The value included in the solution to the given inequality is:
x = -5.
What is the inequality that models this situation?Everything to the left of the circle at x = -2 is shaded, that is, all values less than x = -2, hence the inequality is:
x < -2.
Researching the problem on the internet, the options for the values that belong to the solution are:
-5, -2, 0, 3.
Due to the open circle, -2 is not in the inequality, 0 and 3 are greater than -2, hence they are not in the inequality, then the value included in the solution to the given inequality is:
x = -5.
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helpppp quick pointssss
Answer:
x = - 6
Step-by-step explanation:
A table representing the function f(x) = 2(three-halves) Superscript x is shown below.
The truth of the given function that we have here is The function increases at a constant multiplicative rate.
How to solve for the multiplicative rate of the constantThe table is given as
x 0 1 2 3
f(x) 2 3 4.5 6.75
We have x ranging from 0 to 3 while y ranges from 2 to 6.75.
The observations that we can make about the y values is that they produce the next value at the same rate of multiplication.
This is shown here
2 x 1.5 = 3
3 x 1.5 = 4.5
4.5 x 1.5 = 6.75
Hence we can conclude that it increases at a constant multiplicative rate of 1.5.
Complete questionA table representing the function f(x) = 2(three-halves) Superscript x is shown below. A 2-column table has 4 rows. The first column is labeled x with entries (0, 1, 2, 3). The second column is labeled f (x) with entries 2, 3, 4.5, 6.75. What is true of the given function? The function increases at a constant additive rate. The function increases at a constant multiplicative rate. The function has an initial value of 0. As each x value increases by 1, the y values increase by 1.
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Place the following equation into quadratic form.
-7 = (x + 8)^
The representation of the equation as a standard quadratic equation is given by:
x² + 16x + 71 = 0.
What is the standard representation of a quadratic equation?The standard representation of a quadratic equation is given by:
ax² + bx + c = 0.
In this problem, the equation is:
-7 = (x + 8)²
Then:
x² + 16x + 64 = -7.
x² + 16x + 71 = 0.
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An angle measures 76.8° less than the measure of its supplementary angle. What is the measure of each angle?
Answer:
128.4°, 51.6°
Step-by-step explanation:
x + x - 76.8 = 180
2x = 256.8
x = 128.4
x - 76.8 = 51.6
Find the value of z.
40 points! Pre calc questions, thanks for your help :)
The x intercept is ( 7π/12 , 11π/12 , 19π/12 ,23π/12) , Option B is the correct answer.
What is x intercept of a function ?The x intercept is the point at which the function intersects the x axis , the point at which y = 0
The given function is
g(x) = 2sin2x +1
g(x) = 0 , for x intercept
2sin2x +1 = 0
sin 2x = -1/2
Therefore in the interval ( 0 , 2π) , the x intercept is ( 7π/12 , 11π/12 , 19π/12 ,23π/12)
This can also be seen in the graph attached.
Option B is the correct answer.
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There are some frogs and some lily pads at a pond. If lily pads with frogs on them have two frogs each, then there are 3 lily pads with no frogs on it. If each lily pad has exactly one frog on it, then there are 3 frogs with no lily pad. How many frogs are at the pond
Frogs are at the pond = 12.
Given,
There are some frogs and some lily pads at a pond. If lily pads with frogs on them have two frogs each, then there are 3 lily pads with no frogs on them. If each lily pad has exactly one frog on it, then there are 3 frogs with no lily pad.
= 2( n-3) = n+3
= 2n -6 = n+3
=> n = 9
9 pads, 12 frogs.
Hence, Frogs are at the pond = 12.
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How do I find circle arcs
Answer:
the arc length of a circle can be calculated with the radius Central angle using the arc length formula
1 length of an hour is equal to zero into hour where zero is in radian
2 length of an art is equal to zero into ratio upon 180 into hour where zero is in degree
By the congruent supplements theorem, what can you conclude? anglecbg is-congruent-to angledbg anglefbc is-congruent-to angledbg anglecbg is supplementary to angledbf. anglefbc is supplementary to angledbg.
By the Congruent Supplements Theorem, we can conclude that,
∠FBC ≅ ∠DBG.
What is Congruent Supplements Theorem?
The Congruent Supplements Theorem states that two angles are said to be congruent if they are supplements of the same angle or even congruent angles.
If there are 4 lines such that, right angles are created when a horizontal line with the points F, B, and G crosses a vertical line with the points A, B, and E at point B. Between angles F and B and A and G, a third diagonal line with the points D, B, and C is intersecting the other two lines at point B. At points A, C, and G, there is a fourth line that joins three other lines.
Drawing Conclusion
In case the angle FBC and angle CBG are supplementary angles, angle DBG and angle DBF are another pair of supplementary angles, and angle CBG is-congruent-to angle DBF, we can apply congruent supplement theorem and draw the following inference,
∠FBC ≅ ∠DBG
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Answer: tis B :D
Step-by-step explanation:
Find an equation for the line that passes through the points (4, -3) and (-2, 5)
Step-by-step explanation:
* start by finding the gradient/ slope of the line using the two points*
after finding the gradient you can now use the formula/ equation of any straight line which is *y = m×x + c*
Evaluate the function rule for the given value. f(x) = 3x for x = –4
Answer:
f(x)=-12
Step-by-step explanation:
Since x=-4 substitute -4 into the equation
f(x)=3*-4
f(x)=-12
Hope this helped!
Jaime spent $7.61 at the concession stand. This is $3.50 more than 3 times the amount of
money that Erin spent. How much money did Erin spend?
Answer:
jsjsjd b ebejisnskskhdbd zkzkz z.
To factor the expression 3x2 – 9x, Caleb found the GCF as shown.
List the factors:
3x2 = 3 • x • x
9x = 3 • 3 • x
GCF = 3 • 3 • x • x = 9x2
What is Caleb’s error?
Answer:
Caleb’s error was :
instead of selecting the least exponent ,Caleb took the highest exponent.
Step-by-step explanation:
3x² = 3 • x • x
(in this factorization the exponent of 3 is 1 and the exponent of x is 2)
9x = 3 • 3 • x
(in this factorization the exponent of 3 is 2 and the exponent of x is 1)
• The common factors of 3x² and 9x are 3 and x
In order to determine the GCF ,we have to Compare the exponents of the common factors then take the numbers which have the least exponent value.
• in the factorization of 3x² the exponent of 3 is 1
and in the factorization of 9x the exponent of 3 is 2
The least exponent is 1 Then we take it.
• in the factorization of 3x² the exponent of x is 2
and in the factorization of 9x the exponent of x is 1
The least exponent is 1 Then we take it.
Conclusion:
GCF(3x² , 9x) = 3¹ × x¹ = 3x
The product of two consecutive positive integers is 194 more than the next integer. What is the largest of the three integers?
Answer:
16
Step-by-step explanation:
let x be a positive integer
mathematically, the statement: “The product of two consecutive positive integers is 194 more than the next integer” means x(x + 1) - 194 = x + 2
………………………………
Solving the equation x(x + 1) - 194 = x + 2 for x :
x(x + 1) - 194 = x + 2
⇔ x² + x - 194 = x + 2
⇔ x² - 194 = 2
⇔ x² = 196
⇔ x = 14 or x = -14
Since -14 < 0 then the solution to our equation is x = 14
Therefore
The largest integer of the three is x + 2 = 14 + 2 = 16
Verification:
14 × 15 − 194 = 210 − 194 = 16
The height of AXYZ is the
distance from point Y to XZ
Find the area of the
triangle. Round your answer
to the nearest tenth, if
necessary. y(4,5) a(2,1) x(0,2) z(4,0)
pls help quick:(
Answer:
areas of AXYZ=10 square units1
Answer:
10 units squared
Step-by-step explanation:
Area of a triangle = 1/2 × base × height
Use the distance between two points formula to find the measure of the height and base of ΔXYZ.
Distance between two points
[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]
[tex]\textsf{where }(x_1,y_1) \textsf{ and }(x_2,y_2)\:\textsf{are the two points}[/tex]
Height of Triangle
Define the points:
[tex]\textsf{Let }(x_1,y_1)=(2,1)[/tex][tex]\textsf{Let }(x_2,y_2)=(4,5)[/tex]Substitute the points into the distance formula to find the height of the triangle:
[tex]\begin{aligned}\implies \sf height & =\sqrt{(4-2)^2+(5-1)^2}\\& = \sqrt{2^2+4^2}\\& = \sqrt{20}\end{aligned}[/tex]
Base of Triangle
Define the points:
[tex]\textsf{Let }(x_1,y_1)=(0,2)[/tex][tex]\textsf{Let }(x_2,y_2)=(4,0)[/tex]Substitute the points into the distance formula to find the height of the triangle:
[tex]\begin{aligned}\implies \sf base & =\sqrt{(4-0)^2+(0-2)^2}\\& = \sqrt{4^2+(-2)^2}\\& = \sqrt{20}\end{aligned}[/tex]
Area of Triangle
[tex]\begin{aligned}\implies \sf Area & = \dfrac{1}{2} \times \sf base \times height\\& = \dfrac{1}{2}\sqrt{20}\sqrt{20}\\& = \dfrac{1}{2}(20)\\& = 10 \sf \:\:units^2 \end{aligned}[/tex]
Select the correct answer from each drop-down menu.
Consider triangles ABC and QPRshown.
Triangle ABC is
triangles are
B
triangle QPR. Since the transformations
Reset
Next
, the
Triangle ABC and triangle QPR are similar triangle based on the side-angle-side similarity theorem.
What are similar triangles?Two triangles are said to be similar if they have the same shape and the ratio of their corresponding sides are in the same proportion. Also, corresponding angles are congruent.
Triangle ABC and triangle QPR are similar triangle based on the side-angle-side similarity theorem.
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Answer:
down below
Step-by-step explanation:
Hope this helps =)
which of the following has the same unit rate as $5 for 2 pounds
a. $20 for 8lb
b. $16 for 6lb
c. $24 for 8lb
d. $12 for 4lb
make sure to show your work
[tex] \qquad \qquad \bf \huge\star \: \: \large{ \underline{Answer} } \huge \: \: \star[/tex]
[ a ] $ 20 for 8 lb
[tex]\textsf{ \underline{\underline{Steps to solve the problem} }:}[/tex]
[tex]❖ \: \sf \:unit \: \: rate = simplest \: \: ratio \: in \: which \: it\: exists[/tex]
[tex] \qquad◈ \: \: \sf \: \cfrac{5}{2} \: \: \$ \:per \: \: lb[/tex]
Now, check out the options -
[ a ]
[tex] \qquad◈ \: \: \sf \: \cfrac{20}{8} [/tex]
( on simplifying )
[tex] \qquad◈ \: \: \sf \: \cfrac{5}{2} \: \: \$ \:per \: \: lb[/tex]
Same as the given one.
[ b ]
[tex] \qquad◈ \: \: \sf \: \cfrac{16}{6} [/tex]
( on simplifying )
[tex] \qquad◈ \: \: \sf \: \cfrac{8}{3} \: \: \$ \:per \: \: lb[/tex]
Not the same.
[ c ]
[tex] \qquad◈ \: \: \sf \: \cfrac{24}{8} [/tex]
( on simplifying )
[tex] \qquad◈ \: \: \sf \: 3 \: \: \$ \:per \: \: lb[/tex]
Not the same.
[ d ]
[tex] \qquad◈ \: \: \sf \: \dfrac{12}{4} \: \: [/tex]
( on simplifying )
[tex] \qquad◈ \: \: \sf \: 3 \: \: \$ \:per \: \: lb[/tex]
Not the same.
[tex] \qquad \large \sf {Conclusion} : [/tex]
The Correct answer is [ a ] $ 20 for 8 lb
You enter a room. 2 dogs, 4 horses, 1 giraffe and a duck lie on the bed. 3 hens fly over a chair. How many legs are there on the floor?.
Answer:
38 legs
Step-by-step explanation:
dog=4 legs
horse=4 legs
giraffe= 4 legs
duck = 2 legs
2x4+4x4+1x4+1x2
8+16+4+2=38
Express the following linear equations in the form ax + by + c = 0 and indicate the values of a , b , c in each case :
i ) -2x + 3y = 6
ii) 2x = -5y
[tex] {\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Let's solve ~
Question - 1 :
[tex]\qquad \sf \dashrightarrow \: - 2x + 3y = 6[/tex]
[tex]\qquad \sf \dashrightarrow \: - 2x + 3y - 6[/tex]
[tex]\qquad \sf \dashrightarrow \: (- 2)x + (3)y + (- 6)[/tex]
comparing it to general equation, we get :
[tex] \sf\dashrightarrow \: a = - 2[/tex][tex] \sf\dashrightarrow \: b = 3[/tex][tex] \sf\dashrightarrow \: c= - 6[/tex]Similarly,
Question - 2 :
[tex]\qquad \sf \dashrightarrow \: 2x = - 5y[/tex]
[tex]\qquad \sf \dashrightarrow \: 2x + 5y = 0[/tex]
[tex]\qquad \sf \dashrightarrow \: (2)x + (5)y + 0 = 0[/tex]
comparing it with general equation, we get :
[tex] \sf\dashrightarrow \: a = 2[/tex][tex] \sf\dashrightarrow \: b = 5[/tex][tex] \sf\dashrightarrow \: c = 0[/tex]What are the solutions to the equation x2−12x+100=0?
Answer:
[tex]x=6+8i[/tex]
[tex]x=6-8i[/tex]
Step-by-step explanation:
[tex]x^2-12x+100=0[/tex]
solve by quadratic formula.
[tex]\frac{-b+-\sqrt{b^2-4(a*c)} }{2*a}[/tex]
[tex]\frac{12+\sqrt{(-12)^2-4*(1*100)} }{2*1}[/tex]
[tex]\frac{12-\sqrt{(-12)^2-4*(1*100)} }{2*1}[/tex]
which is
[tex]x=\frac{12+16i}{2}[/tex]
[tex]x=\frac{12-16i}{2}[/tex]
Simplify.
[tex]x=6+8i[/tex]
[tex]x=6-8i[/tex]
Solved.
Hope this helps.
A local ice cream store sells three flavors of ice cream during a busy summer month. During this month, there were 566 orders of vanilla ice cream, 400 orders of strawberry ice cream, and 1,224 orders of chocolate ice cream. What is the experimental probability that strawberry ice cream was ordered during this month?
answer options:
204/365
14/207
40/219
283/1095
giúp mik vs=)) mik đang cần gấp
Answer:
c
Step-by-step explanation:
Please help its very hard
This histogram is skewed to the left and its distribution's center would be three (3).
What is a histogram?A histogram is used to graphically represent a set of data points into user-specified ranges, especially through the use of rectangular bars.
In this scenario, we can infer the following about the histogram distribution's center, spread, and overall shape:
This histogram is skewed to the left.Its distribution's center would be three (3). The spread implies that more students are between 58-59 and 60-61 inches.The shape shows that many of the values are at the lower end.Read more on histogram here: brainly.com/question/21304143
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Cassandra already has $224 in a bank account.
She decides to save more by depositing $18 each week.
The amount of his savings M depends on the number of weeks elapsed n .
This relationship is represented using the equation M = 18n + 224.
Graphically, how would the line of this relationship change if Cassandra deposited $14 a week?
Please choose an answer.
The line will undergo a downward vertical translation.
The line will undergo a vertical translation upwards.
The inclination of the line will decrease.
The inclination of the line will increase.
Answer:
the inclination of the line will decrease
Step-by-step explanation:
If Cassandra changes the amount she deposits from 18 to 14, the slope changes to 14. So the new equation is M=14n + 224. The 224 is still the same, because that is the initial amount, and the new situation hasn't said anything about changing that, so it will not have any vertical translations. With that being said, as a result the slope will be less, so you can see it as "less vertical", so the inclination of the line will decrease
In a board game, negative number cards represent moving backward and positive number cards represent moving forward. For example, Nuha drew a card with 444 and moved forward 444 spaces.
Raha draws a card with 000.
What does 000 represent in the board game?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
The number of spaces she moved on her last turn.
(Choice B)
B
Not moving any spaces.
(Choice C)
C
Losing all points.
Answer:
not moving any spaces
can someone solve this for me pls¿
I don’t understand this that much
By using the definitions of distance and number line, the distance between a and b on the number line is 10.97 units, not 0.47 units. (Right choice: A)
What choice is wrong about two integers?
Herein we must determine what choice is false with respect to two integers, one negative and other positive. The first choice represents a false proposition as:
|a - b| = |- 5.72 - 5.25| = |- 10.97|
|a - b| = 10.97
By using the definitions of distance and number line, the distance between a and b on the number line is 10.97 units, not 0.47 units. (Right choice: A)
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The triangles are similar. Write a similarity statement for the triangles.
Hope this helps you
.......
22. A house is sliding down a mountain. It moves one inch the first day, two more inches the
second day, four more inches the third day, etc. What is the total distance it will have moved in 15
days? Convert your unit of measure to a more reasonable one
Please help me I’ll mark you brainlest
The house would have slid 910 yards in 15 days.
What is a Geometric progression?A geometric progression is a sequence in which successive terms differ by a common ratio.
It is a sequence in which the ratio of two consecutive terms is a constant.
Analysis:
first term, a= 1
second term, ar = 2
third term, ar^2= 4
common ratio = ar/a = 2/1 = 2
Sum of the G.P where n = 15
sum of G.p = a([tex]\frac{r^{n} - 1}{r-1}[/tex])
= 1([tex]2^{15}[/tex] - 1)/2 - 1 = 32768 - 1 = 32768 inches
converting the inches to yard, where 1 yard = 36 inches
so 32768/36 = 910 yards
In conclusion, the house would slide 910 yards in 15 days.
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What is the slope of the line passing through the points (1, 2) and (5, 4)?
[tex]\Large\maltese\underline{\textsf{A. What is Asked}}[/tex]
What is the slope of the line passing through the point (1,2) and (5,4)
[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]
Formula used, here [tex]\bf{\dfrac{y2-y1}{x2-x1}[/tex]
_______________________________________________________
[tex]\bf{\dfrac{4-2}{5-1}[/tex] | simplify
[tex]\bf{\dfrac{2}{4}[/tex] | reduce
[tex]\bf{\dfrac{1}{2}[/tex]
[tex]\rule{300}{1.7}[/tex]
[tex]\bf{Result:}[/tex]
[tex]\bf{=Slope:\dfrac{1}{2}[/tex]
[tex]\boxed{\bf{aesthetic\not101}}[/tex]
Answer:
1/2
Step-by-step explanation:
Subtract the second point on the you axis and