Answer: C
Step-by-step explanation:
Answer:
C
Step-by-step explanation:
Evaluate the expression 16 + 36 = b for b = 4
Answer:
[tex]b=52[/tex]
Step-by-step explanation:
[tex]16+36=b[/tex]
[tex]Switch\:sides[/tex]
[tex]\mathrm{Add\:the\:numbers:}\:16+36=52[/tex]
[tex]b=52[/tex]
Will give brainliest if correct.
Answer:
Step-by-step explanation:
a. $7.
b. $1x.
c. $20.
d. $5y.
e. $1x + $5y.
I hope this helps, sorry if I am incorrect. Have a nice day!
For the function f(x) = x2 + 4x - 12 solve the following.
f(x) < 0
Answer:
(-6,2)
Step-by-step explanation:
[tex]f(x)<0[/tex]
We are given [tex]f(x)=x^2+4x-12[/tex].
So we need to solve:
[tex]x^2+4x-12<0[/tex]
First let's find when the expression on the left is 0.
[tex]x^2+4x-12=0[/tex].
The expression on the left is factorable.
Given the coefficient of [tex]x^2[/tex] is 1, all we have to do is see if there are two numbers that multiply to be -12 and add to be 4.
Those numbers are 6 and -2 so the factored form is:
[tex](x+6)(x-2)=0[/tex]
So the solutions can be found be solving the following linear equations:
[tex]x+6=0[/tex] and [tex]x-2=0[/tex].
First equation, you just need to subtract 6 on both sides. [tex]x=-6[/tex]
Second equation, you just need to add 2 on both sides. [tex]x=2[/tex]
So draw a number line with those on it and test the intervals they divide.
--------(-6)--------(2)----------
So we need to test three intervals.
*Plug in a number before -6 to see if that piece of the function is above the x-axis or below. We are looking for below since we want [tex]f(x)<0[/tex].
Let's plug in x=-8
[tex]f(x)=(x+6)(x-2)[/tex] or use [tex]f(x)=x^2+4x-12[/tex].
[tex]f(-8)=(-8+6)(-8-2)[/tex]
[tex]f(-8)=(-2)(-10)[/tex]
[tex]f(-8)=20[/tex] so this piece is above since 20 is positive and not negative.
So we will not include this interval in our answer.
*Plug in a number between -6 and 2 like 0.
[tex]f(x)=(x+6)(x-2)[/tex]
[tex]f(0)=(0+6)(0-2)[/tex]
[tex]f(0)=(6)(-2)[/tex]
[tex]f(0)=-12[/tex] so this piece is under since -12 is negative and not positive.
So our solution includes the interval (-6,2).
*Plug in a number after 2 like 5.
[tex]f(x)=(x+6)(x-2)[/tex]
[tex]f(5)=(5+6)(5-2)[/tex]
[tex]f(5)=(11)(3)[/tex]
[tex]f(5)=33[/tex] so this piece is above since 33 is positive and not negative.
The answer only includes the interval (-6,2).
what is the answer to (-3)×(-5)
Answer:
15
Step-by-step explanation:
-3 x -5 = 15
Which relation is a function?( click all that apply)
What is the final amount if 1015 is decreased by 6% followed by a 19% increase?
Give your answer rounded to 2 DP. PLSE help
Answer:
1,123.30
Step-by-step explanation:
first of all, you are decreasing 1015 by 6 percent so it will be
1015 * 0.93 because you are decreasing it from the percentage
then, you are increasing it by 19 percent so you mulitply what you got on the previous calculation and multiply it by 1.19
943.95 * 1.19
and answer will be 1,123.30
Find the area of the following figure.
18 square units
16 square units
12 square units
24 square units
You have a cake that is 10 inches in diameter. You expect 12 people to share it, so you cut it into 12 equal slices. Before you get a chance to serve the cake, 12 more people arrive! So, you decide to cut a concentric circle in the cake so that you will have 24 pieces. How far from the center of the cake should the circle cut be made so that all 24 people get the same amount of cake?
Answer:
3.5355 inches
Step-by-step explanation:
Area should be same the concentric circle and rest piece .
let's consider the radius of concentric circle as r
so it's area is π r²
area of whole circle is π (5)" ( because diameter is 10 inches)
so the area of rest piece is π (5)² - π r²
π (5)² - π r² = π r²
5² = 2r²
r² = 25/2
r = √(25/2)
r = 3.5355 inches
Consider the following.
cos(x) = x3
A) Prove that the equation has at least one real root.
The equation cos(x) = x3 is equivalent to the equation f(x) = cos(x) − x3 = 0. f(x) is continuous on the interval (0, 1) there is a number c in (0, 1) such that f(c) = 0 by the Intermediate Value Theorem. Thus, there is a root of the equation cos(x) = x3, in the interval (0, 1).
B) Use your calculator to find an interval of length 0.01 that contains a root.
Answer:
Step-by-step explanation:
Given that:
cos(x) = x³
f(x) = cos (x) - x³
f(x) is continuous on the interval (0, 1)
when;
f(0) = cos (0) - (0)
f(0) = 1 - 0
f(0) = 1 > 0
f(1) = cos (1) - 1³
f(1) = 0.5403 - 1
f(1) = -0.4597
f(1) = - 0.46
f(1) = - 0.46 < 0
Since, 1 > 0 > -0.46, thus there is a number ''c" in (0,1)
such that f(c) = 0
By applying the Intermediate Value Theorem, there is a root of the equation in the interval (0,1)
b) Given that:
The interval length = 0.01; this implies that it is 0.005 length from its root.
f(0.865) = 0.0014
f(0.87) = - 0.013
The solution to the interval lies between 0.865 , 0.87 by using a calculator at length 0.01.
a line has a slope of 8 and a y intercept of 9 what is its equation in slope intercept form
Answer:
y= 8x +9
Step-by-step explanation:
Slope-intercept form:
y= mx +c, where m is the slope and c is the y-intercept.
Given that the slope is 8, m= 8.
Substitute m= 8 into the equation:
y= 8x +c
Given that the y-intercept is 9, c= 9.
Substitute c= 9 into the equation:
y= 8x +9
Thus, the equation of the line is y= 8x +9.
Answer the following parts asked.
Answer:
[tex]f(n) = 15 + (n + 1)[/tex]
Step-by-step explanation:
Tina earns $15 every week when she mows the lawn.
We would put $15 because she earns $15 every week.
She earns 15 every week, so we would put (n + 1).
Our final answer would be [tex]f(n) = 15 + (n + 1)[/tex]
Answer:
The explicit rule is:
[tex]f(n)=60+15(n-1)[/tex]
After 15 week, Tina will have $270 in her savings account.
Step-by-step explanation:
Let’s write down our sequence so we can see it better.
For the first week (i.e. the first term), Tina has $60.
For the second week (i.e. the second term), Tina has $75.
And for the 3rd, 4th, 5th, and 6th week, Tina has $90, $105, $120, and $135, respectively.
Therefore, we can write the following sequence:
60, 75, 90, 105, 120, 135...
Note that our initial term a is 60.
And our common diffference will be 15.
Let’s find the explicit rule. The standard format for an explicit rule is:
[tex]f(n)=a+d(n-1)[/tex]
Where a is the initial term and d is the common difference.
Let’s substitute 60 for a and 15 for d. Hence, our explicit formula is:
[tex]f(n)=60+15(n-1)[/tex]
So, to find the amount Tina will have in her savings account in 15 weeks, we will substitute 15 for n and evaluate. So:
[tex]f(15)=60+15(15-1)[/tex]
Evaluate:
[tex]\begin{aligned} f(15)&=60+15(14) \\ f(15)&=60+210 \\ f(15)&=270 \end{aligned}[/tex]
Hence, after 15 weeks, Tina would have $270 in her savings account.
what are the three products of celullar respiration
Answer:
Cellular respiration is this process in which oxygen and glucose are used to create ATP, carbon dioxide, and water. ATP, carbon dioxide, and water are all products of this process because they are what is created.
Step-by-step explanation:
36
Is
✓11 rational or irrational?
25
Answer:
rational
Step-by-step explanation:
can you make the answer into a fraction or decimal yes you get 4.77
Answer:
the answer is rational
Example:
A family wants to purchase a house that costs $145,000. They plan to take out a $115,000 mortgage on the house and put $30,000 as a down payment. The bank informs them that with a 15-year mortgage their monthly payment would be $785.99 and with a 30-year mortgage their monthly payment would be $521.41. Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage. How much would they save if they selected the 15-year mortgage?
Answer:
A. 15-year mortgage =$141,478.20
30-year mortgage =$187,707.60
B. $46,229.40
Step-by-step explanation:
A. Calculation to Determine the amount they would save on the cost of the house if they selected the 15-year mortgage rather than the 30-year mortgage.
Calculation for 15-year mortgage
Cost amount to save for 15-year mortgage=$785.99*15-year*12 months
Cost amount to save for 15-year mortgage =$141,478.20
Calculation for 30-year mortgage
Cost amount to save for 30-year mortgage =$521.41*30-year*12 months
Cost amount to save for 30-year mortgage =$187,707.60
B. Calculation for How much would they save if they selected the 15-year mortgage
Using this formula
Amount to save=30-year mortgage -15-year mortgage
Let plug in the formula
Amount to save=$187,707.60-$141,478.20
Amount to save=$46,229.40
Therefore How much would they save if they selected the 15-year mortgage will be $46,229.40
Solve the equation for x.
Answer:
x = 5
Step-by-step explanation:
4(x-1)/8 = 2(x+2)/7
7*4(x-1) = 8*2(x+2)
28(x-1) = 16(x+2)
28*x + 28*-1 = 16*x + 16*2
28x - 28 = 16x + 32
28x - 16x = 32 + 28
12x = 60
x = 60/12
x = 5
Check:
4(5-1)/8 = 2(5+2)/7
4*4/8 = 2*7/7
16/8 = 2*1 = 2
help im being timed what is the perimeter of this triangle?!
Answer:
AB + BC + CA
Step-by-step explanation:
12b-8 + 12b- 8 + 9b+8
33b - 8
PLEASE HELP ME IT WOULD BE AMAZING IF YOU CANNN
1. Determine which of the congruency shortcuts can be used to prove that point
the triangles are congruent.
+
SSS
SAS
ASA
AAS
HL
Not enough information
Answer:
SSS
Step-by-step explanation:
it shows that all three sides are congruent by the congruency lines
it does not show any angles, and it does not show only one or two sides are congruent
A carnival ride consists of four circular cars - a b c d - each of which spins about at its center point The center points of cars a and b are attached by a straight beam as are the center points of c and d The 2 beams are attached at their midpoints by a rotating arm. A plan for the ride uses coordinate plane in which each unit represents one meter. In the plan, the center of car A (-6,-1) and B (-2,-3) and C (3,4) and D (5,0). Each car has a 3m diameter
Answer:
Hello your question is incomplete attached below is the complete question
Answer : The shape of the fence will be a circle
dimensions of the fence are : radius = 6.5 meters
Step-by-step explanation:
First we calculate the length of the different arms
AB = [tex]\sqrt{(-2+6)^2 + (-3+1)^2}[/tex]
≈ 4.47
CD = [tex]\sqrt{(5-3)^2 + (0-4)^2}[/tex]
≈ 4.47
Next we calculate the midpoint of these two arms
M1 = [tex]( \frac{-6-2}{2} , \frac{-1-3}{2} )[/tex] = ( -4, -2 )
M2 = [tex]( \frac{3+5}{2} , \frac{0+4}{2} )[/tex] = ( 4,2 )
hence midpoint of M1,M2 =( M ) = ( 0,0 )
finally considering M calculate the distance between M and car B,D
MB = [tex]\sqrt{(0+2)^2 + (0+3)^2}[/tex] = 3.60
MD = [tex]\sqrt{(0-5)^2 + (0)^2}[/tex] = 5
therefore the radius of the fence will be
= 5 + 1.5 = 6.5 meters ( because MD > MB )
What is the answer to this
2(x-5)-6=-18
x=___
Answer:
x= -1
Step-by-step explanation:
Distribute:2(x -5) -6 = -18
2x -10 -6 =-18
Subtract the numbers:2x -10 -6 =-18
2x -16 = -18
Add 16 to both sides of the equation:2x =16 += -18
2x -16 +16 = -18 +16
Simplify:2x = -2
Divide both sides of the equation by the same term:2x/2 = -2/2
Simplify:x=-1
Answer:x = -1
In a bag of coloured jellybeans, the ratio of yellow to orange to red is 6 : 5 : 4. If there are 60 jellybeans in the bag, how many of each colour are there?
Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:
Yellow = 24 jellybeansOrange = 20 jellybeans Red = 16 jellybeansTo find the number of yellow jellybeans:
= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total
= 6 / (6 + 5 + 4) x 60
= 24 yellow jellybeans
Orange jellybeans:
= 5 / 15 x 60
= 20 orange jellybeans
Red jellybeans:
= 4 / 15 x 60
= 16 red jellybeans
In conclusion, there are several colors of jellybeans.
Find out more at https://brainly.com/question/14493658.
Every month Michael pays $39.95 for phone service plus $0.10 for every text message over a preset limit. Which equation represents the amount of money Michael pays for phone service each month, y, with x text messages over the limit? what is the equation?
if a+b=34 then what is 4a-8ba+9a
Answer:
12x:12x=1:
1 TRUE
Step-by-step explanation:
does opposites name the same location on a number line.
Answer:
I'm not sure but maybe this will help
Step-by-step explanation:
- 3 and 3 are located on opposite sides of zero. They are the same distance from zero. 3 and -3 are called opposites.
5. The side of a square is (3x - y). What is the perimeter of the square?
a. 12x - 4y
b. 12x -Y
c. 6x-2y
d. 12x + 4y
I need help plzzz
Answer:
A) 12x-4y
Step-by-step explanation:
Since a square has a perimeter of P=4s, then P=4(3x-y)=12x-4y, therefore A is the correct option.
Increase £180 by 12.5%
Answer:
202.50
Step-by-step explanation:
Answer:
£202.50
Step-by-step explanation:
£180 by 12.5 % is £180+ (£180*12.5) which is 202.50.
Hope this helps :D
Hi can someone please tell me what the answer is thanks!
Answer:
B. 6
Step-by-step explanation:
50 times 3/5 = 150/5 = 30
30 times 4/5 = 120/5 = 24
24 times 1/4 = 24/4 = 6
If a van traveled 120 miles in 2 hours, how far could the van travel in 5 hours?
Answer :
The Answer Is 300 Miles In 5 Hours
Answer:
300 miles i think
Step-by-step explanation:
120 times 2.5 bc 2 times 2.5=5
120 times 2.5 is 300
Plssss plsss help!! I can Venmo if that’s how u can help! Thank you!!
Answer:
And for number 10 the answer is (b)
I hope this helps, Happy learning!!!
What is the slope of 3x-2y=7?
Answer:
The slope is -3/2
Step-by-step explanation:
Hope this helped have a good day!