Answer:
This system will have a. exactly one solution.
Step-by-step explanation:
When two lines have different slopes it means that they intersect exactly one time.
If they have the same slope, we need to look at the intercept to see if there is none or infinitely many solutions.
However, these have different slopes and therefore have just 1 solution.
The given set of equations has exactly one solution as y = -1 and x = 2.
What is the equation?There are many different ways to define an equation. The definition of an equation in algebra is a mathematical statement that demonstrates the equality of 2 mathematical expressions.
To put it another way, the equation needs to be subject to some restrictions.
A linear equation could contain more than one variable. If a variable's maximum power constantly equals one, an equation is considered to be linear.
Given a set of equations,
y = -3x + 5 and y = 3x - 7
By equate,
-3x + 5 = 3x - 7
6x = 12
x = 2 and y = -1
Hence "The given set of equations has exactly one solution as y = -1 and x = 2".
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choose the quadratic equation that has a leading coefficient of 8 and solutions -10 and 7/8
Answer:
[tex]f(x)=8x^2+73x-70[/tex]
Step-by-step explanation:
We are given
zeros as -10 and 7/8
now, we can set up function as
[tex]f(x)=a(x-(-10))(x-\frac{7}{8})[/tex]
now, we are given that
leading coefficient is 8
so, a=8
now, we can plug it
[tex]f(x)=8(x-(-10))(x-\frac{7}{8})[/tex]
now, we can simplify it
[tex]f(x)=8\left(x^2+\frac{73x}{8}-\frac{35}{4}\right)[/tex]
so, we get
[tex]f(x)=8x^2+73x-70[/tex]
Look at the model to the right. 3/5 of the whole is shaded. Divide the model into a different number of equal parts to find an equivalent fraction. Complete the equation
Solution:
[tex]\frac{3}{5}=\frac{6}{10}=\frac{9}{15}[/tex]
Two or more fractions are said to be equivalent , if reduced in lowest terms that is numerator and denominator are co-prime, they are equal.
[tex]\frac{3}{5}[/tex] Three out of five is shaded.
Equivalent fraction of
[tex]\frac{3\times 6}{5\times 6}=\frac{18}{30} \\\\ \frac{3\times 8}{5\times 8}=\frac{24}{40}[/tex]
Answer:
Step-by-step explanation:
HELP ASAP!!! Working together, Rocco and Giulia can paint a room in 3 hours. It would have taken Rocco 7 hours to do the job alone. Which equation can be used to determine r, Giulia’s rate of work in parts per hour?
A- 3/7+3r=7
B- 3/7 + 3r =1
C- 1/7 = R
D- 3/7 = 3r
Answer: B
Step-by-step explanation:
Rocco: [tex]\dfrac{1}{7}[/tex] of the job per hour
Giulia: [tex]\dfrac{1}{x}[/tex] of the job per hour
Together: [tex]\dfrac{1}{3}[/tex] of the job per hour
Rocco + Giulia = Together
[tex]\dfrac{1}{7}[/tex] + [tex]\dfrac{1}{x}[/tex] = [tex]\dfrac{1}{3}[/tex]
[tex]\dfrac{1}{7}(21x)[/tex] + [tex]\dfrac{1}{x}(21x)[/tex] = [tex]\dfrac{1}{3}(21x)[/tex]
3x + 21 = 7x
21 = 4x
[tex]\dfrac{21}{4} = x[/tex]
It will take Giulia [tex]\dfrac{21}{4} = 5\dfrac{1}{4}[/tex] hours to paint the room by herself.
*******************************************************************************************
Giulia: [tex]r=\dfrac{1}{x}[/tex] = [tex]\dfrac{4}{21}[/tex]
A) [tex]\dfrac{3}{7} + 3(\dfrac{4}{21}) = 7[/tex]
[tex]\dfrac{3}{7} + \dfrac{4}{7} = 7[/tex]
[tex]\dfrac{7}{7} = 7[/tex]
1 = 7
FALSE
B) [tex]\dfrac{3}{7} + 3(\dfrac{4}{21}) = 1[/tex]
[tex]\dfrac{3}{7} + \dfrac{4}{7} = 1[/tex]
[tex]\dfrac{7}{7} = 1[/tex]
1 = 1
TRUE
Answer:
b is the correct answer for edge
Step-by-step explanation:
Add. (3t - 3) + (6t2 + 4t + 13) + (-8t2 + 11t - 1)? A) -2t2 + 18t + 9 B) -2t4 + 182 + 9 C) 2t4 - 18t - 9 D) 2t4 + 18t + 9
Let's simplify step-by-step.
3t−3+6t2+4t+13−8t2+11t−1
=3t+−3+6t2+4t+13+−8t2+11t+−1
Combine Like Terms:
=3t+−3+6t2+4t+13+−8t2+11t+−1
=(6t2+−8t2)+(3t+4t+11t)+(−3+13+−1)
=−2t2+18t+9
How to solve this problem?
Answer:
Can not be determined.
Step-by-step explanation:
We can easily notice that the limit is x tends to infinity, whereas x is not present in the given function, we are given (1 + 1/n). So we can not evaluate the given limit for x as parameter, we must have some function of x to solve this problem.
Hence, option C is correct i.e. the limit can not be determined.
(1) Tom took a trip of 1,020 miles. He traveled by train at 55 miles an hour and the same number of hours by plane at 285 mph.
How many hours did the trip take?
A) 3 hours
B) 6 hours
C) 8 hours
B) 6 hours
Step-by-step explanation:Let h represent the total trip time. Then h/2 is the time spent traveling at each speed. The distance covered is ...
... distance = speed · time
The sum of the distances in each mode is the total distance.
... 1020 = 55·h/2 +285·h/2
... 2040 = h·(55+285) . . . . multiply by 2
... 2040/340 = h = 6 . . . . . . . divide by the coefficient of h
The trip took a total of 6 hours.
Someone please help me.
1. PQ║TS, PQ ≅ TS, PT and QS are transversals to the parallel lines . . . given
2. ∠P ≅ ∠T . . . alternate interior angles at PT
3. ∠Q ≅ ∠S . . . alternate interior angles at QS
4. ΔPQR ≅ ΔTSR . . . ASA postulate
_____
You can use any pair of angles together with the sides PQ and TS. If you use the vertical angles and one of ∠T or ∠S, then you must invoke the AAS postulate for congruence, as the side is not between the two angles.
Mrs Vargas is 4 years less than 4times her daughter anas age. Mrs Vargas son Leo is 3years more than two times Ana's age.If Ana is a years old what is the difference between Mrs. Vargas'age and her sons age
Answer: 2a - 7
Step-by-step explanation:
Ana: a
Mrs Vargas: 4a - 4
Leo: 2a + 3
Mrs Vargas - Leo
= (4a - 4) - (2a + 3)
= 4a - 4 -2a - 3
= 2a - 7
The summer youth camp is going on an excursion to atlantis Amusement Park. 50% of the 78 students that are going want to go to the Sinking Of Atlantis first.How many students want to visit the sinking of Atlantis first?
Answer:
78*50/100= 78/2 ( half of 78) = 39
Step-by-step explanation:
Quadrilateral ABCD is inscribed in this circle.
What is the measure of angle C?
Answer:
<C =120
Step-by-step explanation:
Since the figure in inscribed in the circle, <A = <C and <B = <D
<B= <D
2x-1=3x-59
Subtract 2x from each side
2x-2x-1=3x-2x-59
-1= x-59
Add 59 to each side
-1+59 = x-59+59
58 =x
<A = 2x+4
<A= 2(58) +4
= 116+4
<A =120
<C = <A
<C =120
The Cooper family is driving 236.5 miles to visit their relatives. In the first three hours, they drive 69.4 miles in the first hour, 67.9 miles in the second hour, and 69.5 miles in the third hour. How many more miles do they need to travel?
Answer:
29.7
Step-by-step explanation:
The remaining distance is the total distance less the distance driven so far:
... 236.5 -69.4 -67.9 -69.5 = 29.7
Since a math school opened the girls basketball team had the same record every season the team won a total of 182 games while losing only 13 games find the constant of proportionality of wins to loses
Answer:
11
Step-by-step explanation:
I guess
How many different four lettered codes can be formed if the first letter must be an S or a T
Answer:
27,600
Step-by-step explanation:
We use the following formula:-
Number of permutations of r from n
= nPr
= n! / (n-r)!
I am assuming you don't allow repeated letters in the 4 letter codes.
Take S as the first letter. Then we have 3 letters extra out of 25 letters.
Using the above formula the possible ways of doing this is
25! / (25 - 3)!
25! / 22!
= 25*24*23
= 13800.
The same number is obtained if the first letter is a T.
So the answer is 2*13800
= 27,600
1. Write the fraction 8/9 as a percent. Round to the nearest hundredth of a percent where necessary. A. 88.89% B. 1.13% C. 44.44% D. 66.67% 2. Write 0.063 as a percent. A. 0.63% B. 6.3% C. 63% D. 630% 3. A survey at your school found that 792 in 1,220 students have a cell phone. What percent of the students in school has a cell phone? Round to the nearest hundredth where necessary. A. 6.49% B. 54.04% C. 64.92% D. 79.20%
Answer:
1.A. 88.89
2.B.6.3%
3.C.64.92%
Step-by-step explanation:
1.[tex]\frac{8}{9}=0.8888[/tex]
to covert it into percentage multiply it with 100
then it becomes 88.888
rounding off to the nearest hundred it becomes 88.89
2. to convert into percentage multiply it with 100
therefore 0.063×100=6.3%
3. to find percentage
%= (no of students using mobile / total no of students )× 100
= [tex]\frac{792}{1200}[/tex]×100
=64.918
Rounding off to nearest hundred it becomes 64.92%
Answer:
1) A. 88.89%
2) B. 6.3%
3) C. 64.92%
Step-by-step explanation:
1) After dividing 8 by 9, we get, [tex]\frac{8}{9} = 0.8889[/tex].
Now, percent of [tex]\frac{8}{9}[/tex] = 0.8889 * 100 = 88.89%
Hence, percent to nearest hundredth is 88.89%
2) We want 0.063 to be written in percent form
i.e. 0.063 * 100 = 6.3%
Hence, 0.063 into percent form is 6.3%
3) We are given that the total number of students are 1220 and the number of students that have cell phones are 792.
Therefore, the percent of students having cell phones = [tex]\frac{792}{1220} *100[/tex] = 64.92%
Hence, the percent of students having cell phones to nearest hundereth is 64.92%
Sam bought two CDs for 13 each sales tax for both CDs was $3 how much did she pay
13x2. 13 is how much the cds cost. 2 is how many she is buying. 13x2 is 26. Check 13+13=26.26-13=13.
Hope this helps!
Calculate the distance between the points K = −1, −4 and L = −82 in the coordinate plane.
Give an exact answer (not a decimal approximation).
Answer:
√85
Step-by-step explanation:
The distance formula tells you the distance between (x1, y1) and (x2, y2) is ...
... d = √((x2-x1)^2 +(y2-y1)^2)
For your points (-1, -4) and (-8, 2), the distance is ...
... d = √((-8 -(-1))^2 +(2 -(-4))^2) = √((-7)^2 +6^2) = √(49 +36)
... d = √85
The distance between the two points is √85.
PLEASE HELP WITH GEO!!
Answer:
10. It is a parallelogram.
11. The parallelogram is a rhombus.
Step-by-step explanation:
10. Use the given sets of congruent segments with congruent vertical angles XNY and WNZ to prove that triangles XNY and ZNW are congruent. Now use CPCTC to show that angles XYN and ZWN are congruent. They are alternate interior angles making sides XY and WZ parallel. Now use CPCTC to show that sides XY and WZ are congruent. Since a quadrilateral has two opposite sides that are both parallel and congruent, the quadrilateral is a parallelogram.
11. A rectangle and a square have 4 right angles. If you add 72 deg and 72 deg, you get 144 deg which is not a right angle. Since one angle of the parallelogram is not a right angle, the parallelogram is not a square or a rectangle.
There are two triangles. Let's look at the upper triangle. The triangle has 2 angles measuring 72 deg each. That means the opposite sides are congruent, and the triangle is isosceles. Since the quadrilateral is a parallelogram, opposite sides are congruent, so all 4 sides are congruent, and the parallelogram is a rhombus.
Answer:
10. It is a parallelogram.
11. The parallelogram is a rhombus.
Step-by-step explanation:
What is the value of P ?
Answer:
133*3+90*3+30*p
Step-by-step explanation:
add all that up then divide it by three
Answer:
p=43°
Step-by-step explanation:
We know that the sum of angles inside the triangle is 180 degree
One angle is P, we find other two angles
Angles in a straight line is 180 degree.
angle adjacent to 133 is 180-133=47
angle adjacent to 90 is 180-90=90
To find out P, we add all the angle and make it equal to 180 degree
p + 47+90= 180
p+137= 180
Subtract 137 on both sides
p=43°
1. Solve x/6 = 20.
A. x = 26
B. x = 3
C. x = 14
D. x = 120
The parent function is f(x)=2^x-1 +3 and the new function is g(x)=2^x+2 +5
How does the graph change from f(x) to g(x)?
Select each correct answer.
Answer:
B and C
Step-by-step explanation:
There are two ways of looking at this question. You can do it algebraically or you can make a graph that will give you the answer visually.
Graph
I'll try to do both. First the graph. (See below)
The red line is f(x)The blue line is g(x)The graph tells us that the line is shifted
2 units up (blue is above red) and 3 units to the left (blue is to the left of red)Algebra.
g(x) = 2^[(x - 1) + 3] + 3 (+ 2)
The rewrite shows that +3 means left. +2 means up.
Olivia took half a gallon of water on a hike. During the hike, she drank .75 of the water, How much water did she drink
Olivia drinks 0.375 gallons of water.
What is problem-solving?
Problem-solving is defining a problem; figuring out the purpose of the trouble; identifying, prioritizing, and selecting alternatives for an answer; and imposing an answer.
Problem-solving starts with identifying the issue. For example, a trainer may need to figure out a way to improve a scholar's overall performance on a writing talent test. To do that, the instructor will overview the writing exams looking for regions for improvement.
Calculation:-
Quantity of water Olivia took = half a gallon i.e 0.5 gallons.
Quantity of water Olivia drank =0.75 of 0.5
∴ 75% of 0.5 gallons
= 75/100 × 0.5
= 0.375 gallons.
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The set of all possible vectors you can reach with the linear combination of two vectors is called ________________.
The set of all possible vectors you can reach with the linear combination of two vectors is called the linear span of the set of two vectors.
We often write the span of a set of vectors S as span(S) and it's itself a vector space, a subspace of the vector space from which the elements of S are drawn.
Answer:
I think you can also call it a vector space.
Step-by-step explanation:
I NEED HELP ASAP
The steps count 4
points for each equation and the solution is 1 point for each. Round the solution to
two decimal places. (10 points)
a. 4x – 5 = 16
b. 35 + 3x – 11 = 2335 + 3x – 11 = 23
The solution to the first equation 4x – 5 = 16 is x = 5.25. The solution to the second equation 35 + 3x – 11 = 23 is x = -0.33. Both solutions have been rounded to two decimal places.
Explanation:Let's solve these two equations one by one:
a. 4x – 5 = 16
Add 5 to both sides of the equation: 4x = 16 + 5 Simplify right side: 4x = 21 Divide both sides by 4 to solve for x: x = 21/4 = 5.25
b. 35 + 3x – 11 = 23
Simplify the left side by combining like terms: 3x + 24 = 23 Subtract 24 from both sides to isolate the term with x: 3x = 23 - 24 Simplify right side: 3x = -1 Divide both sides by 3 to solve for x: x = -1/3 = -0.33
These are the solutions to the equations, rounded to two decimal places.
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What percent of 14 is 35
Answer:
250%
Step-by-step explanation:
First, set the equation.
35/14 x 100% = answer
Simplify.
2.5 x 100 = answer
250 = answer
250% is your answer
~
Answer:
The answer is 2.5
Step-by-step explanation:
14*2.5%=35
the sum of m and 3 divided by the difference of m minus 3
Answer:
1 is the answer.
Step-by-step explanation:
(m + 3) / (m - -3)
m + 3 / m - - 3 = m + 3 / m + 3
m + 3 / m + 3 = 1
Please mark brainiest would help alot :3
Simplify:
"The sum of m and 3" => m + 3
"[the whole] divided by" => (m + 3)/
"The difference of m minus 3" => m - 3
(m + 3)/(m - 3) is your answer
~
LE _____ VO
Choose the relationship symbol to make a true statement.
<
=
>
Answer:
LE > VO
Step-by-step explanation:
This is a short answer, but I assure you that it is 100% correct.
Hope it helps.
I know your smart !!! Who knows this answer ? ❤️
Answer:
The range is { -1,3,7,11,15}
Step-by-step explanation:
The range is just the output values
f(-2) = 4(-2) +7 = -8+7 =-1
f(-1) = 4(-1) +7 = -4+7 = 3
f(0)= 4(0) +7 = 7
f(1) = 4(1) + 7 = 11
f(2) = 4(2) +7 = 8+7 = 15
Answer:
The answer is B
Step-by-step explanation:
First you should make a table to explain it better to yourself. Make 2 columns named Domain(Input) and Range(Output). Now put your ordered pair in the range area. Now calculated the function by replacing X with the range. Calculate.
A polynomial function has -5√3i as a root. Which of the following must also be a root of the function?
-5-√3i
-5+√3i
5-√3i
5+√3i
Answer:
-5+√3i is the given root so -5-√3i must be the other root
Step-by-step explanation:
We know that complex roots must come in pairs. The pairs are complex conjugates. (a+bi) and (a-bi)
You are missing a sign between -5 and the square root
So if - 5+ sqrt(3) i is a root, then -5 - sqrt(3) i must be a root
if -5 - sqrt(3)i is a root, then -5 + sqrt(3)i must be a root.
I will assume you missed a + sign
-5+√3i is the given root so -5-√3i must be the other root
Answer: is A
Step-by-step explanation:
Refer to the table of long distance rates. Write an expression that can be used to find the cost of an n-minute long distance call, where n is at least 5 minutes.
Answer:
a(n) = 0.55 + (n -5)0.07
Step-by-step explanation:
The cost goes up $0.07 for each additional minute, so that is the slope of the linear function. In point-slope form the equation can be written ...
... a(n) - 0.55 = 0.07(n -5)
adding 0.55, and rearranging slightly, this becomes ...
... a(n) = 0.55 +(n -5)0.07
Julie's mp3 contains 860 songs if 20 percent of the songs are rap and 15 percent of the song are r and b songs how many of the songs are other types
Answer:
The number of other types of songs in Julie's MP3 player was 559.
Step-by-step explanation:
Total number of songs in Julie's MP3 player = 860
Rap
The percentage of rap songs in Julie's MP3 player = 20%
The Number of rap songs is 172
R&B
Percentage of R&B songs in Julie's MP3 player = 15%
The Number of R&B songs in Julie's MP3 player = 129
Other Music
The number of other types of songs in Julie's MP3 player = 559
So the number of other types of songs in Julie's MP3 player was 559.