Answer:
Option 1.
Step-by-step explanation:
Note: In second inequality "<x" is missing after 5.
Consider the given inequalities are
[tex]y-x>-4[/tex]
[tex]2y-5<x[/tex]
If (2,3) is solution of given system of inequalities, then the above inequalities must be satisfy by the point (2,3).
Substitute x=2 and y=3 in the above inequalities and that should be true.
[tex]3-2>-4\Rightarrow 1>-4[/tex] True
[tex]2(3)-5<2\Rightarrow 1<2[/tex] True
Therefore, the correct option is 1.
Which of the following describes the location of the opposite of the number that R represents on this line? Answer Options At a distance of 4 tick marks above 0 At a distance of 4 tick marks below 0 At a distance of 8 tick marks below 0 At a distance of 8 tick marks above 0
Answer:
At a distance of 4 tick marks above
Step-by-step explanation:
Choose the correct answer. Mapping relation chart with two ovals. Left oval contains negative 2, 0, 1, 3, 4. Right oval contains 1, 3, 4, 6. Negative 2 points to 3. 0 points to 3. 1 points to 1. 3 points to 4. 4 points to 6. Which relation is represented by the arrow diagram? {(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)} {(3, –2), (3, 0), (1, 1), (4, 3), (6, 4)} {(–2, 1), (0, 3), (1, 3), (3, 4), (4, 6)} {(3, –2), (3, 0), (1, 1), (3, 4), (4, 6)} bad answers will be reported
Answer:
{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}
Step-by-step explanation:
The points are (-2, 3), (0, 3), (1, 1), (3, 4) and (4, 6) so the answer is {(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}
Answer:
{(–2, 3), (0, 3), (1, 1), (3, 4), (4, 6)}
Step-by-step explanation:
I suck at explain and dont want to say the wrong thing and misword but hope I helped :)
What is the slope of the line?
Answer: 3/4
Step-by-step explanation:
Following the rise over run rule it goes 4 on the x axis and then 3 on the y axis
Triangle Q S R. Angle Q is 98 degrees and angle R is 37.6 degrees. Triangle T U V. Angle U is 98 degrees and angle V is 37.6 degrees. Answer these questions about finding the missing angle measures. What is the measure of ∠Q? What is the measure of ∠T? What can be concluded about these triangles?
44.4 degrees
44.4 degrees
The triangles are similar.
Step-by-step explanation:
The measurements of missing angles are 44.4 each and the triangles are similar.
What are similar triangles?Two triangles are said to be similar if they have congruent corresponding angles and their corresponding sides are in equal ratios.
Given that, there are two triangles, ΔQSR and ΔTUV, where ∠Q and ∠U = 98° and ∠V and ∠R = 37.6°, we need to find the measurement of third angle in both and the relation between the triangles,
Using the angles sum property of a triangles,
∠Q + ∠S + ∠R = 180°
∠T + ∠U + ∠V = 180°
Therefore,
∠S = 180°-(37.6°+98°)
∠S = 44.4
Similarly,
∠T = 44.4
Since, all the corresponding angles are congruent therefore, the triangles are similar.
Hence the measurements of missing angles are 44.4 each and the triangles are similar.
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2 Points
Which of the following is the correct factorization of the trinomial below?
- 7x2 - 5x + 18
A. (-7x- 9)(x+2)
B. -7(x-6)(x+1)
C. -1(7x - 9)(x + 2)
D. (-7x + 9)(x - 2)
SUBMIT
Answer:
C
Step-by-step explanation:
1. Factor a negative one out of the problem.
-1( 7x^2 +5x -18)
2. Factor.
{Factors of 7= 7 &1}
3. (7x ___) (x _____)
Factors of 18= 6,3,18,1,2,9
5 needs to be postive.
Translate the following into an algebraic expression: If it would take Mark m hours to clean the house alone and with his brother Sam they can clean the house together in t hours. How many hours would it have taken Sam if he was working alone?
Answer:
s = t - m
Step-by-step explanation:
Assuming s equals the amount of time it would take Sam, subtracting the amount of time it takes Mark from the time it takes them together would give you the time Sam would take since with Sam's help, the time would equal t hours. Then without Mark's help is how long it would take him.
Compute the missing data in the table for the following exponential function . Leave your answer in decimal form.
x
1
2
3
4
5
6
7
y
0.5
0.25
0.125
0.0625
?
0.01563
0.00781
a.
0.03753
c.
0.03125
b.
0.0379
d.
0.03951
Answer: Option C: 0.03125
Step-by-step explanation:
we have an exponential equation, so we have:
f(x) = A*r^x
we have that:
f(1) = A*r^1 = A*r = 0.5
f(2) = A*r^2 = 0.25
f(3) = A*r^3 = 0.125
f(4) = A*r^4 = 0.0625
f(5) = A*r^5 = ?
we want to find the value f(5)
first, let's take the quotient:
f(2)/f(1) = (A*r^2)/(A*r) = r = 0.25/0.5 = 0.5.
then we have:
f(x) = A*0.5^x
and f(1) = A*0.5 = 0.5
then A = 0.5/0.5 = 1.
now we know that our function is f(x) = 0.5^x.
then, if we want to find f(5) we have:
f(5) = 0.5^5 = 0.03125
Then the correct option is option c.
Two intersecting lines l and m form an angle of 56° with each other. The reflection of a point (–4, 1) along the line l followed by a reflection along line m will cause a ________ rotation. answers: A) 28° B) 56° C) 180° D) 112°
Answer:
D) 112°
Step-by-step explanation:
Reflection is a type of transformation that require the turning of a point or an object about a reference point line.
In the given question, when the point is first reflected about l, it rotates at an angle of 56°. Then reflecting it about m give a total rotation of 112° by the point. Thus, the point (-4, 1) is rotated twice the angle between lines l and m.
What is the value of x?
Answer:
x = 65
Step-by-step explanation:
interior angles = 180°
45° + (2x - 5)° = 180°
(2x - 5)° = 180° - 45°
(2x - 5)° = 135°
2x° = 135° - 5°
2x° = 130°
x° = 130° ÷ 2
x° = 65°
x = 65
A ball is released at a height of 8 inches to roll inside a half - cylinder. It rolls to a height of 2 inches on the other side of the cylinder on roll 1. each time it rolls up a side of the cylinder, the ball reaches a point that is 1/4 as high as it had reached on the other side. This explicit formula models the height of the ball, in inches, the nth time it rolls up a side of the cylinder. A. 1 inch B. 1/8 inch C. 1/4 inch D. 1/2inch
Answer:
C) 1/8 inch
Step-by-step explanation:
4×4 square is divided into 16 equal parts. One 1×1 square is placed in the center, as shown in the picture. Calculate a the number of squares. please help i need your assistance
Answer:
16 squares
Step-by-step explanation:
select the correct statement about the function represented by the table. A. It is an exponential function because the y-values increase by an equal factor over equal intervals of x values. B. It is a linear function because the difference y - x for each row is constant. C. It is an exponential function because the factor between each x and y value is constant. D. It is a linear function because the y values increase by an equal difference over equal intervals of x-values.
Answer: D.
Step-by-step explanation:
The common difference between each y-value is 18.
80 - 62 = 18
62 - 44 = 18
44 - 26 = 18
The function stays the same for every interval of the x-values
(1, 26)
(2, 44)
(3, 62)
Since the increase in the y-value is the same with equal intervals of x-values, the function represents the linear function. Thus, option D is correct.
What is function?Function is the expression that defines the relationship between the independent and dependent variables.
Determine the difference between the consecutive y-values.
44-26=18
62-44=18
80-62=18
98-80=18
It can be observed that the difference in the consecutive y-values is same, which is, 18.
Since the increase in the y-value is same with equal interval of x-values, the function represents the linear function.
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The formula to calculate the gravitational force between two objects is F, = GM1M2/r^2
where M1 and M2 are the masses of the objects, G is the gravitational constant and
r is the distance between the objects. Solve for M1 in terms of Fg, G, M2 and r.
Answer: M1=?
Solving for M1 in terms of Fg, G, M2 and r yields;
M1 = Fr²/GM2To solve for M1 in terms of F, G, M2 and r;
We are required to make M1 the subject of the formula as follows;
F = (G M1M2)/r²By cross product;
Fr² = G M1M2Afterwards; by dividing through by G M2; we have;
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evaluate this exponential expression
Answer:
171
Option D is the correct option.
Solution,
[tex]4. {(2 + 5)}^{2} - {5}^{2} \\ =4. {(7)}^{2} - 5 \times 5 \\ =4 \times 7 \times 7 - 5 \times 5 \\ = 196 - 25 \\ = 171[/tex]
Hope this helps..
Good luck on your assignment...
Answer:
[tex]171[/tex]
Answer D is correct.
Step-by-step explanation:
[tex]4 \times {(2 + 5)}^{2} - {5}^{2} \\ 4 \times {7}^{2} - 25 \\ 4 \times 49 - 25 \\ 196 - 25 \\ = 171[/tex]
There below! Can somebody help me please?
Answer: C. 24 units
Step-by-step explanation:
The circumference of a circle is 2πr. Let's say x = 1/3r. Thus, the area of circle A relative to circle B is 1:3. Thus, circle B is 3 times larger than circle A. So, simply divide 64π by 4 to get 16π. Then multiply 16π*3=48π. For the circumference of a circle to be 48, the radius would have to be 24.
Hope it helps <3
Answer:
The answer is C, 24 units.
Step-by-step explanation:
Let [tex]r_A[/tex] be the radius is circle A and [tex]r_B[/tex] be the radius of circle B.
Radius of circle A is 1/3 of the radius of circle B, or:
[tex]r_A=\frac{1}{3}r_B[/tex]
[tex]3r_A=r_B[/tex]
The sum of their circumferences is [tex]64\pi[/tex]. In other words:
[tex]2\pi r_A +2\pi r_B = 64\pi[/tex]
Substitute [tex]r_B[/tex]:
[tex]2\pi(r_A +r_B)=64\pi[/tex]
[tex]2\pi (r_A +3r_A)=64\pi[/tex]
[tex]4r_A=32, r_A=8[/tex]
[tex]r_B=3r_A, r_B=3(8)=24[/tex]
Put this into slope form x/2 + 2y= 6
Answer:
y=-1/4x +3
Step-by-step explanation:
x/2 + 2y = 6
Subtract x/2 from both sides
2y=-x/2 +6
Simplify by dividing by 2
y=-1/4x +3
Solve: 16x2 − 80 = 0 Round the answer to the nearest hundredth. x = −0.45 and x = 0.45 x = −2.24 and x = 2.24 x = −8.94 and x = 8.94 x = −9.80 and x = 9.80
Answer:
x = −2.24 and x = 2.24
Step-by-step explanation:
16x^2 − 80 = 0
Add 80 to each side
16x^2 =80
Divide each side by 16
x^2 = 80/16
x^2 =5
Take the square root of each side
x = ± sqrt(5)
x = ±2.236067977
Answer:
x = 2.24 OR x = -2.24
Step-by-step explanation:
=> [tex]16x^2-80 = 0[/tex]
Adding 80 to both sides
=> [tex]16x^2 = 80[/tex]
Dividing both sides by 16
=> [tex]x^2 = 80/16\\x^2 = 5[/tex]
Taking sqrt on both sides
=> x = ±√5
=> x = ±2.24
So,
Either,
x = 2.24 OR x = -2.24
Simplify 27/25 A. 1/7 B. 3/9 C. 3/5 D. 9/15 I will mark you as brainliest
Answer:
27/25 simplified is 1 2/25 none of your answers work
Step-by-step explanation:
Answer:
27/25
Step-by-step explanation:
27/25
Simplify the fraction if possible.
= 27/25
The improper fraction cannot be simplified further.
Marie is saving money for home repairs. To date, she has saved $1,438. She needs at least $1,828 for the repairs. She plans to set aside $39 per week to add to her current savings. If this situation is modeled by the inequality below, how many more weeks, x, does she need to continue saving in order to have enough money for the repairs? $1,438 + $39x > $1,828 A. x > 84 B. x > 23 C. x > 10 D. x > 29
Answer:
c
Step-by-step explanation:
1828-1438=390
390÷39=10
PLEASE HELP simplify the expression: 2/3÷(-4)-[ 1/6-8/6] A. 1 B. 29/24. C. -24/17. D. 23/24
Answer:
A. 1
Step-by-step explanation:
2/3 ÷ (-4) - (1/6-8/6)
Solve for brackets.
2/3 ÷ (-4) - (-7/6)
2/3 ÷ (-4) + 7/6
-2/12 + 7/6
Make denominators equal.
-2/12 + 14/12
12/12
= 1
*PLEASE ANSWER* Which known figures make up this unknown figure?
Answer:
C
Step-by-step explanation:
it's a half circle , rectangle and triangle that can exactly be carved out of the figure
Answer:
C
Step-by-step explanation:
half-circle ; rectangle ; triangle
I have a hat that contains six nickels and five pennies. I draw coins from the hat at random, without replacement. Find the probability that after drawing four coins, I have removed at most two pennies from the hat.
Answer:
53/66
Explanation:
We can use complementary counting to find the probability of picking the outcomes we don't want, and then subtracting that from the whole. The outcomes we don't want are PPPP and PPPN.
Probability of picking PPPP: 5/11 * 4/10 * 3/9 * 2/8 = 120/7920 = 1/66
Probability of picking PPPN: 5/11 * 4/10 * 3/9 * 6/8 = 360/7290 = 3/66
We can arrange PPPN in four different ways (PPPN, PPNP, PNPP, NPPP) so we need to multiply by 4, giving 12/66.
The total of these two probabilities is 13/66. Subtracting from 66/66, the answer is 53/66.
53/66 is the probability that after drawing four coins.
What is Probability?It is a branch of mathematics that deals with the occurrence of a random event.
Given that a hat contains six nickels and five pennies
Drawn coins from the hat at random, without replacement.
We need to find the probability that after drawing four coins in which removed at most two pennies from the hat.
We use complementary counting to find the probability of picking the outcomes.
Probability of picking PPPP:
5/11 × 4/10 × 3/9 × 2/8
= 120/7920
= 1/66
Probability of picking PPPN:
5/11 × 4/10 × 3/9 × 6/8
= 360/7290
= 3/66
Four different ways of arranging PPPN is (PPPN, PPNP, PNPP, NPPP)
3/66×4= 12/66.
The total of these two probabilities is 13/66.
1-13/66
53/66
Hence, 53/66 is the probability that after drawing four coins.
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f(x) = 1/2 x-5
What is f(6)?
8
-2
1
7
Answer:
f(6) =-2
Step-by-step explanation:
f(x) = 1/2 x-5
Let x = 6
f(6) = 1/2 *6-5
=3 -5
= -2
Answer:
[tex]-2[/tex]
Step-by-step explanation:
[tex]f(6)=\frac{1}{2}6-5 = -2[/tex]
What is the equation of the line that is parallel to the given
line and passes through the point (-4,-6 )?
-10
8.
6
(8,4)
x = -6
x= -4
2
2 4 6
8 10 x
y=-6
y=-4
-10 -8 6 4 -22
4
(46)
-6
8
10
Answer:
y=-6
Step-by-step explanation:
The line shown is a horizontal line via the y-axis and has the equation y=4. A parallel line to it is a line that doesn't pass it. It may even have the form y=a wherein a is the y-coordinate of its points. The point (-4,-6) is on the line so y=-6 is the line.
please mark me brainliest!
y=-6 is the equation of the line that is parallel to the given line and passes through the point (-4,-6 )
The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is
m=y₂-y₁/x₂-x₁
The slope of the line passing through points ( -8, 4) and (8, 4)
m=4-4/8+8
=0
Slope is zero.
The slope of the parallel line will be also zero.
Now equation of line passing through (-4, -6) which is parallel.
Let us find y intercept
-6=-4(0)+b
-6=b
So the equation will be y=-6.
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Which of the following are techniques used in geometric constructions with paper folding?
Check all that apply.
A.Creating arcs and circles with the compass
B.Marking points
C.Measuring line segments by folding the paper and matching the endpoints
D.Folding the paper and aligning marks seen through the paper
The techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.
What is geometric constructions?The geometric construction is the method by which the figures of geometry are drawn using the different geometric instruments.
The techniques used in geometric constructions with paper folding are listed below.
Marking the points on the paper.Folding the paper and orienting marks which are visible through the paper.Drawing the line segments.Thus, the techniques used in geometric constructions with paper folding are marking points and folding the paper and aligning marks seen through the paper.
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Answer:
Drawing line segments
Marking Points
Folding the paper and aligning marks seen through the paper
ASAP!!!!!!! The graph represents the money collected at the movie theater on Saturday. Find the domain when the maximum number of people allowed in the movie theater is 30 people. graph of y equals 2 times x plus 40 with x axis labeled Number of People and y axis labeled Amount of Money 0 ≤ y ≤ 30 40 ≤ x ≤ 100 0 ≤ x ≤ 30 40 ≤ y ≤ 100
Answer:
40 ≤ y ≤ 100
Step-by-step explanation:
Answer: Domain must include the x value. With a maximum of 30 people allowed in the theater, the domain is between 0 and 30, or 0<x>30
Step-by-step explanation:
Plz help with this question, I will mark brainliest. Answer needed fast.
Answer:
n = [tex]\frac{5}{3}[/tex] (C - 2.5)
Step-by-step explanation:
Given
C = [tex]\frac{3}{5}[/tex] n + 2.5 ( subtract 2.5 from both sides )
C - 2.5 = [tex]\frac{3}{5}[/tex] n
Multiply both sides by [tex]\frac{5}{3}[/tex] to clear the fraction
[tex]\frac{5}{3}[/tex] (C - 2.5) = n
Answer:
n = 5/3(C - 2.5)
Step-by-step explanation:
C = 3/5n + 2.5
Subtract 2.5 on both sides.
C - 2.5 = 3/5n
Multiply 5/3 on both sides.
5/3(C - 2.5) = n
Helpppp me plz answer this for me plz
Answer:
0.1
Step-by-step explanation:
There are 10 letters and only 1 of them is a G so the chance of drawing a G is 1/10 = 0.1.
Answer:
0.1 is the right answer
(SAT Prep) Find the value of x in each of the following exercises: WILL MARK BRANLIEST!!!
Answer:
Since the lines are parallel, the alternate interior angle to 35° is also 35°. Using the exterior angle theorem (exterior angle = sum of its remote interior angles) we can write:
x + 35 = 105
x = 70°
What is true about the diagonals of
the shapes below? Select all that
apply.
Click the bottom right arrow to go
to the next set. Click the
checkmark (available on the last
set) to submit all your answers.
Parallelograms and Rhombi:
far
Diagonals bisect each other
Diagonals are perpendicular
Diagonals are not congruent
Diagonals bisect the angles
Diagonals are congruent
Answer: B
Step-by-step explanation: it could not be A bc A is 3.4 and 34.8 and its not correct