How many solutions does the equation have? 3(7x + 4 ) - 2x + 8 = 5x + 12
Answer:
One solution
Step-by-step explanation:
Well, let's find out by solving the equation for x and seeing how many possible values there are. Our answer could be no solution, one solution, or infinite solutions. So, let's get started by writing out our equation:
3(7x + 4 ) - 2x + 8 = 5x + 12
First, we'll distribute the 3 onto the values on the left:
3(7x) + 3(4) - 2x + 8 = 5x + 12
21x + 12 - 2x + 8 = 5x + 12
Now, we can combine like terms. They are underlined and boldfaced below:
21x + 12 - 2x + 8 = 5x + 12
21x - 2x + 12 + 8 = 5x + 12
19x + 20 = 5x + 12
Next, let's take away 5x from both sides:
19x - 5x + 20 = 5x - 5x + 12
14x + 20 = 12
Finally, we'll subtract 20 from both sides:
14x + 20 - 20 = 12 - 20
14x = -8
Now, all we have to do is divide both sides by 14.
14x/4 = -8/14
x = -4/7
It looks like there is only one solution for x: -4/7. Hopefully that's helpful!
solve pls brainliest
Answer:
24 m^2
Step-by-step explanation:
To find the area of the cement, we subtract the area of the grass from the total area of the grass and cement.
Total area: 6 × 5 = 30Grass area: 3 × 2 = 630 - 6 = 24Therefore, the answer is 24 m^2.
Step-by-step explanation:
area of the whole backyard(6 mltiplied by 5=30)_area of grass(2 multiplied by 3 =6)
30_6=24
the answer is 24 square meters
Four points are P(0,4), Q(0,3), R(2,0), S(0,5). Which three of them are collinear?
In other words, everything but point R.
============================================================
Explanation:
The term "collinear" means "points that fall on the same straight line". Any two points are always guaranteed to be collinear; however the same can't be said for any 3 random points.
In this case, points P, Q and S are all on the vertical y axis which is why they are collinear.
The graph is shown below.
Which postulate would prove the two triangle congruent?
Answer:
SSS
Step-by-step explanation:
The two triangles share DT so they must be congruent
1/7 rounded to the nearest thousand
Josh purchased a DVD for $10.80, before taxes. The price was after a 25% discount. What was the original price of the DVD?
Answer:
$
2.70
Step-by-step explanation:
what is the slope of (10,8) and (1,9)
Answer:
1/-9 or -0.111(repeating)
Step-by-step explanation:
Answer:
(1,9)
Over to the right one. then up nine of a graph
Kipton puts one marshmallow on the scale and it weighs 7.2 grams. How much would 10 marshmallows weigh?
Answer:
72 grams
Step-by-step explanation:
7.2 x 10 = 72
Identify what Number property is shown for each statement
1. Commutative property of multiplication
3. Associative property of Addition
4.Associative property of multiplication
5. Symmetric property
6. Reflexive property
7. Transitive property
8. Zero property of multiplication
9. multiplicative inverse
10. Zero property of multiplication
11. Additive identity
12. Multiplicative identity
A. 21=21
B. If k=15 and 5 = 3m. Then k = 3m
C. 7+4=4+7
D. 9x0=0
E. 4+0=4
F. (5x3)x4=5x(3x4)
G. 10x3=3x10
H. 19x1=19
I. 8x1/2=1
J. If 11 = y then y = 11
K. (6+2) + 1 = 6 + 2 + 1
L. 2+(2-)=0
1. Commutative property of multiplication = G. 10x3=3x10
3. Associative property of Addition = K. (6+2) + 1 = 6 + (2 + 1)
4. Associative property of multiplication = F. (5x3)x4=5x(3x4)
5. Symmetric property = J. If 11 = y then y = 11
6. Reflexive property = A. 21=21
7. Transitive property = B. If k=15 and 5 = 3m. Then k = 3m
8. Zero property of multiplication = D. 9x0=0
9. multiplicative inverse = I. 8x1/2=1
10. Zero property of multiplication = L. 2+(2-)=0
11. Additive identity = E. 4+0=4
12. Multiplicative identity = H. 19x1=19
Hope this helps!
Answer:
Step-by-step explanation:
G. 10x3=3x10 1. Commutative property of multiplication
3. Associative property of Addition
F. (5x3)x4=5x(3x4) 4.Associative property of multiplication
J. If 11 = y then y = 11 5. Symmetric property
A. 21=21 6. Reflexive property
7. Transitive property
8. Zero property of multiplication
9. multiplicative inverse
D. 9x0=0 10. Zero property of multiplication
E. 4+0=4 11. Additive identity
H. 19x1=19 12. Multiplicative identity
B. If k=15 and 5 = 3m. Then k = 3m This statement is not true.
This may be the transitive property, but this was written incorrectly. You have 15 in k = 15, but 5 in 5 = 3m.
C. 7+4=4+7 This is commutative property of addition, which is not listed above
I. 8x1/2=1 This statement is false. Maybe you meant 8 x 1/8 = 1. Then it is 9. Multiplicative inverse.
K. (6+2) + 1 = 6 + 2 + 1 This does not illustrate anything.
Maybe you missed the parentheses on the right side: 6 + (2 + 1). Then it is the associative property of addition.
L. 2+(2-)=0 If this were 2 + (-2) = 0, then it would be Additive Inverse, but I don't see this listed above.
NEED HELP ON THIS QUICKLY!!!!!!!
1. Write an exponential function to represent the spread of Carter's social media post.
2. Graph each function using at least three points for each curve. All graphs should be placed together on the same coordinate plane, so be sure to label each curve. You may graph your equation by hand on a piece of paper and scan your work, or you may use graphing technology.
3. Using the functions for each student, predict how many shares each student's post will be received on Day 3 and then on Day 10. Justify your answers.
4. If Amber decides to mail copies of her photo to the 45 residents of her grandmother's assisted living facility, the new function representing her photo shares is f(x) = 3(4)x + 45. How does this graph compare with the original graph of Amber's photo share?
5. Based on your results, which students' post travels the fastest? How is this shown in the equation form of the functions?
6. If you had to choose, would you prefer a post with fewer friends initially but more shares, like Amber, or more friends initially but fewer shares? Justify your answer with your calculations from previous questions.
BELOW IS A SCREENSHOT OF THE GRAPH OF THEIR RESULTS
Answer:
Step-by-step explanation:
1. f(x)=10*(2)^x
2. Attached
3. Attached
4. Use DESMOS to make this change in Amber's graph, using f(x) = 3(4)x + 45.
5. Amber grows the quickest. The starting base, 4, is greater than the others (f(x)=3*(4)^x).
6. I'd prefer more friends initially, even with fewer shares.
100 students are interviewed to see which of biology, chemistry or physics they prefer.
41 of the students are girls. 32 of the girls like biology best.
24 of the boys prefer physics.
6 out of the 25 who prefer chemistry are girls.
What percentage of the students prefer biology?
Answer:
48% of students prefer biology
Step-by-step explanation:
Greg builds a pond which is volume 7.35m. it is 4.2m long.What is the width of the pond?
Answer:1.75m
Step-by-step explanation:
Can someone help me with this please
Answer:
2vx
20ce
30a^2
30xw^2
42m^3n^2
24a^2c^2x^3
7n
8x
6wx
3ac^2
6wx^2
6a^2c
instead of writing ^2/^3 (which means to the power of 2/3), use symbol input which it tells you in the question
3x - 1 = 4x - 10 solve for x
Answer:
3x - 1 = 4x - 10
-1 = x - 10
9 = x
Step-by-step explanation:
10-1=4x-3x
9=X
this is the answer with steps
HELP ASAP!!!
What are the zeroes of f(x) = x2 − 6x + 8?
x = −4, 2
x = −4, −2
x = 4, 2
x = 4, −2
Answer:
×=2 is the right answer
and ×= -4 also
Kayla wants to create a right triangle with side lengths 16 millimeters, 30 millimeters, and 34 millimeters. Is this possible? Why or why not?
A- no, because 16+30 is not equal to 34
B- no, because 16 squared + 30 squared is not equal to 34 squared
C- yes, because 16 squared +30 squared is equal to 34 squared
D- yes, because 16+30 is greater than 34
Answer:
C
Step-by-step explanation:
16² = 256
30² = 900
256 + 900 = 1156
34² = 1156
Answer: C
Answer:
B: No, because 16 squared plus 30 squared is not equal to 34 squared
Step-by-step explanation:
So if she wants to make a right triangle that would look like this
| \
| \
30mm | \ 34mm
| \
|_______\
16mm
Which would make the Pythagorean theorem look like this
16^2 + 30^2 = 34^2
265 + 900 = 1156
1165 = 1156
So you answer would be B
plz help will mark as brainliest
Answer:
so the answer is = 210 beacuse u have multiply 5 times 6 times 7
Step-by-step explanation:
So, the area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle. Example: Find the area of the triangle. The area A of a triangle is given by the formula A=12bh where b is the base and h is the height of the triangle.
What is the interquartile range of the lengths of bananas?
Answer:
I couldn't decipher your question heres a graph for https://www.ncbi.nlm.nih.gov/pmc/articles/PMC7984252/
that contains quartile ranges of stored bananas
Step-by-step explanation:
If this doesn't help please correct your question or tell me more so I can better help you
Need help will give five starst and a thanks and MAYBE just MAYBE a brainleist.
Explain how to use the GCF and the distributive property to rewrite and solve subtraction problems.
Answer:
here u go
Step-by-step explanation:
Suppose that the function g is defined, for all real numbers, as follows.
find g(-3) ,g(-1), g(1)
Answer:
5/2
Step-by-step explanation:
g(-3) falls under x<=-1 so substitute -3 on x
-1/2(-3)+1
3/2+1
5/2
At the end of June, the rainfall for the year, so far, was 9.9 inches above normal. During the second half of the year, it rained 3.38 inches below normal. What amount of rainfall fell above or below normal for the entire year! Pls hurry! Will mark brainliest.
Answer:the 3.38 answer
Step-by-step explanation:
Given: x - 5 > -2.
Choose the solution set.
{x | x R, x > 3}
{x | x R, x > -3}
{x | x R, x > -7}
{x | x R, x > 7}
Answer:
{x | x R, x > 3}
Step-by-step explanation:
x - 5 > -2
Add 5 to each side
x - 5+5 > -2+5
x> 3
What will balance two spheres?
RIGHT ANSWER GETS BRAINLIEST PLS HELP
Answer:
1 cylinder
Step-by-step explanation:
cylinder is x, cube is y, and sphere is z
x+y=6z
2x=y
plug in
3x=6z
x=2z
cylinder
What is its inverse? F= {5,-1),(4,8),(6,8),(4,9)
Answer:
Hence, f −1 (x) = x/3 + 2/3 is the correct answer.
Step-by-step explanation:
Verify (f ∘ f−1) (x) = x
(f ∘ f−1) (x) = f [f −1 (x)]
= f (x/3 + 2/3)
⟹ 3(x/3 + 2/3) – 2
⟹ x + 2 – 2
= x
Hence, f −1 (x) = x/3 + 2/3 is the correct answer.
Step-by-step explanation:
m(gradient) =y2-y1/x2-x1
=8-(-1) /4-5
=8+1/-1
=9/-1
=-9
y-y1=m(x-x1)
y-(-1)=-9(x-5)
y+1=-9x+45
y=9x+45-1
y=9x+44(rule)
Inverse>y+44=9x
y+44/9=9x/9
x=y+44/9
Therefore inverse is y=x+44/9
Please help! I don't understand A-E its urgent :(
No links!!!! (picture included)
A. Name an alternate interior angle to angle 3
B. Name a corresponding angle to angle 8
C. Name a vertical angle to angle 2
D. Name a same side-interior angle to angle 5
E. Name an alternate exterior angle to angle 7
Step-by-step explanation:
A. 6 ---- Alternate interior angles are on opposite sides of the transversal while still between the other 2 lines
B. 4 ---- Corresponding angles are angles in matching corners when the transversal crosses over 2 other lines
C. 3 ---- Vertical angles are on opposite sides when 2 lines intersect
D. 6 ---- Side interior angles are the opposite of alternate interior angles, they are both on the same side
E. 2 ---- Alternate exterior angles are very similar to alternate interior angles, only that they are on the outside rather than on the inside of the 2 lines
Steve increases his math average by 9 points over a period of 15 weeks. How many points per week did his average increase?
Answer:
.6 points per week
Step-by-step explanation:
9/15
What is the area of a semicircle with a diameter of 8 feet? Estimate using 3.14 for TT
A) 25.12 ft ²
B) 50.24 ft²
C)200.96 ft ²
D) 100.48 Ft²
Step-by-step explanation:
So r = D ÷ 2
Since the area of a circle = πr²
then the area of a semi-circle = (¹/₂π (¹/₂D)²)
Area of a semicircle given the diameter = (¹/₂π (¹/₂D)²)
= (¹/₂(3.14) (¹/₂ 8ft)²)
= 25.12 ft²
Bianca deposits $3,000 in a savings account earning 4.25% simple interest per year. Part A How much interest will Bianca earn for a period of 3 years?
Answer:
$382.5
Step-by-step explanation:
First get the 4.25% of $3000. then multiply it by 3-representing 3 years.
hope it can help you lovelots
answer to this question please
Answer:
Volume is 21
Explanation
Base length is 4.5
Widgth is 3.5
and height is 4 (I can't tell if its 2 because picture is blurry)
V=lwh/3=4.5·3.5·4= 21
It costs $120 per week in gas to travel by car to work five days a week. what is the daily expense?