Answer:
really
Step-by-step explanation:
unit 1 test algebra 2
6) The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
7) The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
8) The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
9) There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
We have,
6)
x² + 8x - 15 = 5x + 13
Rearranging the equation:
x² + 8x - 5x - 15 - 13 = 0
x² + 3x - 28 = 0
Now, factorize the quadratic equation:
(x + 7)(x - 4) = 0
Setting each factor equal to zero:
x + 7 = 0 or x - 4 = 0
Solving for x:
x = -7 or x = 4
7)
2x (x - 5) (x + 7) = 0
Setting each factor equal to zero:
2x = 0 or x - 5 = 0 or x + 7 = 0
Solving for x:
x = 0 or x = 5 or x = -7
8)
(x + 5) (x + 8 + 2x - 3)
Simplifying the expression inside the parentheses:
(x + 5) (3x + 5)
9)
x³ - 5x² + 2x + 13 = 5
Substitute each integer value from 0 to 10 into the equation and count the number of solutions.
Substituting each integer value,
x = 0,
x³ - 5x² + 2x + 13 = 5
0 - 0 + 0 + 13 = 5
13 = 5
Not true.
Similarly,
x = 2,
x³ - 5x² + 2x + 13 = 5
8 - 20 + 4 + 13 = 5
25 - 20 = 5
5 = 5
True.
x = 4,
x³ - 5x² + 2x + 13 = 5
64 - 80 + 8 + 13 = 5
85 - 80 = 5
5 = 5
True.
There are two integer solutions:
x = 2 and x = 4.
Therefore,
The solution set of the equation x² + 8x - 15 = 5x + 13 is {-7, 4}.
The zeroes of the expression 2x (x - 5) (x + 7) are {-7, 0, 5}.
The expression (x + 5) (x + 8) + (x + 5)(2x - 3) can be written as a product of (x + 5) and (3x + 5).
There are 2 integer solutions on the interval 0 ≤ x ≤ 10 for the equation x³ - 5x² + 2x + 13 = 5.
Learn more about expressions here:
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Which fraction is equal to the decimal 0.137?
Answer:
137/1000
Step-by-step explanation:
Answer:
137/1000 also 13.7 percent
Step-by-step explanation:
Please help I don’t get it
Answer:
the answer is y= 3/4x+2
Step-by-step explanation:
the y intercept is your constant term, which is 2. Your slope is how much the line is incresing with every x. Hope this helped xxx
Y-y1 = m(X-x1)
Y-2 = -3/4 (X-0)
Y-2 = -3/4x
Y = -3/4x + 2
Are 3/5 and 18/32 equivalent ratios? Explain how you know (be specific). If you just say yes or no you will not get full credit. *
Answer:
No they are not equivalent,
Step-by-step explanation:
3 x 6 is 18 and 5 x 6 is 30, not 32 so it is non-equivalent
9. Suppose GH = JK. HI = KI and QI = ZL. How can you prove that GHI is congruent to JKL ?
You can use SAS to prove the triangles are congruent.
You can use SSS to prove the triangles are congruent.
You can use SSA to prove the triangles are congruent.
There is not enough information to prove that the triangles are congruent.
Answer:
C. SSSStep-by-step explanation:
Since we are not given any angle measure and three side measure, we can prove these triangles congruent by SSS.
To prove triangle GHI and JKL are congruent, rule SSS is used.
What are congruent triangles?Two triangles are said to be congruent if all three corresponding sides are equal and all the three corresponding angles are equal in measure.
Different rules of congruency are as follows.
SSS (Side-Side-Side)
SAS (Side-Angle-Side)
ASA (Angle-Side-Angle)
AAS (Angle-Angle-Side)
RHS (Right angle-Hypotenuse-Side)
Given
Triangles GHI and JKL
GH = JK
HI = KI
QI = ZL
All three sides are equal in both triangles.
By side-side-side theorem,
ΔGHI ≅ΔJKL
Hence, by SSS theorem, it is proved the triangles are congruent.
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Julio pald 1.2 times his normal hourly rate for each hour he works over 30 hours a week Last week he worked 43 hours and earned $574.56
Answer:
482.70
Step-by-step explanation:
First, find out how much he earned per hour last week. 576.56 divided by 43 is 13.41.
Second, multiply his hourly earnings by 1.2, 1.2*13.41=16.09 So he earns 16.09 per hour
Lastly, multiply 16.09 by 30, 16.09*30=482.7 So he earns about $482.70 each week.
Find the slope between (9,-2) and (-1,5)
Answer:
7/-10
Step-by-step explanation:
subtract
5-(-2) = 7
-1-9 = -10
Answer:
The slope is -0.7 or -7/10
Step-by-step explanation:
For 10 x values decreased, the y values go up 7 values. So the slope is -7/10 or -0.7
I hope that this helps! :)
Select the correct answer.
Gio created a scatter plot and drew a line of best fit, as shown
Answer:
y=3x+5 is the answer for this question
Answer:
y= 1/3x+4
Step-by-step explanation:
The y-intercept is at 4 and the slope is 1/3
So how are 1/2 and 4/8 Similar?
Answer:They both equal 1 half
Step-by-step explanation:To put it a lil more simply, 1/2 = 0.5 and 4/8 also = 0.5
Answer:
1/2 is 4/8. 1/2 is just 4/8 but simplified. So 12/36 simplified is 1/3, 24/48 is 1/2
please help me thanks .
Answer:
3 and 3/4
Step-by-step explanation:
Answer:
121.5 :) hope this helped
Tara has two bags of marbles. The first bag contains 6 red marbles, 5 blue marbles, and 4 green marbles. The second bag contains 3 red marbles, 2 blue marbles, and 4 green marbles. Tara will randomly select 1 marble from each bag.
What is the probability that Tara will select a blue marble from each bag?
Answer:
The first bag, 1 in 3 and the second, 2 in 9.
Step-by-step explanation:
If there are 15 total marbles in the first bag, and 5 blue, there is a 5 in 15 chance, or 1 out of 3 chance she could pull a blue out of the first bag. The second bag, has 9 in total and 2 blue, so there is a 2 in 9 chance she could pull out a blue from the second bag. Hope this helps!
Answer:
2/27
Step-by-step explanation:2/27
Dana is making a seating chart for an awards banquet. There are 152 people coming to the banquet.
If 8 guests can be seated at each table, how many tables will be needed for seating for the awards
banquet?
tables will be needed.
Answer:
19
Step-by-step explanation:
152/8
8а +а – 3 = 6а – 2а - 3
Answer:
a=0
Step-by-step explanation:
Answer: a=0
Step-by-step explanation:
8a+a−3=6a−2a−3
Step 1: Simplify both sides of the equation.
8a+a−3=6a−2a−3
8a+a+−3=6a+−2a+−3
(8a+a)+(−3)=(6a+−2a)+(−3)(Combine Like Terms)
9a+−3=4a+−3
9a−3=4a−3
Step 2: Subtract 4a from both sides.
9a−3−4a=4a−3−4a
5a−3=−3
Step 3: Add 3 to both sides.
5a−3+3=−3+3
5a=0
Step 4: Divide both sides by 5.
5a /5= 0/5
Answer: a=0
(hope that was helpful )
0x + 8 = 5x - 3 What is X?
Answer:
x= 11/5 OR 2.2
Step-by-step explanation:
Answer: x= 2.2
Step-by-step explanation:
0x+8=5x-3
+3 +3
0x+11=5x
5 5 5
x=2.2
Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60÷5=12. Does Noah’s method always work? Explain why or why not.
Answer:
yes
Step-by-step explanation:
because if you divide what you said its will have a sum
Identify the constant of proportionality from the graph.
11
10
9
8
7
6
5
4
3
2
1
1 2 3 4 5 6 7 8 9 10 11
O A. 3
B. 6
O D. 9
Answer:
D
Step-by-step explanation:
9 is the constant of proportionality
Have a great day
this is pretty easy
two step equation!!
Answer:
Step 1: Simplify both sides of the equation.
z
3
−8=−4
1
3
z+−8=−4
1
3
z−8=−4
Step 2: Add 8 to both sides.
1
3
z−8+8=−4+8
1
3
z=4
Step 3: Multiply both sides by 3.
3*(
1
3
z)=(3)*(4)
z=12
Answer:
z=12
Step-by-step explanation:
can someone answer this
Answer: It's obviously D.
Step-by-step explanation:
Which are equivalent equations? Select two correct answers.
d1 = 2Ad2
d1 = d 1 equals StartFraction 2 A Over d 2 EndFraction.
d2 = d 2 equals StartFraction d 1 Over d2 A EndFraction.
d2 = d 2 equals StartFraction 2 A Over d 1 EndFraction.
d2 = 2Ad1
Answer:
B and D if not sorry
Step-by-step explanation:
Answer:
b and d
Step-by-step explanation:
I'M GIVING BRAINLIEST
I just need help with the equation, you don't have to solve it
Answer:
OOF
Step-by-step explanation:
Answer: i don't actually know, sorry but i need to get my points so i'm typing this.
Step-by-step explanation: none
Help me plzplzplzplz1
Answer:
The answer is 400 when you round it off to the nearest hundred.
what is 10m-2?
Variables are really hard for me so if anyone can help me with this problem that would be really great
Answer:
tytyty
Step-by-step explanation:
5 stars and a thank you
Answer:
ok
Step-by-step explanation:
. Consider the following standards.
MAFS.912.F-BF.1.1b: Combine standard function types using arithmetic operation. For example, build a function that models the temperature of a cooling body by adding a constant function to a decaying exponential, and relate these functions to the model. MAFS.912.F-BF.1.1c: Compose functions. For example, if T(y) is the temperature in the atmosphere as a function of height, and h(t) is the height of a weather balloon as a function of time, then T(h(t)) is the temperature at the location of the weather balloon as a function of time.
Part A: Describe the difference in combining functions and composing functions.
Part B: Give a real-world example of combining functions.
Part C: Give a real-world example of composing functions.
Part A:
A combined function is defined by combining with existing functions using addition, subtraction, multiplication or division.
A composite function is created by plugging one function into another.
Part B:
The class is selling sweaters an. the cost of each sweater is 8 dollars. There is a fee to create the design. The class plans to sell the sweaters for 12 dollars.
Part C:
Amy works at a baked goods store. She receivers a weekly salary of 350 dollars and is payed 3 percent commission on weekly sales over 1,500 dollars.
oof that took a while lol
Is y=3x-8 proportional
Step-by-step explanation:
YES! HOP THIS HELPS
THIS IS FOR 60PTS SO ANSWER Explain how you got your answer 4x-20+2x-12=10
Answer:
x = 0.333...(repeating or .34 if u round)
Step-by-step explanation:
add 4x and 2x= 6x
20- 12 = 8
6x + 8 = 10
-8 -8
6x = 2
6 6
x = 0.333...(repeating or .34 if u round)
I need help with this question ASAP
use the slope-intercept form to graph y=3/5x-3
Answer:
Step-by-step explanation:
The Bigtown football team outscored its opponents 5:2 last season.
If their opponents scored 38 points, how many points did Bigtown
score?
Step-by-step explanation:
5:2 add to find total ratios 7
opponents=2/7=38
bigtown=5/7=95
Answer: The big town team scored 95 points.
Step-by-step explanation: Given that the big town football team outscored its opponents 5:2 last season and their opponents scored 38 points.
We are to find the points scored by big town team.
Let 5x and 2x represents the points scored by big town team and their opponents.
Then, according to the given information, we have
2r = 38
r = 38/2
r = 19
Therefore, the points scored by big town team is given by
5 X 19 = 95.
Thus, the big town team scored 95 points.
Which inequalities have the solution set graphed on the
number line? Check all that apply.
O x2 -1.5
Oxs -1.5
D -1.5 SX
D -1.5 2 x
Oxs -2.5
O x 25
25 2x
Answer:
B,C
Step-by-step explanation:
