2x+4 (2x+7)= 3(2x+4)
solve x
[tex]2x + 4(2 x + 7) = 3(2x + 4)[/tex]
to find:solve the ( x ).
solution:[tex]2x + 4(2x + 7) = 3(2x + 4)[/tex]
[tex]2x + 8x + 28 = 6x + 12[/tex]
[tex]10x + 28 = 6x + 12[/tex]
[tex]4x + 28 = 12[/tex]
[tex]4x = - 16[/tex]
[tex]x = - 4[/tex]
2x+4(2x+7)= 3(2x+4)
2x+8x+28=6x + 12
10x+28=6x + 12
4x+28=12
4x= -16
x=-4
Which of the following fall between 12 and 13?
Emma enjoys flying kites. her red kite has a maximum altitude of 117.46 meters, and her black kite has a maximum altitude of 362.26 feet. one foot is the same as 0.3048 meters. which kite has a higher maximum altitude, and how many feet higher is it? a. the black kite has a maximum altitude 74.62 feet higher than the red kite. b. the black kite has a maximum altitude 33.66 feet higher than the red kite. c. the red kite has a maximum altitude 23.11 feet higher than the black kite. d. the red kite has a maximum altitude 7.04 feet higher than the black kite.
The red kite has a maximum altitude 23.11 feet higher than the black kite.
What is an equation?An equation is an expression that shows the relationship between two or more variables and numbers.
1 feet = 0.3048 meters, hence:
117.46 m = 117.46 m * 1 ft per 0.3048 meter = 385.37 feet
Difference in height = 385.37 feet - 362.26 feet = 23.11 feet
The red kite has a maximum altitude 23.11 feet higher than the black kite.
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A month of the year is chosen at random. What is the probability that the month starts with the letter J or the letter M
Answer:
hope it's helpfull...... ;)
The radius of a circle with area A is approximately $\sqrt{\frac{A}{3}}$ . The area of a circular mouse pad is 48 square inches. Estimate its radius to the nearest tenth
The radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
We have:
The area of the circular mouse pad = 48 square inches
The area of the circle:
[tex]\rm A = \pi r^2[/tex]
[tex]\rm 48 = \pi (r)^2[/tex]
Take π = 3.14
r = 3.909 inches ≈ 3.91 inches
Thus, the radius of the circular mouse pad is 3.91 inches if the area of a circular mouse pad is 48 square inches.
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The two expressions below have the same value when rounded to the nearest hundredth. log subscript 5 baseline b. log subscript 9 baseline 48 what is the approximate value of log b to the nearest hundredth? 0.93 1.23 9.16 65.53
The value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23
Evaluating logarithmFrom the question, we are to determine the value of log b to the nearest hundredth
From the given information
[tex]log_{5}b = log_{9}48[/tex]
But,
[tex]log_{9}48 =1.76186[/tex]
∴ [tex]log_{5}b =1.76186[/tex]
By one of the laws of logarithm
∴ [tex]b =5^{1.76186}[/tex]
b = 17.0407
Then,
log b = log(17.0407)
= 1.2315
∴ log b ≅ 1.23
Hence, the value of log b to the nearest hundredth is 1.23. The correct option is the second option - 1.23
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Answer:
The answer is 1.23
Step-by-step explanation:
Trust me I took the edge quiz 2022
4) In each of the following figures, find the value of the angles a,b,c,x,y,and z
Step-by-step explanation:
due to the principle of identical angles in parallel lines when intercepted by an inclined line,
y = 49°
the angles above an intersected line are the same as below that intersected line (just mirrored left-right).
and at the bottom, the angles an insecticide line has with one line must be the same as with another line that is parallel to the first line.
so, both indicated angles are the same as the original angle on the top : 49°
• A. All real numbers
• B. All real numbers except 2
• C. All real numbers except -6
• D. All real numbers except -6 and 2
Answer:
Option C
Step-by-step explanation:
you cancel the whole parentheses.
So you know, x+6 can't equal to 0.
that's why there is a choice that is all real numbers but not -6.
Answer:
A. All real numbers
Step-by-step explanation:
Given
(x - 2)(x + 6)/7(x + 6) = (x - 2)/7On cross multiplying,
(x - 2)(x + 6)(7) = (x - 2)(x + 6)(7)LHS = RHSThis means on applying any value for x, both sides will be equalHence, the correct option is AZahara asked the students in her class their gymnastic scores and recorded the scores in the table shown below:
Gymnastic Scores
Score Number of Students
0 1
1 1
2 2
3 6
4 4
5 3
6 2
Based on the table, what is the mean gymnastic score?
Answer:
It would be 3.5
Step-by-step explanation:
1+1+2+6+4+3+2
so the mean is 3.5
I NEED HELP! ASAP, THIS IS SO HARD AND MY BRAIN HURTS, IF U HELP ME WITH OTHER QUESTIONS LIKE THIS ILL GIVE U 50+ POINTS
Answer:
24.3
Step-by-step explanation:
We need to follow the order of operations PEMDAS:
ParenthesesExponentsMultiplication and Division (from left to right)Addition and Subtraction (from left to right)Carry out the operation in the parentheses first:
3³ + 14.7 ÷ 7 - (1.2 × 4)
⇒ 3³ + 14.7 ÷ 7 - 4.8
Now the exponent:
⇒ 3³ + 14.7 ÷ 7 - 4.8
⇒ (3 × 3 × 3) + 14.7 ÷ 7 - 4.8
⇒ 27 + 14.7 ÷ 7 - 4.8
Now, the division (there is no multiplication):
⇒ 27 + 14.7 ÷ 7 - 4.8
⇒ 27 + 2.1 - 4.8
Finally, carry out the addition and subtraction (from left to right)
⇒ 27 + 2.1 - 4.8
⇒ 29.1 - 4.8
⇒ 24.3
solve the equation 3x^2-x-3=0 to the nearest tenth
Answer:
You use the quadartic foruala for this problem your fanial anwers is
x=1 + or - radical 37 / 6.
1+ radical 37 over 6 =1.180460422
To the nearest tenth =1.2
1-radical 37 over 6= -0.8471270884
To the nearest tenth=-0.8
least to greatest:
1.11, 1 1/10, the square root of 3, 1.73, 1 2/5
Answer:
least to greatest:
1 1/10, 1.11, 1 2/5, 1.73, the square root of 3
Step-by-step explanation:
1 1/10 = 1.10
1.11 = 1.11
1 2/5 = 1.4
1.73 = 1.73
the square root of 3 is approximately 1.732
how much larger is 8 x 10^8 than 2 x 10^5
Answer:
799800000 larger
Step-by-step explanation:
8 × (10 × 8) = 8000000002 × (10 × 5) = 200000
So . . Subtract
800000000 - 200000 = 799800000
Answer: 799800000
Step-by-step explanation: For 8 x 10^8, do 10 x 10 x 10 10 x 10 x 10 10 x 10 to get 100,000,000 and x 8 is 800,000,000
For 2 x 10^5 do 10^5 ( 10 x 10 x 10 x 10 x 10) which is 100,000 and then x 2 is 200,000
Then subtract.
800,000,000 - 200,000 is 799800000
write the ratio in the simplest form 40kg : 480g
Answer: 1kg : 12g
Step-by-step explanation: Ratio in the simplest form is to divide both numbers by the greatest factor.
40 divided by 40 is 1
480 divided by 40 is 12
The answer is 1 kg : 12g
Need help!
Y=-2x^2-4x+6
Answer: (1, 0) , (-3, 0)
Step-by-step explanation:
I used an app. T-e-e-h-e-e
i don’t understand how to find x to solve.
Answer:
X + 3
Step-by-step explanation:
There is no definite working. The first container is what I call the base because everything is a little above the first container, X. They are basically asking you what is the total of the four jars bigger than X. In other words how many steps more to climb before the top floor while you are on the first step. So then you add the other numbers like 0.5 etc which will give you X +3. Hope it helps.
find the volume pleaseeeee
The temperature was 6° C.
By how much has it fallen if it is now -5° C?
Answer:
11 °C
Step-by-step explanation:
Initial temperature = 6 °CFinal temperature = - 5°CChange in temperature= 6 - (-5)
= 6 + 5
= 11 °C
Hope it helps you in your learning process.
Answer:
The temperature has fallen by 11° C.
Step-by-step explanation:
6° C - (-5° C) = 11° C.
HELP ASAP. Worth 10 points
Judy studied for 7/12 of an hour, and her sister studied for 2/3 of an hour. About how much time did they spend studying altogether?
They studied for half an hour.
They studied for an hour.
They studied for a little less than an hour.
They studied for a little more than an hour.
Answer:
They studied for a little more than an hour?
Step-by-step explanation:
7/12 of 60 Mins is 35 mins and 2/3 is 40 mins 40+35=75 mins
which is a little more than an hour, 15 mins more to be precise.
The diameter of a circle is 12 centimeters. What is the circle's area?
BEST ANSWER :
CIRCLE
solve for area
A = 113.1 cm^2
d diameter = 12 cm.
Answer:
Area of circle = π r^2
Step-by-step explanation:
Diameter = 12
Radius = 12/2
= 6
Area = π x 6^2
= π x 36
= 113.04
therefore the area of the circle is 113.04
Select the correct answer from each drop-down menu. The table below represents the function f, and the following graph represents the function g. x -6 -5 -4 -3 -2 -1 0 1 f(x) 8 -2 -8 -10 -8 -2 8 22 Complete the following statements. The functions f and g have . The y-intercept of f is the y-intercept of g. Over the interval [-6, -3], the average rate of change of f is the average rate of change of g.
Answer:
Complete the following statements.
The functions f and g have the same axis of symmetry.
The y-intercept of f is greater than the y-intercept of g.
Over the interval [-6, -3], the average rate of change of f is less than the average rate of change of g.
Answer:
First blank: The same axis of symmetry
Second blank: Greater than
Third blank: Less than
Step-by-step explanation:
PLATO
Please mark Brainliest <( ¨ )
Help me please asap!!! NOTE : PLEASE LOOK AT THE 3 PICTURES & I NEED A EXPLANATION
Step-by-step explanation:
3/5 - 1/3 = 4 /15
5/6 - 2/3 = 5/6 - 4/6 = 1/6
7/9 - 2/3 = 7/9 - 6/9 = 1/9
5/8 - 1/6 = (15 - 4) /24 = 11/24
(All the above ones I have taken common factor and subtracted them)
5 x 9/10 = 45/10 = 9/2 (simplified)
2/7 x 3 = 6/7
3 x 2/15 = 6/15
4x 2/6 = 8/6 = 4/3 (simplified form)
Hope this helps!!!
This figure is divided into triangles. What fraction of the figure is each triangle?
Answer:
a) 1/8
Step-by-step explanation:
There are 8 triangle in that shape. So, the fraction will be 1/8. Hence, option (a) is the correct answer.
I need help with writing the number as a decimal.
The question is
Two hundred thirty eight and forty-nine thousandths
Answer: 0.23849
Step-by-step explanation:
0.23849
2 is tenth
3 is hundredth
8 is thousandth
4 is ten thousandth
9 is hundred thousandth
Review the steps of the proof of the identity
At which step was an error made?
sin (A-3) - COSA.
= A.
step 1
step 2
3п
sin
step 3
step 4
Step 1: = sinAcos
3 п
2
-
COSAsin
n ()
Step 2: = (sinA)(0) + COSA( - 1)
Step 3: = (sinA)(0) + (1) (COSA)
Step 4: = 0 + COSA
Step 5: Cos A
Answer:
step 2
and then step 3 : the error neutralized the error of step 2
Step-by-step explanation:
sin(a + b) = sin(a)cos(b) + cos(a)sin(b)
and because
sin(-b) = -sin(b)
cos(-b) = cos(b)
we have
sin(a - b) = sin(a)cos(-b) + cos(a)sin(-b) =
= sin(a)cos(b) - cos(a)sin(b)
3pi/2 = 270° or -90°.
sin(3pi/2) = sin(270) = sin(-90) = -1
that means, it is the full radius straight down from the center of the circle.
cos(3pi/2) = cos(270) = cos(-90) = cos(90) = 0
so, step 1 is correct :
sin(A - 3pi/2) = sin(A)cos(3pi/2) - cos(A)sin(3pi/2) =
= sin(A)×0 - cos(A)×(-1) (correct step 2)
but as we see, the provided step 2 is incorrect.
it should have been the indicated
sin(A)×0 - cos(A)×(-1)
and NOT the provided
sin(A)×0 + cos(A)×(-1)
step 3 based on the erroneous step 2 should then have been
sin(A)×0 - (1)cos(A)
but instead another error with the sign was made that neutralized the error of step 2 and we got after this second mistake by pure chance the overall correct step 3
sin(A)×0 + (1)cos(A)
so, again, the first error was made in step 2.
but technically, there was also a consecutive error made in step 3 to bring everything back to the correct approach.
Find the maximum value on (0, infinity) for f(x)=7x-2xlnx
f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).
How to obtain the maximum value of a function?To find the maximum of a continuous and twice differentiable function f(x), we can firstly differentiate it with respect to x and equating it to 0 will give us critical points.
f(x) = max{0,x} then f(x)=0 if x<0 and f(x)=x if x≥0.
f(x)=7x-2xlnx
When x tends to -∞, f is the constant function zero, therefore limit n tends to infinity f(x) = 0.
When x tends to ∞, f(x)=x and x grows indefinitely. Thus limit n tends to infinity f(x) = infinity.
f is differentiable if x≠0. If x>0, f'(x)=1 (the derivative of f(x) = x and if x<0, f'(0)=0 (the derivative of the constant zero).
In x=0, the right-hand derivative is 1, but the left-hand derivative is 0, hence f'(0) does not exist,
f'(x)>0 for all x>0. Therefore f(x) is strictly increasing on the inverval (0,∞).
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1/5 x 1/5 x 1/5 x 1/5
A die is being rolled. Find the probability of rolling less than a 3.
Answer: 2/6
Step-by-step explanation:
Probability is nothing but the
number of favourable outcomes / number of total outcomes
ANSWER FAST, WILL MARK!!!
Answer:
(2, 3)
Step-by-step explanation:
The solution of two equations on a graph is where they intersect. In this case (2, 3) is the answer.
Answer:
(x,y) = (2,3) so C?
Step-by-step explanation:
=> y = x/2+2
=> y = x + 1
from that info, you can tell y = y, meaning x/2 + 2 = x+1
solving:
=> x/2 + 2 = x + 1
=> 1/2x +2 = x + 1
=> -x -x
=> - 1/2x + 2 = 1
=> -2 -2
=> -1/2x = -1
=> * 2/-1 * 2/-1
=> x = 2
solve using substitution now:
(let's plug it in to the easiest y = statement)
=> y = x+1
=> y = 2 +1
=> y = 3
(2,3) is your answer
30 POINTS!!!!! HELP QUICK
Find the area of the shaded region.
Use 3.14 for pi.
The area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.
What is a circle?It is described as a set of points, where each point is at the same distance from a fixed point (called the center of a circle)
As we know, the area of the circle is given by:
A = πr²
r = 21 in
A = 3.14(21)² = 1384.74 square in
Area of the triangle:
a = (39)(20)/2 = 390 square in
The area of the shaded region = 1384.74 - 390 = 994.74 square in
Thus, the area of the shaded region is 994.74 square in if the area of the circle is 1384.74 square in and the area of the triangle is 390 square in.
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