Answer:
How to solve your problem-
9 + 3 2 = − 1 2
Step-by-step explanation:
− 9 + 3 2 = − 1 2
9+3p2=-12
3 2 − 9 = − 1 2
∣ x + 1 − x 2 ∣ = 2 ( 2 x 2 − 1 )=
Answer:
X = 7
Step-by-step explanation:
∣ x + 1 − x 2 ∣ = 6
∣ -x + 1 ∣ = 6
-7 + 1 = -6
Absolute value of -6 is 6
x = 7
The value of x for the expression is equal to 7.
What is an expression?Expression in maths is defined as the collection of the numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The value of x is solved as,
∣ x + 1 − x 2 ∣ = 6
∣ -x + 1 ∣ = 6
-7 + 1 = -6
The absolute value of -6 is 6
x = 7
Therefore, the value of x for the expression is equal to 7.
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can someone please help me i need to show the working out too
Answer:
(1) x=15/2
(2) x=1
Step-by-step explanation:
(1) 4x−1 /2 =x+7
2x+ −1 /2 =x+7(Distribute)
2x+ −1 /2 =x+7
Step 2: Subtract x from both sides.
2x+ −1 /2 −x=x+7−x
x+ −1 /2 =7
Step 3: Add 1/2 to both sides.
x+ −1 /2 + 1 /2 =7+ 1 /2
x= 15 /2
(2) 3x+2=( 2x+13)/ 3
3x+2= 2 /3 x+ 13 /3 (Distribute)
3x+2= 2 /3 x+ 13 /3
Step 2: Subtract 2/3x from both sides.
3x+2− 2 /3 x= 2 /3 x+ 13 /3 − 2 /3 x
7 /3 x+2= 13 /3
Step 3: Subtract 2 from both sides.
7 /3 x+2−2= 13 /3 −2
7 /3 x= 7 /3
Step 4: Multiply both sides by 3/7.
( 3 /7 )*( 7 /3 x)=( 3 /7 )*( 7 /3 )
X=1
f the family decides to fly, they know that they will need a rental car for at least part of their trip. Gabriela and Luis estimate a budget of $315
$
315
for rental car expenses. One rental car company charges $55
$
55
per day and $35
$
35
in taxes and fees. They also estimate that they will spend $15
$
15
per day on gas. Gabriela wrote the equation (55d+35)+15d=315
(
55
d
+
35
)
+
15
d
=
315
to determine the number of days the family can rent a car from this company.
How many days could the Morales family rent a car if they choose this rental car company with their estimated budget?
Answer:
4 days
Step-by-step explanation:
55d+35+15d=315
70d=315-35
70d=280
d=280/70
d=4
A number more than 1.
Answer:
there is no more number than one
Step-by-step explanation:
Find the inverse function. f(x) = Vx - 1+4
Answer:
f^-1(v)=v/x-3/x
Step-by-step explanation:
The inverse of the function f(x) = [tex]\sqrt[3]{x-1} + 4[/tex] Is f⁻¹(x) = (x - 4)³ + 1.
What is a function?Each element of X receives exactly one element of Y when a function from one set to the other is used. The sets X and Y are collectively referred to as the function's domain and co-domain, respectively.
Given:
f(x) = [tex]\sqrt[3]{x-1} + 4[/tex]
y = [tex]\sqrt[3]{x-1} + 4[/tex]
Calculate the inverse of the function as shown below,
Replace x with y,
x = [tex]\sqrt[3]{y-1} + 4[/tex]
x - 4 = [tex]\sqrt[3]{y- 1}[/tex]
Cube both sides,
(x - 4)³ = y - 1
y = (x - 4)³ + 1
Thus, f⁻¹(x) = (x - 4)³ + 1
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how to simplify -5 1/4 - (-7 1/2
(hopefully I read this right)
-5 1/4 - (-7 1/2)
-5 1/4 - -7 1/2
-5 1/4 - -7 2/4
-21/4 - -30/4
-21/4 - -30/4 = 9/4 = 2 1/4
Hopefully I am correct!
find the midpoint of the line segment joining the two points (-1,-1) and (-5,4)
Answer:
(-3, 1.5)
Step-by-step explanation:
equation: M = (x1+x2)/2 , (y1+y2)/2
So, plug it in.
(-1-5)/2 , (-1+4)/2
-3 , 1.5
so, x = -3 and y = 1.5
You are going on a camping trip with your family for 3 days. You decided that you need 5 batteries for your flashlights. At the very last minute you decide to extend the trip to 9 days.
a. Set up a proportion to solve for the amount of batteries you will need for the extended trip.
b. Solve the proportion for part a
Answer:
15 batteries
Step-by-step explanation:
a. We have
5 batteries = 3 days
5 batteries/3 days = 1
5 batteries/3 days
we need to convert this to 9 days, so
x amount of batteries = 9 days
x batteries / 9 days = 1
5 batteries / 3 days = x batteries / 9 days
b.
5 batteries / 3 days = x batteries / 9 days
multiply both sides by 9 days to get rid of the denominators as well as the days variable
5 batteries * 9 days / 3 days = x batteries
5 batteries * 3 = x batteries
15 batteries = x batteries
x = 15
The proportion for the given situation is 3 : 5 :: 9 : x and 15 batteries required for 9 days trip.
What are proportions?Proportion, in general, is referred to as a part, share, or number considered in comparative relation to a whole. Proportion definition says that when two ratios are equivalent, they are in proportion. It is an equation or statement used to depict that two ratios or fractions are equal.
Let x be number of batteries required for 9 days trip.
a) So, the proportion is
3 : 5 :: 9 : x
b) Solve for x, that is
3x=45
⇒ x=15
Therefore, the number of batteries required for 9 days trip is 15.
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3
3
3
3
3
I pentagon
2 pentagons
3 pentagons
Represent the relationship using a table. Complete the table below.
Number of Perimeter,
Pentagons, X
1
Ordered
Pair (x,y)
2
3
(Simplify your answers.
The relationship between the number of pentagons and the perimeter will be
[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]
From the diagram in the question, each side of a pentagon has length [tex]3units[/tex].
Also, each time another pentagon is attached, a side is removed.
Using these observations, we can create a relationship between the number of pentagons, [tex]x[/tex], and the perimeter, [tex]y[/tex], as follows
For [tex]x=\text{number of sides}=1[/tex]
[tex]y=\text{perimeter}=3\times 5=15units[/tex]
For [tex]x=2[/tex]
[tex]y=3\times5+3\times5-1\\=15+15-1\\=29units[/tex]
For [tex]x=3[/tex]
[tex]y=3\times5+3\times5-1+3\times5-1\\=3\times5+3\times5+3\times5-1-1\\=15+15+15-2=43units[/tex]
The relationship will be
[tex]x=1,y=15,(x,y)=(1,15)\\x=2,y=29,(x,y)=(2,29)\\x=3,y=43,(x,y)=(3,43)[/tex]
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Please help!
Can someone write out an explanation for how to simplify:
[tex](4x^{-4} )^{-3}[/tex]
I'm having trouble understanding it so a step by step would be helpful!
Calculate the volume of a regular octahedron whose edges are all 10 cm (do not use the formula to find the volume)
Answer:
V≈471.4cm³
Step-by-step explanation:
V =
[tex] \frac{1}{3} \times \sqrt{2} \times {a}^{3} [/tex]
V= 471.4
Answer:
Solution :Here we have given that the all edges if octahedron are 10 cm. We need to find the volume of regular octahedron.
[tex] \rule{300}{1.5}[/tex]
As we know that the formula of volume of octahedron is :
[tex]\longrightarrow{\pmb{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]
Substituting all the given values in the formula to find the volume of regular octahedron :
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} {a}^{3}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10)}^{3}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(10 \times 10 \times 10)}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times {(1000)}}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{1}{3} \times \sqrt{2} \times 1000}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = \dfrac{ \sqrt{2} }{3} \times 1000}}}[/tex]
[tex]{\longrightarrow{\sf{Volume_{(Octahedron)} = 0.471404 \times 1000}}}[/tex]
[tex]{\longrightarrow{\sf{\underline{\underline{\red{Volume_{(Octahedron)} \approx 471.404 \: {cm}^{3}}}}}}}[/tex]
Hence, the volume of regular octahedron is 471.404 cm³.
[tex] \rule{300}{1.5}[/tex]
Paul has 0.50$ in his pocket. What fraction of a dollar does he have
Answer:
1/2
Step-by-step explanation:
Answer:
Paul has 1/2 of a dollar.
Step-by-step explanation:
A haft of a dollar is 50 cents since 1 dollar is 100 cents so the fraction simplified would be 1/2 or 50/100.
Kate took out a subsidized Stafford loan worth $9,710 to pay for college. The interest rate on the loan was 5. 9%, compounded monthly. It took Kate 5 years to pay off the loan after graduation. What portion of the total amount she paid represented the interest? a. $11,236. 22 b. $9,710. 00 c. $1,526. 22 d. $2,942. 37.
Answer:
the answer is 10,0000
Step-by-step explanation:
I need help with this Graph!
Graph a right triangle with the two points forming the hypotenuse. Using the sides, find the distance between the two points, to the nearest tenth (if necessary). (-6,3) and (3, -9)
find leg number 1 and leg number 2 and the distance
Answer:
Step-by-step explanation:
The distance between two points (-6, 3) and (3, -9) is 10.81 units.
We have a graph a right triangle with the two points A(-6,3) and B(3, -9) forming the hypotenuse.
We have find the distance between the two points using only the sides of the right triangle.
What is the formula to find the distance between the two points on Cartesian plane ?The distance between two points -
[tex]d = \sqrt {\left( {x_1 - x_2 } \right)^2 + \left( {y_1 - y_2 } \right)^2 }[/tex]
According to the question, we have -
Coordinates of Point A = (- 6, 3)
Coordinates of Point C = (3, -9)
Now -
Coordinates of Point B will be (- 6, -9) [formed by the intersection of sides].
Distance AB -[tex]AB = \sqrt {\left( {-6 - (-6) } \right)^2 + \left( {3 - (-9 } \right)^2 }[/tex] = 6 units
Distance BC -[tex]BC = \sqrt {\left( {-6 - 3 } \right)^2 + \left( {-9 - (-9 } \right)^2 }[/tex] = 9 units
Using the Pythagoras theorem -
[tex](AC)^{2} =(AB)^{2} +(BC)^{2}[/tex]
[tex](AC)^{2} =[/tex] 36 + 81
AC = [tex]\sqrt{117}[/tex] = 10.81
Hence, the distance between two points (-6, 3) and (3, -9) is 10.81 units.
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Evaluate the expression when b=-4 and y=2.
2y-b
Lucy bought a desk on sale for $883. This price was 15% less than the original price.
the answer to the question is 898$
I FORGOT TO PUT THE ANSWERS SORRY PLEASE HELP
Answer:
Step-by-step explanation:
Circumscribed means written around the outside. -scribe means writing and
think of how circumference is the distance around the outside of a circle. It is a little more special and specific...all the segments that make the triangle are tangents to the circle, that is, they only touch the circle at one point.
So the circle is inscribed-- that is, written inside of the triangle (in the same, special specific way).
Circle A is inscribed in triangle RST.
Answer:
Inscribed
Step-by-step explanation:
What is polygon inscribe?
When a polygon is inscribed inside another polygon it is called polygon inscribe.Here Circle A is drawn inside ∆RST so it's inscribed.Find the value of x that makes △DEF∼△XYZ.
Answer:
x = 5
Step-by-step explanation:
5×2 = 10
8×2 = 16
so
2(3x-5) = 20
3x-5 = 10
3x = 15
x = 5
EASY QUESTION! MARK BRAINLIEST!
if i pay $3.50 a month how much do i pay a year? :)))
Answer:
42
Step-by-step explanation:
3.50x12 = 42
Mattie Evans drove 160 miles in the same amount of time that it took a turbo propeller plane to travel 920 miles. The speed of the plane was 190 mph faster than the speed of the car. Find the speed of the plane.
Answer:
Step-by-step explanation:
The speed of the plane was 291.13mph.
What is speed?Speed is distance travelled per unit time. It is scalar quantity
Given
The difference in distances was 600 miles; the difference in speeds was 190mph. That means the time was 600/190 = 3.16 hours.
Since the plane flew 920 miles in that time, its speed was 920/3.16 = 291.13mph.
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There are 25 students in Mr. Detwikers 1st period class. If 76% of these students complete their homework last night. How many students did their homework?
Find f(2) and f(3).
f(1) = 3
f(n) = 7f(n = 1)
Answer:
do it got a picture
on the edge2020
Step-by-step explanation:
pls help (written response pls)
Answer:
It would be Number of Hours
Step-by-step explanation:
The word Dependent Variable means a number/something that relies on something else so the word "Number" Relies and something to follow it up and in this sentence it's "number of hours"
Hope this Helps :)
Estimate the product. Round each factor to the nearest whole number, and then multiply.
0.9 × 1.084
0.10 x 2.000 = 0.2
0.9 = 0.10
1.084=2.000
WHO CAN HELP ME ON THIS? Due soon!
Please Help Question in picture
Answer:
(-3, 5.5)
Step-by-step explanation:
To find the midpoint, you add up the corresponding coordinates (x with x and y with y) and divide each by 2.
(-7+1)/2 = -3
(8+3)/2 = 5.5
Answer:
(-3,5.5)
Step-by-step explanation:
(-7,8)
(1,3)
(-7+1)/2,(8+3)/2
-3,5.5
solve for value of x in simplest radical form
Answer:
3
Step-by-step explanation:
9. GIVEN: y(x + 1) = 51; y = 3 PROVE: x = 16
Answer:
see explanation
Step-by-step explanation:
y(x + 1) = 51 ← substitute y = 3 into the equation
3(x + 1) = 51 ( divide both sides by 3 )
x + 1 = 17 ( subtract 1 from both sides )
x = 16
Given:
y(x + 1) = 51y = 3What to prove: x = 16
=> y(x + 1) = 51=> 3(x + 1) = 51=> 3x + 3 = 51=> 3x = 51 - 3=> 3x = 48=> x = 16Conclusion:We have now proved that x = 16.
Hoped this helped.
[tex]BrainiacUSer1357[/tex]
Im so confused of what to do?
if you're good at maths please help
with steps
Answer:
you need to show the number is prime
Step-by-step explanation:
To show 2^7 -1 is prime, you have to show it is not divisible by any prime less than its square root. That root is approximately 2^(7/2) = 2^3×√2 ≈ 11.3.
The primes of in that range are 2, 3, 5, 7, 11. The prime we're testing is ...
2^7 -1 = 128 -1 = 127
The sum of digits is 10, which is not a multiple of 3: not divisible by 3.
The units digit is 7, not 0 or 5: not divisible by 5.
The test for divisibility by 7 is to subtract twice the units digit from the rest of the number: 12 -2(7) = -2. This is not 0 or a multiple of 7, so 127 is not divisible by 7.
We know that 11² = 121, so 127 is not divisible by 11.
All of the tests for primality pass, so 2^7 -1 is a Mersenne prime.
_____
Additional comment
It is known that 2^n -1 being prime requires n to be prime. (The converse is not true: 2^11 -1 = 2047 = 23×89 is not prime.) The discovery of Mersenne primes is an ongoing process involving thousands of computers around the world. Only about 50 such primes are known.
You will notice that we have made use of some divisibility rules in order to simplify the process of dividing by small numbers. These can be helpful in many situations, so can be useful to learn.
Darren got 39 out of the 52 questions correct on a test. What percent of the questions did he get correct?
Answer:
75%
Step-by-step explanation:
Here are step-by-step instructions showing you how we calculated 39 out of 52 as a percentage:
The first step is to divide 39 by 52 to get the answer in decimal form:
39 / 52 = 0.7500
Then, we multiplied the answer from the first step by one hundred to get the answer as a percentage:
0.7500 * 100 = 75.00%