Answer:
2 1/4 < x ≤ 4
Step-by-step explanation:
12x−39≤9 AND−4x+3<−6
Solve them separately and then put back together
12x−39≤9
Add 39 to each side
12x−39+39≤9+39
12x ≤48
Divide by 12
12x/12 ≤48/12
x ≤4
Now the other inequality
−4x+3<−6
Subtract 3 from each side
−4x+3-3<−6-3
-4x < -9
Divide by -4, remembering to flip the inequality
-4x/-4 > -9/-4
x > 2 1/4
put back together
x > 2 1/4 and x ≤4
2 1/4 < x ≤ 4
Answer:
2.25<x≤4
Step-by-step explanation:
12x−39≤9 ⇒ 12x≤ 48 ⇒ x≤4
−4x+3<−6 ⇒ -4x < -9 ⇒ x> 9/4= 2.25
2.25<x≤4
or
x= (2.25, 4]
If h(x) = 2x + 1, find h(x+2).
Answer:
h(x + 2) = 2x + 5
Step-by-step explanation:
So if you add 2 to x, you have to change the x value.
Since h(x) = 2x + 1, h(x + 2) = 2(x + 2) + 1
h(x + 2) = 2x + 5
Which function will start at the y-axis at (0,7)
1. y=7x
2. y=x+7
3. y=x-7
4. y=x+5
Answer:
2. y=x+7
Step-by-step explanation:
y=x+7
x y
0 7
1 8
2 9
3 10
The first set of ordered pairs are (0,7)
Answer this question please and Thank you!!
Answer:
20 %
Step-by-step explanation:
We need to find what percent is 16 of 80.
1). 16 / 80 = 0.2 = 20 %
Answer:
Y x 80 = 16. If we undo the multiplication and make 16/80=Y
16/80=0.2
Convert to percentage
0.2=20%
20% is your answer
Step-by-step explanation:
PLEASE HELP ME PLEASE 10 POINTS ON IT PLEASE
Answer:
6. He had Rs728.
7. There are 1875 pupils in the school.
Step-by-step explanation:
6.
He started with x amount of money.
He spent 1/4 of x. x - (1/4)x = (4/4)x - (1/4)x = (3/4)x
After buying the lottery tickets, he had (3/4)x left.
Then he spent 2/7 of the remainder on scratch cards.
He spent 2/7 of (3/4)x on scratch cards. Since he spent
2/7 of the reminder on scratch cards, he has 5/7 of the reminder left.
5/7 * (3/4)x = (15/28)x
He has (15/28)x left. He has Rs390 left.
(15/28)x = 390
15x = 390 * 28
15x = 10920
x = 728
Answer: He had Rs728.
7.
8/15 of the pupils are girls.
1 - 8/15 = 15/15 - 8/15 = 7/15
7/15 of the pupils are boys.
Let x = total number of pupils in the school
(8/15)x = (7/15)x + 125
Multiply both sides by 15.
8x = 7x + 1875
x = 1875
Answer: There are 1875 pupils in the school.
If x = y, then xz = yz represents the __________ property of equality. answers : multiplication addition division subtraction
Answer:
I believe the answer is multiplication property of equality.
I hope I helped, please correct me if I'm wrong!
Determine the slope of the line through the given points. If the slope is undefined, so state. (3,2) and (6,11)
Answer:
The slope is 3
Step-by-step explanation:
We can find the slope by using
m = (y2-y1)/(x2-x1)
= (11 -2)/(6-3)
= 9/3
= 3
Answer:
y = 3x – 7
Step-by-step explanation:
[tex]\frac{y_{2} }{x_{2} } -\frac{y_{1} }{x_{1} }[/tex]
[tex]\frac{11}{6} -\frac{2}{3} =[/tex]
[tex]\frac{9}{3} =[/tex]
3
The y-intercept of the slope is -7 if you graph it. So from the equation: y = mx + b, we get y = 3x - 7. (m is slope, b is y-intercept)
I’m going to try to catch up on math over the summer, because my old school was pretty ew with math, I’m very behind. So, what are some things I should study in math before going into the 6th grade?
Answer:
Number sense and operations, algebra, geometry and spatial sense, measurement, and data analysis and probability. Im a 10th grader in AP calc and I can tell u that is literally all that matters :)
Step-by-step explanation:
Help asap plz, dhdhhshdhdhd
Answer:
x=7
Step-by-step explanation:
The two marked angles in the image are supplementary, so we can form the following equation:
2x-3=x+4
We can solve that equation to find x.
2x-3=x+4
2x=x+7
x=7
I hope this helps.
Two trucks leave a warehouse at the same time. One travels due north at an average speed of 61 miles per hour, and the other travels due south at an average speed of 60 miles per hour. After how many hours will the two trucks be 544.5 miles apart?
Answer: 4.5 hours
Step-by-step explanation:
Distance = speed + time
544.5 = 61t + 60t
t = 544.5/121 = 4.5 hours
The acceleration due to gravity is g= 9.8 m/s. One student argues that acceleration is a variable, since it is represented by a letter. Another student claims it’s a constant, since it doesn’t change. Who is right?
Answer:
Acceleration due to gravity is a constant
Step-by-step explanation:
gravity is a force pulling an object to the center of the earth this force also never changes
Acceleration due to gravity is a constant for the earth at every place.
What is acceleration?Acceleration of any object is defined as the variation in the speed of the object with the variation of time. Acceleration is a vector term and to define it we require both the magnitude and the direction. The unit of acceleration can be m / sec², miles / sec², etc.
Gravity is a force that pulls an object toward the center of the earth, and this force never changes, hence acceleration due to gravity is a constant for the earth in all places.
Therefore, acceleration due to gravity is a constant for the earth at every place.
To know more about acceleration due to gravity follow
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Which exponential function matches the graph below?
Answer:
b
Step-by-step explanation:
just only do B
where x=0, y=2
Answer: a. f(x)=4^x
Step-by-step explanation:
PLZ HELP ON A TIME LIMIT
A building block is made by taking a 6 cm by 4 cm by 2 cm block and removing four cubes from the center of the block. The volume of the final block is 44 cm3.
A rectangular prism with a length of 6 centimeters, width of 4 centimeters, and height of 2 centimeters. 4 blocks are removed from the block with dimensions 6 by 4 by 2 centimeters.
What is the length of one side of one cube that was removed?
1 cm
1.5 cm
2 cm
2.5 cm
Answer:
(A)1 cm
Step-by-step explanation:
Volume of the Prism before the cubes were removed[tex]=6 X 4 X 2 = 48$ cm^3[/tex]
Volume of the Prism after the 4 cubes were removed[tex]=44$ cm^3[/tex]
Therefore, Volume of the 4 cubes
[tex]=48cm^3-44cm^3\\=4cm^3[/tex]
If Volume of the 4 cubes = 4 cubic centimeter
Volume of 1 cube =4/4 =1 cubic centimeterVolume of a cube of side length s[tex]=s^3[/tex]
Therefore:
[tex]s^3=1 cm^3\\$Side Length, s=1 cm[/tex]
The side length of 1 cube that was removed is 1 cm.
The correct option is A.
Answer:
A
Step-by-step explanation:
1cm
The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.
Answer:
a) - Compressing the P(new) function by a scale of 0.5 about the y axis.
- Moving the P(new) function down by 104 units.
b) The two simplified functions for P(original)
-0.08x² + 10.8x – 200.
-0.16x² + 21.6x – 504.
Step-by-step explanation:
Complete Question
An electronics manufacturer recently created a new version of a popular device. It also created this function to represent the profit, P(x), in tens of thousands of dollars, that the company will earn based on manufacturing x thousand devices: P(x) = -0.16x² + 21.6x – 400.
a. The profit function for the first version of the device was very similar to the profit function for the new version. As a matter of fact, the profit function for the first version is a transformation of the profit function for the new version. For the value x = 40, the original profit function is half the size of the new profit function. Write two function transformations in terms of P(x) that could represent the original profit function.
b. Write the two possible functions from part a in simplified form.
Solution
The equation for the new profit function is
P(x) = -0.16x² + 21.6x – 400
At x = 40, the original profit function is half the size of the new profit function
First, we find the value of the new profit function at x = 40
P(x) = -0.16(40)² + 21.6(40) – 400 = 208
Half of 208 = 0.5 × 208 = 104
P(original at x = 40) = P(new at x = 40) ÷ 2
Since we are told that P(original) is a simple transformation of the P(new)
P(original) = P(new)/2 = (-0.16x² + 21.6x – 400)/2 = -0.08x² + 10.8x – 200 ... (eqn 1)
Or, P(original) = 104
-0.16x² + 21.6x – 400 = 104
P(original) = -0.16x² + 21.6x – 400 - 104 = -0.16x² + 21.6x – 504.
So, the two functions that are simple transformations of P(new) to get P(original) are
-0.08x² + 10.8x – 200
Obtained by compressing the P(new) function by a scale of 0.5 about the y axis.
And
-0.16x² + 21.6x – 504.
Obtained by moving the P(new) function down by 104 units.
Hope this Helps!!!
A watercolor painting is 22 inches long by 8 inches wide. Ramon makes a border around the watercolor painting by making a mat that adds 1 inch to each side of the length and the width. What is the area of the mat?
Answer:
207 inches
Step-by-step explanation:
23*9=207
Answer:
23 inches long by 9 inches wide.
Step-by-step explanation:
if the mat add one inch to the sides then just add one to the measurements.
Emily uses 1 2/3cups of sugar and 3 1/4cups flour to make muffins she says she has12/3 more cups of flour than sugar
Answer:
is this helpful for you
Step-by-step explanation:
sugar: 12/3
flour:31/4
sugar:4
flour:7.75
3.7
which number, when substituted for x, make the equation 4x+ 8= 16 true
Answer:
x=2
Step-by-step explanation:
ok so this is just a substitution problem.
we need to get the variable (x) by itself on one side.
4x+8=16. so, lets remove 8 from the left side, and whatever we do to one side also has to happen to the other.
4x+8=16
-8 -8
4x=8. So now, we want to get 4 separate from x, and the only thing we can do is divide.
4x=8
/4 /4
x=2. there you have it, x is 2.
Answer:
X=2
Step-by-step explanation:
4x+8=16
4x=8
x=2
4(2)+8=16
8+8=16
16=16
Four data sets are shown below.
Set 1: {10, 19, 38, 50, 513
Set 2: {5, 21, 26, 39, 51}
Set 3: {9, 38, 50, 50, 513
Set 4: {5, 28, 28, 28,513
Which data set has the largest standard deviation?
For these given four sets of data, Set: 4 has the largest standard deviation.
What is standard deviation for a data set?"Standard deviation is a measure of the amount of variation or dispersion of a set of values.
A low standard deviation indicates that the values tend to be close to the mean of the set, while a high standard deviation indicates that the values are spread out over a wider range."
Set: 1 {10, 19, 38, 50, 513}
Number of terms = 5
Mean = (10 + 19 + 38 + 50 + 513)/5 = 630/5 = 126
Standard deviation
= [√{(10 - 126)² + (19 - 126)² + (38 - 126)² + (50 - 126)² + (513 - 126)²}/5]
= [√(13456 + 1149 + 7744 + 5776 + 149769)/5]
= 188.62
Set: 2 {5, 21, 26, 39, 51}
Number of terms = 5
Mean = (5 + 21 + 26 + 39 + 513)/5 = 604/5 = 120.8
Standard deviation
= [√{(5 - 120.8)² + (21 - 120.8)² + (26 - 120.8)² + (39- 120.8)² + (513 - 120.8)²}/5]
= [√(11193.64 + 9960.04 + 8987.04 + 6691.24 + 153820.84)/5]
= 195.27
Set: 3 {9, 38, 50, 50, 513}
Number of terms = 5
Mean = (9 + 38 + 50 + 50 + 513)/5 = 650/5 = 130
Standard deviation
= [√{(9 - 130)² + (38 - 130)² + (50 - 130)² + (50 - 130)² + (513 - 130)²}/5]
= [√(14641 + 8464 + 6400 + 6400 + 146689)/5]
= 191.1
Set: 4 {5, 28, 28, 28,513}
Number of terms = 5
Mean = (5 + 28 + 28 + 28 + 513)/5 = 602/5 = 120.4
Standard deviation
= [√{(5 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (28 - 120.4)² + (513 - 120.4)²}/5]
= [√(13317.16 + 8537.76 + 8537.76 + 8537.76 + 154134.76)/5]
= 196.5
Therefore, Set: 4 has the largest standard deviation.
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Each letter in the expression shown to the right represents a digit other than zero. Different letters represent different digits and the same letter always represents the same digit. What is the smallest whole number that can be the value of this expression?
Answer:
The smallest whole number that can be the value of the expression is 2
Step-by-step explanation:
Given that the letters represent different digits, to get the smallest whole number value for the expression we have;
[tex]\dfrac{K \times A \times N \times G \times A \times R \times O \times O}{G \times A \times M \times E}[/tex]
The letters G and A cancel out from the numerator and the denominator to give;
[tex]\dfrac{K \times A \times N \times R \times O \times O}{M \times E}[/tex]
Therefore, the smallest whole number can be from 2 and above as the product of six digits is more than one times the product of two digits
If we put
K = 2, A = 3, N = 4, R = 6, O = 1, M = 9, and E = 8, we have;
[tex]\dfrac{2 \times 3 \times 4 \times 6 \times 1 \times 1}{9 \times 8} = \dfrac{144}{72} =2[/tex]
Therefore, the smallest whole number that can be the value of the expression = 2.
Solve 54 - 10x< 20 + 7x.
O A. x 2
O B. XS-2
O c. xs2
O D. XX-2
Answer:
I think b :)
Step-by-step explanation:
Answer question. Please and Thank You!!
Answer:
SUPPORT: 75% of 100 > 50% 10
REFUTE: 75% of 1 < 50% 6
Step-by-step explanation:
75% of 100 is 75, and 50% of 10 is 5. 75 > 5, and that supports the claim
75% of 1 is 0.75, and 50% of 6 is 3. 0.75 < 3, and that refutes the claim.
Which of the following coordinate points represents the x-intercept of the equation 2x + 3y = 10?
A. (5, 0)
B. (0, 0)
C. (–4, 0)
D. (–2, 0)
Answer:
A
Step-by-step explanation:
take out the 'y' and the equation is left to 2x=10 and you divide 2x and 10 by 2
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Answer:
A. 2pi/3
4\sqrt{5}\pi -2\sqrt{5}\pi =2\sqrt{5}\pi
=\frac{2\sqrt{5}\pi }{\left(3\sqrt{5}\right)'\:}
Answer:
The answer is A
Step-by-step explanation:
!urgent! need help with aleks
Answer:
$24 sold
Step-by-step explanation:
Omar sold 4
(4x6=24)
Debra sold 3
(3x8=24)
ASAP please anyone..below is a screenshot of my question
Answer:
The customer is wrong
Step-by-step explanation:
The first picture is the black tag, the reduced price would be 14.7, the next picture would be another 25% (11.03) off of that 14.7 black tag price.
Lines c and d are parallel lines cut by transversalp.
Which must be true by the corresponding angles theorem?
P
1-27
22 - 26
23 25
12
4 3
G
05 - 27
5 6
d
Answer:
[tex] \angle 2 \cong \angle 6 [/tex]
Step-by-step explanation:
The only pair of corresponding angles in the choices is angles 2 and 6.
Answer:
[tex] \angle 2 \cong \angle 6 [/tex]
If x = 49, what is the value of x(x - 6)?
Answer:
2107
Step-by-step explanation:
Answer:
2107
Step-by-step explanation:
x(x-6)
49(49-6)
49(43)
49×43 = 2107
What is the difference between 28.935 and 13.011 , to the nearest integer?
Answer:
15.924
Step-by-step explanation:
The difference between these two integers is 15.924.
Given that,
The one integer is 28.935.
And, the other integer is 13.011.
We need to find out the difference between these two integers.
So,
The difference is
= 28.395 - 13.011
= 15.924
Therefore we can conclude that the difference between these two integers is 15.924.
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Fred placed 3 strands of bacteria in a petri dish. The bacteria strands double every hour. Write a formula to represent how many bacteria strands are present at the nth hour. Then, use the formula to determine how many strands of bacteria are present at 4 hours.
Which is correct:
A. f(n) = 3(2)n; 59 strands of bacteria
B. f(n) = 2(3)n; 82 strands of bacteria
C. f(n) = 3(2)n; 48 strands of bacteria
D. f(n) = 2(3)n; 162 strands of bacteria
Answer:
C.[tex]f(n) = 3(2)^n[/tex] ; 48 strands of bacteria
Step-by-step explanation:
Fred placed 3 strands of bacteria in a petri dish.
The bacteria strands double every hour.
Formula : y = ab^x
Where a is the initial value
b = growth rate
x = hours
So, A formula to represent how many bacteria strands are present at the nth hour : [tex]f(n)=3(2)^n[/tex]
Now we are supposed to find how many strands of bacteria are present at 4 hours.
Substitute the value in the formula :
[tex]f(4)=3(2)^{4}[/tex]
f(4)=48
Hence 48 strands of bacteria are present at 4 hours.
Answer:
f(n) = 3(2)n; 48 strands of bacteria
Step-by-step explanation:
theresa has $26 in her wallet. the bulls are worth either $5 or $1. if there are 14 bills total, how many does she have of each type
a. 11 fives and 3 ones
b. 4 fives and 10 ones
c. 2 fives and 12 ones
d. 3 fives and 11 ones
Venn diagrams cover another diagram
Answer:
what do u mean
do u mean does Venn diagram cover another diagrqm
