Answer:
y = x² + 7x + 4
Step-by-step explanation:
First option
System of equations:
y = x² + x – 4
y = x – 5
Replacing:
x - 5 = x² + x – 4
0 = x² + x – 4 - x + 5
0 = x² + 1
Discriminant:
b²-4*a*c
0²-4*1*1
-4 < 0 then the equation has no real roots
Second option
System of equations:
y = x² + 2x – 1
y = x – 5
Replacing:
x - 5 = x² + 2x – 1
0 = x² + 2x - 1 - x + 5
0 = x² + x + 4
Discriminant:
b²-4*a*c
1²-4*1*4
-15 < 0 then the equation has no real roots
Third option
System of equations:
y = x² + 6x + 9
y = x – 5
Replacing:
x - 5 = x² + 6x + 9
0 = x² + 6x + 9 - x + 5
0 = x² + 5x + 4
Discriminant:
b²-4*a*c
5²-4*1*4
9 > 0 then the equation has two different real roots
Fourth option
System of equations:
y = x² + 7x + 4
y = x – 5
Replacing:
x - 5 = x² + 7x + 4
0 = x² + 7x + 4 - x + 5
0 = x² + 6x + 9
Discriminant:
b²-4*a*c
6²-4*1*9
0 then the equation has one real root
Answer: y = x² + 7x + 4
Step-by-step explanation:
Trust
What is 7/8 + 1/2 as a fraction
Answer:
11/8 is the answer as a fraction
The fraction value of 7/8+1/2 is 11/8
What is fraction ?
Fraction is a numerical value which has two parts. The bottom part is called denominator which indicates the no. of parts in which the whole is divided. And the top part is called numerator which indicates how many parts of the fraction are selected.
Example : 2/3 , where 2 is the numerator and 3 is the denominator.
What is the required fraction ?The given sum is, [tex]\frac{7}{8}+\frac{1}{2}[/tex]
Taking LCM of 8 & 2, which is 8,
= [tex]\frac{(7*1)+(1*4)}{8}[/tex]
= [tex]\frac{7+4}{8}[/tex]
= [tex]\frac{11}{8}[/tex]
∴ The required fraction is [tex]\frac{11}{8}[/tex]
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For the linear equation y=-10+5x the x intercept is ?
Answer:
(2, 0)
Step-by-step explanation:
X intercept is when y = 0.
0 = -10 + 5x
5x = 10
x = 2
If LP = 15 and PR = 9, find LR. Explain.
Answer:
24
Step-by-step explanation:
LP = 15 on one side
LR= 9 on the other side
____________________|____________|
P L R
add them and PR is 24
15+9= 24
Pls help tank you so much !!!!!
Answer:
A
Step-by-step explanation:
AnB means including the numbers that both the sets have.
a piano teacher has 4 1/2 hours available to teach in a night. each lesson will last 1 1/2 hours. how many lessons can the teacher schedule in a night?
Answer:
1 1/2+1 1/2=3+1 1/2= 4 1/2
3 clases in 1 night
Answer:She can do 3 lessons in one night
Step by step explanation:1 1/2+1 1/2=3+1 1/2= 4 1/2 just some simple additio,
If two lines are crossed by a transversal and corresponding angles are equal, the lines are___.
parallel
perpendicular
similar
congruent
Answer:
parallel
Step-by-step explanation:
Corresponding angles are those which are in the same relative place between the cross-line and the parallel axes. You will see that the (corresponding) angles are identical if and only if the lines are parallel.
hope this helped!
PLEASE HELP ME THIS IS URGENT I AM BEING TIMED!!!
Write in decimal notation.
Answer:
5.571349 x 10^3
or
5571.349
Answer:
34720.341
Step-by-step explanation:
31x1120.011 = 34720.341
Solve for x: 3.2x - 7.4 = -7.8x + 3.6
1.
1
2.
0.8
3
3.8
4.
0.5
Answer:
The value of x is 1.
Step-by-step explanation:
You have to move all the x-terms to one side and the unrelated values to other side :
[tex]3.2x - 7.4 = - 7.8x + 3.6[/tex]
[tex]3.2x + 7.8x = 3.6 + 7.4[/tex]
Next, you have to add up :
[tex]11x = 11[/tex]
Lastly, you have to divide it by 11 :
[tex]x = 11 \div 11[/tex]
[tex]x = 1[/tex]
Carlos drew a triangle and measured two of the sides to be 8 inches and 12 inches. What has to be true of the third side?
A.
It is equal to 4 inches.
B.
It measures less than 4 inches.
C.
It measures more than 4 inches.
D.
It is 2.5 inches.
Answer:
C
Step-by-step explanation:
The triangular inequality states that a+b>c, b+c>a, a+c>b. So, 4+8=12, so a is not possible. Neither is b. D is not true either. It has to be c.
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Have a nice day.
The third side of the triangle measures more than 4 inches.
What are the properties of triangle for it's side?The sum of the length of the two sides of a triangle is greater than the length of the third side. The difference between the two sides of a triangle is less than the length of the third side.
According to the given question we have,
Length of the two sides of a triangle are 8 inches and 12 inches.
Let the length of the third side be x inches.
Now, according to the properties of a triangle
"The difference between the two sides of a triangle is less than the length of the third side".
Therefore,
12 - 8 < x
⇒ 4 < x
⇒ The third side of the triangle is greater than 4 inches.
Hence, the third side of the triangle measures more than 4 inches.
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14) The ions Sr2+and PO43- form a salt with the formula
A) Sr2(PO4)2
O B) Sr(PO4)2
C) SrP04
D) Sr2P04
E) Sr3(PO4)2
Answer:
E
Step-by-step explanation:
Sr2+ po43- exchange the charges and write the salt
This composite figure is made of two identical pyramids
attached at their bases. Each pyramid has a height of 2
units.
Which expression represents the volume, in cubic units, of
the composite figure?
(16200.25)2))
1530.2574)
• 2{}(5)10.25)2))
21315360.2574)
0.25
O
Answer:
C. 2
Step-by-step explanation:
hope it answers your question ! if not lmk
Helppppppppp please on this
Answer:
23 square units
Step-by-step explanation:
I just counted them because the area is the inside or the shaded region but your supposed to find the x and y values of each box multiply them and add them all up to get the answer
Answer:
The area is 23
Step-by-step explanation:
I just counted I didn't know what else to do.
What is the circumference of a basketball hoop rim that is 9 inches in diameter?
A. 254.34 inches
B. 28.26 inches
C. 15.69 inches
D. 56.52 inches
Answer: 28.29 inches
Step-by-step explanation:
Circumference = 2πr
= 2 * π *4.5
= 28.29 inches
Answer:
b. 28.26
Step-by-step explanation:
Given diameter (D) = 9
Radius =
D/2 = 4.5
Circumference = πD
= 9π
= 28.274333882308
you would round to the nearest hundreth and it would be
28.26
What type of transformation does the arrow below depict?
A. Dilation
B. Reflection
C. Rotation
D. Translation
Answer:
C. Rotation
Step-by-step explanation:
Rotation is the movement of an object about a fixed point (center of rotation) either clockwise or in an anticlockwise direction. As seen from the image attached, the arrow represents that the object is rotated in an anticlockwise direction.
Translation transformation is the process of moving an object points in a particular direction at the same distance.
Dilation is the process of enlarging or reducing the size of an object.
Answer:
Rotation
Step-by-step explanation:
Please help ASAP, dhejhehdidbdbfind
Answer:
[tex]x = 7 \: \: degrees[/tex]
Step-by-step explanation:
[tex]7x + 9 = 8 x + 2 \\ 7x - 8x = - 9 + 2 \\ - x = - 7 \\ x = 7 \: degrees[/tex]
hope this helps
brainliest appreciated
good luck! have a nice day!
_____________________________________
Hey!!!
Solution,
7x+9=8x+2[ being corresponding angles]
or,7x-8x=2-9
or,-x=-7
X=7
The value of X is 7
Hope it helps
Good luck on your assignment
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Find the slope and y-intercept of the linear equation y=8−3x
Answer:
Slope: -3
y-intercept: (0, 8)
Step-by-step explanation:
The equation y = mx + b is used for all linear equations. In this equation, m = slope and b = y-intercept.
In order to find these two variables, you must put the equation given into the y = mx + b format.
y = 8 - 3x becomes y = -3x + 8
That means that m = -3 = slope and b = 8 = y-intercept.
I hope this helps!
i need help figuring out the blank questions. i have been stuck on them all day
1. Simplify. (-8x^3+4x+1)/(2x+1)
A.4x^2 - 2x+1
B.-4x^2+2x+1
C.4x^2+2x-1
D.-4x²+2x-1
Pls hurry I will give you brainliest
The solution to the polynomial (-8x³ + 4x + 1) / (2x + 1) is -4x² + 2x + 1
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
Given the equation (-8x³ + 4x + 1) / (2x + 1), hence:
(-8x³ + 4x + 1) / (2x + 1) = -4x² + 2x + 1
The solution to the polynomial (-8x³ + 4x + 1) / (2x + 1) is -4x² + 2x + 1
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See Attached Photo for question
Answer is:
A. f(–3) = –27, f(0) = –4, and f(–1) = 5
B. f(–3) = –27, f(0) = –4, and f(–1) = –5
C. f(–3) = –7, f(0) = –4, and f(–1) = –1
D. f(–3) = –7, f(0) = –0, and f(–1) = 5
Answer:
you attached this photo for and
The Dodgers (D) and the Angels (A) won a total of 165 games during a regular season, and the Angels won 19 games more than the Dodgers.
How many games did each team win?
btw this is solving systems of equations
Answer:
Dodgers won 73 games while angels won 73 + 19 = 92 games.
Step-by-step explanation:
The Dodgers and the angels won a total of 165 games during a regular season. The angels won 19 games more than the Dodgers .
The both team won a total of 165 games but we weren't given the game each team won but the game each team won can be gotten from the question.
Let
number of game won by Dodgers = x
number of game Angels won = x + 19
The both of them won 165 game altogether. This means the sum of their individual games won is equals to 165. Therefore,
x + x + 19 = 165
collect like terms
2x + 19 = 165
2x = 165 - 19
2x = 146
divide both sides by 2
x = 146/2
x = 73
Dodgers won 73 games while angels won 73 + 19 = 92 games.
a person invest in 9000 in a bank. the bank pays 5% interest compounded semi annually. to the nearest tenth of a year, how long must the person leave the money in the bank until it reaches 14800 dollars
Answer:
10.1 years.
Step-by-step explanation:
It is given that,
Principal = 9000
Rate of interest = 5%
No. of times interest compounded = 2 times in an year
Amount after certain time = 14800
The formula for amount:
[tex]A=P(1+\frac{r}{n})^{nt}[/tex]
where, P is principal, r is rate of interest, n is no. of times interest compounded in an year and t is time in years.
Substitute the given values in the above formula.
[tex]14800=9000(1+\frac{0.05}{2})^{2t}[/tex]
[tex]\frac{14800}{9000}=(1+0.025)^{2t}[/tex]
[tex]1.644=(1.025)^{2t}[/tex]
Taking log both sides.
[tex]\log(1.644)=\log(1.025)^{2t}[/tex]
[tex]\log(1.644)=2t\log(1.025)[/tex] [tex][\because \log a^b=b\log a][/tex]
[tex]\frac{\log(1.644)}{2\log(1.025)}=t[/tex]
[tex]t=10.066[/tex]
[tex]t=10.1[/tex]
Therefore, the required time is 10.1 years.
Answer:
9.4
Step-by-step explanation:
The correct answer is actually 9.4. Delta Math corrected me afterwards.
The graph below shows a proportional relationship between x and y.
Answer:
the constant of proportionality is 4
The perimeter of a triangle is 195 cm. The ratio of the measures of the sides is 3:5:7.
Find the measure of each side.
Shortest side?
Median side?
Longest side?
Answer:
Shortest side = 39
Median side = 65
Longest side = 91
Step-by-step explanation:
So here we have 3:5:7
And we keep adding on to it.
Carley’s progress from a 5-kilometer race is displayed in the graph below.
Based on the graph, if Carley runs in a 4-kilometer race and she maintains the same pace, how many minutes will it take her to run 4 kilometers?
50 minutes
45 minutes
35 minutes
20 minutes
Answer:
35 minutes
Step-by-step explanation:
help willl give brainliest
Answer: 2/9
Step-by-step explanation:
The probability of landing on blue and green in any order is 2/9 because we have two probable colors and nine total possibilities.
PLEASE ANSWER, EASY QUESTIONS, WILL GIVE BRAINLIEST IF RIGHT 1. Jenny has some tiles in a bag. The tiles are of three different colors: purple, pink, and orange.
Jenny randomly pulls a tile out of the bag, records the color, and replaces the tile in the bag. She does this 50 times. The results are recorded in the given table:
Color of Tile Purple Pink Orange
Number of times the tile is drawn 4 24 22
What is the experimental probability that Jenny will pull out a pink tile? 22 over 50
22 over 28
24 over 50
4 over 50
2. Jake has a bag of 50 beads, of which some are red and the remaining are yellow. Jake randomly pulls out a bead from the bag, records the color, and replaces it in the bag. Jake has already recorded 6 red and 9 yellow beads. Based on the result, what is most likely the number of red beads in the bag?
10
20
30
40
Answer:
Jenny Question Answer: 4 over 50
Jake Question Answer: 20 beads are red
Step-by-step explanation:
Jenny: She pulled a purple tile 4 times when there is 50 tiles in the bag
Jake: 6 of the 15 beads are red. 6/15 = 2/5 = 40% are red. Take the percent times the total number of beads. 40 * 50 = 20.
20 of the beads are red
I hope I helped, please correct me if I'm wrong!
Point A is at (-7,-9) and point M is at (-0.5, -3).
Point M is the midpoint of point A and point B.
What are the coordinates of point B?
Answer:
(6,3)
Step-by-step explanation:
You can solve this by looking at the x and y coordinates independently.
The distance between -7 and -0.5 is 6.5.
The distance between -9 and -3 is 6.
Since point M is the midpoint, the distances between point A and point M should be the same, so you can literally just add the distances to the midpoint to find the other endpoint. This means that point B is located at (-0.5+6.5, -3+6) or (6, 3).
To check your work you can test the slope of the line and see that it is consistent from points A to B and from A to M.
[tex]\frac{(3--9)}{(6--7)}[/tex] = [tex]\frac{12}{13}[/tex] and [tex]\frac{(-3--9)}{(-.5--7)}[/tex] = [tex]\frac{6}{6.5}[/tex] which are both equal to ≈ .923077
Answer:
(6,3)
Step-by-step explanation:
What Is The Value Of X In The Following Equation? 3x-4(x+1)+11=0
A. 8
B. 7
C. 15
D. 22
Answer:
B) 7
Step-by-step explanation:
Subtract 11 by both sides
3x - 4(x + 1) + 11 - 11 = 0 - 11
Simplify
3x - 4(x + 1) = -11
Distribute 4
3x - 4x - 4 = -11
Add 4 to both sides and combine like terms
-x - 4 + 4 = -11 + 4
-x = -7
Divide both sides by -1
x = 7
The ideal mass for a piece of chocolate is 2.5 ounces. The actual mass for a production can vary by, at most, 0.08
ounces. Create an absolute value inequality and solve it to determine the range of chocolate masses.
Answer:
[tex]2.42\,oz \leq m_{real} \leq 2.58\,oz[/tex]
Step-by-step explanation:
The inequality must be the absolute value of the difference between real mass and ideal mass less or equal to 0.08 ounces. That is to say:
[tex]|m_{real} - m_{ideal}| \leq 0.08\,oz[/tex]
[tex]|m_{real} - 2.5\,oz| \leq 0.08\,oz[/tex]
There are two extreme cases:
[tex]m_{real,max} - 2.5\,oz = 0.08\,oz[/tex] and [tex]m_{real, min} - 2.5\,oz = -0.08\,oz[/tex]
[tex]m_{real, max} = 2.58\,oz[/tex] and [tex]m_{real,min} = 2.42\,oz[/tex]
Range of chocolate masses must be:
[tex]m_{real, min} \leq m_{real} \leq m_{real,max}[/tex]
[tex]2.42\,oz \leq m_{real} \leq 2.58\,oz[/tex]
8.4^3×4.8^2=
can you pleas help
Answer:
13655.90016
Step-by-step explanation:
[tex]8.4^3 \times 4.8^2 \\= 592.704 \times 23.04\\=13655.90016[/tex]
