
D. -7 = x = -1
Answers
Answer:
x = 1
Step-by-step explanation:
|2-8| = 6
|-6| = 6
Answer:
Step-by-step explanation:
|2x-8|=6
2x - 8 = 6
+ 8 + 8
2x = 14
/2 /2
x = 7
2x - 8 = -6
+ 8 +8
2x = 2
/2 /2
x = 1
I'm going sure what the options are, as they are confusing.
When you post the update you question, I'll update my answer :)
A boat heading out to sea starts out at Point AA, at a horizontal distance of 1347 feet from a lighthouse/the shore. From that point, the boat’s crew measures the angle of elevation to the lighthouse’s beacon-light from that point to be 9^{\circ}
∘
. At some later time, the crew measures the angle of elevation from point BB to be 3^{\circ}
∘
. Find the distance from point AA to point BB. Round your answer to the nearest foot if necessary.
Answers
The distance from point A to B is 2723.8 feet.
Trigonometric ratioTrigonometric ratio is used to show the relationship between the sides and angles of a right angled triangle.
Let h represent the height of the light house, hence:
tan(9) = h/1347
h = 213.3 feet
Let d represent the distance from point B to the lighthouse base, hence:
tan(3) = 213.3/d
d = 4070.8 feet
Distance from point A to B = 4070.8 feet - 1347= 2723.8 feet.
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Answer:
2744.1
Step-by-step explanation:
I got the question right
Suppose that your data shows that Saturn orbits every 29.5 years. To the nearest hundredth of an au, how far is Saturn from the Sun?
Answers
Answer:
Step-by-step explanation:
it’s 9.55 au
Saturn is 9.57 au far from the sun
What is third law of Kepler ?
Kepler's third law, also called the law of periods, states that the square of the orbital period is proportional to the cube of its mean distance R.
Let time period of earth = T (e)
Time period of Saturn will be = T(s) = 29.5 T(e)
(since , it is given that Saturn orbits every 29.5 years )
distance of earth from sun = r(e) = 1.5 * [tex]10^{11}[/tex] m
distance of Saturn from the sun = r(s) = ?
using Kepler's third law
[tex]T^{2}[/tex] is directly proportional to [tex]r^{3}[/tex]
[tex]T(s)^{2}[/tex]/[tex]T(e)^{2}[/tex] = [tex]r(s)^{3}[/tex] / [tex]r(e)^{3}[/tex]
r(s) = r(e) [tex](T(s) / T(e))^{2/3}[/tex]
r(s) = 14.32 * [tex]10^{11}[/tex] m = 9.57 au
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solve by factorising x2 + 8x + 15 = 0
Answers
Answer:
x = - 3/2 thats the answer
HELPPPPPPPPP I'LL GIVE BRAINLYYYYYYYYYYY THANKKKKKKKK YOUUUUUUU <3
if a=-3 and b=4 then the value of -5a^2b is?
A) 180
B) 120
C) -120
D) -180
Answers
Answer:
D. -180
Step-by-step explanation:
3² = 9
9*(-5) = -45
-45 * 4 = -180
i hope this helps! have a wonderful rest of ur day :)