The equation that could be used to determine x is ([tex]x^{2}[/tex] + 8x - 308).
As per the question, the small integer is x. So, the large integer will be (x + 8).
Also, the question mentions that their product is 308. Representing the given information in mathematical equation form -
x (x + 8) = 308
Performing multiplication on Left Hand Side of the equation
x² + 8x = 308
Shifting 308 from Right Hand Side to the Left Hand Side of the equation. the equation that will form is -
x² + 8x – 308 = 0
On solving this quadratic equation, we will get the negative numbers, which will validate our formed equation.
x² + 8x – 308 = 0
x² + 22x - 14x – 308 = 0
x (x + 22) - 14 (x + 22) = 0
(x + 22) (x - 14) = 0
x = -22 and 14
Since the numbers are negative, hence, value of small number is -22.
Large number = -22 + 8
Large number = -14
Thus, the small and large number is -22 and -14.
Therefore, the correct equation is x² + 8x – 308 = 0.
Learn more about problems on product of integers -
https://brainly.com/question/19258349
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The complete question is -
Two negative integers are 8 units apart on the number line and have a product of 308. Which equation could be used to determine x, the smaller negative integer? x² + 8x – 308 = 0 x² – 8x + 308 = 0 x² + 8x + 308 = 0 x² − 8x − 308 = 0
55 is 40% of what number?
a. 137.5
b. 110
c. 72.7
d. 13.8
Answer:
Answer Is A
Step-by-step explanation:
Just trust me
Mason made 19 more shots during
the basketball season than Noah.
Peter made 10 shots less during
the season than Noah. If Peter
made 23 shots, how many shots did
Mason make?
Answer:
52
Step-by-step explanation:
Let the number of shots Mason made be x.
No. of shots (Mason) = x
No. of shots (Noah) = x-19
No. of shots (Peter) = x-19-10
= x-29
x-29 = 23
x = 23 + 29
x = 52
Thus, Mason made 52 shots.
If p and a vary inversely and p is 26 when q is 5, determine q when p is equal to 10
Answer: q = 13
because p and q are inverse
=> 26/10 = q/5
⇔ q = 26/10.5
⇔ q = 13
Step-by-step explanation:
TR = 3x + 5, and RA = x + 17. Find the value of x.
Answer: x=6
Step-by-step explanation:
TR=RA since TR and RA are congruent
3x+5=x+17
3x+5-5=x+17-5
3x=x+12
3x-x=x-x+12
2x=12
2x/2=12/2
x=6
What is the exact value of tan(195°)?
Given:
The value is tan(195°).
To find:
The exact value of tan(195°).
Solution:
We have,
[tex]\tan (195^\circ)=\tan (180^\circ+15^\circ)[/tex]
[tex]\tan (195^\circ)=\tan (15^\circ)[/tex] [tex][\because \tan (180^\circ-\theta)=\tan \theta][/tex]
It can be written as
[tex]\tan (195^\circ)=\tan (45^\circ-30^\circ)[/tex]
[tex]\tan (195^\circ)=\dfrac{\tan (45^\circ)-\tan (30^\circ)}{1+\tan (45^\circ)\tan (30^\circ)}[/tex] [tex][\because \tan (A-B)=\dfrac{\tan A-\tan B}{1+\tan A\tan B}][/tex]
[tex]\tan (195^\circ)=\dfrac{1-\dfrac{1}{\sqrt{3}}}{1+(1)(\dfrac{1}{\sqrt{3}})}[/tex]
[tex]\tan (195^\circ)=\dfrac{\dfrac{\sqrt{3}-1}{\sqrt{3}}}{1+\dfrac{1}{\sqrt{3}}}[/tex]
[tex]\tan (195^\circ)=\dfrac{\dfrac{\sqrt{3}-1}{\sqrt{3}}}{\dfrac{\sqrt{3}+1}{\sqrt{3}}}[/tex]
[tex]\tan (195^\circ)=\dfrac{\sqrt{3}-1}{\sqrt{3}+1}[/tex]
Therefore, the exact value of tan(195°) is [tex]\dfrac{\sqrt{3}-1}{\sqrt{3}+1}[/tex].
Answer:
It's C
Step-by-step explanation:
1. A box of fruit has 12 plums and 15 bananas. The
cost of each plum is p and the cost of each banana is
25 cents. What expression gives the total cost for all
of the fruit in the box?
Answer:
12p x (15 x 25) I might not be correct :')
Answer:
12p+15x0.25
Step-by-step explanation:
The answers are written but I am not sure how they got them. Can someone please explain it to me? Thank you! (Worth 50 points :))
Answer:
x = 2.4
I'm not sure how the answer is 4.5 but I'm pretty sure this is right unless I'm missing something
Step-by-step explanation:
So we need to find how much shorter is the short line compared to the longer one. Basically we need a scale factor, for this we can use the side lengths already given to us, 10 and 15. So u can choose either enlarge the short line or shorten the longer one.
If u want to enlarge the short line then do 15/10 which is 3/2 which u will then multiply the shorter line's equation with it, if u want to shorten the longer line then do 10/15 which is 2/3 and multiply the longer lines equation with it.
I'll be using the 3/2 one cause why not:
3/2(x + 6) = 4x + 3
3/2x + 18/2 = 4x + 3
multiply the entire equation with 2 to make 3/2 no longer a fraction
(3/2x + 18/2 = 4x + 3)2
6/2x + 18 = 8x + 6
3x + 18 = 8x + 6
subtract 18 from both sides
3x = 8x - 12
subtract 8x from both sides
-5x = - 12
divide -5 from both sides
x = 2.4
U can input x into the equation to check:
3/2(2.4 + 6) = 4(2.4) + 3
12.6 = 12.6, it's right
Collin is collecting rocks for a science project. So far, he has collected 36 rocks, which is 90% of the total he needs. How many total rocks does Collin need for his science project?
Answer:
40 total rocks
Step-by-step explanation:
100 * 36 / 90 = 40
Answer:
he needs 4 more
Step-by-step explanation:
Type the correct answer in the box. Use numerals instead of words. If necessary, use / for the fraction bar. The Smiths are sending out a batch of holiday cards. Emily signed of the cards. Then Josh signed of the remaining cards. Tatiana signed 20% of what Josh had left. If there were 75 cards in all, how many cards are left to be signed? There are cards yet to be signed.
Answer:
You will get 75 cards
Step-by-step explanation:
The answer is 32
Emily signed 2/5 so 75 divided by 5 is 15
15x2 is 30
75-30=45
45 divided by 1/9 is 5
30+5=35
so then 45-5=40
20% of 40 is 8
30+5+8 = 43
75-43=32
solve the inequality |4x + 4| < 12
It’s 8x unless x has a known value
I need help!
And if you can explain that would be good!
Answer:
meema, papa, and then auntie jo
Step-by-step explanation:
you need to find the slope of each of them and then determine which one is the fastest and which one is the slowest.
meema: 48-24/4-2 = 4/2 = 2
papa: 40-24/5-3 = 16/2 = 8
auntie jo: 45-18/5-2 = 27/3 = 9
im in algebra two so you can trust my answer. happy holidays and stay safe!
-3х - y + 4 = 28
2х - 3y+ 2 = 2
3х - 2y + 2 = 2
Solve each system by elimination
Answer:
x=-72/11 y=-48/11
Step-by-step explanation:
yw !
Which systems of equations intersect at point A in this graph?
Y = 4 x - 9
y = - 3 x - 5
I hope this will help you
i looked this up and this is what i got
what did he do wrong
Answer:
He did nothing wrong in this problem.
Step-by-step explanation:
What is the common ratio of this sequence: 4, 20, 100...?
pls
Step-by-step explanation:
5 is the answer
..................
Triangles ABC and DEF are similar.
Find the length of segment AC.
Answer:
4.6 I think
Step-by-step explanation:
Help ,me !!!!!!!!!!!!!!!1
Answer: b
Step-by-step explanation:
Because it says below zero and b is below zero
On his last test Julie stated that the point (-3 ,4) was a solution to the system of equations below explain whether she was correct by using complete sentences and work to support your claim -3x+4y=25 and y= -3x+4
Answer:
(-3/5, 29/5)
Step-by-step explanation:
Given the simultaneous equation;
-3x+4y=25...... 1
y= -3x+4 ..... 2
We are to confirm if (-3, 4) is the solution to the equations;
Substitute equation 2 into 1;
From 1;
-3x+4y=25
-3x + 4(-3x+4) = 25
-3x -12x + 16 = 25
-15x = 25 - 16
-15x = 9
x = -9/15
x = -3/5
Substitute x = -3/5 into equation 2 to get y;
From 2;
y= -3x+4
y = -3(-3/5)+4
y = 9/5 + 4
Find the LCM
y = (9+20)/5
y = 29/5
Hence the solution to the system of equation is (-3/5, 29/5) hereby falsifying Julie's solution.
Answer in about 20 minutes please.
Grant went on an 8-week diet. If he lost at least 1.5 pounds each week, which inequality gives his total weight loss?
A. 8p (less than or equal to sign)-1.5
B. 8p (greater than or equal to sign)-1.5
C. p/8 (less than or equal to sign)-1.5
D. p/8 (greater than or equal to sign)-1.5
Terrance's homework grade was a 72, his project grade was an 80 and his exam grade was an 82.
Homework is worth 10% of the final grade, the project was worth 50%, and the exam was worth 40%.
What was Terrance's final grade?
Answer:
80%
Step-by-step explanation:
home work = 10%
project grade = 50%
final exam = 40%
so
homework = 72
100=10
72=? cross multiply and get 7.2%
project grade = 80
100 = 50
80 = ? cross multiply and get 40%
final exam = 82
100 = 40
82 = ? cross multiply and get 32.8%
then add them altogether getting a total of 80%.
Hanson is doing an obstacle course in gym class. First, he runs 500 meters and jumps over a hurdle. Then, he crawls through a 20-meter tunnel. Finally, he dribbles a soccer ball 100 meters to the finish line. How many kilometers long is the obstacle course?
Answer:
0.620 km
Step-by-step explanation:
0.500 + 0.020 + 0.100 = 0.620, or 0.62 km long
What is -2 (3x + 12y - 17x - 16y + 4) simplified?
Answer:
28x + 8y -8 is the answer for the question
Answer:
28x + 8y + 2
Step-by-step explanation:
hope it helps
What is 4x3.14x9x9x9
Answer:
9156.24
Step-by-step explanation:
calculator
Answer:
its 9156.24
Step-by-step explanation:
What is the answer to the problem: 1.234x139.893
and 674.983x278.475
Step-by-step explanation:
172.627962
187965.890925
Answer:
1.234 × 139.893 = 172.62796
674.983 × 278.475 = 187965.890925
Hope this helps! :)
NEED HELP WILL GIVE YOU EXTRA POINTS BY BRAINLIEST
Answer:
(-2,4)
Step-by-step explanation:
When you reflect over y = x, the x and y change places. F' is at (4,-2) .
Answer: (-2, 4)
Step-by-step explanation:
Swap x and y coordinates since you're reflecting over y=x.
(4, -2)==>(-2, 4) ==> The slope between these two points should be -1(y=-x). That way, you know the graph is being reflected over y=x.
m=(y2-y1)/(x2-x1)
m=(4-(-2))/(-2-4)
m=(4+2)/(-6)
m=6/(-6)
m=-1 ==> These two points are confirmed to be reflected over the line y=x.
Old coordinates: (-2, 4)
please help me fill out the blanks in the bottom!
Answer:
2: 67
3:67
4: 113
Step-by-step explanation:
Answer: 67 degrees, 67 degrees, 113 degrees
Step-by-step explanation:
Angle 2: 180-113= 67 degrees
Angle 3: angle 3=angle 2
67 degrees
Angle 4: angle 4=angle 1
113 degrees
At what point does the line y = -1/3x + 5 cross the x-axis? Write your answer as an ordered pair. (x, y)
The cost to rent a rug cleaner is $25 plus $15 per hour at Floors, Inc. At Rugs R Clean the rug cleaner costs $45 plus $7 per hour. Which inequality can be used to show how many hours you need to rent the rug cleaner so that Floors, Inc.'s charges will be same the charges at Rugs R Clean?
Answer:
25 + 15x < 45 + 7x
Step-by-step explanation:
Given:
Floors, Inc. Fixed charges = $25
Floors, Inc. Variable charges = $15 per hour
R rug clean Fixed charges = $45
R rug Variable charges = $7 per hour
Computation:
Assume number of hour = x
Floors, Inc. total cost = 25 + 15x
R rug total cost = 45 + 7x
So,
25 + 15x < 45 + 7x
PLEASE HELP ill give brainlist to the first right answer
Answer:
how do i say this uh...
Step-by-step explanation:
i wanna say 3 up and 4 across, then alighn. then 2 up and 1 across there.
Select the correct answer. A model rocket was launched from the top of a building. The rocket's approximate height can be modeled by the quadratic equation h = -4.9t2 + 53.9t + 127.4, where h is the rocket's height, in meters, after t seconds. When factored, this equation is h = -4.9(t - 13)(t + 2). What is a reasonable time for it to take the rocket to land on the ground? Answer A 11 seconds Answer B 13 seconds Answer C 2 seconds Answer D 15 seconds
Answer:
13 seconds.
Step-by-step explanation:
Given
[tex]h = -4.9(t - 13)(t + 2).[/tex]
Required
Determine a reasonable solution for t
To do this, we equate h to 0.
[tex]h = -4.9(t - 13)(t + 2).[/tex] becomes
[tex]0 = -4.9(t - 13)(t + 2).[/tex]
Divide through by -4.9
[tex]0 = (t - 13)(t + 2).[/tex]
Reorder the expression
[tex](t - 13)(t + 2) = 0.[/tex]
Split
[tex]t-13 = 0[/tex] or [tex]t + 2 = 0[/tex]
This gives:
[tex]t = 13[/tex] or [tex]t = -2[/tex]
But time can't be negative, So:
[tex]t = 13[/tex]