Answer:x=3
Step-by-step explanation:
4x+3=x+9
4x-x=(-3)+9
3x=6
x=6:3
x=2
Complete the statements.
f(4) is
f(x) = 4 when x is
Write 6.8167 correct to 3 significant figures.
Answer:
6.82
Step-by-step explanation:
An equation is shown below:
3(2x – 7) = 3
Part A: How many solutions does this equation have? (4 points)
Part B: What are the solutions to this equation? Show your work. (6 points)
Answer:
Part A: One | Part B: x = 4
Step-by-step explanation:
[tex]3(2x-7)=3\\6x-21=3\\6x=24\\x=4[/tex]
Answer:
4
Step-by-step explanation:
3(2x _7)=3
multiply 3 by everything in the bracket
6x-21 = 3
move 21 to the other side of the equation,it becomes positive sine it crosses the = sign
6x = 3+21
6x =24
divide both sides by 6
6x/6=24/6
x = 4
find the quantity whose 15% in 220
Answer:
Step-by-step explanation:
[tex]\frac{15}{100}*220=\frac{15}{10}*22=3*11 = 33[/tex]
What should be added to twice the rational number
-1/3 to get 4/5
Answer:
[tex]1 \frac{7}{15} [/tex]
Step-by-step explanation:
[tex] - \frac{1}{3} \times 2 + x = \frac{4}{5} \\ - \frac{2}{3} + x = \frac{4}{5} \\ x = \frac{4}{5} + \frac{2}{3} \\ x = \frac{12 + 10}{15} \\ x = \frac{22}{15} \\ x = 1 \frac{7}{15} [/tex]
find the equation of the line passing through (-4,1) and perpendicular to the line y=x/4+2
Answer:
y = -4x
Step-by-step explanation:
First, for an equation of form y=mx+b, m represents the slope. Therefore, for y=x/4+2 = (1/4)*x + 2, 1/4 is the slope. For perpendicular lines, the negative reciprocal of the slope is the slope of the line perpendicular to it. Therefore, the slope of our line is the negative reciprocal of 1/4.
To find the reciprocal of something, we can just divide 1 by it (another way to do this would be to flip the numerator and denominator, so 1/4 turns into 4/1). Therefore, 1/(1/4) = (1/1)/(1/4) = (1/1) * (4/1) = 4. The negative reciprocal is thus -4.
Our equation is therefore of form y = (-4) x + b. To solve for b, we can plug in the point given and solve for b in our equation. We have
-4 = (-4) * 1 + b
-4 = -4 + b
add 4 to both sides to isolate the b
0 = b
Therefore, our equation is
y= (-4)x + 0
y = -4x
find the perimeter of the isosceles trapezoid
Answer:
A =136 cm^2
Step-by-step explanation:
The area of a trapezoid is given by
A = 1/2 (b1+b2) *h where b1 and b2 are the lengths of the bases and h is the height
A = 1/2( 22+12) *8
A = 1/2 ( 34)*8
A =136 cm^2
30 POINTS!!!!
Select ALL the correct answers.
Identify the two tables which represent quadratic relationships.
Answer:
Tables 4 and 6Step-by-step explanation:
Look at the y-values as x-values are same for all tables.
We see that:
Tables 1 and 5 - linear function as the differences are same.Tables 2 and 3 - exponential function as the ratios are same.Tables 4 and 6 - seem quadratic as there are repeat values showing the symmetry.The roots of the quadratic function describing the relationship between number of products produced and overall profit margin are x=0 and 100. The vertex is (50,1000). The maximum profit of $ dollars is reached when items are produced. The first root tells us that the profit will be 0 when 0 products are produced. The second root says once 100 items are made, the company is no longer making any profit. (They do not have production capacity and have to outsource for anything over 50.)
Answer:
I assume that we want to complete the statement:
"The maximum profit of $__ dollars is reached when __ items are produced"
We know that the profit equation is defined between x = 0 and x = 100, which are the two roots of the equation (so the profit is equal to zero for x = 0 and for x = 100).
Then we can assume that the profit will be positive in this range.
Thus, the quadratic equation should have a negative leading coefficient, which would mean that the arms of the graph go downwards.
If this is the case, we know that the maximum will be at the vertex.
Here we know that the vertex is:
(50, 1000)
Where remember, x represents the number of items and y represents the profit.
So, given that the maximum is at the vertex, and we know that the vertex is (50, 1000) we can conclude that the maximum profit is $1000, and this happens when the number of produced items is 50.
Then the complete statement is:
"The maximum profit of $1000 dollars is reached when 50 items are produced"
Find the measure of one exterior angle for the following regular polygon that’s for both questions
Answer:
Step-by-step explanation:
HELP!!!
I need to know if this is Function or not a function.
Answer:
Not a function
Step-by-step explanation:
Since x = 1 produces y = 3 and y = 4 , the relation is not a function.
( − 2 , − 5) , ( − 1 , − 3 ) , ( 0 , 0 ) , ( 1 , 3 ) , ( 1 , 4 )
The domain cannot be the same value.
Select the correct answer from each drop-down menu.
A company makes cylindrical vases. The capacity, in cubic centimeters, of a cylindrical vase the company produces is given by the
function C() = 6.2873 + 28.26x2, where x is the radius, in centimeters. The area of the circular base of a vase, in square
centimeters, is given by the function A () = 3.14.2
To find the height of the vase, divide
represents the height of the vase.
the expressions modeling functions C(x) and A(z). The expression
Answer:
divide, 2x+9
Step-by-step explanation:
got it right
Can someone help me out I don't understand
Answer:
1/2
Step-by-step explanation:
You need to see how much times bigger or smaller the shape is after it's changed, that's the scale factor
The dialated image (blue one where it says J'K'T'P') seems like half the size of the black one, so we'll say the scale factor is half or 1/2 (if it's double then the scale factor is 2, for triple, it's 3)
Answered by GAUTHMATH
If the right angle triangle LMN.
L=30°, MN = 4cm and diagonal LM.
Find the LM and LN.
which choice is equivalent to the expression below? 7x√2 - 4√2 + x√2
A. 6x√2 - 3√2
B. 5x^2√2
C. 3x√2
D. 8x√2 - 4√2
Answer:
D
Step-by-step explanation:
[tex]8x \sqrt{2} - 4 \sqrt{2} [/tex]
Mr. Denning bought a jacket for $67.50
and a tie for $12.50. If a sales tax of 3%
was added to the price of his purchase,
what was his total bill?
67.50 + 12.50 = 80
80/100 = 0,8 x 3 = 2.4
so, the total bill was 80 + 2.4 = 82.4
hope it helps :)
If BC = 5, DE = 9, and AB = 4, what is the length of AD?
7
8
7.2
7.5
There are two triangles here: ABC and ADF. These triangles are similar, and thus proportional. So, we can set up a proportion between the left side of each triangle and the base of each triangle.
AB / AD = BC / DE
4 / (4 + BD) = 5 / 9
---AD is made up of AB and DB. We know AB, but not BD, so we need to find its value to find the length of AD.
5(4 + BD) = 9 x 4
20 + 5BD = 36
5BD = 16
BD = 3.2
AD = AB + BD
AD = 4 + 3.2
AD = 7.2
Hope this helps!
SEE QUESTION IN IMAGE
Answer:
d) 2y + x = 106Step-by-step explanation:
Mean of the data = sum of the data / number of frequencies:
(40 + 38 + y + y + x + 32)/6 = 362y + x + 110 = 36*62y + x = 216 - 1102y + x = 106Correct choice is d
Leo took part in a diet program. He weighed 190 pounds at the start of the program. During the first week, he lost 4.3 pounds. During the second week, he had lost 2.8 pounds. The third week, he gained 0.7 pounds. The fourth week, he lost 1.9 pounds. What did Leo weigh at the end of the fourth week?
Answer:
Leo's weight at the end of the fourth week = 181.7 pounds
Step-by-step explanation:
Leo's initial weight = 190 pounds
First week = lost 4.3 pounds
New weight = 190 pounds - 4.3 pounds
= 185.7 pounds
Second week = lost 2.8 pounds
New weight = 185.7 pounds - 2.8 pounds
= 182.9 Pounds
Third week = gained 0.7 pounds
New weight = 182.9 pounds + 0.7 pounds
= 183.6 pounds
Fourth week = lost 1.9 pounds
New weight = 183.6 pounds - 1.9 pounds
= 181.7 pounds
Leo's weight at the end of the fourth week = 181.7 pounds
Alternatively
New weight = initial weight - first week - second week + third week - fourth week
= 190 - 4.3 - 2.8 + 0.7 - 1.9
= 181.7 pounds
Solve the system of equations:
v=2x-4
y=x2 - 4
The choose (D)
(0,-4) and (2,0)
which of the following inequalities represents all values of x for which the quotient below is defined? sqrt 21(x-1) divided by sqrt 7x²
A. x < -1
B. x > -1
C. x < 1
D. x > 1
Answer:
the answer to your question is D
Write the equation of the line with a slope of 4 that contains the point (5, 8).
Answer:
y = 4x - 12
Step-by-step explanation:
y = 4x + b
8 = 4(5) + b
8 = 20 + b
-12 = b
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \maltese \bf \: \: \: we \: know \: that \: \\ \sf \: if \: any \: equation\:of \: line \: which \: slope (m) \\ \sf \: and \: passes \: through \: (x_1,y _1) \: \: then \: its \\ \sf equation \: is \: : \\ \\ \red{ \boxed{ \bf y - y_1 = m(x - x_1)}}\bf\end{array}}}}[/tex]
Given that,
A equation of the line with a slope of m = 4 and that contains / passes through the point (5, 8).
So,
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: x_1 = 5 \: \: \: \\ \bf y_1 = 8 \\ \bf \: m \: = 4 \: \: \end{array}}}}[/tex]
NOW,
The equation is :
[tex] \green{ \boxed{\boxed{\begin{array}{cc} \bf \: y - 8 = 4(x - 5) \\ \\ = > \bf \: y - 8 = 4x - 20 \\ \\ = > \pink{ \boxed{\bf\:4x - y - 12 = 0}} \end{array}}}}[/tex]
Jonathan has a comic book collection.
He tells you he sold half of them, but then bought 9 more new comics.
After this, Jonathan now has 81 comic books. How many comic books did he have before he sold some? a) Let b = the number of Jonathan had before selling some. Write the equation you would use to solve this problem.
In the rhombus, m angle 1 equals 106. What are m angles 2 and 3?
Answer:
A ball is thrown straight up from a rooftop 320 feet high. The formula below describes the ball's height above the ground, h, in feet, t seconds after it was thrown. The ball misses the rooftop on its way down and eventually strikes the ground. How long will it take for the ball to hit the ground? Use this information to provide tick marks with appropriate numbers along the horizontal axis in the figure shown.
h=-16t^2+16t+320THIS IS TIMED I NEED THE ANSWER NOW
Answer:
114 pi or 359
Step-by-step explanation:
Find the length of CB
.
Answer:
CB = 7
Step-by-step explanation:
CB = CK
5x - 3 = 3x + 1
5x - 3x = 1 + 3
2x = 4
x = 4 / 2
x = 2
CB = 5x - 3
= 5 ( 2 ) - 3
= 10 - 3
CB = 7
Answer:
CB = 7
Step-by-step explanation:
since the 2 triangles are AAS (B, K, E, CE as shared side) proven congruent, CB and CK must have the same length.
5x - 3 = 3x + 1
2x = 4
x = 2
CB = 5x - 3 = 5×2 - 3 = 10 - 3 = 7
HELP ME ASAP!!!
two angles are supplementary. one angle is three less than 4 times it's supplement. what are the measures of the two angles?
Step-by-step explanation:
Two angles are supplementary one angle is 4 degrees less than three times the other find the measures of the angles
x + y = 180
x = 3y - 4
3y - 4 + y = 180
4y = 184
y = 46
x = 134
Answer:
30°，150°
Step-by-step explanation:
đồ thị hàm số có bao nhiêu tiệm cận
Answer:
c
Step-by-step explanation:
Below are the times (in days) it takes for a sample of 6 customers from Sarah's computer store to pay their invoices.
33, 16, 29, 41, 36, 37
Find the standard deviation of this sample of times. Round your answer to two decimal places.
=___
Answer:
8.80
Step-by-step explanation:
(S. D.)^2=summation(x-mean)^2/(n-1)
S. D.=sqrt(388/5)
S. D.=8.80
the expression below is a factorization of what trimonial (5x+6)(3x-2)
Answer:
[tex]15x^2 + 8x -12[/tex]
Step-by-step explanation:
(5x+6)(3x-2)
"foil" it out
F: 5x * 3x = 15x^2
O: 5x * -2 = -10x
I: 6*3x = 18x
L: 6 * -2 = -12
Answer:
15x² + 8x - 12
Step-by-step explanation:
(5x + 6)(3x - 2)
Each term in the second factor is multiplied by each term in the first factor, that is
5x(3x - 2) + 6(3x - 2) ← distribute both parenthesis
= 15x² - 10x + 18x - 12 ← collect like terms
= 15x² + 8x - 12
