Answer:
y = 3/4 or y = -3/5
Step-by-step explanation:
Solve for y:
(8 y - 6) (10 y + 6) = 0
Hint: | Find the roots of each term in the product separately.
Split into two equations:
8 y - 6 = 0 or 10 y + 6 = 0
Hint: | Look at the first equation: Factor the left hand side.
Factor constant terms from the left hand side:
2 (4 y - 3) = 0 or 10 y + 6 = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
4 y - 3 = 0 or 10 y + 6 = 0
Hint: | Isolate terms with y to the left hand side.
Add 3 to both sides:
4 y = 3 or 10 y + 6 = 0
Hint: | Solve for y.
Divide both sides by 4:
y = 3/4 or 10 y + 6 = 0
Hint: | Look at the second equation: Factor the left hand side.
Factor constant terms from the left hand side:
y = 3/4 or 2 (5 y + 3) = 0
Hint: | Divide both sides by a constant to simplify the equation.
Divide both sides by 2:
y = 3/4 or 5 y + 3 = 0
Hint: | Isolate terms with y to the left hand side.
Subtract 3 from both sides:
y = 3/4 or 5 y = -3
Hint: | Solve for y.
Divide both sides by 5:
Answer: y = 3/4 or y = -3/5
approximate each irrational number to the nearest hundreth √32
Answer:
5.66
Step-by-step explanation:
sqrt(32) = sqrt(16 * 2) = 4 * sqrt(2) = 5.66
Sean began jogging to live a healthier lifestyle. On his first run, he ran one-half mile. He increased his workouts by adding two miles a month to his run. He wrote the equation f(x)= 0.5 + 2x to model his progress. The variable x represents the number of
miles he runs.
months he runs.
miles he ran the first day.
calories he burns.
The variable x represent the number of months in which he runs.
Linear equationA linear equation is in the form:
y = mx + b
where y, x are variables, m is the rate of change (slope) and b is the y intercept.
Given that Sean one-half mile on his first run and adds two miles a month to his run. It is given by the equation f(x)= 0.5 + 2x
The variable x represent the number of months in which he runs.
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−9+ p =12 rrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrrr
Answer:
Add 9 to both sides of the equation.
p=12r+9
Step-by-step explanation:
The answer is 21.
Have a good day!
grade 7. solving integers
can someone explain how we solve integers? it's very confusing and i'll give some examples.
4 - -10 = ?
-5 + -3 = ?
I've been told that when we it's addition (+), we minus and if it's subtraction (-), we add? this is very confusing so pls explain
Answer:
yes
Step-by-step explanation:
you do that when you have a minus sign and a negative an example is like if you have 4-(-10)=? if you look at the part where its -(- it looks like a positive + so you add them so this is equal to 14, and when you are multiplying 2 negatives they both equal a positive an example is like -4 times -5 this equals 20, but if you have -5+-3=? this equals -8 because you are adding the numbers.
Hope this helps =)
please help asap! thanks
Answer:
its the last one i believe
Step-by-step explanation:
because u have to get m by its self so
you divide 5 square from both sides and boom
Which of the statements describes a situation which models growth or decay by an equal factor over equal
intervals?
O
A. A water tank is filled at a rate of 2 gallons per minute.
B. A vine grows 6 inches every week.
o
C. A species of fly doubles its population every month during the summer.
D. A car increases its distance from a garage as it travels at a constant speed of 25 miles per hour.
Answer:
The statement that describes a situation that can be modeled as a growth or decay over equal interval is;
C. A species of fly doubles its population every month during the summer
Step-by-step explanation:
We have for exponential growth or decay, the following equation;
Exponential growth or decay;
[tex]y = a \cdot b^t[/tex]
Where;
a = The initial amount of the item
1 + r = The rate of growth in percentage
b = The growth or decay factor
t = The time
For exponential decay, we have;
0 < b < 1
b = 1 - r
[tex]y = a \cdot(1 - r)^t[/tex]
For exponential growth, we have;
b > 1
b = 1 + r
[tex]y = a \cdot(1 + r)^t[/tex]
Therefore, given that the number of the fly population doubles every month, we have the growth rate, r as 100%, which is written as 100/100 = 1, to give;
[tex]y = a \cdot(1 + 1)^t = a \cdot(2)^t[/tex]
Which is expressed as an exponential growth by an equal factor of, r, over equal intervals of, t, time.
A. g(x)= -5/2[x]
B. g(x)= -2/5[x]
C. g(x)=2/5[x]
D. g(x)=5/2[x]
Plz help
Answer:
B. g(x) = -2/5[x]
...............
For exercise 1-3 find the coordinates of the midpoint of the segment with each pair of end points (12,-7) and (-6,15)
Answer:
The answer is
( 3 , 2)Step-by-step explanation:
The midpoint M of two endpoints of a line segment can be found by using the formula
[tex]M = ( \frac{x1 + x2}{2} , \: \frac{y1 + y2}{2} )[/tex]
where
(x1 , y1) and (x2 , y2) are the points
From the question the points are
(12,-7) and (-6,15)
The midpoint is
[tex]M = ( \frac{12 - 6}{2} , \: \frac{ - 7 + 15}{2} ) \\ = ( \frac{6}{2} \: , \: \frac{8}{2} )[/tex]
We have the final answer as
( 3 , 2)Hope this helps you
if f(x) = 2x+4 find the values of x so that f(x)=24
24 = 2x + 4
2x = 20
x = 10
.......................
Identify the conclusion of the statement.
If a line is vertical, then the slope of the line is undefined.
A)
a line is vertical
B)
a line is horizontal
C)
the slope of the line is zero
D)
the slope of the line is undefined
Answer:
D) The slope of the line is undefined
Step-by-step explanation:
A vertical line will have an undefined slope, because it does not run horizontally.
To find the slope, you calculate it with rise over run, however, a vertical line will not run horizontally, meaning the run is 0.
And, dividing anything by 0 will get you an undefined answer.
So, D is correct. the slope of the line is undefined
Answer:
the slope of the line is undefined
Step-by-step explanation:
i just took test
Please write only vertical compression or stretch
Answer:
No te puedo ayudar vbbnn
Help help help help please-
Answer:
x = 17
Explanation:
Notice that all three of the angles combined create a straight angle. This means that the sum of all three angles is equal to 180 degrees.
Create your equation (7x - 2) + (2x + 4) + (25) = 180
Combine like terms 9x + 27 = 180
Subtract the constant from each side 9x = 153
Divide each side by the coefficient x = 17
You can check your work or find each individual angle by substituting 17 in for x.
38. Persevere in Problem Solving The difference between the solutions to
the equation x = a is 30. What is a? Show that your answer is correct.
Answer:
either a or x, the value is still 30
Step-by-step explanation:
given:
x = a is 30
find:
a = ?
since x = a = 30
a = 30 = x
therefore,
either a or x, the value is still 30
helppp first to answer get brainlist
Answer: c
Step-by-step explanation:
Does anyone understand?? Consider the set {2, 1, 3, 4}. How many proper subsets could be formed from this set?
If a set contains ‘n’ elements, then the number of proper subsets of the set is 2^n - 1.
In this problem,
n = 4
2^4 - 1 = 16 - 1 = 15 proper subsets
answer quick please
Answer:
x= 12 y= 9
Step-by-step explanation:
x+29=3x+5
-x
29=2x+5
-5
2x=24
/2 /2
x=12
12+29=41
180-41= 139+5= 144÷16=9
resultado de
[tex](4 + 5 + 3) + 8 = [/tex]
Steps to solve:
(4 + 5 + 3) + 8
~Add everything in parenthesis
12 + 8
~Add
20
Best of Luck!
[tex] \huge \purple {\tt {(4 + 5 + 3) + 8 =? }} [/tex]
Solution:By using parenthesis, we get
[tex] \huge \purple {\tt {12 + 8 = 20}} [/tex]
Answer:[tex] \huge \purple {\tt {20}} [/tex]
57 toys are split into groups of 4 toys. What question do we need to answer here? please don't give wrong answers this test is already missing so plssss help!
Answer:
There will be 14 and 1/4 GROUPS of 4 toys created by 57 toys
Step-by-step explanation:
57 toys divided into groups of 4 toys.
57/4= 14.25 or 14 1/4 GROUPs
1. Jane solved the midpoint, M, of a segment with endpoints (-4,-1) and(2,5) as shown below. Is her findings correct?
Step-by-step explanation:
I guess I was help full for u
In Argentina, a cow on a ranch is expected to need an average of 4200 m2
of grassland for food.
What size does a ranch need to be to feed 4500 cows?
Give your answer in hectares.
The cows of Argentina needs an approximate area of 4200 m² for grazing, and there is a total of 4500 cows.
And we are asked to find the total area of their grazing but in hectares. So, we can write:
[tex]1 \: cow = 4200 \: {m}^{2} [/tex]
Then, for 4500 cows:
[tex]4500 \: cows = 4200 \: {m}^{2} \times 4500[/tex]
[tex]4500 \: cows = 18900000 \: m {}^{2} [/tex]
We know that, 1 hectares = 10000 m² = 10⁴ m²
Then let the area of the field be x in hectares:
[tex]1 \: hectare = 10000 \: {m}^{2} [/tex]
[tex]x \: hectare = 18900000 \: {m}^{2} [/tex]
Then, putting them in proportion, We will get:
[tex]x = \dfrac{18900000}{10000} hectares[/tex]
[tex]x = \boxed{ 1890 \: hectares}[/tex]
So, the total area in hectares = 1890 hectares.
And we are done !!
#CarryOnLearning
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Tevin bought a box of 25 washers for $3.25. How much did Tevin pay per washer?
0.13 cents
So basically u need to do 3.25÷25.
plz solve this problem of trigonometry
i am an aakashian
Step-by-step explanation:
[tex]\bf L.H.S = \tt \dfrac{sec\: \theta + tan \: \theta - 1}{tan \: \theta - sec \: \theta + 1} \\ \\ [/tex]
[tex]: \implies \tt \dfrac{\frac{1}{cos \: \theta} + \frac{sin \: \theta}{cos \: \theta} - 1}{ \frac{sin \: \theta}{cos \: \theta} - \frac{1}{cos \: \theta} + 1 } \: = \dfrac{1 + sin \: \theta - cos \: \theta}{sin \: \theta + cos \: \theta} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta + (cos \: \theta - 1)} \: \times \: \dfrac{ sin \: \theta - (cos \: \theta - 1)}{sin \: \theta - (cos \: \theta - 1)} \\ \\ [/tex]
[tex]: \implies \tt\dfrac{ sin^{2} \: \theta + cos^{2} \: \theta + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: (cos \: \theta - 1)}{sin^{2} \: \theta - (cos \: \theta - 1)^{2} } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{1 + 1 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - 1 + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 - 2 \: cos \: \theta - 2 \: sin \: \theta \: cos \: \theta + 2 \: sin \: \theta}{sin^{2} \: \theta + cos^{2} \: \theta - sin^{2} \: \theta - cos^{2} \: \theta + 2 \: cos \: \theta } \\ \\ [/tex]
[tex]: \implies \tt\dfrac{2 (1 - \: cos \: \theta )- 2 \: sin \: \theta (1 - \: cos \: \theta)}{ 2 \: cos \: \theta - 2 \: cos^{2} \: \theta} \\ \\[/tex]
[tex]: \implies \tt\dfrac{(2 + 2 \: sin \: \theta) \: \cancel{(1 - cos\: \theta)}}{2 \: cos \: \theta \: \cancel{(1 - cos \: \theta)}} \: = \: \dfrac{1 + sin \: \theta}{cos \: \theta} \\ \\[/tex]
[tex]: \implies\tt\dfrac{1 + sin \: \theta}{cos \: \theta} \: \times \: \dfrac{1 - sin \: \theta}{1 - sin \: \theta} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{1 + sin^{2} \: \theta}{cos \: (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos^{2} \: \theta}{cos \: \theta (1 - sin \: \theta)} \\ \\ [/tex]
[tex]: \implies\tt\dfrac{cos \: \theta}{1 - sin \: \theta} \: = \: \bf{ R.H.S}\\ \\ [/tex]
[tex]\huge\bigstar \:\underline{\red{\sf Hence, Proved}} \: \bigstar \\ [/tex]
Explain why Figure B is not the image of Figure A after a rotation using center P
Answer:
because the are not the same measurement nor the right placement
Step-by-step explanation:
The sides of figure B appear narrower than the sides of figure A.
We need to explain why Figure B is not the image of Figure A after a rotation using centre P.
What is a rotation?A rotation is a type of transformation that takes each point in a figure and rotates it a certain number of degrees around a given point.
Now,
The reason why figure B is not the image of figure A after a rotation using centre P includes
1) The angle of rotation is measured as 180 - 45 = 135°, while the angle of rotation of the base is (90 - 26) + (90 - 71) = 83°
2) Rotation of a figure is a rigid transformation, such that the dimensions of the sides of the pre-image and the sides of the image should be equal after the rotation, however, the sides of figure B appear narrower than the sides of figure A.
Therefore, the sides of figure B appear narrower than the sides of figure A.
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A horizontal line has points D, B, C. A line extends vertically from point B to point A. Given that Ray B A bisects ∠DBC, which statement must be true? m∠ABD = m∠ABC AB ≅ BC B is the midpoint of DC. m∠DBC = 90°
Answer:
The Answer Is: m∠ABD = m∠ABC
Step-by-step explanation:
I just took the test
A line is a one-dimensional shape that is straight. The statement that must be true about the given condition is A, m∠ABD=m∠ABC.
What is a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely.
Given that a horizontal line has points D, B, C. A line extends vertically from point B to point A. Also, Ray BA bisects ∠DBC. Therefore, the diagram for the given condition can be made as shown below.
Thus, the statement that must be true is m∠ABD = m∠ABC. This is because ∠DBC is a straight line, therefore, its measure will be 180°. And since Ray BA bisects ∠DBC. Therefore, the measure of m∠ABD = m∠ABC = 90°.
Hence, the statement that must be true about the given condition is A, m∠ABD = m∠ABC.
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4x+ 2( 3 – 3x) = 6 answer
Answer:
0
Step-by-step explanation:
4x+ 2( 3 – 3x) = 6
4x+6-6x=6
6-2x=6
6-6=2x
0/2=x
x=0
Answer:
[tex]x=0[/tex]
Step-by-step explanation:
[tex]4x+2\left(3-3x\right)=6[/tex]
Expand:
[tex]4x+2\times3-2\times3x=6[/tex]
[tex]4x+6-6x=6[/tex]
[tex]-2x+6=6[/tex]
Subtract 6 from both sides:
[tex]-2x+6-6=6-6[/tex]
[tex]-2x=0[/tex]
Divide both sides by -2:
[tex]\frac{-2x}{-2}=\frac{0}{-2}[/tex]
[tex]x=0[/tex]
Triangle ABC was transformed to be triangle DBP using one
transformation
What transformation was performed?
O reflection
o translation
O rotation
O dilation
Answer:
reflection
Step-by-step explanation:
this is a reflection off y=-x
multiply 1 5.8 and 5.62
Answer:
88.796
Step-by-step explanation:
you multiply them...
I thought I had the right answer but apparently I don't. Help would be greatly appreciated. Thank you!
Answer:
1/36
Step-by-step explanation:
To get a sum of 2, both dice must roll a 1.
The probability of a 1 on the first die is 1/6.
The probability of a 1 on the second die is 1/6.
Therefore, the probability of rolling both 1s is:
P = 1/6 × 1/6 = 1/36
Determine the type of construction from the following steps
Similar
Perpendicular
Parallel
Congruent
Answer: perpendicular
Step-by-step explanation:
Hope this helps! If I’m right please give me Brainly-eat!! :)
-6(-2x² + 6-3w²)
they said to remove the parenthesis using distributive property helpp me
Answer:
=18w2+12x2−36
Step-by-step explanation:
I hope this helps you
Answer:
18w^2+12x^2−36
Step-by-step explanation: