Given Equation Is:
[tex] \: \: [/tex]
[tex] \sf \large \frac{a}{2} + b[/tex][tex] \: \: [/tex]
Now, Put the value of a = -4 and b = -3 in given eqn .
[tex] \: \: [/tex]
[tex] \sf \large \: \frac{ - 4}{2} - 3[/tex][tex] \: \: [/tex]
[tex] \sf \large \cancel \frac{ - 4}{ \: \: 2} - 3[/tex][tex] \: \: [/tex]
[tex] \sf \large \: - 2 - 3[/tex][tex] \: \: [/tex]
[tex] \boxed { \sf \large \color{pink} \: \: \: \: \: \: \: 5 \: \: \: \: \: \: \: }[/tex][tex] \: \: [/tex]
Hope Helps!:)
The solution to the equation takes the form a/2+b, where, a = -4 and b= -3, is 4 or -5 depending on the equation used.
What is the substitution of variables into an equation?The substitution of variables takes a defined pattern. In the given question, we are to replace the following values for a and b. i.e. a = -4 and b = -3 into the equation a/2+b.
So,
If a = - 4;and b = -3Then, using the expression:
[tex]\mathbf{=\dfrac{a}{2+b}}[/tex]
The solution to the equation can be calculated as:
[tex]\mathbf{=\dfrac{-4}{2+(-3)}}[/tex]
[tex]\mathbf{=\dfrac{-4}{-1}}[/tex]
Divide both the numerator and denominator by (-1)
= 4
However, if the equation is [tex]\mathbf{\dfrac{a}{2}+b}[/tex]
The solution to the equation will be as follows:
[tex]\mathbf{\dfrac{-4}{2}+(-3)}[/tex]
= -2 - 3
= -5
Learn more about variables here:
https://brainly.com/question/24751617
#SPJ5
Graph the function y=x3+6x2+2x-11. Based on the graph, what is the largest possible x-value if y=0? Round your answer to the nearest hundredth, if necessary.
1.11
1.9
5.2
13.2
Answer:not sure but I would go with 1.11.11
Step-by-step explanation:
why is " 3 meals a day" a unit rate
Answer:
its a unit rate because it compares 3 meals to 1 day (ex. breakfast, lunch, dinner all = 1 day)
Step-by-step explanation:
.
.
..
.
.
.
...
.
.
.
.
.
.
.
.
.
.
..
.
.
.
.
.
.
.
.
A statue casts a shadow that is 360 meters long. At the same time, a person who is 2 meters tall casts a shadow that is 6 meters long. How tall is the state?
Answer:
1080
Step-by-step explanation:
Given f (x) = 17 minus x squared, what is the average rate of change in f(x) over the interval [1, 5]? –6 Negative one-half One-fourth 1.
The average rate of change in f(x) over (1,5) is -6.
Given function is:
[tex]f(x) =17-x^{2}[/tex]
[tex]f(5) = -8\\\\f(1) = 16[/tex]
What is the average rate of change in a function over an interval?The average rate of change is a measure of how much the function changed per unit, on average, over that interval.
We know that
The average rate of change in f(x) over (a,b) is given by:
The average rate of change = [tex]\frac{f(b)-f(a)}{b-a}[/tex]
So, The average rate of change in f(x) over (1,5) = [tex]\frac{f(5)-f(1)}{5-1}[/tex]
The average rate of change in f(x) over (1,5) = [tex]\frac{-8-16}{5-1}[/tex]
The average rate of change in f(x) over (1,5) = -6.
Therefore, the average rate of change in f(x) over (1,5) is -6.
To get more about the average rate of change visit:
https://brainly.com/question/8728504
Answer:
-6
Step-by-step explanation:
lison had 310 rocks in her rock collection. After three months, her collection increases by 40%. How many rocks does Alison have now?
Answer:
434
Step-by-step explanation:
310 * 1.4 = 434
or if you want to break it up more:
10% of 310 = 31 (to get 10% divide by 10)
to get from 10% to 40% multiply your answer by 4
31 * 4 = 124
so 40% = 124
this means over the three months Allison's rock collection increased by 124.
to get the total amount of rocks Allison has now add the increase to the original value
310 + 124 = 434
PLZ HELP MEEEE!!!!!! IN TEST .....Use slope-intercept form to write the equation of a line that has a slope of −2
and passes through the point (-4, 1)
Answer:
you would end up at (-4,-1)
Step-by-step explanation:
A garden is in the shape of a rectangle, ABCD, and a semicircle.
AD is the diameter of the semicircle.
Carol is going to cover the garden with fertiliser.
A box of fertiliser costs £4.99
Carol has been told that one box of fertiliser will cover 12 m? of garden.
(a) Work out the cost of buying enough fertiliser to cover the garden completely.
Answer:
34.93
Step-by-step explanation:
find area of semicircle=(pi×radius squared)/2=27.7
find area of rectangle=base×height=47.04
74.74=total area
if one box covers 12 how many boxes cover 74.74=6.2283 but you cannot buy .2283 of fertiliser so you round up to 7 boxes
so total cost becomes 7×4.99=34.93
solve pls brainliest
Answer:
15 out of 21 boys brought their lunch to school
Step-by-step explanation:
We need to get the denominator the same!
3/5 x 7 = 21/35
3/7 x 5 = 15/35
15 out of 21 boys brought their lunch to school :)
Please rate and mark brainliest!!
Have an amazing day!!
Answer:
the answer would be 15/21 my friend :) please rate 5 stars and give brainlest.
Step-by-step explanation:
ANYONE GOOD AT MATH NEED HELP
Answer:
*I just learned that in probability if a question has 'and' it means you multiply and if it has 'or' it means you add*
1a) 1/6
There are two numbers greater than four (5 and 6). There are 6 possible numbers you can get, so the fraction would be 2/6, or simplified would be 1/3. There are two options you can get when flipping a coin, so the chance of getting a head is 1/2. This is an 'and' problem so multiply 1/3•1/2 and you get 1/6.
1b) 1/4
There are 3 even numbers (2, 4, and 6), so the probability would be 3/6 or simplified to 1/2. The chance of landing on a tail is also 1/2, as there are two possible options. This is an 'and' problem so multiply 1/2•1/2 and you get 1/4.
2) 1/8
Write out your possible results: HHH, HHT, HTH, THH, HTT, THT, TTH, TTT.
3a) 1/8
There are 4 shirt options to choose from. The chance of picking blue is 1/4. There are 2 pant options. The chance of picking black is 1/2. This is an 'and' problem, so multiply 1/4•1/2 and you get 1/8.
3b) 1/4
There are 4 shirt options to choose from. This is an 'or' problem because he can choose an orange shirt OR a red shirt. The probability of picking an orange shirt is 1/4 and the probability of picking a red shirt is 1/4. 'Or' means you use addition so add 1/4+1/4 and you get 2/4 or simplified is 1/2. There are 2 pant options to choose from, so the probability of choosing brown pants is 1/2. Now, this is an 'and' problem, so multiply 1/2•1/2 and you get 1/4.
Find N' after N(2, 3) was reflected over the line y = x + 2.
Answer:
Step-by-step explanation:
Did u find the answer?
The reflected over the line y=x+2 is A''(-3,-2). Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point, but is on the other side of the line.
What is meant by reflected over the line?Each point of the original figure (the pre-image) has an image that is the same distance from the reflection line as the original point, but is on the other side of the line. This transformation is known as a reflection over line.
A transformational process turns a figure into a reflection. Figures can be reflected in a point, a line, or a plane. When reflecting a figure in a line or a point, the image and preimage coincide. A reflection converts each point of a figure from a point to an image across a fixed line.
From the additional image, you can see that the coordinates of image point A' are after reflection point A about the line y=-x (-3,2).
Next, the coordinates of reflection point A' about the x-axis are (-3,-2).
The complete question is : Find the image of A (-2,3) reflected in the line y= -x and then in the x axis
To learn more about reflected line refer to:
https://brainly.com/question/26642069
#SPJ2
Lia and Sydney are each traveling in a car along the highway. Lia's travel is modeled by a table. Sydney's travel is modeled by a graph.
Did Lia or Sydney travel faster? How do you know?
I need this(im giving 30 points)need it fast plz
Answer:
Lia traveled faster because her distance surpassed Sydney's distance after the first hour.
Step-by-step explanation:
I need help please !!!!!
Answer:
hello
4/14 x 5 /14 = 20/196 = 5 / 49
Step-by-step explanation:
Answer:
it's A. 1/3 because yes it's a
From 1990 to 2000, the population of California can be modeled by P = 29, 816,591(1.0128) where t is the
number of years since 1990.
A. What was the population in 1990?
B. What is the growth factor?
C. What is the annual percent increase?
D. Estimate the population in 2007.
The population is modeled with an exponential equation, and using what we know about exponential equations we will see that:
A) P(0) = 29,816,591B) the growth factor is 1.0128C) 1.28%D) P(17) = 37,013,551.9How to identify the parts of the exponential equation?
Here we have the exponential equation:
P(t) = 29,816,591*(1.0128)^t
A) The population in 1990 will be given by P(0), this is:
P(0) = 29,816,591*(1.0128)^0 = 29,816,591
B) For an exponential:
A*(b)^x
We can rewrite it as:
A*(1 + r)^x
In this case, b is the growth factor, so in our function, the growth factor is 1.0128
C) Using the above notation, the percent increase by year is given by 100% times r, so first let's get the value of r.
r = b - 1 = 1.0128 - 1 = 0.0128
Then the percent increase is: 0.0128*100% = 1.28%
D) The year 2007 comes 17 years after 1990, so we need to evaluate the equation in t = 17, we will get:
P(17) = 29,816,591*(1.0128)^17 = 37,013,551.9
If you want to learn more about exponential equations, you can read:
https://brainly.com/question/11832081
Add 3 to a number and then double the result. If the total is 22, find the number.
Denise drew a diagram of part of a slide at a community playground.The slides ladder forms two angles with the ground.The measurement of one angle is half the measurement of the other.What are the measures of the angle show your work.
Applying the concept of supplementary angles, their measures are of 60º and 120º.
What are supplementary angles?Two angles are called supplementary if the sum of their measures is of 180º.
In this problem, we have that the measurement of one angle is half the measurement of the other, and they are supplementary, hence:
[tex]x + \frac{x}{2} = 180[/tex]
[tex]\frac{3x}{2} = 180[/tex]
3x = 360
x = 120
x/2 = 120/2 = 60º.
The measures of the supplementary angles are of 60º and 120º.
More can be learned about supplementary angles at https://brainly.com/question/12919120
The times of 4 boys in a 4 X 100 metres relay race were:
Arthur 12.5 seconds
Walter 13.0 seconds
Ken 12.4 seconds
Andy 12.02 seconds
Who ran the fastest leg?
9. D(-3, -8), E(1, -2)
Midpoint
The approximate distance between Earth and the Sun is 93,000,000 miles. Write this number in scientific notation. Do not include the units.
Answer:
9.3x107 (if I'm wrong I'm stoopid)
Step-by-step explanation:
PLEASE HELP I WILL GIVE BRAINLEST!!!. How much of the brownies will each person get if there are 3 people and 4 brownies? Use words, pictures, and an equation to explain your thinking.
Answer:
each person will get 3/4 of a brownie
Step-by-step explanation:
If you divide 3 into 4 you get 3/4
[tex]3/4 = \frac{3}{4}[/tex]
Calculate the average of the following numbers: 14, 8, -17, -8, 18?
Answer:
3
Step-by-step explanation:
to calculate the mean of a list, you need to add up all the numbers and divide by the number of numbers
[tex]14+8+(-17)+(-8)+18=15[/tex]
[tex]\frac{15}{5}=3[/tex]
Answer:
3
Step-by-step explanation:
The average is the sum of the given numbers divided by the count (how many numbers you have):
14 + 8 -17 - 8 + 18 15
average = ---------------------------- = ----------- = 3
5 5
Are the ratios 16:8 and 2:1 equivalent?
Thus 16:8 and 2:1 are equivalent.
→ 16:8
divide both by 8
[tex]\rightarrow \sf \dfrac{16}{8} :\dfrac{8 }{8}[/tex]
simplify
→ 2 : 1
Answer:
Yes! Because they are in proportion: 1x8 = 8, 2x8 = 16 therefore, 2:1 and 16:8 are equivalent. Similar to equivalent fractions - you need to multiply both numbers by the same number.
Step-by-step explanation:
If you need further help, feel free to let me know. I noticed you've posted 2 of the same type of questions - is there anything you are confused about?
Find the distance between the points (3, -5) and (6, -5).
Answer:
0 (i think??)
Step-by-step explanation:
use the equation to find the slope:
y2 - y1/ x2 - x1 or y1 - y2/x1 - x2
sooo
(3, -5) (6, -5)
-5 - (-5) / 3 - 6
-5 + 5/ -3
0
Answer:
3
Step-by-step explanation:
The y-values of both points is -5. This means that the line between the points is a horiztonal line. Therefore the distance between the points is simply the difference between the x-values: 6 - 3 = 3
omari bought some magnets and spinners. each magnet cost $2 and each spinner cost $4. he bought 7 more magnets than spinners and spent a total of $104. how many magnets did he buy?
Answer:
22 Magnets
Step-by-step explanation:
Hope this helps! Please let me know if you need more help, or if you think my answer is incorrect. Brainliest would be MUCH appreciated. Have a great day!
BRAINLIEST + 25 PTS FOR CORRECT ANSWER.
Lia gets paid $450 a week plus a
5% commission on her sales. She
hopes to earn at least $600
dollars each week.
a. Write an inequality to
represent the verbal
description.
b. How much does Lia
need in sales to make
her goal?
Answer:
a: 450 + .05c ≥ 600
b: She needs to make $3,000 in sales to reach her goal.
PLz mark brainliest
Please help
Find the indicated side of the triangle
What is a= ?
Answer:
28[tex]\sqrt{2}[/tex]
Step-by-step explanation:
The given is a special right triangle with angle measures : 45-45-90
The side lengths in this special triangle is follows as x[tex]\sqrt{2}[/tex]-x[tex]\sqrt{2}[/tex]-x
x represent the side length that sees the angle measure with 90 and it is given as 28 here so x[tex]\sqrt{2}[/tex] or a in this case is equal to
28[tex]\sqrt{2}[/tex]
Which expression is equivalent to (10x)–3? StartFraction 10 Over x cubed EndFraction StartFraction 1000 Over x cubed EndFraction StartFraction 1 Over 1000 x cubed EndFraction StartFraction 1 Over 10 x cubed EndFraction.
The expression which is equivalent to the provided expression of variable x is,
[tex]\dfrac{1}{1000x^3}[/tex]
What is the equivalent expression?Equivalent expressions are the expression whose result is equal to the original expression, but the way of representation is different.
The given expression in the problem is,
[tex](10x)-3[/tex]
Let the equivalent expression of this expression is f(x). Thus,
[tex]f(x)=(10x)^{-3}[/tex]
The number, with negative power, can be written in the fraction of 1 with the same but positive power or exponent. Therefore,
[tex]f(x)=\dfrac{1}{(10x)^{3}}[/tex]
Solve it further as,
[tex]f(x)=\dfrac{1}{(10)^3(x)^{3}}\\f(x)=\dfrac{1}{1000x^3}[/tex]
Hence, the expression which is equivalent to the provided expression of variable x is,
[tex]\dfrac{1}{1000x^3}[/tex]
Learn more about the equivalent expression here;
https://brainly.com/question/2972832
Answer: C
Step-by-step explanation:
what is the slope in y-1= -2/3x
Answer:
-2/3
Step-by-step explanation:
The slope is the coefficient of the variable x when it comes to graphing. In this equation, relatively no change needs to be made, as the y-intercept is on one side while the slope doesn't need to move.
Answer:
m= - 2/3
Step-by-step explanation:
could i have brainiest answer thankss friend :)
Do the following side lengths form a right triangle?
7,24,25
Answer:
yes
Step-by-step explanation:
They need to park the Mystery Machine. They could either park in the lot that charges $5 and then $2 an hour, or they could park using the meter on the street that charges $3.75 per hour.
Write an equation that describes when the cost is the same at both locations (the parking lot and on the street).
Please, I just need an equation
Answer: 5 + 2x = 3.75x
Step-by-step explanation:
From the question, they could either park in the lot that charges $5 and then $2 an hour, or they could park using the meter on the street that charges $3.75 per hour.
The equation that describes when the cost is the same at both locations goes thus:
Let the number of hours used be x
The equation can then be written as:
$5 + $2x = $3.75x
5 + 2x = 3.75x
Number 2 =D I solved the last 2 so this is my last one
Answer:
Combined Weight Change = -35 lb / 4 total people = Avg weight change per person of -8.75 lb.
Step-by-step explanation: