Answer:
Picture attached below.
Step-by-step explanation:
I hope it helps.
Evaluate piecewise functions
Answer:
The answer is 150.
Step-by-step explanation:
Eliminate the second and third piece of the function, because they do not include t= -10 in their range. Now, input t= -10 in the first piece. That will give you f(-10)= (-10)^2 - 5(-10)= 150.
If 3x-5=6x-2 is -1. Then how do I do a check step? :(
Answer:
ok,just substitute the x for -1
3x-5=6x-2
3(-1)-5=6(-1)-2
-3-5 = -6-2
-8 = -8
TRUE
So,the solution is correct.-1 is the correct solution
I hope this help,Please give me the brainliest
Step-by-step explanation:
250 + 200h = 300 + 180h 250 + 200h = 300 + 180h − 180h − 180h 250 + 20h = 300 h = credit hours
Answer:
h = 2.5
Step-by-step explanation:
250 + 200h = 300 + 180h
subtract 180 from both sides250 + 200h - 180 = 300 + 180h - 180
250 + 20h = 300
subtract 205 from both sides250 - 250 + 20h = 300 - 250
20h = 50
divide both sides by 2020h ÷ 20 = 50 ÷ 20
h = 2.5
How many units long is a line segment whose endpoints have coordinates (-3,7) and (2,-5)?
Answer:
D = 13 units
Step-by-step explanation:
Using Distance Formula to find the length.
Distance Formula = [tex]\sqrt{(x2-x1)^2+(y2-y1)^2}[/tex]
D = [tex]\sqrt{(2+3)^2+(-5-7)^2}[/tex]
D = [tex]\sqrt{(5)^2+(-12)^2}[/tex]
D = [tex]\sqrt{25+144}[/tex]
D = [tex]\sqrt{169}[/tex]
D = 13 units
Answer:
i think its 13
Step-by-step explanation:
i just plotted the points on a coordinate plane and counted it out its was around 12.8 so i rounded it and its was 13
please give answer please please please
Answer:
3/8
Step-by-step explanation:
for the number 1 on spinner a there are 4 possibilites.
same goes for 2,3 and 4. all in all, there is 32 posibilities total.
for number 1 on spinner a, there are 3 poss. for number 2, there are 2 poss.
in total there are 6 possibilities on spinner A and 6 on spinner B. 6 plus 6 is 12.
12/32=3/8
Answer:
Its 3/8
Step-by-step explanation:
What is the product of the binomials (4a – 1) and (2b + 3)?
Answer:
8ab+12a-2b-3
Step-by-step explanation:
(4a–1)(2b+3)
Use the FOIL method:
First: 8ab
Outer: 12a
Inner: -2b
Last: -3
8ab+12a-2b-3
find ABD
help please!!
Answer:
20 degrees
Step-by-step explanation:
If BD is the angle bisector of ABC, then ABD must equal half of that. 40/2=20 degrees. Hope this helps!
Answer:
[tex]m\angle ABD =20^\circ[/tex]
Step-by-step explanation:
According to the given statement the two angles are equal.
[tex]3x-1=34-2x\\\\\Rightarrow x=7\\\\m\angle ABD = 3(7)-1 = 20^\circ[/tex]
Best Regards!
Which of the following equations has the solution set {0}?
A.) -14m - 7m + 1 = -7m + 1
B.) -14m + 7m + 1 = -7m + 2
C.) 14m - 7m - 1 = -7m + 1
Answer:
Option A
Step-by-step explanation:
[tex]-14m-7m+1=-7m+1\\\\-14-7m+1-(-7m+1)=-7m+1-(-7m+1)\\\\-14m=0\\\\-14m/-14=0/-14\\\\\boxed{m=0}[/tex]
Answer:A
Step-by-step explanation:
-14m-7m+1=-7m+1
then
-14m-7m+7m=1-1
-14m=0
m=0
Three support beams for a bridge form a pair of complementary angles. Find the measure of each angle
Answer:
30° each
Step-by-step explanation:
Complementary angles are those that add up to 90° so if they are all equal then it's
90/3=30°
Answer: 30° each
Complementary angles are those that add up to 90° just to remind you!!
Which equations are correct? Select each correct answer.
Answers:
Option two, 5[tex]y^{4}[/tex](2[tex]y^{5}[/tex]) = 10[tex]y^{9}[/tex] and option 4, 5[tex]x^{3}[/tex](6[tex]x^{4}[/tex]) = 30[tex]x^{7}[/tex]
Step-by-step explanation:
O1 + O3 = incorrect, the powers have been multiplied together. Laws of indices suggest that if you are multiplying powers together, you must add them, not do 4 x 5 or 2 x 2.
Please remember:
2y squared x 3y cubed = 6y to the power 5
Answer:
Solution(s) : Option # 2 and # 4
Step-by-step explanation:
One quick way to identify which solutions are accurate would be adding the exponents of the terms provided ( b, y, c etc ). As you can see in each example two expressions are being multiplied, and hence the exponents of each term are being added.
Therefore the second and fourth example are correct, as 4 + 5 = 9, the co - efficient of y. And 3 + 4 = 7, the co - efficient of x.
Check :
[tex]5y^4\left(2y^5\right)[/tex] = [tex]5\cdot \:2y^{4+5}[/tex] = [tex]5\cdot \:2y^9[/tex] = [tex]10y^9[/tex]
[tex]5x^3\left(6x^4\right)[/tex] = [tex]5\cdot \:6x^{3+4}[/tex] = [tex]5\cdot \:6x^7[/tex] = [tex]30x^7[/tex]
Which would be appropriate compatible numbers to use to estimate (19 4/5)(4/6)
Answer:
Approximately 10
Step-by-step explanation:
19 / 5 Approximately 4
4 * 4 = 16
16 * 4 / 64
64 / 6 * = Approximately 10 / 10.6 ish
Actual Answer is 10.133
Ben has 400 counters in a bag. He gives 35 of the counters to Sonia 130 of the counters to Phil 75 of the counters to Lance What fraction of the 400 counters is left in Ben’s bag? Give your fraction in its simplest form. (With workings out)
Answer:
2/5
Step-by-step explanation:
subtract 130,35,and 74 from 400 you will have 160/400 left then you find the greatest common and divide! and get 2/5
Answer: 2/5
Step-by-step explanation:
Ben gives 35 to Sonia, 130 to Phill, 75 to Lance, in total he gives away 240 counters. the fraction of the counters left in his bag would be 400-240 which is 160 and so his fraction would be 160/400 and this in simplest form would be 8/20 if you divide by 20 and then to simplify that you can divide by 4 to get 2/5
determine which function has the greatest rate of change as x approaches infinity f(x)=4x+50, g(x)=3^x-4, h(x)=2x^2+9x-4, there is not enough information to determine the answer
Answer:
g(x)=3^x-4, this one is exponential so it would have the greatest rate of change as x approaches infinity. The first one is a line and the third one is a parabola.
Step-by-step explanation:
Brittany uses the rowing machine and the stair machine at the gym for an exercise program. Her trainer wants her on an exercise program that meets these two conditions:
After 5 minutes of stretching, Brittany will exercise for 30 minutes, dividing her time between the two types of machines.
Brittany will spend three times as much time on the stair machine as on the rowing machine.
Write an equation.
Answer:
The equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
Step-by-step explanation:
We are given that Brittany uses the rowing machine and the stair machine at the gym for an exercise program.
Let the time spend by Brittany on the stair machine be represented by the variable [tex]x[/tex].
and the time spend by Brittany on the rowing machine be represented by the variable [tex]y[/tex].
Now, there are two conditions stated by her trainer;
The first condition states that Brittany will exercise for 30 minutes, dividing her time between the two types of machines, that is;[tex]x + y = 30 \text{ minutes}[/tex]
The second condition states that Brittany will spend three times as much time on the stair machine as on the rowing machine, that is;[tex]x = 3y[/tex]
So, the equations are: [tex]x+ y = 30[/tex] and [tex]x = 3y[/tex].
These equations can be solved either using the substitution method or the elimination method.
Match each function formula with the corresponding transformation of the parent function y = (x - 1)2 1. y = - (x - 1)2 Translated up by 1 unit 2. y = (x - 1)2 + 1 Translated left by 4 units 3. y = (x + 1)2 Translated right by 1 unit 4. y = (x - 2)2 Translated down by 3 units 5. y = (x - 1)2 - 3 Reflected over the x-axis 6. y = (x + 3)2 Reflected over the y-axis
Answer:
1. [tex]y = - (x - 1)^{2}[/tex], Reflected over the x-axis.
2. [tex]y = (x - 1)^{2} +1[/tex] , Translated up by 1 unit.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis
4. [tex]y = (x - 2)^{2}[/tex] ,Translated right by 1 unit.
5. [tex]y = (x - 1)^2 - 3[/tex], Translated down by 3 units
6. [tex]y = (x + 3)^2[/tex], Translated left by 4 units.
Step-by-step explanation:
Given that:
Parent function: [tex]y = (x - 1)^{2}[/tex] Please refer to attached Graph4.
1. [tex]y = - (x - 1)^{2}[/tex] Sign of y is changed from + to -, so it gets reflected over x axis. Please refer to attached Graph3.
2. [tex]y = (x - 1)^{2} +1[/tex]: 1 is added to y to translated up (positive y by 1 unit). Please refer to attached Graph3.
3. [tex]y = (x + 1)^{2}[/tex] , Reflected over y-axis, please refer to attached Graph4.
4. [tex]y = (x - 2)^{2}[/tex] : 1 is subtracted from x , it gets Translated right by 1 unit. Please refer to attached Graph5.
5. [tex]y = (x - 1)^2 - 3[/tex], 3 subtracted from y so it getss translated down by 3 units. Please refer to attached Graph6.
6. [tex]y = (x + 3)^2[/tex], 4 added to x, so it gets translated left by 4 units. Please refer to attached Graph5.
Answer:
the other guys answer
Step-by-step explanation:
sorry we have been about your car extended warranty this is are last call
which of the following is equal to the rational expression when x ≠ -1 or -7
Answer:
A.
Step-by-step explanation:
When you simplify the equation down by getting rid of (x + 1) (and that creates a hole in the graph), you should end up with A as your answer.
and, S2
inutes)
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is
shown below the column.
tion 1
tion 2
K
J
tion 3
J
K
5
13
tion 4
tion 5
K
J
L
L
tion 6
L
15
tion 7
tion 8
11
7
15
tion 9
tion 10
tion 11
What is the value of L?
tion 12
tion 13
Correct Question
In the table shown, the sum of each row is shown to the right of the row and the sum of each column is shown below the column. What is the value of L?
[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\J&K&J&5\\K&K&L&13\\L&J&L&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]
Answer:
L=7
Step-by-step explanation:
From the first row: 2J+K=5
Therefore: K=5-2J
From the second column, 2K+J=7
Substitute K derived above into 2K+J=7
2K+J=7
2(5-2J)+J=7
10-4J+J=7
-3J=7-10
-3J=-3
J=1
Recall: K=5-2J
K=5-2(1)=3
K=3
From the third column, J+2L=15
1+2L=15
2L=15-1=14
L=7
Therefore, the value of L=7
CHECK:
[tex]\left|\begin{array}{c|c|c|c}-&-&-&-\\1&3&1&5\\3&3&7&13\\7&1&7&15\\-&-&-&-\\11&7&15\end{array}\right[/tex]
Z varies directly with X squared and inversely with Y. When X equals two and Y equals four, Z equals three. What is the value of Z when X equals four and Y equals nine
A: 2/3
B: 16/3
C: 8/3
D: 24
Answer:
B
Step-by-step explanation:
Set up the equation
z = [tex]\frac{kx^2}{y}[/tex]
Plug in the numbers to find the value of k
3 = [tex]\frac{k(2^2)}{4}[/tex]
12 = 4k
3 = k
Solve to find the value of z
z = [tex]\frac{3(4^2)}{9}[/tex]
z = [tex]\frac{3(16)}{9}[/tex]
z = 48/9
z = 16/3
Find x. I need it ASAP
Answer:
x = 27°
Step-by-step explanation:
Because of the two parallel lines, we can conclude that
corner DAB = corner FDE = 2x
In ∆DAB
Corner DAB = 2x
Corner BDA = 2x (given)
Corner ABD = 72 (given)
The sum of three corners in any trianle, adds up to 180°.
So if one corner is 72° and the other two corners are the same, then the two corners together, must be 180-72 = 108°.
For each corner that is 108/2= 54
so corner BDA = 54° and also corner DAB = 54°.
Given was BDA = 2x and BDA = 54°
so 2x = 54°
then x = 27°
Please help! What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5?
A.) Perimeter = 46 cm, area = 131.25 cm2
B.) Perimeter = 126 cm, area = 972 cm2
C.) Perimeter = 46 cm, area = 972 cm2
D.) Perimeter = 126 cm, area = 131.25 cm2
Answer:
B
Step-by-step explanation:
4.5 x 6 = 27
4.5 x 8 = 36
27 x 2 = 54
36 x 2 = 72
54 + 72 = 126cm Perimeter/
27 x 36 = 972 cm2 Area/
f f(x) = 3(x + 4), find f(2).
Answer:
f(2) = 18
Step-by-step explanation:
To evaluate f(2) , substitute x = 2 into f(x), that is
f(2) = 3(2 + 4) = 3 × 6 = 18
How many real solutions does this system of equations have? x2+y2=363x−y+1=0 A. 0 B. 3 C. 2 D. 1
Answer:
Correct option: C -> 2
Step-by-step explanation:
The first equation is:
[tex]x^2+y^2=363[/tex]
And the second equation is:
[tex]x-y+1=0[/tex]
From the second equation, we have:
[tex]y = x + 1[/tex]
Using this value of y in the first equation, we have:
[tex]x^2 + (x+1)^2 = 363[/tex]
[tex]x^2 + x^2 + 2x + 1 = 363[/tex]
[tex]2x^2 + 2x= 362[/tex]
[tex]x^2 + x - 181 = 0[/tex]
Calculating the discriminant Delta, we have:
[tex]\Delta = b^2 - 4ac = 1 + 4*181 = 725[/tex]
We have [tex]\Delta > 0[/tex], so we have two real values for x, therefore we have two solutions for this system.
Correct option: C.
(If the system of equation is actually:
[tex]x^2+y^2=36[/tex]
[tex]3x-y+1=0[/tex]
We would have:
[tex]y = 3x + 1[/tex]
[tex]x^2+(3x+1)^2=36[/tex]
[tex]x^2+9x^2+6x+1=36[/tex]
[tex]10x^2+6x-35=0[/tex]
[tex]\Delta = 36 + 1400 = 1436[/tex]
We also have [tex]\Delta > 0[/tex], so we have two solutions for this system.
Correct option: C.)
Answer:
A. 0
second part: C. The boats' paths do not cross each other
A set of shirt prices are normally distributed with a mean of 45 dollars and a standard deviation of 5 dollars. What proportion of shirt prices are between 37 dollars and 59.35 dollars? You may round your answer to four decimal places.
Answer:
0.9432
Step-by-step explanation:
Given that
[tex]\\Mean (\mu)= 45[/tex]
[tex]Standard\;Deviation (\sigma)= 5[/tex]
Based on this, the proportion of the shirt price between the given range is
As we know that
For 37 dollars
[tex]z_{ score } = \frac{x-\mu}{\sigma}[/tex]
[tex]z = \frac{37.0-45.0}{5.0}[/tex]
[tex]z_1 = -1.6[/tex]
For 59.35 dollars
[tex]\\ z = \frac{59.35-45.0}{5.0} \\[/tex]
[tex]z_2 = 2.87[/tex]
This results into
= P(37.0 < x < 59.35)
= P(-1.6 < z < 2.87)
= P(Z < 2.87) - P(Z < -1.6)
So,
= P(37.0 < x < 59.35)
= 0.9979 - 0.0547
= 0.9432
Refer to Z score table
WILL GIVE BRAINLIEST Which pairs of rectangles are similar polygons? Select each correct answer. 1)two rectangles. larger rectangle has left side labeled 1225 m and bottom labeled 144 m. the smaller rectangle has left side labeled 3.5 m and bottom side labeled 1.2 m. 2)two rectangles. larger rectangle has left side labeled 13 m and bottom labeled 5 m. the smaller rectangle has left side labeled 5.2 m and bottom side labeled 2.5 m. 3)two rectangles. larger rectangle has left side labeled 18 m and bottom labeled 6 m. the smaller rectangle has left side labeled 4.5 m and bottom side labeled 1.5 m. 4)two rectangles. larger rectangle has left side labeled 40 m and bottom labeled 15 m. the smaller rectangle has left side labeled 8 m and bottom side labeled 3 m.
Answer: Look at the picture :)
The pairs of rectangles that are similar polygons are those in;
1 and 4
For two rectangles to be similar polygons, it means that the ratio of their corresponding sides must be the same.
In question 1;
Ratio of corresponding left sides = 1225/3.5 = 350
Ratio of corresponding bottom sides = 144/1.2 = 120
Ratios do not correspond and as such they are not similar polygons.
In question 2;
Ratio of corresponding left sides = 13/5.2 = 2.5
Ratio of corresponding bottom sides = 5/2.5 = 2
Ratios do not correspond and as such they are not similar polygons.
In question 3;
Ratio of corresponding left sides = 18/4.5 = 4
Ratio of corresponding bottom sides = 6/1.5 = 2l4
Ratios correspond and as such they are similar polygons.
In question 4;
Ratio of corresponding left sides = 40/8 = 5
Ratio of corresponding bottom sides = 15/3 = 5
Ratios correspond and as such they are similar polygons.
Read more at;https://brainly.com/question/20590854
square root of 0.925 by long division method
0.96176920308
Hope it Helps you :)In a 10% sale a jumper costs £36. How much does it usually cost?
A. 40
B. 39.60
C. 32.40
D. 360
Answer:
A. 40
Step-by-step explanation:
CP= x, SP= £36, sale= 10%
SP= CP- 10%= CP*0.9
x*0.9= £36
x= £36/0.9= £40
Help please I don’t really understand
Answer:
35
Step-by-step explanation:
We first need to find the missing side of the base triangle.
15^2 - 9^2 = x
144 = x^2
x = 12
Then, we can use the same formula (Pythagorean theorem) to find BD.
37^2 - 12^2 = x
1225 = x^2
x = 35
La suma de las edades de tres personas es 127años. La mayor tiene 30 años mas que la menor y la del intermedio 26 menos que la menor.¿ calcula la edad de la persona mayor'
Answer:
La mayor tiene 61 años.
Step-by-step explanation:
Sea x,y,z la edad de la mayor, intermedio y la menor respectivamente.
Tenemos las siguientes ecuaciones:
[tex]x+y+z=127[/tex] (la suma de las edades es 127)
[tex]x = z+30[/tex] (la mayor tiene 30 años más que la menor)
La frase "y la del intermedio 26 menos que la menor" no tiene sentido, puesto que esto implicaría que la del intermedio es menor que la menor. Luego se asume que la frase ha de ser "y la del intermedio 26 menos que la mayor"
[tex]x-26 = y[/tex] (la del intermedio tiene 26 menos que la mayor).
La segunda ecuación se traduce a x-30 =z. Si reemplazamos todo en la primera ecuación obtenemos
[tex]x+(x-26)+(x-30) = 127[/tex]
Obtenemos la ecuación
[tex]3x-56 = 127[/tex]
Sumando 56 a ambos lados y dividiendo por 3, obtenemos
[tex] x = \frac{127+56}{3} = 61[/tex]
Es decir la mayor tiene 61 años.
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Answer:
D. a = 29, b = 16, c = 24, d = 30, e = 22
Step-by-step explanation:
got it right on edge
The number of students who like both algebra and geometry is 27.
What is a Venn diagram?A Venn diagram is an overlapping circle to describe the logical relationships between two or more sets of items.
We have,
The number of students who like both algebra and geometry is the intersection of A and G, denoted as A ∩ G.
The number of students who like algebra only is the difference between A and A ∩ G, denoted as A - A ∩ G.
The number of students who like geometry only is the difference between G and A ∩ G, denoted as G - A ∩ G.
The number of students who do not like either subject is the complement of the union of A and G with respect to U, denoted as U - (A ∪ G).
We are given that:
A = 45
G = 53
U = 75
U - (A ∪ G) = 6
Now,
U - (A ∪ G) = 6
75 - (45 + 53 - A ∩ G) = 6
27 = A ∩ G
Therefore,
The number of students who like both algebra and geometry is 27.
Learn more about the Venn diagram here:
https://brainly.com/question/1605100
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The complete question.
A group of 75 math students were asked whether they like algebra and whether they like geometry. A total of 45 students like algebra, 53 like geometry, and 6 do not like either subject.
Find the number of students who like both algebra and geometry.
Does the table represent a function?(Only 2 hours to answer!)
Answer: (a) Yes. The table is a function.
Step-by-step explanation:
In order to be a function, there cannot be any duplicate x-values.
In the given table, each x-value is different so this IS a function.