Answer:
Do you mean which equation should the 5x+10=15 be multiplied to?
it would be -2
Step-by-step explanation:
This is because 5 times -2 is -10
and so when you add the (now) x value of the first equation to the x value of the second equation, it gets 0
which makes it eliminated!
-10x+10x=0
Answer:
-2
Step-by-step explanation:
Which expression is equivalent to 9 x squared minus 2 y + 3 x squared minus 3 y? 6 x squared minus y + 6 x squared minus 5 y 6 x squared minus y + 3 x squared minus 4 y 10 x squared minus 4 y + 2 x squared minus y 11 x squared + 2 y + x squared minus 3 y
Answer:
10 x squared minus 4 y + 2 x squared minus y
Step-by-step explanation:
9x^2-2y+3x^2-3y
Collect like terms
9x^2+3x^2-2y-3y
=12x^2-5y
10 x squared minus 4 y + 2 x squared minus y
10x^2-4y+2x^2-y
Collect like terms
10x^2+2x^2-4y-y
=12x^2-5y
9x^2-2y+3x^2-3y is equivalent to
10x^2-4y+2x^2-y
Check all the options
6 x squared minus y + 6 x squared minus 5 y
6x^2-y+6x2-5y
12x^2-6y
6 x squared minus y + 3 x squared minus 4 y
6x^2-y+3x^2-4y
9x^2-5y
10 x squared minus 4 y + 2 x squared minus y
10x^2-4y+2x^2-y
12x^2-5y
11 x squared + 2 y + x squared minus 3 y
11x^2+2y+x^2-3y
12x^2-y
Answer:
C.) 12x squared- 2y- 3y
Step-by-step explanation:
i'm not 100 percent on this but it is the only logical answer, i will comment if i am right or not :) good luck luvs
What is the term to term rule for 4,12,36,108,324
Answer:
Multiply be 3 each time
Step-by-step explanation:
4*3=12
12*3=36
36*3=108
108*3=324
9 + 10c math and fractions
Answer:
19c
Step-by-step explanation:
simply add 10 and 9 together and then add the c at the end :)
What are the domain and range of the step function with the equation below?
fx)=-3[x]
The answer is Option C <3
The domain and range of the step function with the equation; f(x)=-3[x] is; the set of all real numbers in both cases.
What is the domain and range of the function?The domain of a function is the set of all possible input values of the function, while the range of the function is the set of all possible output values of the function.
On this note, the function f(x)=-3[x] given has its domain and range to be the set of all real numbers.
Read more on domain and range;
https://brainly.com/question/26098895
Which ratio is greater than StartFraction 5 Over 8 EndFraction?
Answer:
3/4
Step-by-step explanation:
5/8 is the same is 15/24
and 3/4 is the same as 18/24
and thus 3/4 is bigger than 5/8
Answer:
3/4
Step-by-step explanation:
5nj54jj54 i know its 3/4
What is the length of side MN?
Answer:
A
Step-by-step explanation:
The base angles L and N are congruent.
Thus the triangle is isosceles and ML = MN, that is
3x = x + 8 ( subtract x from both sides )
2x = 8 ( divide both sides by 2 )
x = 4
Thus
MN = x + 8 = 4 + 8 = 12 → A
Jenna created a scatter plot and drew a line of best fit, as shown
Answer:
y = -(3/4)x + 19
Step-by-step explanation:
If you look at the line, you have the y intercept already. so there is less work to do.
The equation for a linear line is y=mx+b (or c depending on which country you are from) where m is the gradient and b is the y intercept
b = 19 from the diagram
To find the gradient, it is y2-y1/x2-x1, so pick any 2 points, let say (16,7) and (0,19)
m = 19-7/0-16
= 12/-16
=3/-4
Sub the required numbers back into the equation
y = -(3/4)x + 19
Answer:
its D
Step-by-step explanation:
Hey i really need help
Answer:
B.
Step-by-step explanation:
Angles that form a straight line sum to 180 and are supplementary. Angles TKL and TLK are supplements of the congruent angles marked, TLR and SKT.
y is directly proportional to x.
y= 30
x= 6
a) work out an equation connecting y and x
b) work out the value of y when x=12
Answer:
a) y = 5x
b) y = 60
Step-by-step explanation:
y ∝ x
So, y = kx -----(1)
Where k is the constant of proportionality
Now, y = 30, x = 6
Putting in (1)
30 = k(6)
Dividing both sides by 6, we get
k = 5
Now, Putting k=5 in (1)
So,
a) The equation connecting x and y is :
y = 5x
b) x = 12, Putting in (1)
y = (5)(12)
y = 60
Answer:
a)y=5x
b)60
Step-by-step explanation:
it just is
What is the length of BC in the right triangle below?
Answer: D √234
Step-by-step explanation:
a^2 + b^2 = c^2
3^2 + 15^2 = c^2
9 + 225 = c^2
c = √234
2 3 4 5 6 7 8 9 10 TIME REMAINING 01:30:28 Angelica’s bouquet of a dozen roses contains 5 white roses. The rest of the roses are pink. What fraction of the bouquet is pink roses? There are 12 roses in a dozen.
Answer:
7/12
Step-by-step explanation:
Answer:
7/12
Step-by-step explanation:
12-5=7
7/12
mr anderson cuts a piece of metal in the shape of the triangle shown. The piece of metal has an area of 7 1/2 square feet. What is the base of the piece of metal ?
Answer:
3 ftStep-by-step explanation:
The question is incomplete. Here is the complete question.
"Mr. Anderson cuts a piece of metal in the shape of the triangle shown. The piece of metal has an area of 7 1/2 square feet. What is the base of the piece of metal? triangle 5ft high"
Area of the triangle = 1/2 * base * height
Given the area of the piece metal = 7 1/2 ft² and its height = 5ft (since the triangle is 5ft high). On substituting the values in the formula;
7 1/2 = 1/2* base * 5
15/2 = 5/2 * base
15 = 5 * base
base = 15/5
base = 3ft
The base of the piece of metal is 3ft
What is the common ratio for -2, 10, -50, 250
Answer:
Multiply by -5
Step-by-step explanation:
-2*-5=10
10*-5=-50
-50*-5=250
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibiotic regularly every 12 hours for 10 days. Sophia is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours, about 4.5% of the drug is still in the body. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose (10 points)? When will the total amount of the antibiotic in Sophia’s body be the highest? What is that amount (10 points)? Answer Sophia’s original question: Describe how much of the drug will be in her body at various points over the course of the 10 days (10 points).
Answer:
After 1st Dose:As Sophie has just taken the medicine, the quantity of drug present in her body is 500mg
After 2nd Dose:
Amount left from 1st dose = 4.5/100 × 500 = 22.5mg
Amount of Drug after 2nd dose = Amount left from 1st dose + 2nd dose taken.
Amount of Drug after 2nd dose = 22.5mg + 500mg
Amount of Drug after 2nd dose = 522.5mg
After 3rd Dose:
Amount left from 2nd dose = 4.5/100 × 522.5 = 23.513 mg
Amount of Drug after 3rd dose = Amount left from 2nd dose + 3rd dose taken.
Amount of Drug after 3rd dose = 23.513mg + 500mg
Amount of Drug after 3rd dose = 523.513 mg
After 4rth Dose:
Amount left from 3rd dose = 4.5/100 × 523.513 = 23.558mg
Amount of Drug after 4rth dose = Amount left from 3rd dose + 4rth dose taken.
Amount of Drug after 4rth dose = 23.558mg + 500mg
Amount of Drug after 4rth dose = 523.558 mg
Highest Amount:
The pattern formed above can be written in the form of sum of finite geometric series:
Sₙ = 500 + 500(0.045) +500(0.045)² + ........................500(0.045)ⁿ
Sₙ = 500(1 + 0.045 + 0.045² ........................0.045ⁿ)
Where
Sₙ = Sum till nth term
a = 500
r = 0.045
As Sophia takes medicines 2 times a day, she takes medicine 20 times in 10 days. So substitute n=20 in the formula for the sum of finite geometric series
[tex]S_n=a\frac{(1-r^n)}{1-r}\\S_{20}=500(\frac{1-0.045^{20}}{1-0.045})\\S_{20}=523.5602~\text{mg}[/tex]
Greatest amount of antibiotic present = 523.5602 mg
This amount is almost constant after 3rd dose, so it will occur after every dose after 3rd dose
Drug present in body at different points:
After 1st dose = 500mg
After 2nd dose = 522,5mg
After 3rd dose = 523.513 mg
After the the amount left in the body almost remains constant.
Which means that after each dose, the amount in body is maximum, at the end of the 12 hours, the amount reduces to 4.5%, which reaches almost the same maximum after taking another dose.
How do i Solve: 3x2−6x−12=0 ?
Answer:
1 + root 5, 1 - root 5
Step-by-step explanation:
I assume you mean 3x^2-6x-12=0.
First, note that you can divide both sides by 3. You get:
x^2-2x-4=0
Use the quadratic equation.
[tex]x=\frac{2\pm\sqrt{4+16}}{2}=\frac{2\pm2\sqrt{5}}{2}=1\pm\sqrt{5}[/tex]
Therefore, x=1 + root 5, 1 - root 5
HELP ME OUT! A 15 foot ladder rests against a tree on level ground and forms a 75° angle of elevation. Where is the correct location of the 75° angle? Select one:
a. Between the tree and the ground
b. Between the ladder and the tree
c. It is not possible to place a 75° angle on such a figure.
d. Between the ladder and the ground
Answer:
D. Between the ladder and the ground
Step-by-step explanation:
The 75° is made by the ladder leaning on the tree. So the angle would be from the ground up to the ladder.
What is the quotient? 2 1/5 over -1/10
Answer:
-22
Step-by-step explanation:
Step 1: Change 1 1/5 to improper fraction
11/5
Step 2: KCF (Keep Change Flip)
11/5(-10/1)
-110/5
Step 3: Simplify
-22
And we have our answer!
What is the decimal multiplier to increase by 5.3%?
Answer:
1.053
Step-by-step explanation:
1.053(100)=105.3
Sophia has an ear infection. The doctor prescribes a course of antibiotics. Sophia is told to take 500 mg doses of the antibiotic regularly every 12 hours for 10 days. Sophia is curious and wants to know how much of the drug will be in her body over the course of the 10 days. She does some research online and finds out that at the end of 12 hours, about 4.5% of the drug is still in the body. What quantity of the drug is in the body right after the first dose, the second dose, the third dose, the fourth dose (10 points)? When will the total amount of the antibiotic in Sophia’s body be the highest? What is that amount (10 points)? Answer Sophia’s original question: Describe how much of the drug will be in her body at various points over the course of the 10 days (10 points).
i don’t know if i’m too late but here i just finished. also mark me brainliest if you like it :)
Can someone please help me with this question? Thanks.
Area = length x width
Area = 3x + 5 Cm x 8 cm
Multiply each term by each term.
Area = 24x + 40 square cm
Answer:
[tex](24x+40) \: cm^2[/tex]
Step-by-step explanation:
Area of rectangle is [tex]lw[/tex]
[tex]8 \times (3x+5)[/tex]
The length is (3x+5) cm.
The width is 8 cm.
[tex]8(3x+5)[/tex]
Expand the brackets.
[tex]8(3x)+8(5)[/tex]
[tex]24x+40[/tex]
A savings account pays 4 1/2% interest. How much interest
will be earned on $450 in 3 years? How much money will
be in the account in 3 years?
i already know the answer but don’t know how to solve it help please!!!
Answer:
Interest = $60.75
Amount = $510.75
Step-by-step explanation:
The formula for finding interest is;
Interest = Principal * Rate * Time
And here;
Principal = $450
Rate = 41/2% or 4.5%
Time = 3 years
Interest = [tex]\frac{450 * 45 * 3}{1000}[/tex]
Divided by 100 because of the percentage of the rate but here I made it 1000 because I moved the decimal point in the 4.5 forward once which means I have to add 0 to the denominator.
= [tex]\frac{45*45*3}{100}[/tex]
= [tex]\frac{6075}{100}[/tex]
= $60.75
Now the amount is simply the Principal + Interest which will be;
= $450 + $60.75
= $510.75
I have been on this for ages it’s really annoying me could you help
Answer:
D
Step-by-step explanation:
To be perpendicular to each other, the product of the slopes of the two lines must be -1. The slope of the given line is 3 so we need to find a line with slope of -1 / 3. This is option D.
if f(x)= -3-5 and g(x)= 4x-2, find (f-g)(x)
Answer:
3^x+6x+2
Step-by-step explanation:
if f(x)= -3-5 and g(x)= 4x-2, find (f-g)(x)=3^x+6x+2
Dan spends 1/5 of his wages on rent and 2/3 on food. If he makes £495 per week how much money does he have left
Answer:
£66
Step-by-step explanation:
1/5 times £495
2/3 times £495
Rent =£99
Food =£330
99+330=429
495-429=£66
I hope that help you and you learned how to do it for next time.
Answer:
£66 Left
Step-by-step explanation:
Total Money = £495
Rent:
=> [tex]\frac{1}{5} * 495[/tex]
=> £99
Food:
=>[tex]\frac{2}{3} * 495[/tex]
=> 2 * 165
=> £330
Left:
=> £495-£99-£330 = £66
Examine the box and whisker plot below. Identify the third quartile of the data set.
a. 14
b. 23
c. 15
d. 19.5
Answer:
b
Step-by-step explanation:
The third quartile is the upper quartile whose value is the value on the right side of the box, that is
third quartile = 23 → b
Answer: B 23
Step-by-step explanation:
The third quartile comes after the median.
AB and BC are tangents. Find x.
Answer:
x=74
Step-by-step explanation:
If two tangent segments are drawn from the same external point, then the segments are equal.
Answer:
As we know that the theorm says that tangents drawn from external points of circle are equal so
AB = BC
X - 24 = 50
x = 50 - 24
x = 26
Hooe it helps u
In simplest radical form, what are the solutions to the quadratic equation 6 = x2 – 10x? Quadratic formula: x = StartFraction negative b plus or minus StartRoot b squared minus 4 a c EndRoot Over 2 a EndFraction
Answer:
x = 5±√31
Step-by-step explanation:
Step 1: Complete the Square
x² - 10x + 25 = 6 + 25
(x - 5)² = 31
Step 2: Solve for x
√(x - 5)² = √31
x - 5 = ±√31
x = 5±√31
And we have our answers!
Answer:
its A on edge
Step-by-step explanation:
If f(x)= negative -3x +4 and g(x)=2 solve for the value of X for the which f(x) =g(x) is true
Answer:
x = -2/3
Step-by-step explanation:
Step 1: Convert signs
f(x) = -(-3x) + 4
f(x) = 3x + 4
Step 2: Set f(x) and g(x) equal to each other and solve for x
3x + 4 = 2
3x = -2
x = -2/3
And we have our final answer!
Solve and check |2x − 1| = |4x + 9|
Answer:
x = -5 or x = -4/3
Step-by-step explanation:
First possibility.
|2x − 1| = |4x + 9|
2x - 1 = 4x + 9
2x - 4x = 9 + 1
-2x = 10
x = 10/-2
x = -5
Second possibility.
2x - 1 = - (4x+9)
2x - 1 = -4x - 9
2x + 4x = -9 + 1
6x = -8
x = -8/6
x = -4/3
Answer:
[tex] |2x - 1| = |4x + 9| [/tex]
this equation can be separated into 2 possible cases :
[tex]2x - 1 = 4x + 9[/tex]
and
[tex]2x - 1 = - (4x + 9)[/tex]
solve the 1st possible case:
[tex]2x - 1 = 4x + 9[/tex]
[tex]2x - 4x = 9 + 1[/tex]
[tex] - 2x = 10[/tex]
[tex]x = - \frac{10}{2} [/tex]
[tex]x = - 5[/tex]
solve the 2nd possible case:
[tex]2x - 1 = - (4x + 9)[/tex]
[tex]2x - 1 = - 4x - 9[/tex]
[tex]2x + 4x = - 9 + 1[/tex]
[tex]6x = - 8[/tex]
[tex]x = \frac{ - 8}{6} [/tex]
[tex]x = - \frac{4}{3} [/tex]
so the x value for this equation is:
x = -5 or x = -1.333
WILL GIVE BRAINIEST TO ONLY THE FIRST ANSWER!! Find the sum of the first 150 terms in the sequence 20, 15, 10, 5...
Answer:
-450
Step-by-step explanation:
Say the first number is x to get the idea.
The first 150 terms are 150x - 5 * 150
15x - 750
300 - 750 = -450