Answer:A=6 B=-4.5
Step-by-step explanation:
We want to find the values of A and B such that the given system of equations has no solutions. We will find that the values of A and B can be:
B = -4.5
A = 6
When a system of equations has no solutions?
A system of linear equations has no solutions when the lines are parallel (so the lines never do intercept).
Here the system is:
3x + 4y = A
Bx – 6y = 15
Remember that two lines are parallel if and only if they have the same slope and different y-intercept, then let's write both equations in the slope-intercept form:
y = A/4 - (3/4)*x
y = -15/6 + (B/6)*x
So we must have:
B/6 = -3/4
A/4 ≠ -15/6
From the first one we get:
B = (-3/4)*6 = -4.5
From the second one we get:
A ≠ (-15/6)*4 = -10
Then from the given pairs, the only one that causes the system to have no solutions is:
B = -4.5
A = 6
If you want to learn more about systems of equations, you can read:
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1/3x+4=10 what is x?
Answer:
x = 18
Step-by-step explanation:
start with your equation: 1/3x + 4 = 10
first subtract 4 from both sides of the equal sign
now you have: 1/3x = 6
then divide by 1/3 on both sides
which gives you...
x = 18
you can check it by replacing x with 18.
hope this helps!
Answer:
[tex]x=18[/tex]
Step-by-step explanation:
[tex]\frac{1}{3}x+4=10[/tex]
Subtract 4 from both sides
[tex]\frac{1}{3}x=6[/tex]
Multiply both sides by 3
[tex]x=18[/tex]
Math help asap!
[Function Inverses]
Answer:
It's (B) [tex]\frac{3}{2}[/tex]
Step-by-step explanation:
Hope this helped you!
Answer:
f^-1(8) = 3/2
Step-by-step explanation:
f(x) = 2x + 5
y = 2x + 5
x = 2y + 5
2y = x - 5
y = (x - 5)/2
f^-1(x) = (x - 5)/2
f^-1(8) = (8 - 5)/2
f^-1(8) = 3/2
The moon has a diameter of approximately 2,200 miles. If the circumference of a circle can be found using the formula C = πd, what is the circumference of the moon? (Use 3.14 for π) A. 690,800 miles B. 6,908 miles C. 345,000 miles D. 3,454 miles
Answer:
The circumference is 6908 miles.
Step-by-step explanation:
C=πd
C=π*2200
C=3.14*2200
C=6908
Option B is correct.
Answer:
b
Step-by-step explanation:
PLEASE HURRY Find the sum of the first 10 terms in the series: -3, 9, -27, 81... a. -14763 c. 44286 b. 4920 d. 59049
Answer:
C.
Step-by-step explanation:
First find the pattern. The pattern is you multiply the number before by -3.
Just start with x as the first number.
x, -3x, 9x, -27x, 81x, -243x, 729x, -2187x, 6561x, -19683x
Add them all up: -14762
Now multiply by -3:
44286
The required sum of the first 10 terms in the series is given as 44286. Option C is correct.
Given that,
The sum of the first 10 terms in the series: -3, 9, -27, 81... is to be determined.
Geometric progression is a sequence of series whose ratio with adjacent values remains the same.
here,
For Geometric progression,
a = -3
r = 9/-3 = -3
The sum of the 10 terms of GP is given as,
S = a[rⁿ - 1] / [r - 1]
Substitute the value in the above equation,
S = -3[{-3}¹⁰ - 1]/[-3-1]
S = 3/4 [3¹⁰ - 1]
S = 44286
Thus, the required sum of the first 10 terms in the series is given as 44286. Option C is correct.
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Louisa has 4 dogs.
Each dog eats 3/4
of a tin of dog food each day.
Louisa buys 12 tins of dog food.
Has Louisa bought enough dog food to feed her 4 dogs for 5 days?
You must show how you get your answer.
Answer:
No, she has not bought enough dog food to feed her 4 dogs for 5 days.
Step-by-step explanation:
She has 4 dogs which each eat 3/4 of a tin each day, so during each day 3/4 * = 3 tins of food are eaten. She has 12 tins, and 12/3 is 4 days without running out. She has therefore not bought enough dog food to feed her 4 dogs for 5 days.
No, she has not purchased enough dog food to last five days and feeds her four dogs.
What is an expression?The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.
Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.
Each of her four dogs consumes 3/4 of a tin of food every day, making a total of 3 tins of food consumed daily. She has 12 tins, therefore she has 4 days before running out as of 12/3. She hasn't purchased enough dog food as a result to feed her four dogs for five days.
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6.07 which expressions are equivalent to 3(x + 3y + 2x - y
Answer:
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Step-by-step explanation:
Given
[tex]3(x + 3y + 2x - y)[/tex]
Required
Possible Equivalents
To start with; we need to simplify the expression in the bracket;
[tex]3(x + 3y + 2x - y)[/tex]
Collect like terms
[tex]3(x + 2x + 3y - y)[/tex]
[tex]3(3x +2y)[/tex]
At this point; we can conclude that [tex]3(3x +2y)[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Solving further, by expanding the bracket
[tex]3(3x +2y)[/tex]
[tex]3*3x +3*2y[/tex]
[tex]9x +6y[/tex]
At this point; we can also conclude that [tex]9x +6y[/tex] is equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Hence,
[tex]3(3x +2y)[/tex] and [tex]9x +6y[/tex] are equivalent to [tex]3(x + 3y + 2x - y)[/tex]
Which of the following numbers is the largest?
12 hundredths
0.025
9 thousandths
0.1
None they are all small
The label on the car's antifreeze container claims to protect the car between -40°C and 140°C. To covert Celsius temperature to Fahrenheit temperature, the formula is
c= 5/9(F – 32). Write a compound inequality to determine the Fahrenheit temperature range at which the antifreeze protects the car.
Which is the graph of 2x - 4y > 6?
4
TY
417
41Y
N
2.
N
N
a
2
4
2
4 -2
-2
-4 -2
-2
2
-4-2
2
AN
-2
X
Answer:
Step-1: the x-intercept and the y-intercept
2x - 4y = 6
For y = 0, we get the x-intercept.
2x - 4(0) = 6
2x = 6, and then divide by two on both sides.
Hence, the x-intercept is
For x = 0, we get the y-intercept.
2(0) - 4y = 6
-4y = 6, and then divide by -4 on both sides.
Hence, the y-intercept is y = -3/2 = ( 0, -3/2)
The graph of the inequality 2x - 4y > 6 is the same as y < 0.5x - 1.5
How to determine the graph?The inequality is given as:
2x - 4y > 6
Divide through by 2
x - 2y > 3
Subtract x from both sides
- 2y > -x + 3
Divide both sides by -2
y < 0.5x - 1.5
See attachment for the graph of the inequality 2x - 4y > 6
Read more about inequalities at:
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The expression below is the factorization of what trinomial?
(5x + 6)(3x - 2)
O A. 15x2 + 8x+12
B. 15x2 + 4x-12
O C. 15x2 + 4x+12
О
D. 15x2 + 8x-12
Answer:
D. 15x^2 + 8x - 12
Step-by-step explanation:
To solve this problem, simply expand the factorization and find the polynomial.
5x * 3x = 15x2
5x * -2 = -10x
6 * 3x = 18x
6 * -2 = -12
You are left with 15x2 - 10x +18x - 12, but you need to combine like terms, leaving you with the correct answer: 15x2 + 8x - 12.
Answer:
D.
Step-by-step explanation:
(5x+6)(3x-2)=5x*3x-5x*2+6*3x-6*2=15x^2-10x+18x-12=15x^2+8x-12
If ∠ABC and ∠CBD are supplementary angles, then m∠ABC + m∠CBD = 180° represents the definition of Question 2 options: A) complementary angles. B) supplementary angles. C) triangle sum. D) congruence.
Answer:
I would think it is supplementary.
Step-by-step explanation:
If 2 angles equal 180 degrees, then they are supplementary.
solve this please. find the sum
Answer:
1
Step-by-step explanation:
a + b - c
Let's solve for the first triangle.
1 + 3 - 4
4 - 4 = 0
Now for the second triangle.
2 + 5 - 6
7 - 6 = 1
Add 0 and 1.
0 + 1 = 1
Answer:
1
Step-by-step explanation:
1+3=4-4=0
2+5=7-6=1
0+1=1
Consider the density curve below.
0.25
х
1
2
3
4
5
Find the percent of the area under the density curve where x is less than 4.
Answer:
Check Explanation.
Step-by-step explanation:
Although, the density curve for this question is missing and isn't available online, I would use an example of another density curve to explain how this could be easily done.
From the density curve attached to this question, the total area under the curve is the are of the triangular shape formed by this curve with the x-axis.
Total Area under the curve = ½×base×height
= ½ × (5-1) × 0.5 = 1 square unit
Area under the density curve where x is less than 4 is a trapezium.
Area of a trapezium = ½ (a+b) h
For the area under the density curve where x is less than 4,
a = 0.5, b = (0.5/4) = 0.125, h = (4-1) = 3
Area under the density curve where x is less than 4 = ½ (0.5+0.125) × 3 = 0.9375 square unit
In terms of the total area, Area under the density curve where x is less than 4 covers
(0.9375/1) × 100% = 93.75%
Hope this Helps!!!
The perimeter of a rectangle is 16 inches. The equation that represents the perimeter of the rectangle is , where l represents the length of the rectangle and w represents the width of the rectangle. Which value is possible for the length of the rectangle
Answer:
6 and 2
Step-by-step explanation:
6+6=12
2+2=4
12+4=16
Pleaseee helpp
A student skipped a step when she tried to convert 26 hours into seconds,
and she got the following incorrect result:
25 hours (60 seconds)
(1 minute)=
- 1560 seconds
What conversion ratio did she skip in this multiple step conversion?
A.
1 hour
60 minutes
B.
60 seconds
1 minute
C.
1 minute
60 seconds
D.
60 minutes
1 hour
Choose improper fraction that is equivalent to mixed number 4 3/10
Answer:
Step-by-step explanation:
Answer:43/10
Step-by-step explanation:
in grade school i was taught the “MAD” method which stands for multiply add divide, so you would take 10 times 4, add 3, which will give you your fraction which could also be used to divide. the answer is 43 over 10.
Vanessa has a lot of headbands. Twenty are pink, 32 are blue, and 16 are black. If she picks a headband at random, what is the probability that it will not be black?
Answer:
[tex]\dfrac{13}{17}[/tex]
Step-by-step explanation:
all headbands: 20+32+16 = 68
headbands that aren't black: 68-16 = 52
the probability: [tex]\frac{52}{68}=\frac{13}{17}[/tex]
Evaluate the expression for
a = 30, b = 30, c = 7, d = 24:
a + b = c = d.
Answer:
Not possible
Step-by-step explanation:
a + b = c = d Substitute
30 + 30 = 7 = 24 Add
60 = 7 = 24 This is not possible because these numbers aren't equal.
Alex drives at an average speed that is 3/4 of the average speed that Roy's train travels. Alex takes 40 minutes to travel 65 km in her car. Roy travels for 1 hour and 15 minutes on his train. How far does Roy travel to 2 dp?
Answer:
Distance = 162.5 to 2dp.
Step-by-step explanation:
Alex car drives 65km = 40mins we round up to 1hr
= 1/2 x 65 + 65 = 32.5 +65 = 97.5 km p/h
Roy is 1/4 faster (As Alex speed is 3/4 of Roy)
To find 3/4 we divide by 3 then, add the 97.5 km etc..
97.5/3 = + 32.5km = 130 km/ph
To check we only have to divide by 4
130 / 4 = 32.5
We know 32.5 is 1/4 we can add this on as 15minutes.
130 km = 1hr +
32.5 km = 15 mins
Distance = 162.5 km
Answer:
162.50 km
Step-by-step explanation:
Alex: 40 minutes for 65 km
speed = distance/time = (65 km)/(40 min) * (60 min)/(1 hr) = 97.5 km/h
Alex's speed = 3/4 of Roy's speed
Roy's speed = (Alex's speed)/(3/4) = (97.5 km/h)/(0.75) = 130 km/h
speed = distance/time
distance = speed * time
time = 1 hour + 15 minutes = 1 hour + 15/60 hour = 1.25 hour
distance = 130 km/h * 1.25 hour = 162.50 km
Where is the blue dot on the number line?
Answer:
0.58 is where the blue dot on the number line is
Answer:
The blue dot is at -0.58
Which of the following circles have their centers on the Y axis
Answer:
Hi, please provide a photo or options to pick from. I will answer then.
Step-by-step explanation:
Solve for x in the triangle. Round your answer to the nearest tenth.
Answer:
sin23° can be written as x / 17 or 0.39. That means we can write x / 17 = 0.39 which gives us x = 6.63.
How many faces does this pyramid have? A net has a rectangular base and 4 triangles on the sides. faces
Answer:
5 faces
Step-by-step explanation:
Faces:
=> 1 rectangular face+4 triangular face = 5 faces
Answer:
a pyramid has has 5 Faces.
Step-by-step explanation:
The 4 Side Faces are Triangles. The Base is a Square. It has 5 Vertices
a net with a rectanguler base and 4 triangles will form a rectanguler pyramid
Pls help me with this quick
Answer:
-9
y= x + 3
2
2
Step-by-step explanation:
its simple just follow my steps
Answer:
Step-by-step explanation:
[tex]g^{-1} (-3)=7\\[/tex]
let h(x)=y
y=2x-3
flip x and y
x=2y-3
2y=x+3
[tex]y=\frac{1}{2}(x+3)\\or~h^{-1}(x)=\frac{1}{2}(x+3)\\(h^{-1} oh)(x)=h^{-1}(h(x))=h^{-1}(2x-3)=\frac{1}{2}(2x-3+3)=\frac{1}{2}(2x)=x\\(h^{-1}oh)(1)=1[/tex]
For an experiment, Marie brought a container filled with 30 grams of snow into a warm environment. After 5 minutes, 21% of the snow had melted. How many grams of snow were remaining in the container after the 5 minutes?
I could use some more help
Answer:
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Step-by-step explanation:
Given
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
Required
2A - 4B
To solve 2A - 4B, we first multiply matrix A by 2 and matrix B by 4
So, if
[tex]A = \left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = 2 *\left[\begin{array}{ccc}-1&9&2\\10&-10&2\\-5&6&-5\end{array}\right][/tex]
[tex]2A = \left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right][/tex]
If
[tex]B = \left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
then
[tex]4B = 4*\left[\begin{array}{ccc}7&-1&-1\\6&-4&-3\\-10&10&-7\end{array}\right][/tex]
[tex]4B = \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
So; 2A - 4B becomes
[tex]\left[\begin{array}{ccc}-2&18&4\\20&-20&4\\-10&12&-10\end{array}\right] - \left[\begin{array}{ccc}28&-4&-4\\24&-16&-12\\-40&40&-28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-2-28&18-(-4)&4-(-4)\\20-24&-20-(-16)&4-(-12)\\-10-(-40)&12-40&-10-(-28)\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&18+4&4+4\\20-24&-20+16&4+12\\-10+40&12-40&-10+28\end{array}\right][/tex]
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Hence, 2A - 4B is equivalent to
[tex]\left[\begin{array}{ccc}-30&22&8\\-4&-4&16\\30&-28&18\end{array}\right][/tex]
Please I need help with this ASAP..Thanks
Answer:
Qu.3 a = 70 degree.
Qu 4. a = 6 b= 4 c = 15 d =9
Step-by-step explanation:
Rules of parallelogram show that diagonal adjacent angles are equal
Then 110 = 110 and 110+110 = 220
Then as angles equal 360 degree we subtract.
a * 2 = 360-220 = 140 degree
Where there are two angles we divide by 2 to find one of them = a as both measures equal double;
a = 140/2 = 70 degree.
Qu 4. a = 6 b= 4 c = 15 d =9
without calculator we simplify
a= 3/4 x 8 = 1 x 8 - 1/4 = 6 = 3/4 +1/4 = 1 then 1 *8 = 8 then 8 -1/4 = 6 or go decimal 0.75 * 8 = 0.40 + 5.60 + total = 6
b = 2/6 x 12 = 1/6 x 12 (2) = 2 (2) = 4 = 1/6 *2 is the same as 2/6 we then *12
c = 3/2 x 10 = 1/2 x 10 (3) = 5 (3) = 15 = 1/2 *3 is the same as 3/2 we then *10
d = 3/12 x 36 = 1/4 x 36 = 9 = decimal 0.25 x 36 = 1.50 | + 7.5 = 9
Help please will mark u brainliest !!!!!
Step-by-step explanation: To make a line paralle to another, the slope has to be the same such as the "m" in "y=mx+b" the y-intercept or "b" could be different. In this case, the slope is -7. So the question mark should be -7.
Answer:
The correct answer is
[tex]y = -7x -3[/tex]
Step-by-step explanation:
Find the slope of the original line and use the point-slope formula [tex]y-y1= m (x-x1)[/tex] to find the line parallel to [tex]y= -7x+2[/tex]
[tex]y=-7x-3[/tex]
Hope this helps!
- Quinn <3
Help please. I’m just totally confuse. You might have to zoom in to solve. Sorry in advance for the terrible quality that’s how I’m seeing it as well
Answer:
I know that (A) is correct for the fisrt one.
Step-by-step explanation:
What is the value of x?
Answer: 98 is your answer
Step-by-step explanation: