Select the correct choice that completes the sentence below.
The expression
f(x+h)-f(x)
h
is called the
of f.
Answer:
difference quotient
Step-by-step explanation:
Using the GCF factor the given expression: 21xy + 14y
7(3xy + 2y)
7y(3x + 2)
3(7xy + 14y)
7xy(3 +2)
ASAP
Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
Greatest common factor of an expressionThe greatest common factor is the value that will divide an expression without leaving a remainder.
Given the expression 21xy + 14y
Find the factors
21xy = 7 * 3 * x * y
14y = 7 * 2* y
From the factors above, it is clear that 7 and y are the greatest common factors.
Since 7y is common to both factors, therefore the GCF of the expression is 7y. The factored form will be 7y(3x + 2)
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Factor out
21xy=3×7×y×x14y=2×7×ySo
7y is common hence 7y is GCFNow factor up
7y(3x+2)Option B
15+ 2x = 5 + 3x
what's the answer
Answer:
x = 10
Step-by-step explanation:
rewrite this equation with x on the left and numbers on the right
2x - 3x = 5 - 15
-x = -10
x=10
give brainliest, please!
hope this helps :)
The value of x is x = 10
To solve a first degree equation, first: we add or subtract like terms. Finally, we split the terms of both equalities.
- In this equation, we're going to subtract the like terms -- and on the other side of the equation, we're going to also subtract the real terms.
Resolution15 + 2x = 5 + 3x
2x - 3x = 5 - 10
-1x = -10
x = 10
So, the correct value is x = 10
What is the solution to this system of equations? 2x+y-5z=4 x+3y+z=5 3x-y-4z=-11
For the given linear system equations, the value for the variables are: x=-2, y=4, and z=-5 - Option C.
System of Linear Equations
System of linear equations is the given term math for two or more equations with the same variables. The solution of these equations represents the point at which the lines intersect.
The question gives:
2x+y-5z=4 (1)
x+3y+z=5 (2)
3x-y-4z=-11 (3)
First, you should sum equations 1 and 2. The results will be:
3x+4y-4z=9 then you have a new equation (4).
3x-y-4z=-11 (3)
3x+4y-4z= 9(4)
Now, you should multiply equation (3) by -1, then you will have:
-3x+y+4z=+11 (3)
3x+4y-4z=9 (4)
After that, you should sum the previous equations: (3) and (4).
5y=20
y=4
For find z, you should multiply equation 2 by -2. After that, you should sum equations 1 and 2.
2x+y-5z=4 (1)
-2x-6y-2z=-10 (2)
Thus, you will have:
-5y-7z=-6, like y=4 you have
-5*4-7z=-6
-20-7z=-6
-7z=14
z=-2
If z=-2 and y=4 from equation 2, you can find x.
x+3y+z=5
x+3*4-2=5
x+12-2=5
x+10=5
x=5-10
x=-5
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value of the discriminant for the equation -3x=-x^2+2x
HELP ASAP!!!!! The graph compares temperatures and numbers of cyclists. The equation of the trend line for the scatterplot is y = 4x + 10. Predict the number of cyclists when the temperature is 12°C.
So
Put x ax 12°CHence
y=4(12)+10y=48+10y=58Option A
Answer:
Option A
Step-by-step explanation:
y=4x+10
So
Put x ax 12°C
Hence
y=4(12)+10
y=48+10
y=58
Which conversion factor should be used to convert the 152.5 g to moles?
Answer:
Step-by-step explanation:
You will need to know the gram weight per mole from the periodic table for the element ( or the molecule of elements) in question.
How many right angles are formed by perpendicular lines in spherical geometry?
A.
8
B.
6
C.
2
D.
3
Answer:
8
Step-by-step explanation:
I am good at math
i need help with this question
For each of the descriptions below, create a system of linear inequalities (please help will mark brainliest for whoever answers correctly!)
Answer:
hope you can understand
hope you do well in math and thx for the help
[tex]|\Omega|=12^2=144\\|A|=4^2+3^2+5^2=16+9+25=50\\\\P(A)=\dfrac{50}{144}=\dfrac{25}{72}\approx35\%[/tex]
which inequality is represented by the graph
Answer:
This is your teacher if you do this again, I will contact your parents and you will get in big trouble.
Step-by-step explanation:
Tess has a garden that is 4 1/2 feet wide and 6 3/4 feet long. How many feet of fencing does she need to put around all sides of her garden?
Answer:
11.25
Step-by-step explanation:
6 3/4 + 4 1/2
A ball is thrown into the air with an initial velocity of 80 ft/sec. The height of the ball after t seconds in the air is given by h(t) = -16t? + 80t + 96. When will the ball be at its
highest point? Show all work.
Check the picture below.
[tex]\textit{vertex of a vertical parabola, using coefficients} \\\\ h(t)=\stackrel{\stackrel{a}{\downarrow }}{-16}t^2\stackrel{\stackrel{b}{\downarrow }}{+80}t\stackrel{\stackrel{c}{\downarrow }}{+96} \qquad \qquad \left(-\cfrac{ b}{2 a}~~~~ ,~~~~ c-\cfrac{ b^2}{4 a}\right)[/tex]
[tex]\left(-\cfrac{ 80}{2(-16)}~~~~ ,~~~~ 96-\cfrac{ (80)^2}{4(-16)}\right) \implies \left( - \cfrac{ 80 }{ -32 }~~,~~96 - \cfrac{ 6400 }{ -64 } \right) \\\\\\ \left(\cfrac{5}{2}~~,~~96+100 \right)\implies \stackrel{highest~point}{\stackrel{\qquad ~~ \downarrow }{\left(2\frac{1}{2}~~,~~196 \right)}}[/tex]
Esther gave the storekeeper a twenty dollar bill for a purchase of $14.51. How
much change should she have received?
Answer:
She would have received $5.49 change
Answer:
$5.49 ~$5.50
Explanation: $20 - $15.51 = $5.49 therefore you have to round off which would initially equal to $5.50
A wooden roller is 1 m long and 8 cm in diameter. Find it's mass in grams if 1cm³ of the wood has a mass of 0.7 g
Answer:
1120π grams
==> 3518.58 grams using value of π = 3.14159 or
==> 3520 grams using value of π = 22/7
Step-by-step explanation:
Volume of a cylinder = πr²l where r is the radius of the base and h is the length of cylinder
The diameter of the cylinder, d = 8cm and radius = d/2 = 4cm
Length = 1 meter = 100 cm
Here, volume V = π.4².100 = π x 16 x 100 = 1600π cm³
Since 1 cm³ has a mass of 0.7gm total mass
M = 0.7V = (0.7)1600π =1120π gm
Using the ratio 22/7 for pi we get
M = 1120 x 22/7 = 3520 g
If we use the more accurate value of π as 3.14159 then we get
M = 1120 x 3.14.159 = 3518.58 g which is more accurate
Find the distance between the points (5,0) and (-5,3)
Answer:
10.4
Step-by-step explanation:
√(5--5)²+(0-3)²
√100+9
√109=10.4
PLEASE HELP!!!!!!!!!! I'll NAME BRAINLIEST!!!!!!
Classify the expression by the number of terms.
5y^2-8+6y^4
Answer:
5x2-2x+1 The highest exponent is the 2 so this is a 2nd degree trinomial.
Step-by-step explanation: Also pls answer by question
2 ³✓3 × 3✓2 please answer this fast
[tex]2\sqrt[3]{3} \cdot 3\sqrt 2\\\\=6 \cdot \sqrt[3]{3} \cdot \sqrt 2\\\\=6\cdot 3^{\tfrac 13} \cdot 2^{\tfrac 12}\\\\\approx 12.24[/tex]
⚠️WILL GIVE BRAINLIEST⚠️Which equation represents circle N?
A.
(x + 7)2 + (y − 6)2 = 25
B.
(x − 7)2 + (y + 6)2 = 25
C.
(x + 7)2 + (y − 6)2 = 50
D.
(x − 7)2 + (y + 6)2 = 50
Answer:
your answer is option C
Step-by-step explanation:
hope you can understand
Answer:
The answer is indeed C, (x + 7)2 + (y − 6)2 = 50
Step-by-step explanation:
Got it right on edmentum/plato, the other guy is correct. Give him brainliest!
For the arithmetic sequence beginning with the terms (11, 17, 23, 29, 35), what is the sum of
the first 17 terms?
a.) 1116
b.) 1003
c.) 1235
d.) 896
Option B is the correct answer.
The sum of 17 terms of the given arithmetic sequence is 1003.
What is Arithmetic Sequence?An arithmetic sequence is a sequence where each term increases by adding/subtracting some constant k.
Here, given sequence :
11, 17, 23, 29, 35, ......
first term a = 11
common difference d = 17 - 11 = 6
n = 17
Sₙ = n/2 {2a + (n-1)d}
S₁₇ = 17/2 { 2 X 11 + (17-1)X6}
S₁₇ = 17/2 { 22 + 16 X 6}
S₁₇ = 17/2 X 118
S₁₇ = 17 X 59
S₁₇ = 1003
Thus, the sum of 17 terms of the given arithmetic sequence is 1003.
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Helpppppp asap with this
Answer:
I have no clue, cant lie to you. God Bless you though.
Step-by-step explanation:
A hiking trail is shown as 14cm on a map the scale is 1:150000 how far in km is it in real life.
the scale says that each unit (cm/km/in/...) on the map is 150,000 times that unit so:
14cm on the map
= 150,000×14cm
= 2,100,000 cm
= 2100 km
(= 2.1 Mm)
Find dy/dx of y = sin inverse ( x - 1 ).
[tex] \frac{1}{ \sqrt{1 - {(x - 1)}^{2} } } [/tex]
please help please help
Answer:
angleEAF=angleBAC (शिर्षभिमुख कोण भएर)
10x+90+5x=180 (सरल कोण भएर)
or, 15x+90=180
or, 15x=180-90
or, 15x=90
or, x=90÷15
or, x=4
Answer:
x=6
Step-by-step explanation:
90°+5x+10x=180°
90°+15x=180°
15x=180°-90°
15x=90°
x=90/15
=6
10×6=60
5×6=30
60°+30°=90°
90°+90°=180°
x=6 QED
What is the area of the hexagon below?
What is the surface area of this 3d character based off the illustration. Can you provide explanation. Thank you.
The surface area of this 3d character based off the illustration will be 289.
How to explain the surface area?It should be noted that the surface area simply means the amount of space that covers the outside of a shape.
Here the length of the shape is 17 and the width is also 17 as well. It should be noted that the width and length are determined by looking at the axis of the shapes drawn.
In this case, the area will be:
Length × Width
= 17 × 17
= 289
In conclusion, the surface area is 289.
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Now explore a few more-difficult problems.
Which of the following statements are true for all the
problems?
The first step is always to divide.
○ The last step is always to subtract.
The decimal always moves one place to the right.
The next to last step is always to multiply.
The statement that is true for all the problems is " The last step is always to subtract.". Option B. This is further explained below.
What is Arithmetic?Generally, Arithmetic is simply defined as the area of mathematics concerned with the study and manipulation of numbers and their properties.
In conclusion, "The final step is always to subtract." is the universally true solution to the difficulties.
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Answer: B & D
Step-by-step explanation: I did this assignment.
6. If b>6, then 3b + 3 could be
A. 18
B. 19
C. 20
D. 21
E. 22
Answer:
E. 22
Step-by-step explanation:
Hello!
We know that b>6, and we are asked to find the possible values for 3b + 3.
Let's directly substitute 6 for b:
3(6) + 318 = 321Now, because b is greater than 6, and not equal to 6, any value greater than 21 will work.
The correct option is E. 22.
6 liters of a gas has a pressure of 4 atmospheres. The gas's original pressure was 6 atmospheres.
What was the original volume in liters?
Enter your answer as a decimal to the 10th place, like this: 4.2 l
The original volume of the gas was 9.0 liters.
What is proportion?Proportion is a mathematical expression of quantities in their rate form.
Analysis:
If 6 liters of the gas has a pressure of 4 atmosphere.
Then 1 atmosphere of the gas is 6/4 liters
Therefore 6 atmospheres = 6/4 x 6 = 9.0 liters
In conclusion, the Original volume of the gas was 9.0 liters
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