what is the inequality shown
Answer:
-2 ≤ x < 8
Step-by-step explanation:
Shaded in circle above the number means greater/less than or equal to.
In this instance, -2
Non-shaded in circle above the number means greater/less than.
In this instance, 8
The line between the two circles is where any number (x) could be.
Between -2 and 8, so -2 ≤ x < 8
What is the slope of the original line?
what does 10.44 x 2.5 equal?
Answer:
26.1
Step-by-step explanation:
Through simple multiplication, the answer of 10.44 * 2.5 is 26.1
10.44
x 2.5
----------
26.1
draw a triangle ABC with vertices A(4,2), B(3,5)and C(6,5) on a graph paper. Reflect it on X=Y and show the image on the same graph paper.
Answer:
not sure if its correct but let me know if its incorrect
thank you !
What is the resulting equation when the expression for y in the second equation is substituted into the first equation?
3x + y = 1
y=6 - 4x
Ox+6y=1
Ox+6=1
Ox -X + 6 = 1
7X+6=1
Hello!
Let's solve this question with the information given to us in the question.
We were given two equations:
3x + y = 1
y = 6 - 4x
The question asks us to plug in our 2nd equation into the "y" variable of the first equation.
Plug in and solve:
3x + y = 1
Substitute "6 - 4x" for y
3x + 6 - 4x = 1
Simplify
-x + 6 = 1
Therefore, your answer would be the -x + 6 = 1 choice in your answer box.
Answer: -x + 6 = 1
HELP PLEASE. Check picture. I have tried but cannot seem to get it.
Answer:
[tex]884^{-7}[/tex]
Step-by-step explanation:
Start by simplifying the denominator of the fraction. When multiplying exponents of the same base, you can add the exponents. This is also known as the product rule.
[tex]a^x\cdot a^y=a^{x+y}[/tex]
["a" is the base, and "x" and "y" are the exponents]
Using this we find...
[tex]884^{58}\cdot884^{46}=884^{58+46}=884^{104}[/tex]
When dividing exponents of the same base, you can subtract the exponents. This is also knows as the quotient rule.
[tex]a^x\div a^y=a^{x-y}[/tex]
Using this we find...
[tex]\frac{884^{97}}{884^{104}}=884^{97-104}=884^{-7}[/tex]
Answer:
[tex]884^{-7[/tex]
Step-by-step explanation:
≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Before we begin solving, let's review a few rules of exponents.
If an exponent is multiplying with another exponent and their bases are the same, you can simply add the exponents.If an exponent is dividing with another exponent and their bases are the same, you can simply subtract the exponents.≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
⇒ [tex]\dfrac{884^{97} }{884^{58} \times 884^{46} }[/tex]⇒ [tex]\dfrac{884^{97} }{884^{58 + 46}}[/tex] [#1]⇒ [tex]\dfrac{884^{97} }{884^{104}}[/tex]⇒ [tex]884^{97 - 104[/tex] [#2]⇒ [tex]\boxed{884^{-7}}[/tex]≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡≡
Help me Please?
I will give brainliest to the first one that answers
This is my algebra 1 and i dont understand it
Answer:
f(9.5) = 558.02.
Step-by-step explanation:
Because it is an exponential function, it can be written: y = (a)(b)^x
Now substitute in the two known points:
72 = (a)(b)^7.5 and
2 = (a)(b)^4 : => since 2 = (a)(b)^2 divide the left side by 2 and the right by (a)(b)^2
72/2 =[(a)(b)^7.5]/[(a)(b)^4]: => the (a) cancels out and b becomes b^(7.5–4)
36 = b^3.5: => To isolate b take the 3.5 root of both sides
{3.5 root}(36) = {3.5 root}(b^3.5)
2.783927 = b
Now to solve for a
2 = (a)(b)^4 => 2 = (a)(2.783927)^4 => 2 = (a)(60.066375) divide both sides by 60.066375 0.0332965 = a
Equation: y = (0.0332965)(2.783927)^x
Now plug in 9.5 for x
(0.0332965)(2.783927)^9.5 = 558.0178525 = 558.02
Please help!
what polynomial must be added to
−5x^3 + 4x − 3 so that the sum is x^2 − x − 1?
Let the number to be added be A
Now,
[tex]\begin{gathered}\implies\quad \sf −5x^3 + 4x − 3 + A = x^2 − x − 1 \\\end{gathered} [/tex]
Transposing (−5x³+ 4x − 3 ) to other side-
[tex]\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 -( −5x^3 + 4x − 3) \\\end{gathered} [/tex]
Remember if there is a -ve sign before a bracket the signs of whole of the terms changes on opening bracket
[tex]\begin{gathered}\\\implies\quad \sf A = x^2 − x − 1 + 5x^3 - 4x + 3\\\end{gathered} [/tex]
Putting like terms together -
[tex]\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 - x -4x +3 -1 \\\end{gathered} [/tex]
[tex]\begin{gathered}\\\implies\quad \sf A = 5x^3 +x^2 -5x +2 \\\end{gathered} [/tex]
[tex]\longrightarrow[/tex]Therefore, 5x³+x²-5x +2 should be added to −5x³+ 4x − 3 to get x²− x − 1
Help!! I'm stuck on these questions..
Answer:
65 degrees
Step-by-step explanation:
A property of a parallelogram is that opposite angles are congruent. opposite angle S is and angle that is 65 degrees, therefore angle S is 65 degrees
How many students are in Mr. Gatlin’s class?How did you know? Justify your reasoning..
Answer:
where is the full question?
Step-by-step explanation:
Mrs. smith has 5 times as many markers and colored pencils is 54.How many markers does mrs. smith have
Answer:
The answer is 270
Step-by-step explanation:
5×54=270
please help me? it is school related i promise
Answer:
$96.25
Step-by-step explanation:
In the morning, this worker was in for a total of 4 hours. Since the wage is $11/hr, we have to multiply 4 by 11.
11 * 4 = 44
In the afternoon, they worked for 4 hours and 45 minutes. Now, we have to multiply 4 3/4 (which is the fraction form of 4 hours and 45 mins) by 11.
11 * 4 3/4 = 52.25
Now, to find the total pay, we add together both the morning and afternoon pays.
44 + 52.25 = 96.25
Therefore, the total pay is $96.25
I hope this helps!! Have a lovely day!! :)
Answer:
$96.25
Step-by-step explanation:
Hours worked in the morning = 12:00 - 8:00
= 4 hours
Hours worked in the afternoon = 17:30 - 12:45
= 4 hours 45 minutes
Total hours worked = 4:00 + 4:45
= 8 hours 45 minutes
[tex]=8\dfrac{45}{60} \ hours\\\\= 8\dfrac{3}{4}\\\\\\= \dfrac{35}{4} hours[/tex]
Wage = [tex]\dfrac{35}{4}*11[/tex]
= $96.25
if TSA of cuboid box is 486 cmsquare find its volume
Answer:
It has 6 faces, So, each face has an area = 486/6 = 81 sq cm. Side of the cube =√81= 9 cm. Hence, volume of the cube = 9^3 = 729 cm^3.Jul 18, 2019
Step-by-step explanation:
Hope it's help
There's a mistake in your question it's not T.S.A of cuboid it is T.S.A of cube . Because it's not possible to find the length , breadth and height of cuboid without giving only it's Total Surface Area .
Question : -If TSA of cube box is 486 cm square , find its volume .
Given : -Total Surface Area ( T.S.A ) of cube is equal to 486 cm square .To Find : -Volume of cubeConcept : -For solving such types of questions we must have knowledge of faces of shapes and formula for surface areas and volumes of three dimensional shapes .
Formula Used : -Area of square = side²Volume of cube = a³Solving Question : -We know that cube have 6 faces . So area of each faces is equal to :
[tex] \rightarrow \: \cancel\frac{486}{6} \: cm \: sq.[/tex]
Now , dividing 486 by 6 :
[tex] \rightarrow \: 81 \: cm \: sq.[/tex]
Therefore , each square faces of cuboid have area of 81 cm square .
Now , We know that area of square :
Side ²s² = 81s = √81s = 9 cmTherefore , side/edge of cube is of 9 cm ..
Now , finding volume of cube :
We know that volume of cube is equal to ,
a³9³9 × 9 × 981 × 9729 cm³Therefore , volume of cube is 729 cm³ .
#Keep LearningA mom shared $490 between her 2 daughters in the ratio of 4 : 3 respectively. Calculate how much money is the larger share?
Step-by-step explanation:
let ratio be 4x and 3x
sum : 490$
4x+3x = 490
7x=490
x=490/7
Hence x = 70
first daughter gets = 4x =4 x 70 = 280
second daughter gets =3x = 3x 70 = 210
first daugter gets the larger share
*HELP ASAP I WILL GIVE U BRAINLEAST* (20 POINTS)
You have inherited $8000 from your grandfather. Knowing that you will soon be going to college you decide to invest your money into an account that has an 8% interest rate that is compounded quarterly. How much money will you have in your account after 5 years?
a) Exponential growth or decay:
b) Identify the initial amount:
c) Identify the growth/decay factor:
d) Write an exponential function to model the situation:
e) “Do” the problem:
Answer:
a) exponential growth b) 8000 c) 1.02 d) f(x) = 8000(1+.05/4)^(4)(5) e) $11887.58
Step-by-step explanation:
This situation is exponential growth because the money will be increasing over time. The initial amount is the amount invested in the beginning so in this case 8000. The growth factor is found by 1+r/n where r is the rate and n is the number of compounds per year so 1 + .08/4 where the r is expressed as a decimal and compounding quarterly means 4 times per year. The function is modeled by f(x) = P(1 +r/n)^nt. Evaluating the function gives f(x) = 8000(1 + .08/4)^(4*5).
A ball is dropped from a height of 9 m. Each time it strikes the ground it bounces vertically to a height that is 2/3 of the preceding height. Find the total distance the ball will travel if it is assumed to bounce infinitely often. show all work.
Answer:
The answer i 9
Step-by-step explanation:
If the ball bounces 2/3 of the height of 9, and a 1/3 of 9 is 3, then 6 is the answer.
This figure represents a ramp for a dollhouse that is being covered with fabric on all sides. How much fabric is needed to cover the ramp? 144 cm² 138 cm² 110 cm² 66 cm²
Answer: 144 cm^2
Step-by-step explanation:
i did the quiz
Answer:
144 cm²
Step-by-step explanation:
I took the K12 test
the following set of coordinates represent which figure (1,1) (5,3) (7,7) (3,5)
rectangle
rhombus
parallelogram
square
Answer:
It should be a rhombus :)
Help me on this question please!
[tex]\huge\fcolorbox{blue}{red}{Answer}[/tex]
════════════════════
[tex]\frac{ x }{ 3 } +6-2x=-6[/tex]
[tex]x+18-6x=-18 [/tex]
[tex]-5x+18=-18 [/tex]
[tex]-5x=-18-18 [/tex]
[tex]-5x=-36 [/tex]
[tex]x=\frac{-36}{-5} [/tex]
[tex]x=\frac{36}{5} [/tex]
[tex]= 7 \frac{1}{5}[/tex]
[tex]= 7.2[/tex]
So the answer is [tex]x = 7.2[/tex] or [tex]= 7.2[/tex]
══════════════════════
Step-by-step explanation:
#Carry on learning
Which expression converts startfraction pi over 4 endfraction radians to degrees?
Using the degree and radian relation π/4 radian equals 45°.
Given angle =π/4 radian
What is the relation between radian and a degree?π radian equals 180 degrees means 1 radian equals 180/π degree or we can say 1-degree equals π/180 radian.
Since, 1 radian equals 180/π degree.
So, π/4 radian =180/π * π/4 degree.
π/4 radian = 45°.
So, π/4 radian equals 45°.
Therefore, using the degree and radian relation π/4 radian equals 45°.
To get more about angles visit:
https://brainly.com/question/25770607
please help i need the answer to this question -5x-48=-7(x+8)
Find the inverse of the function, no solutions doesn't work and things like sqrt(9-x^2) doesn't either.
Answer:
The range of [tex]f(x)[/tex] is [tex]f(x)\in[0,3][/tex]
[tex]f^{-1}(x)=-\sqrt{-x^2+9}[/tex] with a domain [tex]x\in[0,3][/tex]
Step-by-step explanation:
Domain: set of input values (x-values)
Range: set of output values (y-values)
Given function:
[tex]f(x)=\sqrt{9-x^2}\quad(x\in[-3,0])[/tex]
Therefore, as the original function has a restricted domain, its range is also restricted:
[tex]f(-3)=\sqrt{9-(-3)^2}=0[/tex]
[tex]f(0)=\sqrt{9-0}=3[/tex]
[tex]\therefore\textsf{Range}\:f(x)\in[0,3][/tex]
To determine the inverse of a function
Change [tex]x[/tex] to [tex]y[/tex]:
[tex]\implies x=\sqrt{9-y^2}[/tex]
Square both sides:
[tex]\implies x^2=9-y^2[/tex]
Switch sides:
[tex]\implies 9-y^2=x^2[/tex]
Subtract 9 from both sides:
[tex]\implies -y^2=x^2-9[/tex]
Divide both sides by -1:
[tex]\implies y^2=-x^2+9[/tex]
Therefore:
[tex]\implies y=\sqrt{-x^2+9}\textsf{ and }y=-\sqrt{-x^2+9}[/tex]
As the range of the inverse function is the same as the domain of the original function:
[tex]\implies f^{-1}(x)=-\sqrt{-x^2+9}[/tex] only as the range is [-3, 0]
The domain of the inverse function is the same as the range of the original function.
[tex]\therefore\textsf{Domain of}\:f^{-1}(x):x \in [0,3][/tex]
The inverse of a function is ordinarily the reflection of the original function in the line [tex]y=x[/tex].
**Please see attached graph**
How can you decompose the composite figure to determine its area? as two semicircles and a rectangle as two circles and a rectangle as a circle and a square as two semicircles and a trapezoid.
The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.
What is an area?Area is the amount of space occupied by a two dimensional shape or object.
The area of a composite figure can be decomposed to smaller figures so as to find the area.
The composite figure can be decomposed to two semicircles and a rectangle so as to find the area.
Find out more on area at: https://brainly.com/question/25292087
Answer:
A. as two semicircles and a rectangle
Step-by-step explanation:
i did it
Find the side labeled x. State your answer rounded to 5 decimal places.
HELPPPPPP
Find the area of the figure
Answer:
C. 418 cm²
Step-by-step explanation:
Rectangle
= s × s
= 19 × 19
= 361 cm²
Triangle
= 1/2 × 6 × 19
= 57 cm²
361 + 57 = 418 cm²
So, therefore your answer is 418 cm²
Use an equation to solve.
What is 60% of 400?
Answer:
240 :)
Step-by-step explanation:
400 x 0.60 = 240
Have a great day!
Please rate and mark brainliest!!
Answer:
240
Step-by-step explanation:
help please.. write the equation of the blue line using slope-intercept form (y=mx+b)
y = mx + p
p = - 7 since the line cuts the y-axis in -7
and m the slope ?
we choose 2 points (-2 ; 0) and (0 ; - 7)
we move of 2 units towards the left to go down of 7 units
=> m = - 7/2
y = - 7/2x - 7
or
y = -3,5x - 7
Kim bought $100 worth of stock and gained $25 per year. Ari bought $400 worth of stock and lost $35 per year. Use x for time and y for stock value. Graph the equations that represent each situation. The first one is done for you. When did Kim and Ari have the same amount of stock value? After _____ years.
(I WILL MARK YOU AS BRAINLIEST! PLEASE PLEASE HELP! THANK YOU <3)
Answer:
5 years
Step-by-step explanation:
by year five they both had the same amount
400-35=365
do that 5 times
225
100+25=125
do that 5 times
225
What is the length of a line segment with endpoints 3, 2, and -3, -4, in
the simplest radical form
[tex] \qquad \qquad \qquad\large\overbrace{\underbrace{\underline{ \boxed{ \sf \:Answer }}}}[/tex]
Let's use distance formula :
[tex]\qquad \sf \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{(3 - ( - 3)) {}^{2} + (2 - ( - 4)) {}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {6}^{2} + {6}^{2} } [/tex]
[tex]\qquad \sf \dashrightarrow \: \sqrt{ {6}^{2}(1 + 1) } [/tex]
[tex]\qquad \sf \dashrightarrow \: 6\sqrt{ 2 } \: \: units[/tex]
given f(x) = -x^2+x, find f(-1)
Answer:
f(-1)=0
Step-by-step explanation:
[tex]f(x) = -x^2+x\\\\Now,\\\\f(-1)=-(1)^{2} +(-1)\\\\f(-1)=1-1\\\\f(-1)=0[/tex]
Answer:
-2
Step-by-step explanation:
Since they said f(-1) we know that x = -1
So we plug in -1 for anything that says x
-1^2 - 1
Now we do 1^2 = 1 then mulitpy by -1
that give us -1
-1^2 = -1
-1 - 1 = -2