Answer:
2x + h
Step-by-step explanation:
[tex]\frac{f(x+h)-f(x)}{h}[/tex]
= [tex]\frac{(x+h)^2+38-(x^2+38)}{h}[/tex]
= [tex]\frac{x^2+2hx+h^2+38-x^2-38}{h}[/tex]
= [tex]\frac{2hx+h^2}{h}[/tex]
= [tex]\frac{h(2x+h)}{h}[/tex] ← cancel h on numerator/ denominator
= 2x + h
I just need to know how to solve this question.
Answer:
x = 62
Step-by-step explanation:
x and 118 form a linear pair (added up, they both equal 180 degrees)
So, 180-118 = 62 which is the measurement of x
#4 (Show your work)
Pablo worked 3 jobs last summer. Pablo made $767.56 kifeguarding. $598.99 mowing lawns, and $643.33 house-sitting. How much money did Pablo earn doring summer?
Answer:
$2009.88
Step-by-step explanation:
767.56+598.99+643.33 = $2009.88
what is 110/12- 28/12 as an improper fraction
Answer:
82/12
Step-by-step explanation:
Headlights must be used from:
-Sunset to sunrise.
Answer:
Step-by-step explanation:
ok
Write an inequality equation: Lyla has $100 in her bank account. She wants to buy presents that are $5 each. Wrapping paper will cost her $25. How many presents can she buy?
what are the possible roots for:
f(x)=x^ 4 +2x^ 3 +8x^ 2 +80x- 128
trust my answer like it
A train traveling at a constant speed covers 320 miles in 4 hours. What equation can be used to model the distance, d miles, the train travels in time, t hours? (Open response)
Answer:
80d:1t
Step-by-step explanation:
320mi:4h
80mi:1h
80d:1t
Every hour the train travels 80 miles
Answer: d = 80t
Step-by-step explanation:
320 miles / 4 hours = 80 mph
distance = rate * time
What is the area of the figure?
Answer:
So the answer would be 21 because the side is longer than 12 but not longer than 21
angle A coincides with angle E
Answer:
Nah fam its the other way round.... bru h whats ur question
Step-by-step explanation:
Answer:
It coincides by both being congruent
Step-by-step explanation:
The land area of Connecticut is about 12,549,000,000 square meters. The land area
of Rhode Island is about 2,707,000,000 square meters. How many times greater is the land area of Connecticut than the land area of Rhode Island?
Answer:
4.636
Step-by-step explanation:
The ratio is the same when it is written in terms of billions of square meters:
CT/RI = 12.549/2.707 ≈ 4.636
The area of CT is about 4.636 times as large as the area of RI.
The formula that relates the length of a ladder, L, that leans against a wall with distance d from the base of the wall and the height h that the ladder reaches up the wall is L = StartRoot d squared h squared EndRoot. What height on the wall will a 15-foot ladder reach if it is placed 3. 5 feet from the base of a wall?.
The height on the wall a 15-foot ladder will reach if it is placed 3. 5 feet from the base of a wall is 14.6 feet.
Using Pythagoras theorem,
c² = a² + b²
where
c = hypotenuse
a and b are the other two legs
The ladder length represent the hypotenuse sides
The distance of the ladder to the base of the wall is one of the leg.
The height on the wall the 15 ft ladder reach is the other leg
Therefore,
a² = 15² - 3.5²
a² = 225 - 12.25
a = √212.75
a = 14.5859521458
a ≈ 14.6 feet
learn more on Pythagoras theorem: https://brainly.com/question/13734303?referrer=searchResults
Answer:
C
Step-by-step explanation:
just took the test trust cuties
Please help me with this and explain please!
[tex]\text{Given that,}\\\\ (x_1,y_1) = (-7,-4) ~~ \text{and slope}~ m = 3\\\\\text{Equation with given points,}\\\\y-y_1 = m(x-x_1)\\\\\implies y +4 = 3(x+7)~~~~~;[\text{Point-slope form.}]\\\\\implies y = 3x +21 -4\\\\\implies y = 3x +17~~~~~~~~~~~;[\text{Slope-intercept form.}]\\\\\text{Hence the answers are A and F.}[/tex]
What is the value of x in the equation 8x – 2y = 48, when y = 4?
Answer:
x = 7
Step-by-step explanation:
Substitute y = 4 into the equation and solve for x
8x - 2(4) = 48
8x - 8 = 48 ( add 8 to both sides )
8x = 56 ( divide both sides by 8 )
x = 7
Answer:
x = 7
Step-by-step explanation:
8x - 2y = 48
y = 4
First, let's substitute y for it's actual value as we know it.
8x - 8 = 48
Next, add 8 on both sides. (When doing these sort of questions you must do the inverse.)
8x = 56
Divide both sides by 8 to get x.
x = 7
Hope this helps and I hope you have a good day!:)
I really need help!!
Answer:
Red: y=4
Green: x=-1
Yellow: x=6
Blue: x=-2
Step-by-step explanation:
The lines are all passing through the Axis, so there is no slope for each line.
1 1/3 x 5 Multiply and answer with a mixed number in the simplest form.
Answer:
The answer is 55/3
Step-by-step explanation:
11 should be divided by 3 and 5 should be multiplied later..
If s(x)=x-7 and t(x)=4x^2-x+3, which expression is equivalent to (t x s) (x)
Solve 54=y−14. i need help anything helps.
Answer:
y=68
Step-by-step explanation:
isolate the variable by adding 14 to both sides
54+14=y+14-14
68=y
65,754.59 round it to the nearest tenth
Answer:
65,754.6
Step-by-step explanation:
When rounding, the last digit is number you need to observe. If the digit is less than 5 (4,3,2,1), then round down. If it is 5 or greater, then round up.
Here are yesterday's high temperatures (in Fahrenheit) in 12 U.S. cities.
48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80
Notice that the temperatures are ordered from least to greatest.
Give the five-number summary and the interquartile range for the data set.
The five-number summary of the data set given is:
Minimum = 48First Quartile (Q1) = 54Median = 69Third Quartile (Q3) = 76Maximum = 80What is the five-number summary?The five-number summary can be defined as a set of descriptive statistics that gives you an idea how your data looks like.
The five-number summary include the following:
Minimum, which is the lowest data value.First Quartile (Q1), which is the middle data value of the first half of the data set.Median, which is the middle data value of the data set.Third Quartile (Q3), which is the middle data value of the second half of the data set.Maximum, which is the lowest data value.What is the Interquartile range?The interquartile range is a measure of the spread of a data set, which is: IQR = Q3 - Q1
Given the data set, 48, 50, 54, 54, 62, 68, 70, 72, 75, 77, 78, 80:
Minimum = 48
First Quartile (Q1) = (54 + 54)/2 = 54
Median = (68 + 70)/2 = 69
Third Quartile (Q3) = (75 + 77)/2 = 76
Maximum = 80
Learn more about the five-number summary on:
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what is the simple definition of standard form
Answer:A standard form is a form of writing a given mathematical concept like an equation, number, or an expression in a form that follows certain rules. Representing very large or very small numbers concisely, the standard form is used. For example, 4.5 billion years is written as 4,500,000,000 years.
Step-by-step explanation:
Who wants to help with a math discussion?
The distance between two points, a and b, on a number line is expressed as
|a – b|, where a and b are rational numbers. Think about locating a point halfway between a and b on a number line. How can you find the coordinate for such a point? Develop a formula in terms of a and b that you can use to find the coordinate. Your formula must work for positive and negative values of a and b. Does absolute value play a role in your formula? Why or why not? Under what circumstances might your formula be used in the real world? Explain.
Discuss how you can find the coordinate of a point located other fractional distances from a to b (or from b to a). For example, locate a point three-fourths of the distance from a to b. What kind of calculation is involved?
The distance between two points is the number of units between them.
Halfway points (a) and (b)
To locate a point halfway points (a) and (b), we use the following steps
Calculate the absolute difference between both pointsDivide the absolute difference by 2Add the quotient to the smaller point.Assume the smaller value is (a), the point (P) halfway points (a) and (b) would be
[tex]P = a + \frac{|a - b|}{2}[/tex]
Take for instance, a = 5, and b = 10.
The halfway point would be:
[tex]P = 5 + \frac{|5 - 10|}{2}[/tex]
[tex]P = 5 + \frac{5}{2}[/tex]
[tex]P = 5 + 2.5[/tex]
[tex]P = 7.5[/tex]
The halfway point between 5 and 10 is 7.5
The formula works for negative values, and absolute values are used to return the actual difference between both points
Real world circumstance
The formula can be used to calculate the halfway distance between a school gate and the school library (as an instance)
Fractional distance
To determine the fractional distance, we simply replace the 1/2 in the original formula with the appropriate fraction.
Take for instance, three-fourths from (a) to (b) would be:
[tex]P = a + \frac{3|a - b|}{4}[/tex]
Read more about distance at:
https://brainly.com/question/9935574
Lillian invests money in an account paying a simple interest of 6.6% per year. If she invests $160 and no money will be added or removed from the investment, how much will she have in one year, in dollars and cents?
Answer:
Lillian will have $170.56 in one year
Step-by-step explanation:
First we have to figure out what is 6.6% of 160.
160 * 6.6% = 10.56
Now we just add 160 with the 6.6% to figure out the answer.
160 + 10.56 = 170.56
So, the answer is 170.56 dollars.
Hope this helps! :)
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which integer represents 8°c below 0?immersive reader (1 point)
Answer: -8
Step-by-step explanation: negative numbers are below zero in this case its 8 below zero which the keyword is below which means less than negative integers are less than zero so its -8
Help please, I could not figure this problem because the answer was -108 but I only solved it to -244. The problem is “Find coefficient of x in expansion of (x-3)^4”
Answer:
You already know the answer is -108
Step-by-step explanation:
There is probably a formula for finding the coefficient of a variable in an expansion. But (x-3) is easy to square, and that gives us
x^2 - 6x +9
Now to square that quadratic trinomial I used an area model. You can get the entire expansion. But we are just only interested in the x terms. See image. They are in yellow on the image. You can see we get -54x two times. So
-54x + -54x is the -108x term you are interested in.
find the sum of that amount to RS 9144 in 3 years at 9%per year simple interest
ANSWER:
4937.76
Step-by-step explanation:
I=PRT
I=9144*0.09*9
I=4937.76
there are 63 counters in total. the total number of counters in box A and box B is 36. the difference between box A and C is 10. work out the number of counters in each box
Answer:
A 17, B 19, C 27
Step-by-step explanation:
A + B = 36
A + B + C = 63
63 - 36 = 27, which is C
C - A = 10
27 - A = 10
A = 17
A + B + C = 63
17 + B + 27 = 63
63 - 44 = 19
pls help!!!!!!! its applications in pre calc
The total weight W of such a plane is equal to
W = w + gf
where
w = weight of plane without fuel
g = number of gallons of fuel
f = weight of 1 gallon of fuel.
When carrying g = 10 gallons, the total weight is W = 1955, so
1955 = w + 10f
When carrying g = 42 gallons, the weight is W = 2131, so
2131 = w + 42f
We want to find W when g = 52, and to do this we first need to find the weight of the plane w and the weight of 1 gallon of fuel f.
Solve the system of equations,
w + 10f = 1955
w + 42f = 2131
We can combine the equations like so to eliminate w and solve for f :
(w + 42f) - (w + 10f) = 2131 - 1955
32f = 176
f = 11/2 = 5.5
Then solving for w, we get
w + 10 (5.5) = 1955
w + 55 = 1955
w = 1900
So, when the plane carries g = 52 gallons of fuel, the total weight is
W = 1900 + 52 (5.5) = 2186
Consider the function f (x) = -2/3x +5.
What is f (5/2)?
Enter your answer, as a simplified fraction, in the box.
f (5/2)
Answer: 2.5
Step-by-step explanation:
Help me with this pleassssseeeedeeeeeeee..
I need help with this Graph!
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary). (-6,3) and (3, -9)
find leg number 1 and leg number 2 and the distance
Answer:
Step-by-step explanation:
The distance between two points (-6, 3) and (3, -9) is 10.81 units.
We have a graph a right triangle with the two points A(-6,3) and B(3, -9) forming the hypotenuse.
We have find the distance between the two points using only the sides of the right triangle.
What is the formula to find the distance between the two points on Cartesian plane ?The distance between two points -
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
According to the question, we have -
Coordinates of Point A = (- 6, 3)
Coordinates of Point C = (3, -9)
Now -
Coordinates of Point B will be (- 6, -9) [formed by the intersection of sides].
Distance AB -[tex]AB = \sqrt {\left( {-6 - (-6) } \right)^2 + \left( {3 - (-9 } \right)^2 }[/tex] = 6 units
Distance BC -[tex]BC = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {-9 - (-9 } \right)^2 }[/tex] = 9 units
Using the Pythagoras theorem -
[tex](AC)^{2} =(AB)^{2} +(BC)^{2}[/tex]
[tex](AC)^{2} =[/tex] 36 + 81
AC = [tex]\sqrt{117}[/tex] = 10.81
Hence, the distance between two points (-6, 3) and (3, -9) is 10.81 units.
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