[tex]15^{4x-8} =1\\\\\implies 15^{4x-8} = 15^0\\\\\implies 4x -8 = 0\\\\\implies 4x = 8\\\\\implies x = \dfrac 84\\\\\implies x =2[/tex]
PLEASE HELP QUESTION IN PICTURE
Answer:
y= 1/3x + 3
Step-by-step explanation:
Here it is, I hope it shows up clearer
Which is greater?
48 fl oz
10 3/4 c
Find the value of x and the perimeter of the following shapes:
Answer:
x=2, perimeter=14
Step-by-step explanation:
Finding x
(x+1)(x+2)
x^2+2x+x+2=12
x^2+3x-10
x^2-2x+5x-10
x(x-2)5(x-2)
(x+5)(x-2)
x=-5
x=2
Length or Width should be a positve number.
x=2
Perimeter:
3+3+4+4=14
slope=5, y-intercetp=3
Answer:
y=−5x+3. Explanation: The y-intercept on a straight line graph is always the constant. In that the constant is the value of c
Step-by-step explanation:
Amelia, Luis, Shauna, and Clarence used different approaches to solve the inequality
7.2b + 6.5 > 4.8b – 8.1.
Amelia started by subtracting 7.2b from both sides to get 6.5 > –2.4b – 8.1.
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Shauna started by subtracting 6.5 from both sides to get 7.2b > 4.8b – 14.6.
Clarence started by adding 8.1 to both sides to get 7.2b + 14.6 > 4.8b.
Which student’s first step was incorrect, and why?
Answer:
B
Step-by-step explanation:
Luis started by subtracting 4.8b from both sides to get 2.4b + 6.5 < – 8.1.
Answer:
Luis’s, because he flipped the inequality sign when he subtracted
Step-by-step explanation:
Luis’s, because he flipped the inequality sign when he subtracted
helpppp im failing math
Answer:
i think 4.4n+3-3.4n = n+3
Answer:
n+3
Step-by-step explanation:
If Im not incorrect you have to combine like terms in the equation which would only leave you with 1n (Just N basically) then you just plug in the three and equation done.
A certain stylist charges $15 for a haircut and $30 for hair coloring. A haircut takes on average 30 minutes, while coloring takes 2 hours. The stylist works up to 8 hours in a day, and she needs to make a minimum of $150 a day to pay for her expenses.
a. Create a system of inequalities that describes the constraints in this situation. Be sure to specify what each variable represents.
b. Graph the inequalities and show the solution set.
c. Identify a point that represents a combination of haircuts and and hair-coloring jobs that meets the stylist's requirements.
#a
[tex]\\ \sf{:}\Rrightarrow 15x+30y\geqslant 150[/tex]
[tex]\\ \sf{:}\Rrightarrow x+y\geqslant 10[/tex]
And
[tex]\\ \sf{:}\Rrightarrow 0.5x+2y\geqslant 8[/tex]
#2
Attached
#3
(8,2)Which graph is defined by the function given below?
y = (x-3)(x-3)
Answer: graph b
Step-by-step explanation:
Vertex: ( 3 ,0 )
Focus: ( 3 , 1 4 )
Axis of Symmetry: x = 3
Directrix: y = − 1 4
Answer two questions
Answer:
3) a = 9
4) v = 16
Step-by-step explanation:
Assuming here that the two questions you're talking about are problem 3 and problem 4, here is my work to find each answer.
Problem 3
First, let's distribute the 5 onto both terms in the parentheses.
5(a - 3) = 30
5(a) - 5(3) = 30
5a - 15 = 30
Next, we can add 15 to both sides to isolate a.
5a - 15 = 30
5a = 45
Finally, divide both sides by 5 to find the value of a.
5a = 45
a = 9
Problem 4
First, let's remove 2 from both sides of the equation.
v/2 + 2 = 10
v/2 = 8
Then, we can multiply both sides by 2 to find the value of v.
v/2 = 8
v = 16
[tex]\huge\text{Hey there!}[/tex]
[tex]\huge\text{Number 1}[/tex]
[tex]\text{QUESTION: 5(a - 3) = 30}\\\\\large\textsf{DISTRIBUTE 5 WITHIN the PARENTHESES}\\\\\rm{5(a) + 5(-3) = 30}\\\\\rm{5a - 15 = 30}\\\\\large\textsf{ADD 15 to BOTH SIDES}\\\\\rm{5a - 15 + 15 = 30 + 15}\\\\\large\textsf{CANCEL out: -15 + 15 because it gives you 0}\\\large\textsf{KEEP: 30 + 15 because it helps solve for the a-value}\\\\\text{NEW EQUATION: 5a = 30 + 15}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{5a = 45}\\\\\large\textsf{DIVIDE 5 to BOTH SIDES}\\\\\rm{\dfrac{5a}{5} = \dfrac{45}{5}}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{\dfrac{5}{5}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{\dfrac{45}{5}}\large\textsf{ because it helps solve for the a-value}\\\\\text{YOUR NEW EQUATION: }\rm{a = \dfrac{45}{5}}\\\\\large\textsf{SIMPLIFY IT!}\\\\\large\text{a = 9}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{a = 9}}}\huge\checkmark[/tex]
[tex]\huge\text{NUMBER 2}[/tex]
[tex]\text{QUESTION: }\rm{\dfrac{v}{2} + 2 = 10}\\\\\rm{\rightarrow \dfrac{1}{2}v + 2 = 10}\\\\\large\textsf{SUBTRACT 2 to BOTH SIDES}\\\\\rm{\dfrac{1}{2}v + 2 - 2 = 10 - 2}\\\\\large\textsf{CANCEL out: 2 - 2 because it gives you 0}\\\large\textsf{KEEP: 10 - 2 because it helps solve for the v-value.}\\\\\text{YOUR NEW EQUATION: }\rm{\dfrac{1}{2}v = 10 - 2}\\\\\text{SIMPLIFY IT!}\\\\\rm{\dfrac{1}{2}v = 8}\\\\\large\textsf{MULTIPLY 2 to BOTH SIDES}\\\\\rm{2\times \dfrac{1}{2}v = 2\times8}[/tex]
[tex]\large\textsf{CANCEL out: }\mathsf{2\times\dfrac{1}{2}}\large\textsf{ because it gives you 1}\\\large\textsf{KEEP: }\mathsf{2\times8}\large\textsf{ because it helps solve for the v-value}\\\\\text{YOUR NEW EQUATION: }\rm{v = 2\times8}\\\\\large\textsf{SIMPLIFY IT!}\\\\\rm{v = 16}\\\\\huge\text{Therefore, your answer is: \boxed{\textsf{v = 16}}}\huge\checkmark[/tex]
[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]
~[tex]\frak{Amphitrite1040:)}[/tex]
It takes me 12 minutes to run 2 kilometers. How long will it take me to run 10,000 meters?
help me please i cant math
Answer:
(b) 3 +x = 12
Step-by-step explanation:
To solve these for x, you would ...
a) divide by 3
b) subtract 3
c) add 3
d) multiply by 3
The subtraction property of equality says you can subtract the same value from both sides of an equation without affecting the value of the variable(s). It is applicable when you need to subtract a quantity in order to get the variable by itself.
Solving 3 +x = 12 would make use of the Subtraction Property.
A 9-foot roll of waxed paper costs $4.32. What is the price per inch?
The price per foot is $0.91
Step-by-step explanation:
A 6-yard roll of butcher paper costs 16.38
1 yard = 3 foot
6 yards = 3 times 6 = 18 foot
the cost of 18 foot is $16.38
To find price per foot, we divide the cost of 6 yards by 18
16.38÷ 18 = 0.91
The price per foot is $0.91
What is the product? (x 3)(2 x minus 1) 2 x squared minus 3 2 x squared 6 x 2 x squared 5 x minus 3 2 x squared 6 x minus 3.
The product of the function is 2x^2+ 5x - 3
We are to find the product of the functions x + 3 and 2x -1
let f(x) = x+ 3g(x) = 2x - 1Taking the product:
f(x)g(x) = (x+3)(2x -1)
f(x)g(x) = x(2x) - x(1) + 3(2x) + 3(-1)
f(x)g(x) = 2x^2 - x + 6x - 3
f(x)g(x) = 2x^2+ 5x - 3
Hence the product of the function is 2x^2+ 5x - 3
Learn more on product of functions here: https://brainly.com/question/25638609
Answer:
c
Step-by-step explanation:
if 4.5 pounds of cherries cost $10 , what is the unit price per pound ? A.$0.22 B.$0.45 C. $2.22
Answer:
C
Step-by-step explanation:
Divide the price by the weight 10 / 4.5 = $2.22 per pound
branliest if correct.
Solve.
2.903=y+710
Enter your answer as a decimal in the box.
y =
Given that Ax - 4x² + 3x² + 4 = (x² - 2x + 1)(2x² + B) + C(x-1) + D for all values of x, evaluate A, B, C and D. Hence, deduce the remainder when Ar-4x+3x²+4 is divided by 2x² + B.
SANA MAKATULONG
#CARRYONLEARNING
Write an equation of a line that is parallel to y = -3x + 5 and passes through (0, 3).
Answer in slope-intercept form
Answer:
A line parallel to this one would have a slope of 3. where m is the slope and b is the y intercept. In this case, the equation y=3x+5 is already in slope intercept form, which means the slope is 3. Parellel lines have the same slope, so any other line with slope 3 is parallel to this line.
I think that's the answer
Answer: y = -3x - 3
Step-by-step explanation:
If you are looking for a line that is parallel, then it must have the same gradient
Therefore;
y= -3x +c
And because it passes through (0,3), substitute in the values to find c
3 = -3 x 0 + c
c = 3
So the equations would be y = -3x -3
how do you solve this inequality
[tex] \frac{2x - 3}{5} - \frac{x}{3} \leqslant 2[/tex]
[tex]\dfrac{2x -3}{5} - \dfrac x3 \leq 2\\\\\implies \dfrac{6x-9-5x}{15} \leq 2\\\\\implies x-9 \leq 15 \times 2\\\\\implies x -9 \leq 30\\\\\implies x \leq 30 +9 \\\\\implies x \leq 39\\\\\text{Interval,}~ (-\infty, 39 ][/tex]
Answer:
x
Step-by-step explanation:
Refer to '<' as ' less than or equal to '
Whenever you are deal with these types of inequalities / equations, nake sure to equate the denominators of both entities involved in the operation be it ( -, × , ÷ ,+ )
with that in mind
* 2x - 3/5 - x/3 < 2 has 2 different denominators i.e - 5 & 3
so to equate both sides, let's multiply each by the denominator they are lacking.
* 2x - 3/5 lacks 3 compared to -x/3.
* similarly, -x/3 lacks 5 compared to 2x - 3/5
multiply both by what they lack (2)
thus, (2x - 3 )×3 /(5) × 3 - (x × 5) × 5/ (3) × 5 < 2
* 6x - 9/ 15 - 5x/15 < 2
we can now combine the numerators since we now have a common denominator which is 15.
* 6x - 9 - 5x/ 15 < 2 (6x-9-5x) is equal to -9 + x = x - 9.
criss cross
* x - 9 < 30
* x < 39
Find sin 90° + cos 360° + tan 0°
Answer:
2
Step-by-step explanation:
sin 90 is 1;
cos 360 is cos 0, or 1; and
tan 0 is 0.
Thus, sin 90° + cos 360° + tan 0° = 1 + 1 + 0 = 2
At a glass vase factory, 2 out of the last 10 vases produced were chipped. What is the experimental probability that the next vase will be chipped?
Answer:
there is a 20% chance that a vase will be cracked
Step-by-step explanation:
Answer:
2/10 = 1/5 = 0.2 = 20%
Step-by-step explanation:
Which graph represents y = RootIndex 3 StartRoot x EndRoot 2?.
A cube root function has the form of [tex]y = x^\frac{1}{3}[/tex]
The graph is given as:
[tex]y = \sqrt[3]{x}[/tex]
Rewrite the function as:
[tex]y = x^\frac{1}{3}[/tex]
The above function is the parent function of a cube root function, and it passes through point (0,0).
See attachment for the graph of function [tex]y = \sqrt[3]{x}[/tex]
Read more about cube root functions at:
https://brainly.com/question/13793603
Answer: d on edge
Step-by-step explanation:
d
At a school, 40% of the sixth-grade students said that hip-hop is their favorite kind of music. If 100 sixth-grade students prefer hip hop music, how many sixth-grade students are at the school? Explain or show your reasoning.
Answer:
250 because 250 times .4 equals 100
Step-by-step explanation:
The quadratic function g(x)=ax^2+bx+c has the complex roots (-5+9i) and (-5-9i).
What is the value of a?
What is the value of b?
What is the value of c?
Answer:
I don't know sorry
Prism A and Prism B have the same volume. Which could be the dimensions of Prism B?
Prism A:
length = 8 feet
width = 4 feet
height = 5 feet Prism B:
length=? feet
width=? feet
height=? feet
Answer:
length = 20 ftwidth = 20 ftheight = 0.4 ftStep-by-step explanation:
The volume of Prism A is ...
V = LWH
V = (8 ft)(4 ft)(5 f) = 160 ft³
Any set of dimensions that have a product of 160 ft³ will give a prism with the same volume. You could have, for example, ...
length = 20 ft
width = 20 ft
height = 0.4 ft
Step-by-step explanation:
We know that
Volume of prism = lwh
=> 8 × 4 × 5
=> 32 × 5
=> 160 ft³
So,
The possible length, height and width could be
Length = 10 ft
Breadth = 8 ft
Height = 2 ft
A large university accepts 60% of the students who apply. Of the students the university accepts, 45% actually enroll. If 30,000 students apply, how many actually enroll?
________ students would actually enroll. (Type a whole number)
Answer:
4,500 hope this help
Step-by-step explanation:
PLEASE HELP TEST DUE SOON⚠️
What is the equation for the line in slope intercept form
Answer:
The answer should be [tex]y=mx+b[/tex]
Step-by-step explanation:
[tex]y=mx+b[/tex] is the only thing I can think of when your talking about the equation of the line in intercept form, but I'm 85% sure this is correct.
Hope this helps!
Can you mark me brainliest?
Have a great day/night/afternoon!
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what are the coordinates of the circumcenter of this triangle
Answer:
We can find circumcenter by using the circumcenter of a triangle formula, where the location of the circumcenter is O(x,y) and the coordinates of a triangle are given as A(x1,y1),B(x2,y2) and C(x3,y3) A ( x 1 , y 1 ) , B ( x 2 , y 2 ) a n d C ( x 3 , y 3 ) .
Step-by-step explanation:
a water truck is filling a swimming pool
The cost of a bottle of water is (w – 1) cents.
The cost of a bottle of milk is (2w – 11) cents.
A certain number of bottles of water costs $4.80.
The same number of bottles of milk costs $7.80 .
Find the value of w
Answer:
w= 25
Step-by-step explanation:
Cost of water= (w -1)¢
Cost of milk= (2w -11)¢
Let the certain number be x.
x(w -1)¢= 480¢ -----(1)
x(2w -11)¢= 780¢ -----(2)
From (1):
wx -x= 480 -----(3)
From (2):
2wx -11x= 780 -----(4)
(3) ×2:
2wx -2x= 960 -----(5)
(5) -(4):
(2wx -2x) -(2wx -11x)= 960 -780
Expand:
2wx -2x -2wx +11x= 180
9x= 180
Divide both sides by 9:
x= 180 ÷9
x= 20
Substitute x= 20 into (3):
w(20) -20= 480
20w -20= 480
20w= 480 +20
20w= 500
w= 500 ÷20
w= 25