Answer:
The graph in the attached figure
Step-by-step explanation:
Let
x -----> time of the first process in minutes
y -----> time of the second process in minutes
we know that
The time of the first process multiplied by 4 (because is repeated 4 times) plus the time of the second process multiplied by 1 (because is repeated only once) must be less than or equal to 3 minutes
so
The inequality that represent this situation is
The solution of the inequality is the shaded area below the solid line
The equation of the solid line is
The y-intercept of the solid line is the point (0,3)
The x-intercept of the solid line is the point (0.75,0)
The slope of the solid line is negative m=-4
using a graphing tool
The solution is the shaded area
The graph in the attached figure
Remember that the time cannot be a negative number
Answer: The answer is the last graph so D
Step-by-step explanation: Pogchamp
Fill in the table using this function rule.
y=-6x-1
Answer:
5, -1, -7, -31
Step-by-step explanation:
When you plug in x digits you get these numbers.
By substituting different values of x, corresponding values of function y are 5, -1, -7, and -31 obtained as shown in the table.
What is a linear function?"A linear function is a mathematical expression which, when graphed, will form a straight line. A linear function is a simple function usually composed of constants and simple variables without exponents"
For the given situation,
The function is y=-6x-1.
Substitute the different values of x in function y, to obtain the value of y.
For x = -1,
[tex]y=-6(-1)-1[/tex]
⇒ [tex]y=5[/tex]
For x = 0,
[tex]y=-6(0)-1[/tex]
⇒ [tex]y=-1[/tex]
For x = 1,
[tex]y=-6(1)-1[/tex]
⇒ [tex]y=-7[/tex]
For x = 5,
[tex]y=-6(5)-1[/tex]⇒ [tex]y=-31[/tex]
The table below shows the values of x and the function y.
Hence we can conclude that by substituting different values of x, corresponding values of function y are obtained as shown in the table.
Learn more about the linear functions here
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Box A contains 5 dark chocolates and
10 milk chocolates. Box B contains 12
dark chocolates and 12 milk chocolates.
Craig picks a box at random and then
takes out one chocolate at random.
What is the probability that he gets a dark
chocolate?
% (1 d.p.)
3x2 +x=10 what’s the answer?
Answer:
Step-by-step explanation:
3 × 2 + x = 10
6 + x = 10
x = 10 -6
x = 4
Step-by-step explanation:
so 3 x 2 is 6
6 add x is 6x
6x = 10
divide by 6 or 10 on both sides to get ur answer
hope this helps
i would appreciate it if u could heart my answer and give it 5 stars or maybe even give it brainliest pls i beg u thx !!!!! : )
Amina sees a discount of 5% on a laptop. She can calculate the amount she has to pay for the laptop using the expression where b is the price of the laptop before the discount. If the price after discount is $494, which number from the set {500, 505, 510, 520, 525} is the value of b? A. $500 B. $505 C. $510 D. $520 E. $525
Answer:
D. $520
Step-by-step explanation:
A 5% discount means you are paying 95% of the original price.
494 divided by 0.95 = 520
Answer:
d 520
Step-by-step explanation:
a good trick when you have these multiple choice questions especially with percentages with tips and discounts just multiply each answer option by what ever percentage you have and subtract or add what you got on the calculator
The function ƒ(x) = 6x is vertically shrunk by a factor of ½ and translated 9 units in the negative y- direction. Select the correct graph of the resulting function.
Step-by-step explanation:
The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.
Answer:
The graph on the left is f(x). The roots -- the x-intercepts -- are −3, −1, 2. The middle graph is f(−x), which is its reflection about the y-axis. The graph on the right is −f(x), which is its reflection about the x-axis.
Step-by-step explanation:
this was correct
Which equation can be used to find AB?
Answer:
cos 42 = 10 / AB
Step-by-step explanation:
Since this is a right angle, we can use trig functions
cos theta = adjacent / hypotenuse
cos 42 = 10 / AB
The ratio of boys and girls in the school
chorus is 4 to 5. There are a total of 20
boys in the chorus. How many students are
in the chorus?
Answer:
45
Step-by-step explanation:
20 boys= 5 times the ratio
So, 5x5=25
25 girls and 20 boys= 45 students
Answer:
45 students
Step-by-step explanation:
to make sure there are 20 boys you need to multiply 4 by 5
so multiply the 5 by 5 as well
then add what you get!!
Image attached: geometry
How many pounds of candy that sells for $0.81 per Ib must be mixed with candy that sells for $1.27 per Ib to obtain 8 lb of a mixture that should sell for $0.92 per lb?
1. $0.81-per-lb candy: _____ lb?
Answer:
should I ans?
Step-by-step explanation:
mayb not...coz idu
ASAP PLZZZ Find the area of the shaded polygons:
Step-by-step explanation:
You can use the Pick's theorem:
[tex]A=i+\dfrac{b}{2}-1[/tex]
where
i - number of lattice points in the interior located in the polygon
b - number of lattice points on the boundary placed on the polygon's perimeter
[tex]1.\\i= 5;\ b=12\\\\A=5+\dfrac{12}{2}-1=5+6-1=10\\\\2.\\i=3;\ b=4\\\\A=3+\dfrac{4}{2}-1=3+2-1=4\\\\3.\\i=5;\ b=10\\\\A=5+\dfrac{10}{2}-1=5+5-1=9[/tex]
Answer:
Of course, the Pick's theorem is the way to solve this question, but consider:
Another approach is using topography:
Gauss's Area Calculation Formula:
[tex]$A=\frac{1}{2} \sum_{i=1}^{n} (x_{i} \cdot y_{i+1}-y_{i} \cdot x_{i+1})$[/tex]
Taking the purple one:
We have 6 points. I will name them:
[tex]A(0, 4);B(0, 0);C(1, 1);D(4, 0);E(4, 4);F(1, 2);[/tex]
[tex]$D=\begin{vmatrix}0& 0& 1 & 4& 4 & 1 & 0\\ 4& 0 & 1 & 0& 4 & 2 & 4 \end{vmatrix}$[/tex]
[tex]D=28-8=20[/tex]
[tex]$A=\frac{20}{2} =10$[/tex]
Which word phrase could represent the algebraic expression 2p + 3 where p represents Sam's age?
Answer:
1. 3 + 4x
2. 8/ x-y
3. X/2y
4. Four times a number m
5 let m represent months
30 + 12m
Carver is trying to reproduce a scale drawing where every 3 in. will be equal to 2 feet. How long should Carver make the red line, in feet?
Answer:
6 ft
Step-by-step explanation:
Since the red line is 9 feet long, and we know that [tex]3\cdot3 = 9[/tex], we can note that 3 inches goes into 9 inches 3 times.
Now that we are making the red line increase by 2 feet for every 3 inches, we can multiply the values.
2 feet × 3 times = 6 feet
So Carver should make the red line 6 feet long.
Hope this helped!
Answer:
6ft
Step-by-step explanation:
If the scale is 3in:2ft then every 3 inches is equal to 2 feet. 9in can be divided into 3 3in sections and after the sections are scaled 3 2t sections which in all are equal to 6ft.
One number is 5 more than 4 times another their sum is 20
Answer:
3, 17
Step-by-step explanation:
1st number = x
2nd number = 4x+5
x+4x+5=20
5x=15
x=3
1st number = 3
2nd number = 4(3)+5=12+5=17
The lengths of the sides of a triangle are in the ratio of 6:6:5. The perimeter of the triangle
is 34 centimeters. Find the length of each side of the triangle.
Hello!
Answer:
12 cm, 12 cm, 10 cm.
Step-by-step explanation:
Given:
Perimeter, or P = 34 cm
Ratio of sides = 6 : 6 : 5
To find the length of each side, we can use a variable in the ratio to find the perimeter:
34 = 6x + 6x + 5x
Combine like terms:
34 = 17x
Solve for x:
34/17 = 17x/17; x = 2
Plug in this value of "x" into each expression for the side-lengths:
6(2) = 12 cm
6(2) = 12 cm
5(2) = 10 cm
Therefore, the lengths of each side of the triangle are 12 cm, 12 cm, 10 cm.
Hope this helped you! :)
Answer:
12, 12 and 10 cm.
Step-by-step explanation:
6 + 6 + 5 = 17
So one side = 6/17 * 34 = 12 cm
One other side is also 12 cm
The third side = 5/17 * 34 = 10 cm.
What is the answer of 4(b+3) when b is 6?
Answer:
36
Step-by-step explanation:
Well first if b is 6 we plug that into the following.
4(b+3)
To,
4(6+3)
6+3 is 9 and 9*4 is 36.
Answer:
36
Step-by-step explanation:
4(6+3)
4(9)
36
find the value of a in this picture below
Answer:
[tex]\boxed{a=40}[/tex]
Step-by-step explanation:
Angles on a straight line add up to 180 degrees.
[tex]a[/tex] is equivalent to all the other [tex]a[/tex].
Put up an equation and solve for [tex]a[/tex].
[tex]60+a+a+a=180[/tex]
[tex]3a+60=180[/tex]
[tex]3a=120[/tex]
[tex]a=40[/tex]
Answer:
Step-by-step explanation:
in the given figure;
a+60deg.+a+a=180 deg.
=> 3a+60=180
=> 3a=180-60
=> 3a=120
=> a=120/3
=40 deg.
Complete the point-slope equation of the line through ( − 1 , − 10 )and (5 , 2) y-2 =?
Answer:
y - 2 = 3(x - 5).
Step-by-step explanation:
We need to find the slope of the line.
[2 - (-10)] / [5 - (-1)] = (2 + 10) / (5 + 1) = 12 / 6 = 2 / 1 = 2
So, y1 = 2, x1 = 5, and m = 2.
y - 2 = 3(x - 5)
Hope this helps!
The formula for point slope is written as y - y1 = m(x -x1)
You are given y - 2 = ?
Since the 2 form the point (5,2) is the y1 value, then the 5 is equal to x1
The formula becomes: y-2 = m(x-5)
Now solve for the slope, which is the change in y over the change in x:
Slope = -10 - 2 / -1 - 5 = -12/-4 = 3
Now replace m to get y-2 = 3(x-5)
Determine if the statement is always, sometimes or never true. The measure of an exterior angle at the vertex of a polygon equals the measure of the adjacent interior angle. always
Answer:
I believe it is never
Step-by-step explanation:
Sorry if I'm wrong ...
Which of the following are true statements about minerals?
I. Minerals are naturally occurring substances.
II. Each mineral has a specific chemical makeup.
III. Minerals can be solids, liquids, or gases.
IV. Rocks are made of minerals.
Answer:
1,2 and 4 are correct.
Step-by-step explanation:
A mineral cannot be a liquid or a gas.
Answer:
|, ||, |V
Step-by-step explanation:
Only I, II, and IV are true. Minerals are solid, naturally occurring inorganic substances, each having a specific chemical makeup. Each mineral also has a particular type of ordered internal structure. Rocks are made of two or more minerals.
PLZ ANSWER If the graph of the equation y=(x+2)^2 is reflected with respect to the y-axis, what is the equation of the resulting graph?
Answer:
y=(x-2)^2
Step-by-step explanation:
just simply change the sign.
Evaluate each limit. Give exact answers.
Answer:
Given that 1 and 4 are vertical asymtotes we have;
(a) -∞
(b) +∞
(c) +∞
(d) -∞
Step-by-step explanation:
(a) For the function;
[tex]\lim_{x\rightarrow 4^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{x^{2}-5\cdot x+4} \right )[/tex]
We have the denominator given by the expression, x² - 5·x + 4 which can be factorized as (x - 4)(x - 1)
Therefore, as the function approaches 4 from the left [lim (x → 4⁻)] gives;
[tex]\lim_{x\rightarrow 4^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(x - 1)\cdot (x - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 4^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(3.999 - 1)\cdot (3.999 - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 4^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(2.999)\cdot (-0.001)} \right )[/tex][tex]=- \infty[/tex]
(b) Similarly, we have;
[tex]\lim_{x\rightarrow 4^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{x^{2}-5\cdot x+4} \right )[/tex]
We have the denominator given by the expression, x² - 5·x + 4 which can be factorized as (x - 4)(x - 1)
Therefore, as the function approaches 4 from the right [lim (x → 4⁺)] gives;
[tex]\lim_{x\rightarrow 4^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(x - 1)\cdot (x - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 4^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(4.0001 - 1)\cdot (4.0001 - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 4^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(3.0001)\cdot (0.0001)} \right )[/tex][tex]= +\infty[/tex]
(c)
[tex]\lim_{x\rightarrow 1^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{x^{2}-5\cdot x+4} \right )[/tex]
We have the denominator given by the expression, x² - 5·x + 4 which can be factorized as (x - 4)(x - 1)
Therefore, as the function approaches 1 from the left [lim (x → 1⁻)] gives;
[tex]\lim_{x\rightarrow 1 ^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(x - 1)\cdot (x - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 1^{-}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(0.999 - 1)\cdot (0.999 - 4)} \right )[/tex] [tex]\lim_{x\rightarrow 4^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(-0.001)\cdot (-3.001)} \right )[/tex][tex]=+ \infty[/tex]
(d) As the function approaches 1 from the right [lim (x → 1⁺)]
We have;
[tex]\lim_{x\rightarrow 1^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(1.0001 - 1)\cdot (1.0001 - 4)} \right )[/tex]= [tex]\lim_{x\rightarrow 1^{+}}\left (\dfrac{2\cdot x^{2}+13\cdot x+20}{(0.0001)\cdot (-2.999)} \right ) =- \infty[/tex]
What is the length of AB, given that figure ABCD is a rhombus?
A. 12
B. 4
C. 16
D. 8
Answer:
c
Step-by-step explanation:
determine which function has the greatest rate of change as x approaches infinity
f(x)= 2^x- 10
g(x)=16x-4
h(x) = 3x^2-7x+8
there is not enough information to determine the answer
Answer:
f(x)= 2^x-10
Step-by-step explanation:
Exponential functions are ALWAYS greater in the long run!
Answer:
A) f(x) = 2^x − 10
Step-by-step explanation:
I graph all of these functions and f(x) = 2^x − 10 surpasses the other two functions. Exponential growth functions always exceed linear growth functions over time.
anyone knows this? thanks
Answer:
B. 15:1
Step-by-step explanation:
30/2=15/1
45/3=15/1
60/4=15/1
75/5=15/1
Hope this helps ;) ❤❤❤
The correct answer is B
The radius of a circle is three units. What is the diameter of the circle?
Answer:
6 units
Step-by-step explanation:
3x2=6
Answer: 6 units
Step-by-step explanation: The diameter of a circle which is a cord that passes through the center is always 2 times the radius.
So if we know that the radius of pour circle is 3 units,
we can simply multiply 2 by 3 to get 6 units.
So the diameter is 6 units.
The baker makes54 biscuits in the morning. Then he makes 26 more in the afternoon.
Answer:
80 biscuits
Step-by-step explanation:
The question is not a whole question so I am just assuming that the question is how many biscuits were baked the whole day
Hope this helps :)
lands on a field. The height of the ball, in meters, is modeled by the function shown in the graph. What's the average rate of change of the height of the ball from the point when John throws it to its maximum height? Question 10 options: A) 2 meters per second B) –1∕2 meters per second C) –2 meters per second D) 1∕2 meters per second
Answer:
A) 2 m/s
Step-by-step explanation:
The ball increases from its thrown height of 3 meters to its maximum height of 7 meters in 2 seconds. That's an average rate of increase of ...
(4 m)/(2 s) = 2 m/s
The average rate of change of height is 2 meters per second.
Answer: 2m/sec
Step-by-step explanation: From the graph we see that the ball went from 3 meters to 7 meters, a difference of 4m. It took 2 seconds to reach that height.
The average is found by dividing 4m/2sec
The result is 4m/sec
Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long. How long is each of the 7 smaller boards? Four-thirds StartFraction 7 over 9 EndFraction StartFraction 9 over 7 EndFraction Three-fourths
Answer:
9 over 7 end fraction three-fourths
Step-by-step explanation:
The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).
What is Division method?
Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications.
For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.
Given that;
Diego cut 7 smaller boards of equal length from a board that is 9 1/3 feet long.
Now,
Since, Diego cut 7 smaller boards of equal length from a board that is 9 and one-third feet long.
So, The length of the 7 smaller boards = 9 1/3 ÷ 7
= 28/3 ÷ 7
= 28/3 × 1/7
= 4/3 feet
Thus, The length of the 7 smaller boards will be ''Four-thirds'' (4/3 feet).
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Kendra was given this system of equations. Negative 3 x + 7 y = negative 15. Negative 2 x minus 7 y = 5. Kendra’s work is shown in the table. Where, if anywhere, did Kendra first make a mistake? Steps Kendra’s Work Step 1 Negative 3 x + 7 y = negative 15. Negative 2 x minus 7 y = 5. Negative 5 x = negative 10. Step 2 Negative 5 x = negative 10. x = 2. Step 3 Negative 3 (2) + 7 y = negative 15. Negative 6 + 7 y = negative 15. 7 y = negative 9. y = Negative StartFraction 9 Over 7 EndFraction = negative 1 and StartFraction 2 Over 7 EndFraction step 1 step 2 step 3 no mistake
Answer:
i dont think Kendra made a mistake
Step-by-step explanation:
Given:
Kendra was given this system of equations.
-3x+7y=-15 and -2x-7y=5.
TO FIND :
The steps in Kendra’s work where did she make a mistake.
SOLUTION :
Kendra's work :
Step 1 :
Given equations are
-3x+7y=-15
and
-2x-7y=-15
Step 2:
Adding the equations (1) and (2) we get
-5 x = -10.
x=-10/-5
x = 2.
Step 3:
Substitute the value of x in the equation (1) we have,
-3(2)+7y=-15
-6+7y=-15
7y=-15+6
7y=-9
y=-9/7
y=-1 2/7
From Kendra's worked steps she made no mistake.
Hope this helps, if it did, please give brainliest, it will help me a lot :)
Have a good day :)
One day the temperature was 72°F. That night, the temperature was 44°F. What number represents the change in temperature?
Answer:
28°F
Step-by-step explanation:
We can find the change in temperature by subtracting 44 from 72:
72 - 44 = 28
So, the change in temperature was 28°F