Answer:
x = 8 or x = -8
Step-by-step explanation:
Answer:
absolute value will always be positive
the answer is x=8
I really don’t get this question can someone help me
======================================================
Explanation:
Points are of the form (x,y), where y = f(x) since y and f(x) are outputs.
When we vertically stretch by a factor of 3, we are making the function curve 3 times more stretched out along the vertical y axis. So a general point (x,y) becomes (x,3y). Whatever the y coordinate is, we multiply by 3 to get its stretched out counterpart.
Eg: (0,-2) on f(x) moves to (0,-6) which is on g(x)
-------------
Since y = f(x), and we're multiplying y by 3, we can say
f(x) = |x-3| - 2
3*f(x) = 3*( |x-3| - 2 )
3*f(x) = 3|x-3| + 3(-2)
3*f(x) = 3|x-3| - 6
g(x) = 3|x-3| - 6
Please look at the image and help me! It’s geometry.
Answer:
1
Step-by-step explanation:
12x+x+4=17
13x=17-4
13x=13
x=1
The factorization below is missing two positive integers a and b. 6x^(3)+18x^(2)-240x=6x(x-a)(x+b) Factor the polynomial and then supply the value of a. (Do not include the minus sign.)
Answer:
a = 5
Step-by-step explanation:
Hello, please consider the following.
[tex]6x^3+18x^2-240x=6x(x^2+3x-40)\\\\\text{** The sum of the zeroes is -3=-8+5 and the product is -40=-8*5. **}\\\\\text{** So, we can factorise. **}\\\\6x^3+18x^2-240x=6x(x^2+3x-40)=6x(x^2+8x-5x-40)\\\\=6x(x(x+8)-5(x+8))\\\\\large \boxed{=6x(x+8)(x-5)}[/tex]
So, a = 5.
Thank you.
the radius of a sphere is 7 meters what is the circle's area
★ Given :
[tex]\begin{lgathered}\bullet\:\:\textsf{Radius of circle = \textbf{7 meter}}\end{lgathered}[/tex]
[tex]\rule{130}1[/tex]
★ Digram :
[tex]\setlength{\unitlength}{1mm}\begin{picture}(50,55)\thicklines\qbezier(25.000,10.000)(33.284,10.000)(39.142,15.858)\qbezier(39.142,15.858)(45.000,21.716)(45.000,30.000)\qbezier(45.000,30.000)(45.000,38.284)(39.142,44.142)\qbezier(39.142,44.142)(33.284,50.000)(25.000,50.000)\qbezier(25.000,50.000)(16.716,50.000)(10.858,44.142)\qbezier(10.858,44.142)( 5.000,38.284)( 5.000,30.000)\qbezier( 5.000,30.000)( 5.000,21.716)(10.858,15.858)\qbezier(10.858,15.858)(16.716,10.000)(25.000,10.000)\put(25,30){\line(5,0){20}}\put(25,30){\circle*{1}}\put(29,26){\sf\large{7 m}}\end{picture}[/tex]
[tex]\rule{130}1[/tex]
★ Solution :
☯ [tex]\underline{\boldsymbol{According\: to \:the\: Question\:now :}}[/tex]
[tex]:\implies\sf Area\:of\:circle = \pi r^2 \\\\\\:\implies\sf Area\:of\:circle = \dfrac{22}{\cancel{7}} \times \cancel{7} \times 7\\\\\\:\implies\sf Area\:of\:circle = 22 \times 7\\\\\\:\implies\sf Area\:of\:circle = 154 m^{2}[/tex]
⠀
[tex]\therefore\:\underline{\textsf{Area of circle is \textbf{154}} \:\sf{m^2}}.[/tex]
[tex]\rule{170}{2}[/tex]
Write an equation for the nth term of the arithmetic sequence. Then find a50.
1/3 , 1/2 , 2/3 , 5/6
Step-by-step explanation:
Since the sequence above is an arithmetic sequence
For an nth term in an arithmetic sequence
A(n) = a + ( n - 1)d
where a is the first term
n is the number of terms
d is the common difference
From the question
a = 1/3
d = 1/2 - 1/3 = 1/6 or 2/3 - 1/2 = 1/6
Substitute the values into the above formula
That's
[tex]A(n) = \frac{1}{3} + (n - 1) \frac{1}{6} \\ = \frac{1}{ 3} - \frac{1}{6} + \frac{1}{6} n [/tex]So the nth term of the sequence is
[tex]A(n) = \frac{1}{6} + \frac{1}{6}n[/tex]For a50 since we are finding the 50th term
n = 50
So we have
[tex]A(50) = \frac{1}{6} + \frac{1}{6} (50) \\ = \frac{1}{6} + \frac{25}{3} [/tex]We have the final answer as
[tex]A(50) = \frac{17}{2} [/tex]Hope this helps you
A triangle has a hypotenuse of 14 inches. Angle A is equal to
72 degrees.
Find the length of the adjacent side. Round the solution to the
nearest hundredth.
Answer:
b = 4.33 in
Step-by-step explanation:
angle A = 72°
hypotenuse = 14 in
Required: Adjacent side length (b)
use the formula Cos A = adjacent / hypotenuse
cos (72) = b / 14
b = cos (75) * 14
b = 4.33 in
If a silver alloy that costs $6.50 an ounce
is going to be mixed with 30 ounces of a
silver alloy that costs $9 an ounce to
make a mixture that costs $8 an ounce,
how many ounces of the $6.50 an ounce
alloy must be used?
Answer:
20 is the correct answer
Step-by-step explanation:
you're welcome :)
Find the equation that best represents the following word problem: In a certain freshman class, the number of girls is 83 less than twice the number of boys (b). The total number of students in that freshman class is 259. How many boys and girls are in that class?
Answer:
[tex]g = 2b-83[/tex]
[tex]b+g=259[/tex]
Number of boys = 114
Number of girls = 145
Step-by-step explanation:
Let the number of boys in the class = [tex]b[/tex]
Now, as per question statement,
Number of girls is 83 less than twice the number of boys.
Representing in the form of equation.
Let number of girls = [tex]g[/tex]
[tex]g = 2b-83 ....... (1)[/tex]
Also, given that total number of students in the class = 259
i.e. [tex]b+g=259[/tex]
Putting value of [tex]g[/tex] using equation (1):
[tex]\Rightarrow b+2b-83=259\\\Rightarrow 3b-83=259\\\Rightarrow 3b=259+83\\\Rightarrow 3b=342\\\Rightarrow \bold{b=114}[/tex]
So, number of boys, b = 114
Putting value of [tex]b[/tex] in equation (1) to find the value of [tex]g[/tex].
[tex]\Rightarrow g = 2(114)-83 \\\Rightarrow g = 228-83\\\Rightarrow \bold{g = 145}[/tex]
So, number of girls, g = 145.
Hence, the answer is:
Number of boys = 114
Number of girls = 145
X2+14x=-7 what number must you add to complete the square
Answer:
49
Step-by-step explanation:
To find the number we add to both sides to complete the square, we do b divided by 2 all squared.
(b/2)²
In this case, we have b = 14
(14/2)²
7²
49
Answer: 49
Step-by-step explanation:
To complete the square, the second leading coefficient divided by 2 squared will give you the number need to add to both sides.
For example,
14 is the second leading coefficient in the so if you divide it by 2 you get 7 and 7 squared is 49.
Combine the like terms to create an equivalent expression -3x-6+(-1)
The equivalent expression after combining the like terms is -3x - 7.
We have,
Expression:
-3x - 6 + (-1)
-6 and -1 are like terms.
To combine the like terms simply add them together:
-3x - 6 + (-1)
-3x - 7
-3x is the only term so it can be simplified further.
This is the simplest form of the expression.
Therefore,
The equivalent expression after combining the like terms is -3x - 7.
Learn more about expressions here:
https://brainly.com/question/3118662
#SPJ4
In which of these figures appear to contain a set of lines that is neither parallel nor perpendicular?
Answer:
D
Step-by-step explanation:
The lines in A meet at a right angle (90°) so they are perpendicular.
The lines in B meet at a right angle (90°) so they are perpendicular.
The lines in C do not meet and appear to be parallel.
The lines in D meet at an angle that does not appear to be 90°, so they are neither perpendicular nor parallel.
Dany scored 93 in physics, 88 in mathematics, and a score in chemistry that is double his score in geography. The average score of all 4 courses is 79. What were his scores in chemistry and geography?
Linda scored a total of 265 point
Answer:
90
Step-by-step explanation:
Let x be Dany's score in geography. His score in chemistry is double his score in geography and it is equal to
2 x
The average of all four scores is 79. Hence
(93 + 88 + x + 2 x) / 4 = 79
Multiply both sides of the equation by 4
4×(93 + 88 + x + 2 x) / 4 = 4×79
Simplify
93 + 88 + x + 2 x = 316
Group like terms
3 x + 181 = 316
Solve for x
3 x = 135
3 x / 3 = 135 / 3
x = 45
score in geography = x = 45
score in chemistry = 2 x = 2 × 45 = 90
Hope it helped u if yes mark me BRAINLIEST!
Tysm!
Answer:
[tex]\huge\boxed{Chem = 90 \ marks , Geo = 45 \ marks}[/tex]
Step-by-step explanation:
Let the score of geography be x
=> Then, the score of chemistry will be 2x
So, the given condition is:
[tex]Average = \frac{Sum \ of \ values}{No. \ of \ values}[/tex]
=> [tex]79 = \frac{93+88+x+2x}{4}[/tex]
=> [tex]79 = \frac{181+3x}{4}[/tex]
Multiplying both sides by 4
=> [tex]79 * 4 = 181+3x[/tex]
=> 316 = 181 + 3x
Subtracting 181 to both sides
=> 316-181 = 3x
=> 135 = 3x
Dividing both sides by 3
=> 45 = x
OR
=> x = 45
So,
Chemistry = 45 * 2 = 90 marks
Geography = 45 marks
For this item, a non-integer answer should be entered as a fraction using / as the fraction bar. Simplify the numerical expression. 2/3 divided by 2^4 + (3/4 + 1/6) divided by 1/3 =
Answer:
67/24
Step-by-step explanation:
Simplify the numerical expression.
2/3 divided by 2^4 + (3/4 + 1/6) divided by 1/3
2/3 ÷ 2⁴ +(3/4 + 1/6) ÷ 1/3
(2/3 ÷ 2⁴ ) +[(3/4 + 1/6) ÷ 3]
= (2/3 ÷ 16) + [9 + 2/12) ÷ 1/3]
=( 2/3 × 1/16 ) + [ 11/12 × 3]
= 1/24 + 11/4
= 67/24
Through (5,2) slope=1
Answer:
y = x - 3
Step-by-step explanation:
Equation of line in slope point form is given as:
y - y_1 = m(x - x_1)
[tex]y - y_1 = m(x - x_1) \\ y - 2 = 1(x - 5) \\ y - 2 = x - 5 \\ y = x - 5 + 2 \\ y = x - 3 \\ [/tex]
can someone help on 3? i got 455
5(p)13
1x+30
1 • x = 1 • 5 = 5
5 + 30 = 35
35(13) = 455
Answer:
Hey there!
p(x)=x+30
p(13)=13+30
p(13)=43
5(43)=215
Let me know if this helps :)
The number of cars (C) in a aprking lot increases when the parking fee (f) decreases. Wrrite an equation for this scenerio, and solve for the number of cars when the fee is $6
Answer:
The correct equation for the scenario is C=k / f
Number of cars when fee=$6 is
C=k/6
Step-by-step explanation:
Let
C= number of cars
f=fee
Number of cars increases as fee decreases
This is an inverse variation
Therefore,
C= k / f
When,
f=$6
C= k / f
C=k/6
The correct equation for the scenario is C=k / f
Number of cars when fee=$6 is
C=k/6
NEED HELP ASAP
PLZZZZS????
Answer: m∠F = 31°
Solution: The triangle's rotation is irrelevant to the measure of its angles. In other words, angles D, E, and F will all stay the same if the triangle is turned ("rotated"). That being said, we know by definition that the interior angles of a triangle add up to 180°. We are given two of the angles, and we are asked to find the third:
m∠D + m∠E + m∠F = 180°48° + 101° + m∠F = 180°149° + m∠F = 180°m∠F = 31°simplifiy the expression -|-5.(-7)|
Answer:
-5|-7|
Step-by-step explanation:
[tex]-\left|-5\left(-7\right)\right|\\\\\mathbf{missing\:stepId}=\\\\Refine\:Abs\:Checked\:3Eq,\:\\\\|ax|=a|x|,\:a\ge 0,\:-\left|-7\right|\\=-5\left|-7\right|[/tex]
Answer:
[tex]\Huge \boxed{\mathrm{-35}}[/tex]
Step-by-step explanation:
[tex]\Rightarrow -|-5* (-7)|[/tex]
Multiplying the terms in the absolute value.
[tex]\Rightarrow -|35|[/tex]
The absolute value of a number is the distance between that number and zero.
The absolute value of 35 is 35.
[tex]\Rightarrow -35[/tex]
3x/5=30 solve the equation
Answer:
Step-by-step explanation:
To solve equations like this you need to to get x by itself.
So, Let's multiply both sides by 5 to get rid of 5.
3x/5 *5 = 30 * 5
= 3x = 150
Now we divide both sides by 3 to get x by itself,
3x/3 = 150/3
x = 50
Answer:
x = 50Step-by-step explanation:
[tex]\frac{3x}{5}=30\\\\\mathrm{Multiply\:both\:sides\:by\:}5\\\\\frac{5\cdot \:3x}{5}=30\cdot \:5\\\\\mathrm{Simplify}\\\\3x=150\\\\\mathrm{Divide\:both\:sides\:by\:}3\\\\\frac{3x}{3}=\frac{150}{3}\\\\x = 50[/tex]
evaluate the expression for the given value of x.
2x-6;x=9
Answer:
12
Step-by-step explanation:
2x - 6 = ?
x = 9
You substitute x for 9: the value of x.
2(9) - 6 = ?
2 * 9 = 18
18 - 6 = 12
So your answer is 12.
Hope it helps : )
Brainliest pleaseeee
6 bags cost $16.50 How much is 3 bags
Answer:
3 bags cost $8.25
Step-by-step explanation:
Proportions:
6 bags ⇔ $16.50
3 bags ⇔ $B
B = 16.5*3/6
B = $8.25
Answer:
Step-by-step explanation:
8.25
Rewrite this decimal fraction as a decimal number.
Answer:
14.25
Step-by-step explanation:
14 25/100= 14*100+25/100=
1400+25/ 100
= 1425/100
= 14.25
Answer:
14.25
Step-by-step explanation:
the expression 14 25/100 can be written as 14+25/100
now converting 25 into decimal to cancel out the denominator we ll get 0.25
now adding 14 into 0.25
14+0.25
we get 14.25
Please help me......
Answer:
I got 50.7%, rounded up to be 51
Step-by-step explanation:
Add up all of Sohan's points and divide it by the total number of points and move the decimal over 2 places
Approximate the value of 119√
Answer:
√119 = 10.908712114636
which two continents are entirely located in the western hemisphere
Answer:
south america and north america
Step-by-step explanation:
(2x +1) -7 (-6x+9) what is the answer if using the Distributive Property?
Answer:
Step-by-step explanation:
Distributive property: a(b +c) = a*b + a*c
(2x + 1) - 7(-6x + 9) = (2x + 1) + (-7)*(-6x) + (-7)*9
= 2x + 1 + 42x - 63 {Combine like terms}
= 2x + 42x + 1 - 63
= 44x - 62
i need the answer to 6x - 9x+ 7= -1
Answer:
x = -8/3
Step-by-step explanation:
So first let's simplify the expression. Grouping together like terms gives:
-3x + 7 = -1
Subtracting 7 from both sides gives
-3x = -8
Meaning x = -8/3
Answer:
x = 8/3 or 2.67
Step-by-step explanation:
6x - 9x + 7 = -1
6x - 9x = -3x
-3x + 7 = -1
-7 -7
-3x = -8
/-3 /-3
x = 8/3 or 2.67
if the volume of a cube is 27 metre cube find one of side
5 positive integers are arranged in ascending order, as follows:
3, 5, 5, 9, x
There are 2 modes.
Find x.
A mode is a number that shows up more often than other numbers.
The number 5 would be a mode because there are two of them.
Since there are 2 modes and the numbers go from smallest to largest x would need to be 9, so there would be two 9’s
X = 9
Whats the solution to this equation?
2x + 3(x - 10) = 45
A. x = 7
B. x = 3
C. x = 15
D. x = 11
Answer:
C
Step-by-step explanation:
2x + 3(x - 10) = 45
2x + 3x - 30 = 45
5x - 30 = 45
5x = 75
x = 15