Answer:
[tex]\Longrightarrow: \boxed{\sf{x=-\dfrac{11}{30} }}[/tex]
Step-by-step explanation:
Isolate the term of x from one side of the equation.
-3/2x-3/4=-1/5First, add by 3/4 from both sides.
[tex]\sf{-\dfrac{3}{2}x-\dfrac{3}{4}+\dfrac{3}{4}=-\dfrac{1}{5}+\dfrac{3}{4} }[/tex]
Solve.
⇒ = -3/2x=11/20
Then, you multiply by 2 from both sides.
2(-3/2x)=11*2/20
Solve.
11*2/20
11*2=22
22/20
Common factor of 2.
11/10
-3x=11/10
Divide by -3 from both sides.
[tex]\sf{\dfrac{-3x}{-3}=\dfrac{\dfrac{11}{10}}{-3}}[/tex]
Solve.
[tex]\Longrightarrow:\boxed{\sf{x=-\dfrac{11}{30} }}[/tex]
Therefore, the correct answer is D. x=-11/30.I hope this helps! Let me know if you have any questions.
Someone, please help me! I will give Brainliest!
Identify the key features of the parabola, 8(y + 4) = (x + 1)2:
Axis of Symmetry:
Vertex:
Focus:
Directrix:
Answer:
Step-by-step explanation:
8(y+4)=2(x+1)
divide by 8 y+4=1/4x+1/4 subtract 4 y=1/4x - 3 3/4 multiply by 4 y=1/4(x-15)
Answers:
Equation in standard form: [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex]
Axis of Symmetry: x = -1
Vertex: (-1, -4)
Focus: (-1, -2)
Directrix: y = -6
Step-by-step explanation:
First, let's clean up some of the mess with the equation that we have been given in this question and put it in standard form so that we can find the features we've been asked to give.
Our initial equation is: [tex]8(y+4)=(x+1)^{2}[/tex]
In order to put our equation in standard form, we must isolate y, so that it is in terms of y.
First, we need to divide both sides by 8. When we do this, we get [tex]y+4=\frac{(x+1)^{2} }{8}[/tex] or [tex]y+4=\frac{1}{8}(x+1)^{2}[/tex]. Then we need to subtract 4 from both sides to get: [tex]y = \frac{1}{8}(x+1)^{2} -4[/tex].
Now, we can start to find the features of the parabola. Remember, the standard form of equations involving parabolas is [tex]y=a(x-h)+k[/tex] where [tex]a =\frac{1}{4p}[/tex].
The axis of symmetry is at [tex]x=h[/tex], in this case [tex]h=-1[/tex] so the axis of symmetry is [tex]x=-1[/tex].
The vertex is located at [tex](h, k)[/tex]. As we previously stated [tex]h=-1[/tex], but additionally, [tex]k=-4[/tex] making the vertex located at [tex](-1,-4)[/tex].
The focus is located at [tex](h, k+p)[/tex] and the directrix is located at [tex]y=k-p[/tex]. For this, we need to find p which we can find with the equation [tex]a =\frac{1}{4p}[/tex]. Substituting the value of “a” into the equation, we get [tex]\frac{1}{8} = \frac{1}{4p}[/tex]. We can cross-multiply to get the equation [tex]4p=8[/tex]. Dividing by 4 on both sides, we get [tex]p=2[/tex]. Now we can find the focus and directrix.
The focus is located at [tex](-1, [-4+2])[/tex] or [tex](-1,-2)[/tex] and the directrix is represented by the equation [tex]y=(-4-2)[/tex] or [tex]y=-6[/tex].
Hopefully this answered your question this time, and with this, I hope you are able to solve it without help the next time
What is the similarity statement that goes with the image, sorry I couldn't find the symbols.
white up pointing triangle S T R tilde white up pointing triangle S Q R
white up pointing triangle S T R tilde white up pointing triangle T Q R
white up pointing triangle S T R tilde white up pointing triangle R T Q
white up pointing triangle S T R tilde white up pointing triangle R S T
Answer: Option (3)
Step-by-step explanation:
If secθ = -6.743, find the two values of θ
between 0° and 360°. Round your answers to one
decimal place.
Answer:
Θ ≈ 98.5° , 261.5°
Step-by-step explanation:
using the identity
cosΘ = [tex]\frac{1}{sec0}[/tex] , then
cosΘ = [tex]\frac{1}{-6.743}[/tex] ≈ - 0.1483
since cosΘ < 0 then Θ is in 2nd and 3rd quadrants
Θ = [tex]cos^{-1}[/tex] (- 0.1483) ≈ 98.5° ← in 2nd quadrant
related acute angle = 180° - 98.5° = 81.5° , then
Θ = 180° + 81.5° = 261.5° ← in 3rd quadrant
Please help!! Will mark brainlyest.
solve 7^x-2 =30.
Type the correct answer in the box. Round your answer to three decimal places.
X=
Answer:
x = 3.748
Step-by-step explanation:
this problem requires logs
[tex]log_{7} 30 = x-2[/tex]
x = 2 + log_7 (30) or 3.7479
What is the additive inverse of the polynomial –9xy2 6x2y – 5x3? –9xy2 – 6x2y 5x3 –9xy2 – 6x2y – 5x3 9xy2 6x2y 5x3 9xy2 – 6x2y 5x3
The additive inverse of the given polynomial is
-f(x,y)=-9xy^2+6x^2y-5x^3
You have the polynomial f(x,y)=-9xy^2+6x^2y-5x^3.
What is the additive inverse of a polynomial?Additive inverse means changing the sign of the number and adding it to the original number to get an answer equal to 0.
The additive inverse of a polynomial f(x,y) is a polynomial that makes zero when it is added to polynomial f(x,y).
So additive inverse of polynomial f(x,y) will be -f(x,y).
Thus, the additive inverse will be
-f(x,y)=-9xy^2+6x^2y-5x^3
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Answer:
D
Step-by-step explanation:
Need help 10 points
Answer:
The answer is B :)
Step-by-step explanation:
The closed dot means less than or equal to. That is why b is correct :)
Have an amazing day!!
Please rate and mark brainliest!!
Answer:
no a, is the answer not b. salamat po
A right rectangular prism has a square base, with sides that are each 2 meters in length. The height of the prism is 34 meters. Find the volume of the prism in cubic meters
Answer:
136m
Step-by-step explanation:
The formula for the volume of a rectangular prism is V = L · W · H
We can take the given values and multiply them to find our answer.
L = 2
W = 2
H = 34
2x2x34 = 136
The volume of the rectangular prism will be 136 cubic meters.
What is a rectangular prism?A rectangular prism is a solid three-dimensional shape with six faces and rectangular bases. A rectangular prism is also a cuboid. A cuboid and a rectangular prism have the same cross-section.
Given that a right rectangular prism has a square base, with sides that are each 2 meters in length. The height of the prism is 34 meters.
The formula for the volume of a rectangular prism is V = L · W · H
We can take the given values and multiply them to find our answer.
L = 2
W = 2
H = 34
The volume of the prism will be calculated as,
V = 2x2x34
V = 136 cubic meters
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Select all the statements that are true. Explain your reasoning
4−2(3+7)=4−2⋅3−2⋅7
4−2(3+7)=4+−2⋅3+−2⋅7
4−2(3+7)=4−2⋅3+2⋅7
4−2(3+7)=4−(2⋅3+2⋅7)
Answer:
First and second are both true.
Third and fourth are not true.
Step-by-step explanation:
4−2(3+7)=4−2⋅3−2⋅7
4−2(3+7)= 4 - 2(3+7) [ -2*3 - 2*7 : the -2 can be removed from -2*3-2*7 to make -2(3 + 7); communative] This results in 4-2(3+7), the same on the left side
4−2(3+7)=4+−2⋅3+−2⋅7
The (4+-2*3+-2*7) can be written as (4-2*3-2*7) to simplify the "-+" to simply "-". That can be written as 4 - 2(3+7), the same as on the left side.
4−2(3+7)=4−2⋅3+2⋅7
The right side, 4-2*3+2*7, can be written as 4-2(3-7), which is NOT the same as on the left.4−2(3+7)=4−(2⋅3+2⋅7)
The right side can be written as 4-2(3-7), which is not the same as on the left side.Tanvi received a large box of chocolates for Valentine's Day, and about 30% of the chocolates have a
caramel filling. Tanvi took out 2 to eat for dessert. How likely is it that at least 1 has a caramel filling?
Tanvi simulates the situation by creating a spinner with 3 white sections and 7 red sections. She spins
the spinner 2 times. Each time the spinner lands on a white section, it represents a chocolate with a
caramel filling. Tanvi records the results by writing "W" when it lands on a white section and "R" when it lands on a red
section. Here are the results of 20 trials:
RR RR RR RW RR
WR
RR
WR
RR
RW
RR
WR RR
RW RR
RW
I RW RR RR
WR
Based on Tanvi's results, what is the probability that at least 1 of the chocolates has a caramel filling?
Answer:
45%
Step-by-step explanation:
In Tanvi's simulation, landing on a white section represents a chocolate with a caramel filling. Tanvi records 20 trials, and the spinner lands on at least 1 white section in 9 of them. So, the probability that at least 1 of the chocolates has a caramel filling is
9
20
Convert
9
20
to a percent. Write an equivalent fraction with 100 as the denominator.
9
20
=
95
205
=
45
100
Based on Tanvi's results, the probability that at least 1 of the chocolates has a caramel filling is 45%.
Mr. Blue's first year salary is $30,000 and it doubles each year. What is the explicit rule for the sequence in simplified form?
Question 3 options:
an = 30,000(2)n
an = 29,500(2)n−1
an = 30,000(2)n−1
an = 30,000(0. 5)n+1
Answer:
an = 30000 * 2^(n-1)
Step-by-step explanation:
The explicit rule of Mr. Blue 's salary
is an = 30000 * 2^(n-1)
How to determine the explicit
How to determine the explicitformula?
Mr. Blue's salary is a geometric sequence
with the following parameters:
First term, a1 = 30000
Rate, r = 2
The explicit rule is calculated as:
an = a1* r^(n-1)
This gives
an = 30000 * 2^(n-1)
(1,-5) is on the graph of f(x), find the corresponding point for the function f(x)-1
Answer:
(5,-1)
Step-by-step explanation:
rotate the point
Nicholas is 12 years old and he has collected 459 trading cards. Phillip is 14 years old and he has collected 721 trading cards. How many more cards does Phillip have than Nicholas?
Phillip has _____
more cards than Nicholas.
Answer: Phillip has 262 more cards than Nicholas
Step-by-step explanation:
Since we are looking for how many more cards Phillip has compared to Nicholas we can subtract Nicholas' amount from Phillip's amount to see how much more he has.
721-459=262
Taking a simple difference, we can see that Phillip has _262_
more cards than Nicholas.
How many more cards does Phillip have than Nicholas?To find this, we need to take the difference between the number of cards that Philip has and the number of cards that Nicholas has, so we just need to solve a subtraction:
Phillip's cards - Nicholas' cards
Where:
Phillip's cards = 721
Nicholas' cards = 459
Then the difference is:
721 - 459 = 262
So we can see that Phillip has 262 more cards than Nicholas.
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VERY EASY ITS FOR MY COUSIN AND I CANT FIGURE IT OUT NEITHER CAN SHE
A construction team builds a brick wall in 2 weeks. At the end of the
first week, the wall is 3.6 meters high. During the second week, the
team makes the wall 2.25 meters higher. The final height of the wall is
1.3 times the originally planned height.
How tall was the wall originally going to be?
Answer:
4.5 meters high
Step-by-step explanation:
3.6 + 2.25 = 5.85. 5.85 divided by 1.3 is 4.5.
Imani earned $48 in interest after two years on an account that paid 8% simple interest annually. Use the formula I = Prt to find Imaríi's principal balance.
$30.00
$76.80
$300.00
$768.00
Answer:
I=$48
t=2 years
r=8%
Principal=(I×100)/(t×r)
($48×100)/(2×8)
$4800/16
$300
The perimeter of a square notepad is 124 centimeters. How long is each side?
Answer:
31 Centimeters
Step-by-step explanation:
Since a square has 4 equal sides, each side will be the same in measurement. Therefore, we take our total (124 centimeters) and divide it into 4.
124 / 4 = 31
help im stuck on this question
Answer:
The answer is C. The frequency is 15 more than expected.
Step-by-step explanation:
A dice has 1-6. There are 3 odd numbers and 3 even numbers. So a 50% chance of landing an even number. Since you rolled 30 times and got 18 even then more than half of 30 times.
Which term is defined as two intersecting lines that form four right angles in a plane?.
Answer:
Perpendicular.
Step-by-step explanation:
Two lines that come together and form 4 angles are known as perpendicular lines.
A spinner with 8 equally sized slices has 8 yellow slices. The dial spun and stops on a slice at random. What is the probability that the dial stops on a yellow slice? Write your answer as a fraction in the simplest form.
Isabelle runs a restaurant that offers a children's menu. This past week, 20 children ate at her restaurant, and 8 of them ordered grilled cheese. What is the probability that a randomly selected child eating in Isabelle's restaurant this past week ordered grilled cheese?
Write your answer as a fraction or whole number
If the area of this rectangle is 55 square units, what is the perimeter. Help asap
Answer:
32 unit is your correct answer
Answer:
Step-by-step explanation:
the answer is 32
The range of which function is (2, infinity)? y = 2x y = 2(5x) y = 5x 2 y = 5x 2
The function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.
What is range of function?Range of a function is the set of all the possible output values which are valid for that function.
The function whose range is (2, ∞) has to be find out.
The first function given in the problem is,
[tex]y=2^x[/tex]
This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.
The second function given in the problem is,
[tex]y=2(5)^x[/tex]
This function has the periodic function with period of logarithmic function and the range of this function is all the real number. This is not the correct option.
The fourth function given in the problem is,
[tex]y=(5)^x+2[/tex]
This function is translated 5 units up to the function 5ˣ which has the range (0,∞).
Thus, the range of this function is (2, ∞).
Hence, the function which has range (2, infinity) from the provided function is y = 5ˣ +2. Option 4 is correct.
Learn more about range of the function here;
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Answer:
D ) y = 5^x + 2
Step-by-step explanation:
Here ya go ladies and gentlemen
help me out and please provide steps
Answer:
3(x+2)/(2(x+4))
Step-by-step explanation:
A compound fraction is simplified by rewriting it as a simple fraction, and reducing it to lowest terms by cancelling common factors from numerator and denominator. The division of one fraction by another is accomplished in the usual way: multiply the numerator by the inverse of the denominator.
__
[tex]\dfrac{\left(\dfrac{6x^2-24}{x^2+7x+12}\right)}{\left(\dfrac{4x^2-4x-8}{x^2+4x+3}\right)}=\left(\dfrac{6x^2-24}{x^2+7x+12}\right)\times\left(\dfrac{x^2+4x+3}{4x^2-4x-8}\right)\\\\=\dfrac{6(x-2)(x+2)}{(x+3)(x+4)}\times\dfrac{(x+1)(x+3)}{4(x-2)(x+1)}=\dfrac{3(x-2)(x+1)(x+2)(x+3)}{2(x-2)(x+1)(x+3)(x+4)}\\\\=\boxed{\dfrac{3(x+2)}{2(x+4)}}[/tex]
What are the missing measures for E and J???
Are the triangles similar? Yes or no?
Answer:
No
Step-by-step explanation:
To tell whether two triangles are similar or not, we can compare their side lengths or angle measures
in this case, only angle measure are given so will compare those:
m<F = m<I but this is not enough, we need to compare other angles as well
m<H is not equal to m<G
The sum of interior angles in a triangle is equal to 180
so the measure of angle J
100+55+J = 180
J = 25
The measure of angle E
100+35+E = 180
E = 45
Now, neither of these angles are equal to each other so we can conclude that these triangles are not similar.
A system of equations has no solution. if y = 8x 7 is one of the equations, which could be the other equation? 2y = 16x 14 y = 8x – 7 y = –8x 7 2y = −16x − 14
A system of equations has no solution. if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.
What is the system of two equations?A set of two linear equations with two variables is called a system of linear equations. They create a system of linear equations when evaluated collectively.
The first equation is given as:
y = 8x + 7
The equations in the system would have different constant values if the system of equations had no solution.
y=8x+b
Where:
b is a variable that is not equal to 7.
The equation whose standard form is y=ax+b has no solution. Only equation 2 satisfies the generalized form.
Hence.if y = 8x+ 7 is one of the equations, The other equation will be y = 8x - 7.
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Answer:
B
Step-by-step explanation:
A system of equations has no solution. If y = 8x + 7 is one of the equations, which could be the other equation?
2y = 16x +14
y = 8x – 7
y = –8x + 7
2y = −16x − 14
using the completing square method, what are the zeros of the quadratic function f(x) = 2x2 -3?
[tex]~~~~~2x^2 -3 =0\\\\\implies 2x^2 = 3\\\\\implies x^2 =\dfrac 32\\\\\implies x = \pm\sqrt{\dfrac 32 }[/tex]
A standard deck of playing cards is shuffled and three people each choose a card. Find the probability that the first two cards chosen are diamonds and the third card is black if the cards are chosen without replacement.
Answer:
don't worry about this question
daniel is going to melt some wax and pour it into a mold shaped like the cone shown below
which is the closest volume to the cone
A.75in^3
B.226in^3
C.151in^3
D.301in^3
Answer:
A. 75 in³
Step-by-step explanation:
[tex]volume = \frac{1}{3} \times \pi \: {r}^{2} \: h = \frac{1}{3} \times \pi \times { 3}^{2} \times 8 = 75.4[/tex]
What is the mean of the set of data?
25.2, 26.4, 28.7, 25.5
Check the picture below.
what is 0.24x2.412 step by step
Answer:
0.57888
Step-by-step explanation:
0.24
2.412
----------
0.57888
Hope I helped