A. Graph D B. Graph C C. Graph B D. Graph A
Answer:
The correct option is C
Step-by-step explanation:
The given equation is:
y ≥ 2x - 3
For x= 2
y = 2(2) - 3 = 1
For x=0
y = 2(0) - 3 = -3
WE have two point:
(2,1) and (0,-3)
Graph both points on the coordinate plane.
Join both points and extend the line to find the graph of the line y = 2x - 3
To find the area the represents y ≥ 2x - 3, consider any point, suppose (0,0)
Substitute (0,0) into y ≥ 2x - 3
0 ≥ 2(0) - 3
0 ≥ -3
Hence the equation satisfies.
Which means the area which has the point (0 , 0) shows the region for the equation y ≥ 2x - 3.
The graph is shown.
solve the problem(3+4)⋅(22+3)
Answer: 175
Step-by-step explanation:
Ok so remember PEMDAS (parentheses, exponents, multiplycation/division, addition/subtraction
so (3+4) and (22+3) are in perentheses so you must do those first: 3+4=7 and 22+3=25
ok so now you have (7)*(25) which equals 175
there u be go
Which scenario best matches the linear relationship expressed in the equation y = 13.50x + 300? 1. Bobby has $300 in the yearbook fund and spends $13.50 on each yearbook. 2. Bobby has $13.50 in the yearbook fund and spends $300 on each yearbook. 3. Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold. 4. Bobby has $13.50 in the yearbook fund and earns $300 for each yearbook sold.
Answer:
Choice 3: Bobby has $300 in the yearbook fund and earns $13.50 for each yearbook sold.
Step-by-step explanation:
From the equation y = 13.50x + 300, we can derive that:
300 is the initial value, or y-intercept.
13.50 is the rate of change, or slope.
Let's go through each choice and eliminate:
1. Incorrect, because spending $13.50 on each yearbook would mean a negative slope.
2. Incorrect, because the initial value is $300, not $13.50.
3. Correct, because $300 is the initial value and earning $13.50 means a positive slope.
4. Incorrect, because the initial value should be $300.
Therefore, choice 3 is the correct scenario.
which two of the following have the same value as 4.032?
Answer:D
Step-by-step explanation:
It’s D for sure
Answer:
A and D
Step-by-step explanation:
A. four and thirty-two thousandths. B (4 x 1) + ( 3 x 1/10) + ( 2 x 1/100). C. 4 ones + 3 tenths + 2 hundredths. D. 4 + 0.03 + 0.002
(These are the options for reference.) -->
We first need to know that, 4 = ones 0 = tenths 3 = hundreths 2 = thousandthsSo, let's look at A. --> four and thirty-two thousandths --> we immediately know and this is correct as 1 because it says 4, and thirty-two thousandths = 0.032 so 4 + 0.032 = 4.032 and thus, it is correct
B. --> (4x1) + (3x1/10) + (2x1/100) => 4 + 3/10 + 2/100 = 4.32 so B. is incorrect.
C. --> 4 ones + 3 tenths + 2 hundredths = same as above, 4.32 so C. is incorrect as well.
D. --> We know this has to be correct because the question says which of the following 2 not 1 have the same value as 4.032 and -->
thus, A and D are our answers.
Hope this helps!
Solve −4(2x − 1) = −6(x + 2) − 2. (1 point)
Answer:
X=-4.525
Step-by-step explanation:
-4(2x-1)=-6(x+2)-2.1.
-8x+4=-12x-12-2.1.
-8x+12x=-14.1-4
4x=-18.1
X=-18.1/4
X=-4.525
heeeeeeeeeeeeeeeeelp
3 - 9a =27 show work pls
Hey there! :)
Answer:
a = -8/3
Step-by-step explanation:
Given:
3 - 9a = 27
Subtract 3 from both sides:
3 - 3 -9a = 27 -3
-9a = 24
Divide both sides by -9:
-9a/(-9) = 24/(-9)
a = -24/9
Simplify the fraction:
a = -8/3
Answer:
[tex]a = - \frac{8}{3} [/tex]Solution,
[tex]3 - 9a = 27 \\ or \: - 9a = 27 - 3 \\ or \: - 9a = 24 \\ or \: a = \frac{24}{ - 9} \\ a = - \frac{8}{3} [/tex]
Hope this helps..
Good luck on your assignment..
Express $\sqrt{x} \div\sqrt{y}$ as a common fraction, given: $\frac{ {\left( \frac{1}{2} \right)}^2 + {\left( \frac{1}{3} \right)}^2 }{ {\left( \frac{1}{4} \right)}^2 + {\left( \frac{1}{5} \right)}^2} = \frac{13x}{41y} $
A common fraction is a fraction whose denominator is the same with another fraction.
[tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]
The expression is given as:
[tex]$\sqrt{x} \div\sqrt{y}[/tex]
Express as fraction
[tex]$\sqrt{x} \div\sqrt{y} = \frac{\sqrt x}{\sqrt y}[/tex]
Rewrite as a common fraction
[tex]$\sqrt{x} \div\sqrt{y} = \sqrt \frac{x}{y}}[/tex]
Hence, [tex]$\sqrt{x} \div\sqrt{y}[/tex] as a common fraction is [tex]\sqrt \frac{x}{y}}[/tex]
Read more about common fractions at:
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please help asap !!!!!!!!!
Answer:
D. 6\sqrt{5}-4\sqrt{7}
Step-by-step explanation:
[tex]3\sqrt{5}-2\sqrt{7}+\sqrt{45}-\sqrt{28} \\3\sqrt{5}-2\sqrt{7}+\sqrt{9*5}-\sqrt{4*7}\\3\sqrt{5}-2\sqrt{7} +3\sqrt{5}-2\sqrt{7}\\ 6\sqrt{5}-4\sqrt{7}[/tex]
What are the differences and definitions of incenter, orthocenter, centroid, and circumcenter when dealing with triangles?
Answer:
The orthocenter is the point of intersection of the three heights of a triangle.
The centroid is the point of intersection of the three medians.
The circumcenter is the point of intersection of the three perpendicular bisectors.
The incenter is the point of intersection of the three angle bisectors.
Step-by-step explanation:
Consider the following position function. Find (a) the velocity and the speed of the object and (b) the acceleration of the object.
r(t) = (9,t^3, e^-t), for t greater than or equal to 0
Answer: v = 3t^2, -e^-t ;
Speed = √ 9t^4 + (-e^-t)^2 ;
a(t) = 6t, e^-t
Step-by-step explanation:
Given the position function at time 't' for t greater than or equal to 0:
r(t) = (9,t^3, e^-t)
The Velocity of 'v' is the first derivative of r with respect to 't' :
d/dt(9) = 0
d/dt(t^3) = 3t^3-1 = 3t^2
y = (e^-t) =
Using chain rule :
Let u = -t
y = e^u ; dy/du = e^u
du/dt = -1 ;
Therefore dy/dt = dy/du * du/dt
dy/dt = -1 * e^u ; -e^u ; u = -t
dy/dt = -e^-t
Therefore,
v = 3t^2, -e^-t
The magnitude of velocity 'v ' = speed
Speed = √v1^2 + v2^2
Speed = √(3t^2)^2 + (-e^-t)^2
Speed = √ 9t^4 + (-e^-t)^2
Acceleration(a) = derivative of velocity
d/dt(3t^2) = 6t
d/dt (-e^-t) :
Using chain rule :
dy/dt = -e^-t
Let u = -t ; du/dt = -1
-e^u ; dy/du = -e^u
Therefore, dy/dt = -1 * -e^u
u = -t
dy/dt = e^-t
Therefore, acceleration:
a(t) = 6t, e^-t
. (01.05) 1.Write the equation of a line with a slope of 4 and a y-intercept of −3. (2 points) A- 4x + y = −3 B-4x − y = −3 C- y = −3x + 4 D- y = 4x − 3 2. (01.05) Write the equation of the line that passes through (−1, 5) and has a slope of 3 in point-slope form. (2 points) A- x + 1 = 3(y − 5) B- x − 5 = 3(y + 1) C- y − 5 = 3(x + 1) D- y + 1 = 3(x − 5) 3. (01.05) Write the equation of the line that passes through (1, 5) and (−2, 14) in slope-intercept form. (2 points) A- y = 3x + 2 B- y = 3x + 8 C- y = −3x − 2 D- y = −3x + 8
Answer:
The correct option is 4.
Step-by-step explanation:
Step-by-step explanation:
The slope intercept form of a line is
.... (1)
where, m is slope and b is y-intercept.
We need to find the equation of line whose slope is 4 and y-intercept is -3.
Substitute m=4 and b=-3 in equation (1), to find the equation of required line.
The equation of required line is y=4x-3.
Therefore the correct option is 4.
What is the standard form of this function? f(x) = -(x − 4)2 + 2 A. f(x) = -x2 + 4x − 30 B. f(x) = x2 + 8x − 14 C. f(x) = -x2 + 8x − 14 D. f(x) = x2 + 4x − 30
Answer:
C
Step-by-step explanation:
Standard form is f(x) = ax² + bx + c.
f(x) = -(x - 4)² + 2
= -(x² - 8x + 16) + 2
= -x² + 8x - 16 + 2
= -x² + 8x - 14
Hi,
the correct answer is C
This is the correct equation: f(x) = -x^2 + 8x - 14
XD
P.S. (on the image I sent the answer was B but on your test the correct one is C. The equation is still the same.)
The following quadrilateral is a parallelogram.
S
T
3x - 8
x + 10
U
The length of side TU is __units long.
Answer:
19 units
Step-by-step explanation:
In a parallelogram, opposite sides are congruent. So, we can set up a formula that looks like this: 3x - 8 = x + 10. When you solve for x, you'll get 9. 9 + 10 = 19 units
The length of the side TU of the parallelogram is 19 units long.
What is a parallelogram?A parallelogram is a quadrilateral with opposite pair of sides parallel and equal.
How to solve the given question?In the question, we are given a parallelogram STUV.
The length of the side TU is given as x + 10.
The length of the side VS is given as 3x - 8.
As the sides, TU and VS are opposite to each other, and the quadrilateral STUV is a parallelogram, so they are equal.
∴ TU = SV
or, x + 10 = 3x - 8
or, x + 10 - 3x = 3x - 8 - 3x (Subtracting 3x from both the sides)
or, -2x + 10 = -8 (Simplifying)
or, -2x + 10 - 10 = -8 - 10 (Subtracting 10 from both sides)
or, -2x = -18 (Simplifying)
or, -2x/(-2) = -18/(-2) (Dividing both sides by -2)
or, x = 9 (Simplifying).
Now, TU = x + 10 = 9 + 10 = 19.
∴ The length of the side TU of the parallelogram is 19 units long.
Learn more about parallelograms at
https://brainly.com/question/24056495
#SPJ2
50 points!!! What is the common ratio of the geometric sequence below? –2, 4, –8, 16, –32, ...
Answer:
-2
Step-by-step explanation:
each number is being multiplied by -2 to get to the next number
A. -4/2 but if you factor it it will be -2
THE IMAGE DOWN BELOW MATH PLEASE HELP ME WITH THIS ALEGEBRA IM CRYING YALL
Answer:
80%
Step-by-step explanation:
100/15=6 2/3
12*6 2/3 = 80
80 percent increase
Answer:
80%solution,
Old price (P1)=$15
New price(P2)=$27
percent increase:
[tex]( \frac{p2 - p1}{p1} ) \times 100 \: percent \\ = ( \frac{27 - 15}{15} ) \times 100 \: percent \\ = ( \frac{12}{15} ) \times 100 \: percent \\ = 80 \: percent[/tex]
Hope this helps...
Good luck on your assignment...
TJ's Cat Food plans to use tins that are the shape of cylinders.
The internal measurements of a tin are shown.
8 cm
T
5 cm
I
b) Calculate the volume of cat food that the tin contains.
Round your answer to 1 decimal place
Answer:
V = 251.3 cm³
Step-by-step explanation:
Diameter 8 cm
Radius = 4 cm
Height = 5 cm
Volume of Cat Food contained by the tin can = [tex]\pi r^2 h[/tex]
Where r = 4 cm, h = 5 cm
V = (3.14)(4)²(5)
V = (3.14)(16)(5)
V = 251.3 cm³
Answer:
251.3 cm³
Step-by-step explanation:
The diameter is 8 cm
So the radius is 8/2 = 4 cm
The height is 5 cm
Volume of tin can:
[tex]\pi r^2 h[/tex]
r = 4 & h = 5
[tex]V =\pi (4)^2 (5)\\V = \pi (16)(5)\\V = 251.3[/tex]
Find the volume of a sphere 8 feet in diameter use 3.14 round your answer to the nearest tenth
(A) 150.7
(B) 267.9
(C) 83.7
(D)67.0
What one is it help me please
Answer:
B 267.9
Step-by-step explanation:
the formula is again the same, so you plug 4 in (because the radius is half the diameter) and solve to get around 267.9
Please help :) Is the relationship shown by the data linear? If so model the data with an equation.
Answer:
y-5=5/4(x-1)
Step-by-step explanation:
the slope is 1.25
m=y2-y1/x2-x1=10-5/5-1=5/4=1.25
y-5=(5)/(4)(x-1)=
y=(5)/(4)x+(15)/(4) this one is linear
it is a linear function and the
Knowing that 6 < x < 7 and 10 < y < 12, find the possible values of
x + y, y - x, xy, y/x
Answer:
x+y:
16<x+y<19
y-x:
3<y-x<6
xy:
60<xy<84
y/x:
10/7<y/x<2
Step-by-step explanation:
For x+y, it'll be
6<x<7
+
10<y<12
=16<x+y<19
____
y-x:
10<y<12
--
6<x<7
because of the negative sign the x inequality is reversed so it is -7<x<-6
and then you do the math and get 3<y-x<5
________
xy:
10<y<12
x
6<x<7
you multiply and get 60<xy<84
________
y/x:
10<y<12
divided by
6<x<7
now what you do is you have to switch around the signs for the x inequality and everything becomes its reciprocal. So the x inequality becomes 1/7<1/x<1/6 and then you multiply and get 10/7<y/x<12/6
Please give me a brainliest award. This took so long. I hope this helped.
Inequalities are used to make non-equal comparisons between two expressions. The inequality signs are: [tex]\ne, >, <, \ge, \le[/tex].
The solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, ...,4.9\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Given that:
[tex]6 < x < 7[/tex] and [tex]10 < y < 12[/tex]
To calculate the possible values of [tex]x + y[/tex], we simply add both inequalities; i.e.
[tex](6 < x < 7) + (10 < y < 12)[/tex]
This gives:
[tex]6 + 10 < x + y < 7 + 12[/tex]
[tex]16 < x + y < 19[/tex]
This means that the possible values of [tex]x + y[/tex] are between 16 and 19 (both exclusive). So, some possible values are:
[tex]x + y= \{17,18\}[/tex]
To calculate the possible values of [tex]y - x[/tex], we simply subtract the inequality of x from y; i.e.
[tex](10 < y < 12) - (6 < x < 7)[/tex]
This gives:
[tex]10 - 6 < y - x < 12 - 7[/tex]
[tex]4 < y - x < 5[/tex]
This means that the possible values of [tex]y - x[/tex] are between 4 and 5 (both exclusive). So, some possible values are:
[tex]y - x = \{4.5, ...,4.9\}[/tex]
To calculate the possible values of [tex]xy[/tex], we simply multiply both inequalities. i.e.
[tex](6 < x < 7) \times (10 < y < 12)[/tex]
This gives:
[tex]6 \times 10 < x \times y < 7 \times 12[/tex]
[tex]60 < x \times y < 84[/tex]
[tex]60 < xy < 84[/tex]
This means that the possible values of [tex]xy[/tex] are between 60 and 84 (both exclusive). So, some possible values are:
[tex]xy = \{61,62,...83\}[/tex]
To calculate the possible values of [tex]\frac{y}{x}[/tex], we simply divide the inequality of y by x. i.e.
[tex](10 < y < 12) \div (6 < x < 7)[/tex]
This gives:
[tex]\frac{10}{6} < \frac{y}{x} < \frac{12}{7}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex]
This means that the possible values of [tex]\frac{y}{x}[/tex] are between 1.67 and 1.71 (both exclusive). So, some possible values are:
[tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Hence, the solutions and possible values to the inequalities are:
[tex]16 < x + y < 19[/tex] [tex]\to[/tex] [tex]x + y= \{17,18\}[/tex]
[tex]4 < y - x < 5[/tex] [tex]\to[/tex] [tex]y - x = \{4.5, 4.9...\}[/tex]
[tex]60 < xy < 84[/tex] [tex]\to[/tex] [tex]xy = \{61,62,...83\}[/tex]
[tex]1.67 < \frac{y}{x} < 1.71[/tex] [tex]\to[/tex] [tex]\frac{x}{y} = \{1.67,1.68...1.70\}[/tex]
Read more about inequalities:
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someone please explain this to me!! i don’t understand how they got this answer??
Answer [tex]67\leq t\leq 87=15[/tex]
Step-by-step explanation: It's asking for the range so you have to subtract the the lowest temp with the highest temp. The highest temp is 82 and the lowest 67. 82-67 is 15 but they asked you to write it inequality so [tex]67\leq t \leq 87 = 15[/tex]
Find the smallest number by which 8788 must be multiplied so that the quotient is a perfect cube. Also, find the cube root of the perfect cube so obtained.
Answer:
Hi ,
Cube of a number :
_______________
For a given number x we define cube
of x = x × x × x , denoted by x^3.
A given Natural number is a perfect
Cube if it can be expressed as the
product of triplets of equal factors.
Now ,
Write given number as product of
prime .
8788 = 2 × 4394
= 2 × 2 × 2197
= 2 × 2 × 13 × 169
= 2 × 2 × 13 × 13 × 13
= 2 × 2 × ( 13 × 13 × 13 )
Here we have only triplet of equal
factors i.e 13
To make 8788 into perfect Cube we
have multiply with 2.
Now ,
2 × 8788 = ( 2 × 2 × 2 ) × ( 13 × 13 × 13 )
17576 = ( 2 × 13 )^3 = ( 26 )^3 perfect
Cube
I hope this will useful to you.
Which points lie on the line that passes through point P and is parallel to the given line? Select three options. (–4, 2) (–1, 3) (–2, 2) (4, 2) (–5, –1)
Answer:
So we have (-1,3), (-2,2) and (-5,-1).
Step-by-step explanation:
So we need to find the equation of the line that is parallel to the blue line going through point P.
The slope of the blue line (count the rise/run) is 1/1=1.
Parallel lines have the same slope.
So y=mx+b is the slope-intercept form where m is the slope and b is the y-intercept.
So since the blue line has slope 1 and parallel lines have the same slope then the line going through point P will have slope 1 too.
Point P is actually the y-intercept of the line going through P.
So the equation that is parallel to the blue line going through point P is y=1x+4. b was 4 because it was the y-intercept.
You can also just write y=1x+4 as y=x+4.
Testing the points:
(-4,2)?
Does y=x+4 for this point? 2=-4+4 which gives us 2=0 so no for this point.
(-1,3)?
Does y=x+4 for this point? 3=-1+4 which gives us 3=3 so yes for this point.
(-2,2)?
Does y=x+4 for this point? 2=-2+4 which gives us 2=2 so yes for this point.
(4,2)?
Does y=x+4 for this point? 2=4+4 which gives us 2=8 so no for this point.
(-5,-1)?
Does y=x+4 for this point? -1=-5+4 which gives -1=-1 so yes for this point.
So we have (-1,3), (-2,2) and (-5,-1).
plz help me calculate this
Answer:
17
Step-by-step explanation:
the rise is the new minus the old.
9 - -8 = 9+8 = 17
Answer:
rise in temp= 17℃
Step-by-step explanation:
midnight= -8℃
noon= 9℃
9- (-8)= 17
rise in temp= 17℃
or you could just count the difference on your fingers.
-8, -7 ,-6........ 6, 7,8,9
Suppose 40 bikes stand near a playground. Some of them are bicycles, some of them are tricycles, and two of them have four wheels. John counts all the wheels and gets 100, in total. How many tricycles are there?
Answer:
16 tricycles
Step-by-step explanation:
First, let's make a chart:
Bicycles- x bicycles and 2x wheels
tricycles- y tricycles and 3x wheels
Four wheeled vehicles- 2 bikes (given), 8 wheels
Since the total amout of bikes is 40, that means that x+y+8=40
You can simplify that to x+y=38.
now, we're going to form another equations dealing with the number of wheels.
Since we know that four wheeled vehicles already have only 8 wheels, then that means 2x+3y=92
Solve the system of equations:
2x+3y=92
x+y=38
y will be 16
Step-by-step explanation:
21. The difference between two numbers is 29. If five times the smaller is subtracted from twice the larger,
the result will be one. What is the larger number?
Answer: 48
Step-by-step explanation:
We have to write a system of equations:
The difference between two numbers is 29. Difference means one number (y) minus another number (x) equals 29.
y-x =29
If five times the smaller ( 5 times x , x is the smaller number because is the number to subtract) is subtracted from twice the larger, (2y)
The result will be one
2y-5x =1
Now, we have to multiply the first equation by 2, and subtract the second equation to the first one:
2y -2x = 58
-
2y-5x =1
__________
3x =57
Solve for x:
x =57/3 =19
Replacing the value of x on any equation:
y-x =29
y-19 =29
y = 29+19 = 48
48 (y)> 19(x)
Feel free to ask for more if needed or if you did not understand something.
Brittney is making a graph of the exam scores in intervals of ten for a group of students. Which type of graph would be the most appropriate for Brittney to use? A. line graph B. Venn diagram C. histogram D. circle graph
Answer: she needs histogram.
Answer: Brittney needs a Histogram.
Please help with this
Answer:
A
Step-by-step explanation:
AA stands for angle angle.
For the two triangles given being similar by AA, they should have two equal angles. Of course, once two angles are equal the third one will be equal as well, once the angles of a triangle always add up to 180º.
Therefore, the angle ∠NMO and ∠QPR should be equal.
simplify the following surds √32
Answer:
5.65685424949
Step-by-step explanation:
Answer:
The answer is 5.7
Step-by-step explanation:
square root of 32
√32→ 32 isn't a perfect square so you would only be able to put it into mixed radical form and/or decimal
√(16×2) →break 32 into 2 products, one of which is a perfect square, being 16
√16•√2 → now square 16
4√2 → in mixed radical form
4(1.414213) → multiply
5.65685424 →decimal form
Let f be defined as shown.
What is f^-1(-2)?
Answer:
[tex]\boxed{\sf \ \ \ f^{-1}(-2)=-2\ \ \ }[/tex]
Step-by-step explanation:
hello
in the output check where you can see -2
and then follow the arrow to find the corresponding item in input which is -2
hope this helps