Answer:
The rate of change of a linear function = 5/4
Step-by-step explanation:
Given that a linear function includes the points (2, 3) and (6, 8).
So we have the points
(2, 3)(6, 8)We know that the rate of change of a function is also termed as the slope of the function.
In other words, the slope of the linear function gives us the rate of change of the linear function.
Thus,
Determining the rate of change or slope between (2, 3) and (6, 8)
(x₁, y₁) = (2, 3) (x₂, y₂) = (6, 8)Using the formula
Rate of change = Slope = [y₂ - y₁] / [x₂ - x₁]
= [8 - 3 / [6 - 2]
= 5 / 4
Thus, the rate of change of a linear function = 5/4
the length of the hypotenus of a certain right triangle is 50 inches and the length of its legs is 40 inches . what is the length in inches of the other leg of the triangle
Answer:
The length of the other leg of the triangle is 30 inches.
Step-by-step explanation:
Pythagorean: a^2+b^2=c^2
50=hypotenuse
50^2-40^2=missing leg
50^2=2500
40^2=1600
50^2-40^2=900
[tex]\sqrt{900}[/tex]=30
30 is missing leg
The length of the other leg of the triangle is; 30 inches.
What is the right triangle?A right-angle triangle is a triangle that has a side opposite to the right angle the largest side and is referred to as the hypotenuse. The angle of a right angle is always 90 degrees.
We have been given that the length of the hypotenuse of a certain right triangle is 50 inches and the length of its legs is 40 inches.
Using Pythagorean:
[tex]a^2+b^2=c^2[/tex]
50 = hypotenuse
Let the missing length is x.
x² = 50^2-40^2
x² = 2500 - 1600
x² = 900
x =30
Hence, the length in inches of the other leg of the triangle is 30.
Learn more about a right angle;
https://brainly.com/question/7116550
#SPJ2
A tree is broken at a height of 35 m from the ground and its top touches the ground at a distance of 12 m from the base of the tree. If the tree is at right angles to the ground, find the original height of the tree.
10 points. Please help!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! I will report fake, incomplete, and wrong answer! Answer wisely will clear explanation!!
Answer:
The answer (in scientific notation) should be 1.8 x 10^2.
Step-by-step explanation:
(2 x 10^6) x (0.00009) = ?
(2 x 1,000,000) x (0.00009) = ?
2,000,000 x (0.00009) = 180
180 as a scientific notation is 1.8 x 10^2.
Which of the following values for x is true for 4x > 10?
3
O x=
4
O x = 2
O x = 2.5
OX= 3
3.5s + 5.1s simplified
Answer:
\[v(t)=\underset{\text{Δ}t\to 0}{\text{lim}}\frac{x(t+\text{Δ}t)-x(t)}{\text{Δ}t}=\frac{dx(t)}{dt}.\]
Step-by-step explanation:
What is the answer?? Please
9514 1404 393
Answer:
not similar
Step-by-step explanation:
"Triangle" DPS cannot exist. Sides DP and DS are not long enough.
__
Side ratios are not the same. In the top triangle, the length ratios are ...
14 : 16 : 19
In the bottom triangle, the length ratios are ...
7 : 8 : 19 (such a triangle cannot exist)
Since the ratios are not the same, the triangles are not similar.
Which set of ordered pairs represents y as a function of x?
A. {(2, 5), (3, 1), (4, 1), (4, 7)}
B. {(3, 2), (4, 3), (3, 2), (2, 6)}
C. {(1, 3), (3, 5), (2, 5), (1, 6)}
D. {(6, 7), (4, 6), (-4, 4), (5, 1)}
Answer:
D
No repeated x values
please help me s+5s=
Answer:
s+5s=6s
Step-by-step explanation:
not sure if im right but hope this helps
Answer:
6s
Step-by-step explanation:
s+5s = 1s + 5s = 6s
While back-to-school shopping, you find two pairs of jeans that cost $29 each, three shirts that cost $16 each, and a pair of shoes for $21. What is the total cost of these items, if the store is offering a 30% discount?
Answer:
$88.9
Step-by-step explanation:
First, you have to calculate the total cost of the items by adding up the results of multiplying the price of each item for its quantity:
Total cost=(29*2)+(16*3)+21
Total cost=58+48+21
Total cost=127
Now, you have to calculate 30% of that total and subtract that amount from the total cost:
127*30%=$38.1
127-38.1=$88.9
According to this, the answer is that the total cost of these items is $88.9 if the store is offering a 30% discount.
Find the perimeter of the triangle
Answer:
8 feet
Step-by-step explanation:
hope it helps! :)
Answer:
8 feet
Step-by-step explanation:
When calculating mixed numbers, I like to make all the numbers to improper fractions with the same denominators first before evaluating.
Perimeter of triangle = 2[tex]\frac{3}{8}[/tex] + 2[tex]\frac{3}{8}[/tex] + 3[tex]\frac{1}{4}[/tex]
= [tex]\frac{19}{8}[/tex] + [tex]\frac{19}{8}[/tex] + [tex]\frac{13}{4}[/tex]
= [tex]\frac{19}{8}[/tex] + [tex]\frac{19}{8}[/tex] + [tex]\frac{26}{8}[/tex]
= [tex]\frac{64}{8}[/tex]
= 8 feet
for what value of the variable is the value of the expression -3(2x+1) is 20 greater than the expression 8x+5
Answer:
- 3 ( 2x+1 ) 20
8x+5
_____________
8x+5×20 -3 ( 2×12.5+1 )
8×=100 -3 ( 25+1 )
100÷8= 12.5 -3 ( 26 )
×= 12.5
-3 ( 26 )
-3×2 + -3×6 = -6+ -18 = -24
-24
Consider solving 푥2+12푥+5=0by completing the square. What number should be added to both sides of the equation? 푥2+12푥+_____=−5+_____a. -36b. 36c. 16d. -16
Answer:
B. 36
Step-by-step explanation:
The equation in question is not well written. Let the equation be;
x²+12x+5 = 0
In order to know what number should be added to both sides of the equation, we will take the square of the half of coefficient of x as shown;
Coefficient of x = 12
Half of 12 = 1/2(12) = 6
Square of 6 = 6² = 36
Hence the required number to add to both sides of the equation by completing the square method is 36
Please help me on this
9514 1404 393
Answer:
number of cups purchasedtotal monthly costtotal monthly costnumber of cups purchasedM(x) = 2x +15M(13) = 4113 cups purchased in a monthhave a total monthly cost of $41Step-by-step explanation:
When you have a wording that matches ...
A depends on B
It means that A is the dependent variable, and B is the independent variable.
Here, the total monthly cost depends on the number of cups purchased.
That statement tells you that "total monthly cost" is the dependent variable, and "number of cups purchased" is the independent variable (x).
The first four (4) blanks you're to fill represent two different ways of saying this same thing.
__
The equation is a mathematical expression of the way the costs add up.
total monthly cost = (program cost) + (per-cup cost) × (number of cups)
M(x) = 15 + 2x
Then M(13) is ...
M(13) = 15 + 2·13 = 15 +26 = 41
So the total monthly cost for the purchase of 13 cups of coffee is $41.
. What number replaces ☺ to make the sentence true? 1 + 3 + 4 + 6 + 6 + 8 + 9 + 11 = 4 × ☺.
Answer:
12
Step-by-step explanation:
1+3+4+6+6+8+9+11=48. Knowing this, we can now figure out the other side of the equation. To make both equations true, both sides must equal 48.
To this, simply divide 48 by 4.
48/4=12
Thus, your answer is 12
Answer: 12
Step-by-step explanation:
1+3+4+6+6+8+9+11 is 48 (you can double check)
48=4*X (calling x as the smiley).
Divide 4 by each side.
12=X
can somebody help me??
Answer: two solutions and
Step-by-step explanation:
What is the slope of this line
I really need to finish this can somebody help
Simplify each expression using the distributive property and/or combining like terms
2x+3y+6+7y
Answer:
2(x+5y+3)
Step-by-step explanation:
first you collect the like terms 2x+3y+6+7y.
Answer:
2(x+5y+3)
Step-by-step explanation:
i did it
what are the steps to solving
2x−1(5−3x)=4x+2
Answering:
Step-by-step explanation:
How to solve your question
Your question is
2
Answer:
The answer is above :)
Step-by-step explanation:
Hope i helped
b)
Work out the size of one interior angle.
NEED HELP WITH B
thanks everyone
If f(x) = x ^ 2 - 2 and g(x)=x-3 what is (f o g)
Answer:
(f•g)(x) x² +7MARK ME AS BRAINLY#Carry On Learningwhich numbers for b would make √b irrational
mark as brilliant!
Answer:
All of the options when substituted for b will make the root of b irrational
Step-by-step explanation:
Mathematically, surds are roots of non-perfect squares and they are tagged as irrational numbers
For b to be irrational, all of the numbers given would fit. This is because all of these numbers are non-perfect squares meaning they do not have square root.
So what this mean is that these numbers when put under the root umbrella are irrational numbers as they are not perfect squares
13. Which equation has real, rational, and unequal roots?
A) x2 + 10x + 25 = 0 B) 22 – 5x + 4 = 0
C) x2 – 3x +1=0 D) 22 – 2x + 5 = 0
Help
Answer:
is it 1 question or about four questions
Please help with these questions there due today.
WHAT IS O/O PLS ANSWER
Answer:
Its 0
Step-by-step explanation:ur not smart if u dont know that
Caleb rides his horse with a constant speed of 10 miles per hour. How long will he take to travel a distance of 15 miles?
Answer:
1 hour and 30 minutes
Step-by-step explanation:
Answer:
1 hour and 30 minutes
Step-by-step explanation:
15 is 10+1/210 1/2 is also known as 1515 miles at a constant of 10 miles per hour then equals 1 hour and a half 1 hour and 30 minutesWhat is one of the values for "X" that satisfy the equation x^2 - 7x - 18 ? A.-9 B. no solutions C.9 D.2
Answer:
i think c
Step-by-step explanation:
Help me please 9w+4= 2w+32
Answer:
w=4
Step-by-step explanation:
9w+4=2w+32
-2w -2w
7w+4=32
-4 -4
7w=28
w=4
Answer:
w = 4
Step-by-step explanation:
How to solve...
You have your equation 9w + 4 = 2w + 32, now you take 4 and subtract on both sides, so you will subtract it to 4 and 32. You get 28 as your answer. Now leave that alone, next you will take 2w and subtract it on both sides, when you subtract 2w to 9w you will get 7w. Now just do 28 divided by 7, which is 4. So w = 4. Hope this helps!
9w + 4 = 2w + 32
- 4 = - 4
--------------------------
9w = 2w + 28
-2w = -2w + 28
---------------------------
7w = 28
7w = 7w
---------------------------
w = 4
Ocean water freezes at about -2 1/2 so silly fresh water freezes at zero anti-freeze a liquid used in radiators of cars freeze at -64 imagine if the temperature has dropped to the freezing point for ocean water how many degrees more most the temperature Drop for the anti-freeze to turn solid
Answer:
Temperature needs to drop by 61.5°
Step-by-step explanation:
Given that:
Freezing temperature of ocean water = - 2.5
Freezing temperature of fresh water = 0
Freezing temperature = anti-freeze = - 64
If temperature has dropped to freezing point for ocean water, then current temperature = - 2.5
How many more degrees must the temperature drop for temperature to turn solid :
Freezing temperature of anti-freeze - current temperature
-64 - (-2.5)
-64 + 2.5
-61.5
-61.5(the temperature needs to drop by 61.5°)
help me please !!!!!