false , w = 147
multiply both sides by - 7 to eliminate the fraction
w = - 7 × - 21 = 147
The solution to the equation w/-7=-21 is not 3 but 147. Therefore, the original statement is false.
Explanation:The equation in question is w/-7 = -21. To solve this equation, we multiply both sides by -7.
When we do this, the equation simplifies to w = -(-21)*7. As -(-21) turns to 21, and 21*7 is equal to 147, we find that the solution to the equation w/-7=-21 is w=147, and not w=3.
Therefore, the statement 'The solution to w/-7=-21 is 3' is false.
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A ________ is a transformation that changes the size but not the shape of an image.
A.) rotation
B.) translation
C.) dilation
D.) reflection
C.) Dilation changes the size
Nick is now seven times as old as Harry. In 6 years, Nick will be five times as old as Harry. How old will Harry be in 6 years? If x represents Harry's age now, then which of the following equations could be used to solve the problem? 5(7x + 6) = x + 6 7x = 5x + 6 7x + 6 = 5 (x + 6)
Answer:
7x+6 = 5(x+6)
Step-by-step explanation:
x represents Harry's age now, so 7x represents Nick's age now. (Nick is 7 times as old as Harry.)
In 6 years, Harry's age will be x+6.
In 6 years, Nick's age will be 7x+6, which is 5 times Harry's age at that time, 5(x+6). Hence an appropriate equation is ...
... 7x+6 = 5(x+6)
_____
Please note that finding the value of x does not give the answer to the question. We are asked for Harry's age in 6 years, so the answer is x+6 (=18).
Answer:
Its D) aka the last option
Step-by-step explanation:
When evaluating a complex expression which of the following rules should be followed?
Evaluate from left to right
Evaluate from right to left
Evaluate using order of operations
Evaluate in any order
Answer:
Evaluate from left to right
Evaluate using order of operations
Step-by-step explanation:
To evaluate any complex expression that contains addition, subtraction , multiply or divide, exponents , parenthesis etc we use order of operation.
Order of operation is PEMDAS
To evaluate , first we simplify the parenthesis part and then exponents
Then do the multiplication and division from left to right.
Finally we do addition and subtraction from left to right
So the rules for evaluating a complex expression is
Evaluate from left to right
Evaluate using order of operations
Find the zeros for:
f(x)=x^4+x^3+4x^2
(Please show work)
View the image to see how I solved this problem.
There is an obvious factor of x², so we can reduce this to the problem of finding zeros of a quadratic by factoring that out. Then, we can determine the zeros of the quadratic factor to complete the finding of zeros for the function.
A factor of x² can be factored out, leaving ...
... f(x) = x²(x² +x +4)
The latter factor has only complex zeros. It can be rewritten by completing the square.
... x² +x +4 = (x² +x +1/4) +(3 3/4) = (x +1/2)² +(3 3/4)
So, the real zeros are where x² = 0, at x = 0. The complex zeros are where the above expression is zero, ...
... (x +0.5)² +3.75 = 0
... (x +0.5)² = -3.75
... x + 0.5 = √-3.75 = ±0.5i√15
... x = -0.5(1 ±i√15)
The function zeros are 0 (multiplicity 2) and -0.5±0.5i√15.
PLEASE ANSWER WILL MARK BRAINLIEST AND GET POINTS (good grammar skills)
PLEASE SHOW ALL WORK!!! THANK YOU VERY MUCH!!! :)
The original price of a car is $3000. What is the new price if the original price is reduced by 10%?
the new price is reduced by 10% of $3000.
10% of $3000 is one tenth of 3000, so 3000/10 = $300
so the original price was reduced by $300 to be $2700
what is 13 divided by eleven thousand eighty nine
Helppppppppppppppppppppp!!!!!!!!!!!!!!!!!ME
Answer:
23
Step-by-step explanation:
The notation (f∘g)(1) means f(g(1)). We can first find g(1), then use that value as the argument to the f function.
g(1) = 2·1-6 = -4
f(-4) = -4(-4)+7 = 16+7 = 23
Locating Zeros of Polynomial Function:
Approximate the real zeros of f(x)=2x^3-4x^2-3 to the nearest tenth
A graph shows that the best choice is ...
... b. 2.3
_____
Finding real roots of higher-degree polynomials is often done most easily with the help of a graphing calculator.
Q # 9 help please:The table shows the height of a plant as it grows.What equation in point-slope form gives the plant's height at anytime? let y stand for the height of the plant in cm and let x stand for the time in months
Answer: First option. y-15=5(x-3)
Solution:
We can take any pair of points of the table. For example:
P1=(3, 15)=(x1, y1)→x1=3, y1=15
P2=(5, 25)=(x2,y2)→x2=5, y2=25
And we can find the slope m using the following formula:
m=(y2-y1)/(x2-x1)
m=(25-15)/(5-3)
m=(10)/(2)
m=5
Now we can apply the point-slope formula to find the equation of the right line:
y-y1=m(x-x1)
Replacing y1=15, m=5, and x1=3
y-15=5(x-3)
The equation in point-slope form that represents the plant's growth over time would be 'y - 9 = 3x', given that the y-intercept is 9 and the slope is 3.
Explanation:Based on the information given, it is clear that the y-intercept where the line intersects the y-axis is 9 and the slope of the line is 3. We know that y stands for the height of the plant and x for time in months. Using these values, the equation in point-slope form, which is normally written as y - y1 = m(x - x1) where m is the slope and (x1, y1) is a given point on the line, can be simplified assuming that x1=0 and y1 is our y-intercept which is 9.
Therefore, the equation of the line that represents the growth of the plant over time in point-slope form would be y - 9 = 3x.
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Use the distributive property to simply 27-9x+15y
Distributive property: ⇒ a(b+c)=ab+ac
First you had to rewrite down as the nine and its should be three times three is equal to nine. Then you rewrite down as the twenty-seven and its should be nine times three is equal to twenty-seven. Next, you rewrite down as fifteen and its should be five times three is equal to fifteen.
And it gave us ⇒ [tex]=5*3y+9*3-3*3x[/tex].
Then you had to factor out by the common term of three.
And it gave us ⇒ [tex]3(5y+9-3x)[/tex]
Final answer ⇒ [tex]\boxed{=3(5y+9-3x)}[/tex]
Hope this helps!
And thank you for posting your question at here on brainly, and have a great day.
-Charlie
All 3 terms have a common factor 3 which we can take out
=3 ( 9 - 3x + 5y )
solve each given equation and show your work. tell whether it has one solution, an infinite number of solutions, or no solutions, and identify each equation as an identity, a contradiction or neither.
20-4x=12-x+8-3x
5x+4x-3= 24+8x
5x+6=2x+6+3x-15
(A) Subtracting the right side from both sides, we get ...
... (20 -4x) -(12 -x +8 -3x) = 0
... (20 -12 -8) +x(-4 +1 +3) = 0
... 0 = 0 . . . . . true for all values of x (infinite solutions)
(B) Subtracting the right side from both sides, we get ...
... (5x +4x -3) -(24 +8x) = 0
... x(5 +4 -8) +(-3 -24) = 0
... x -27 = 0
... x = 27 . . . . . . (one solution)
(C) Subtracting the right side from both sides, we get ...
... (5x +6) -(2x +6 +3x -15) = 0
... x(5 -2 -3) +(6 -6 +15) = 0
... 15 = 0 . . . . . . . not true for any value of x (no solutions)
a triangle has sides of length 4,3, and 5. is it a right triangle? explain
Yes. Notice that the Pythagorean Theorem applies here. 3^2 + 4^2 = 5^2, so this triangle is a right triangle.
1st term in sequence is 6-4th term is -6, the 8th term is -22 write a function that can be used to find the nth term of the sequence
EXPLANATION
The nth term of the sequence is given by
[tex]U_n=a+(n-1)d [/tex]
Where
[tex]a[/tex]
is the first term and
[tex]d[/tex]
is the constant difference.
We were given that,
[tex]a=6[/tex]
S we just need the common difference to write the nth term.
We can get that from another information given to us.
We were also given that the 4th term is 6. This gives the equation.
[tex]a+3d=-6[/tex]
We substitute
[tex]a=6[/tex]
to obtain
[tex]6+3d=-6[/tex]
Or
[tex]2+d=-2[/tex]
This implies,
[tex]d=-2-2[/tex]
[tex]d=-4[/tex]
We substitute these values into the general formula to obtain,
[tex]U_n=6+(n-1)\times-4[/tex]
This gives us,
[tex]U_n=6+-4n+4[/tex]
[tex]U_n=10-4n[/tex]
Hence the nth term of the sequence is,
[tex]10-4n[/tex]
[tex]a_{n}[/tex] = 10 - 4n
this is an arithmetic sequence with n th term
[tex]a_{n}[/tex] = [tex]a_{1}[/tex] + (n - 1 )d
where [tex]a_{1}[/tex] is the first term and d the common difference
given [tex]a_{4}[/tex] = - 6, then
6 + 3d = - 6 ( subtract 6 from both sides )
3d = - 12 ( divide both sides by 3 )
d = - 4 ← common difference hence
[tex]a_{n}[/tex] = 6 - 4 (n - 1 ) = 6 - 4n + 4 = 10 - 4n
Find the circumference of a circle with diameter 7.3 m Use the pi key on your calculator and round your answer to the nearest tenth
Answer:
22.9 m
Step-by-step explanation:
Circumference = π × diameter
Using a calculator to evaluate 7.3π, we get 22.933626...
Rounding this to the nearest tenth gives 22.9. Units are meters.
The circumference of a circle with a diameter of 7.3m is approximately 22.9 meters.
Explanation:The circumference of a circle is calculated by using the formula C = πd, where 'C' is the circumference and 'd' is the diameter. Given that the diameter of the circle is 7.3 m, you can plug this value into the formula to find the circumference.
So, C = π × 7.3
To find the circumference of a circle with diameter 7.3m, we can use the formula C = π x d, where C is the circumference and d is the diameter. Plugging in the given value, we get C = 3.14 x 7.3 = 22.922. Rounding to the nearest tenth, the circumference is approximately 22.9 meters.
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Need help on this one please answer asap
ABCD is a parallelogram.
Use a system to find x and y
if AB= 6x+30,.
BC=2x-5,
CD=2y-10,
and AD=y-35
Opposite sides of a parallelogram are equal lengths, so ...
... AB = CD
... 6x +30 = 2y -10
and
... BC = AD
... 2x -5 = y -35
_____
The equations can be put in standard form to get
... 3x -y = -20
... 2x -y = -30
Subtracting the second from the first, we get
... x = 10
Solving for y, we have
... y = 2x+30 = 2·10 +30 = 50
The values of x and y are x=10, y=50.
_____
AB = 6x+30 = 90
BC = 2x-5 = 15
I just need help on number 11
0.57
Step-by-step explanation:Writing a percentage as a decimal is no big mystery. The percent symbol (%) is simply a shorthand way to write "per hundred" or "divided by 100" (/100).
So ...
... 57% = 57/100
You know from place value and the way you read numbers that fifty-seven hundredths written as a decimal is ...
... 0.57
What is the Greatest Common Factor of x4 and x5?
x − x4
x3
x2
x
Answer: [tex]x^4[/tex]
Step-by-step explanation:
Here, the given expressions are,
[tex]x^4[/tex]
[tex]x^5[/tex]
The factors of [tex]x^4[/tex] = x × x × x × x
While, the factors of [tex]x^5[/tex] = x × x × x × x × x
Hence, the common factors = x × x × x × x = [tex]x^4[/tex]
So, the greatest common factor of the given expression is [tex]x^4[/tex]
Answer:
A. x4
Step-by-step explanation:
Use a drawing of counters to show 5 and then +7
red red red red red yellow yellow yellow yellow yellow yellow
hope this helps :)
Use a model to solve. An average orange weighs 3/5 of a pound. Based on this average, how many oranges are in six pounds of oranges?
the ordered pairs (0, 1), (3' 2), (3, 5), and (5, 4) are on the graph of a relation between x and y. which of the following statements is true?
A: x is a function of y
B: y is a function of x
C: the relation passed the vertical line test
D: the domain of the relation is {1, 2, -5, 4}
Your answer is C.The relation passed the vertical line test.
A and B received a total of $210,000 from a deceased relative's estate. They decided to put away $50,000 in a trust for their child and divide the remainder into ¼ for B and ¾ for A. How much will A receive?
Initial amount: $210,000
Setting aside: $50,000
Remaining: $160,000
3/4 of remaining amount: 160,000 times 0.75 = $120,000
1/4 of remaining amount: 160,000 times 0.25 = $40,000
Please help!
Approximate the solution to the graphed system. Explain how you got your answer.
Given the points M(-7,-4),N(-3,-3) O(-4,-7) and P(-8,-8). Determine the type of quadrilateral by using coordinate geometry
Try this solution (see the attachment, there is not the only way).
The short explanation: the target - to prove, PN≠OM; PN⊥OM; point S is midpoint of OM&PN, - the properties of rhombus.
A manufacturer of sunglasses currently sells one type for $15/pair. The price p and the demand x are related by x=9500-250p.
A) at this price, is the demand inelastic or elastic.
B) should the price be increased or decreased to increase revenue?
A) The price elasticity of demand is given by
... Ed = (dx/dp)·(p/x)
... = -250·(15/(9500-250·15)) ≈ -0.652
B) This value has a magnitude less than 1, so price can be increased to increase revenue.
_____
The price at which Ed has a magnitude of 1 is ...
... 250p/(9500 -250p) = 1
... 250p = 9500 -250p
... 500p = 9500
... p = 9500/500 = 19
Revenue will increase as price increases up to $19 per pair.
Will give brainliest and extra points omg help ! /:
(d)
This equation does not factor, but we can solve using the quadratic formula
x = ( - b ± √(b² - 4ac) )/ 2a
given the equation in standard form : ax² + bx + c = 0
divide through by - 1, to obtain
x² + 7x + 2 = 0
with a = 1, b = 7 and c = 2, then
x = ( - 7 ± √(49 - 8) ) / 2
= ( - 7 ± √41 ) / 2
x = - [tex]\frac{7}{2}[/tex] ± √41 / 2 → (d)
PLZZZZZZZZZZZZZZZZZZZZ HELP IM IN A RUSH
If the answer is not a whole number, it should be entered as a decimal rounded to the hundredths place.
A photograph with a width of 5.5 inches is being enlarged by a factor of 4 1/2 to make a poster.
The new width of the photograph is ________
inches.
Answer:
24.75 i just had this question got it wrong but there's the correct answer
Q # 15 please Graph the equation .y = 4x - 3
Answer: Please, see the attached file.
Thanks.
Solution:
We can graph using the intercepts:
(1) y-intercept, when x=0
y=4x-3→y=4(0)-3→y=0-3→y=-3
Point=(x,y)=(0,-3)
(2) x-intercept, when y=0
y=4x-3→0=4x-3
Solving for x: Adding 3 both sides of the equation:
0+3=4x-3+3
3=4x
Dividing both sides of the equation by 4:
3/4=4x/4
3/4=x
x=3/4=0.75
Point=(x,y)=(3/4,0)=(0.75,0)
With these pair of points (0, -3) and (0.75,0) we can draw the right line
What is the perimeter of the triangle shown on the coordinate plane, to the nearest tenth of a unit?
14.6 units
15.5 units
21.0 units
21.6 units
21.6 units
Calculate the length of the 2 inclined sides using the distance formula
d = √(x₂ - x₁ )² + (y₂ - y₁ )²
with (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, 4 )
d = √(3 + 3 )² + (4 - 3)² = √(36 + 1 ) = √37
repeat for (x₁, y₁ ) = (- 3, 3 ) and (x₂, y₂ ) = (3, - 3 )
d = √(3 + 3 )² + (- 3 - 3 )² = √(36 + 36 ) = √72
the vertical side has a length of 7 units
perimeter = √37 + √72 + 7 = 21.6 ( nearest tenth of a unit )
The perimeter of the triangle shown on the coordinate plane is 15.5 units
The perimeter of the triangle is the sum of the lengths of its three sides. To find the lengths of the sides, we can use the distance formula:
distance = sqrt((x2 - x1)^2 + (y2 - y1)^2)
The coordinates of the three points are:
A = (0, 0)
B = (10, 0)
C = (5, 10)
The length of side AB is:
distance from A to B = sqrt((10 - 0)^2 + (0 - 0)^2) = sqrt(10^2) = 10
The length of side BC is:
distance from B to C = sqrt((5 - 10)^2 + (10 - 0)^2) = sqrt((-5)^2 + 10^2) = sqrt(125) = 5 \sqrt{5}
The length of side AC is:
distance from A to C = sqrt((5 - 0)^2 + (10 - 0)^2) = sqrt(5^2 + 10^2) = sqrt(125) = 5 \sqrt{5}
Therefore, the perimeter of the triangle is:
perimeter = AB + BC + AC = 10 + 5 \sqrt{5} + 5 \sqrt{5} = 10 + 10 \sqrt{5}
To the nearest tenth of a unit, the perimeter of the triangle is 15.5 units.
Therefore, the answer is 15.5 units.
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Help ASAP plsssssssssss
Substitute the value of the variable into the expression and simplify.
1. 24
2. 17