===============================================================
Explanation:
Unfortunately your teacher is a bit vague here, but I'm assuming that the roots listed in the table are the only roots (and there aren't any other roots possible). If other roots were possible, then we'd have infinitely many possible answers and it would greatly muddy up the problem.
So we'll just stick to the basic assumption that the only roots are: -2, 0, and 2.
With that key assumption in mind, let's look at the answer choices to see which are true and which are false.
A) False. This is because we see that f(x) = -15 when x = -3. Note how x = -3 is in the interval [tex](-\infty, 3)[/tex]. In other words, this is a counter example showing that f(x) > 0 is not the case when x is between -infinity and 3.B) True. Over the interval [tex]0 \le x \le 2[/tex], we have f(x) either equal to 0 or a negative value. For the interval 0 < x < 2, we would have f(x) < 0.C) False. The table shows that f(0) = 0 which means we aren't making f(x) < 0 to be the case. D) True. The table shows that if -2 < x < 0, then f(x) is positive. An example of this is f(-1) = 3 which is positive. The f(x) values in this region are above the x axis. E) True. We have f(x) either equal to 0 or something larger when [tex]x \ge 2[/tex] which translates over to the interval notation [tex][2, \infty)[/tex]From that list above, we see that choices B, D and E are true.
Angles 4 and 6 are
because they are
angles.
Answer: Is this a question? Or statement Yes they can be angles
Step-by-step explanation:
-2(5x + 1) > 49
Solve for the inequality and enter your solution
Answer:
x < -51/10
General Formulas and Concepts:
Pre-Algebra
Equality Properties
Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of EqualityStep-by-step explanation:
Step 1: Define
Identify
-2(5x + 1) > 49
Step 2: Solve for x
[Division Property of Equality] Divide -2 on both sides: 5x + 1 < -49/2[Subtraction Property of Equality] Subtract 1 on both sides: 5x < -51/2[Division Property of Equality] Divide 5 on both sides: x < -51/10Answer:
x < -51/10
Step-by-step explanation:
-10x -2 > 49
-10x > 51
x < -51/10
Which best explains why all equilateral triangles are similar?
O All equilateral triangles can be mapped onto each other using dilations.
O All equilateral triangles can be mapped onto each other using rigid transformations.
O All equilateral triangles can be mapped onto each other using combinations of dilations and rigid transformations.
O All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.
Answer:
the correct answer is option 1.
The correct explanation is: All equilateral triangles are congruent and therefore similar, with side lengths in a 1:1 ratio.
What are similar triangles?Those triangles look the same but are different in size.
And in similar triangles,
the corresponding sides are in proportion to each other and the corresponding angles are equal to each other.
In an equilateral triangle, all three sides are congruent, and all three angles are congruent.
Therefore, any equilateral triangle can be transformed into any other equilateral triangle through a combination of translations, rotations, and reflections, without changing the size or shape of the triangle.
Thus, all equilateral triangles are similar, with side lengths in a 1:1 ratio, since they have the same shape but may differ in size.
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Overline MD cong overline LS additional information is necessary to show that triangle MTD cong triangle LGS by SSS?
Answer:
[tex]TD \cong GS[/tex]
Step-by-step explanation:
See comment for complete question
Given:
[tex]TM \cong GL[/tex]
[tex]MD \cong LS[/tex]
Required
The information that shows [tex]\triangle MTD \cong \triangle LGS[/tex] by SSS
By SSS implies that, the three sides of both triangles are congruent
Already, we have:
[tex]TM \cong GL[/tex]
[tex]MD \cong LS[/tex]
The third side of [tex]\triangle MTD[/tex] is [tex]TD[/tex]
The third side of [tex]\triangle LGS[/tex] is [tex]GS[/tex]
So, for both to be congruent by SSS, the third sides must be congruent
i.e.
[tex]TD \cong GS[/tex]
Which is the graph of y = log4(x+3)?
Edge 2021
Answer:
see graph
Step-by-step explanation:
The function that is shown below is the graph of the given function [tex]y = log_{4}(x+3)[/tex] .
What is a function?"A function from a set X to a set Y assigns to each element of X exactly one element of Y. The set X is called the domain of the function and the set Y is called the codomain of the function."
The given function is:
[tex]y = log_{4}(x+3)[/tex]
For [tex]x = -2[/tex], [tex]y = log_{4}(-2+3) = log_{4}1 = 0[/tex]
For [tex]x = -1[/tex], [tex]y = log_{4}(-1+3) = log_{4}2 = 0.5[/tex]
For [tex]x = 0[/tex], [tex]y = log_{4}(0+3) = log_{4}3 = 0.793[/tex]
For [tex]x = 1[/tex], [tex]y = log_{4}(1+3) = log_{4}4 = 1[/tex]
For [tex]x = 2[/tex], [tex]y = log_{4}(2+3) = log_{4}5 = 1.161[/tex]
By putting the values of (x, y) in the graph, we get the graph of [tex]y = log_{4}(x+3)[/tex].
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For each relation, decide whether or not it is a function.
Answer:
Step-by-step explanation:
Relation 1 is a function
Relation 2 is not a function
Relation 3 is a function
Realation 4 is not a function
HELP ASAP
1.
(8,4)
(-4,2)
(4,-8)
(-8,4)
2.
(6,6)
(12,-12)
(-12,12)
(12,12)
3.
(-2,6)
(-4,12)
(4,12)
(12,-4)
Answer:
A(-2,1)》A1(-8, 4)
B(-3,3)》B1(-12,12)
C(-1,3)》C1(-4,12)
HOPE IT HELPS....
Find the H.C.F of these expressions.(2a²+6ac,4a²c+12ac²)
Answer:
Hello,
Answer 8a²c(a+3c) =8a³c+24a²c
Step-by-step explanation:
2a²+6ac=2a(a+3c)
4a²c+12ac²=4ac(a+3c)
H.C.F=2a(a+3c)*4ac=8a²c(a+3c)
Answer:
1st expression:2a×a+2×3×a×c
2nd expression:2×2×a×a+2×2×3×a×c×c
here,
2×a×a+2×3×a×c
2a^a+6ac
(06.04 MC) Dennis drew the line of best fit on the scatter plot shown below: What is the approximate equation of this line of best fit in slope-intercept form?
Answer:
Step-by-step explanation:
In order to write the equation of this line, we need to pick 2 points on the graph where the line goes right through the intersection of the grids. Actually, you only need 1 of these, because the line goes through at (0, 15). Another point then can be (6, 6). Locate this point so you know what I means when I say that the line goes right through where the grids intersect at x = 6 and y = 6 (as opposed to somewhere in the middle of one of these grids). Find the slope between these 2 points:
[tex]m=\frac{6-15}{6-0}=-\frac{9}{6}=-\frac{3}{2}[/tex]
Since there's only one choice with that slope, that is the choice you want.
2. In the triangle below, NE and KL are perpendicular bisectors. Knowing that the sum of interior angles in
KLME is 360 degrees, find a.
Answer:
a = 60°
Step-by-step explanation:
From the picture attached,
In the given triangle,
NE and ML are the perpendicular bisectors of two sides of the triangle.
Therefore, m∠MEK = m∠MLK = 90°
Since, sum of interior angles of polygon KLME = 360°
m∠MEK + m∠MLK + m∠EML + m∠EKL = 360°
90° + 90° + 120° + a = 360°
a = 360° - 300°
a = 60°
someone pls help me tysm will give brainliest !!
Answer:
1. 22:24 and 33:36
2. Yes, because for every time x move two times y will move three times in a graph, just like if a ratio between boys and girls was 2:3 it would mean that for every 2 boys there are 3 girls.
Step-by-step explanation:
11:12 = 22:24 and 33:36
Which side lengths form right triangles? Please help
Answer:
Step-by-step explanation:
A plan of a house is drawn to a scale of 1:50
a) On the plan, the dining room is 14 cm long and 12.4 cm wide. Find, in metres, the real length and width of the dinning room.
b) The lounge is 8 m long and 6.8 m wide. Find, in centimetres, its length and its width on the plan.
Answer:
I tried out part a) not so sure though. I also think that for part b) u have to convert the m to cm then divide the answers by 50
The real length and width of the dinning room is 7 m and 6.2 m.
The length and width of the lounge in centimeters is 800 cm and 680 cm.
How to convert meters to centimeter and vice versa?To convert the meter to cm, multiply the given meter value by 100 cm.
To convert the measurement from centimeters to meters, divide the number of centimeters by 100 or multiply the number of centimeters by 0.01.
According to the question
A plan of a house is drawn to a scale of 1:50
On the plan, the dining room is 14 cm long and 12.4 cm wide.
In meters:1 m = 100 cm
a. Length of the dinning room = 14 cm = [tex]\frac{14}{100}[/tex] = 0.14 m
Width of the dinning room = 12.4 cm = [tex]\frac{12.4}{100}[/tex] = 0.124 m
Actual length = 0.14 × 50 = 7 m
Actual width = 0.124 × 50 = 6.2 m
Hence, the real length and width of the dinning room is 7 m and 6.2 m
b. Length of lounge = 8 m
Width of lounge = 6.8 m
In centimeters:1 m = 100 cm
Length of lounge (cm) = 8 × 100 = 800 cm
Width of lounge (cm) = 6.8 × 100 = 680 cm
Hence, the length and width of the lounge is 800 cm and 680 cm.
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Find the median of :- 25, 37, 27, 38, 29, 20, 39
Answer: The median is 29
Step-by-step explanation:
I started by arranging the data points from smallest to largest to get 20, 25, 27, 29, 37, 38, 39. Then I found the middle number in the data set and got 29.
Make six prime numbers using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9 once each.
~can you plz explain?!
Answer:
2, 3, 5, 7, 11, 13.
Step-by-step explanation:
A prime number is a number that you don't get a whole number when divided by 2 but you do get a whole number when divided by prime numbers such as 3,5,7,11... Basically a number with two factors, it can only be divided by 1 or themselves. for example:
9/2 = 4.5 (this is not a whole number so it might be a prime.
9/3 = 3 (it works when divided by a prime number.
another:
8/2 = 4 (it gives a whole number when divided by 2 therefor, it can't be a prime number.
Answering:
There are 6 prime numbers at the top^^^^.
One possible answer is 2, 3, 5, 41, 67, 89
Another possible answer is 2, 3, 5, 47, 61, 89
Other answers may be possible.
=============================================================
Explanation:
This is a trial and error type of problem. Though with practice it's not as blind of randomly guessing.
We have 9 values here. If we paired them up, then we can form at most 4 pairs (since 9/2 = 4.5 rounds down to 4). That means we won't be able to form six two-digit primes. Some of the primes must be single digits.
We can have 3 single digit primes and 3 two-digit primes since 3+2*3 = 9.
The single digit primes are: 2, 3, 5, 7
Let's say 2 and 5 are definitely locked down to be the single digit group. I'm doing this since we can't have 2 or 5 as the units digit. If the units digit is 2, then 2 is a factor and it's not prime. Similarly, if 5 is the units digit, then 5 is a factor and that two digit value is not prime.
For good measure, we'll throw 3 in there as well and see what happens.
------------------
The digits we have left are: 1, 4, 6, 7, 8, 9
The number 14 isn't prime, but 41 is prime
67 is prime so that's another two values off the list
lastly, 89 is prime so that works as well.
So one possible sequence is 2, 3, 5, 41, 67, 89
Notice how we can swap the 1 and 7 to go from 41,67 to 47,61; this gets us two other primes. So another possible answer is 2, 3, 5, 47, 61, 89
------------------
Side note: having the list of primes on a reference sheet is a handy recommendation. You only need to go up as high as 97 which is the largest two digit prime.
Concrete is made by mixing screenings, cement and sand in the ratio 3:1:15. How much sand would be needed to make 125 tonnes of concrete?
Step-by-step explanation:
it still remains 125 it doesn't change
E) Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional? f) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?
Answer:
Para responder esta pregunta, necesitamos utilizar el gráfico que se ve en la imagen de abajo.
En dicho gráfico, se presenta el porcentaje que gana, en promedio, una mujer comparado con lo que ganaría un hombre en el mismo puesto.
a) Si una mujer en Suiza gana 1300 francos, ¿cuánto gana un hombre en el mismo puesto y con la misma categoría profesional?
Viendo el gráfico, podemos ver que en Suiza una mujer gana el 68% de lo que gana un hombre.
Entonces, si un hombre gana una cantidad X, tendremos:
X = 100%
y la mujer gana 1300 francos, que es el 68%, entonces podemos escribir:
X = 100%
1300 francos = 68%
Ahora podemos tomar el cociente entre esas dos ecuaciones, para así obtener:
X/(1300 francos) = (100%/68%)
Ahora podemos resolver esto para X:
X = (100%/68%)*(1300 francos) = 1911.76 francos.
Un hombre en la misma posición ganaría 1911.76 francos.
b) Un hombre, por término medio, gana en España un sueldo mensual de 1102 euros netos. ¿Cuánto ganaría si fuese mujer?
Viendo el gráfico, podemos ver que una mujer en España gana el 67% de lo que ganaría un hombre en la misma posición.
El sueldo del hombre es 1102 euros, y en este caso, esto es el 100%, entonces:
1102 euros = 100%
Y sea X el sueldo de la mujer, el cual sabemos que representa el 67%, entonces escribimos:
X = 67%
Así, tenemos dos ecuaciones:
X = 67%
1102 euros = 100%
Tomando el cociente, obtenemos:
X/(1102 euros) = (67%/100%)
Resolviendo para X obtenemos:
X = (67%/100%)*(1102 euros) = 738.34 euros
Una mujer en la misma posición ganaría 738.34 euros.
how much more did Low Pricer sell than Leff Store made?
Answer:
1200-800=400
Step-by-step explanation:
low pricer has 6*200
leff has 4*200
subtract the two to find the how much more low pricer sold than leff
An artisan wants to split his equilateral triangular-shaped piece of glass into four equally sized pieces as part of a window design. Explain to him, with a diagram, how to design an inscribed triangle, and show him that the pieces all have equal area.
The triangle QPR having inscribed triangle STU will allow the artisan to divided his glass piece into four equal triangular pieces.
In order to divide an equilateral triangle into four equal triangular glass pieces, the artisan must;
Take S as the mid-point on PA, T as the mid-point on PR, and U as the mid-point on QR. Thus, S, T, and U are the three mid-points on each side of the equilateral triangle QPR. Now, by joining these mid-points S, T, and U, four equal triangles are made(as shown in the figure).Since the triangle is equilateral,
PQ = QR = RP
Mid-point divides the lines into equal parts. So,
PS = SQ = QU = UR = RT = TP
Thus, it is proved that
ΔPST = ΔSTU = ΔTUR = ΔQSU
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Here is Question Two
AB= 9 UNITS
hope it helps you...
Answer:
by Pythagoras theorem
in first
a²+ b² = c²
6² + 9² = c²
36 + 81 = 117
AD = 117
and in second
a² + b² = c²
a² + 6² = 117
a² = 117 - 36
AB² = 81
AB = 9
Solve the equation 5x + 2(2x -23) = -154
[tex]\boxed{\large{\bold{\blue{ANSWER~:) }}}}[/tex]
5x+2(2x-23)=-1545x+4x-46=-1549x-46=-1549x=-154+469x=-108x=[tex]\sf{\dfrac{-108}{9} }[/tex] x=-12Answer:
x = -12
Step-by-step explanation:
5x + 2(2x - 23) = -154
Distribute;
5x + 4x - 46 = -154
Collect like terms
9x - 46 = -154
Add 46 to both sides;
9x = -108
Divide both sides by 9
x = -12
Nick works part-time at a bookstore. His pay varies directly with the number of hours worked. In one week, he earned $120 for 8 hours of work.
a) Define two variables for this relation.
b) Describe the rate of change in words.
c) Determine an equation to represent the relation:
d) Use the equation to determine how many hours Nick must work to earn $345
Answer:
23 hoiurs
Step-by-step explanation:
Given data
a. The two variables are
1. Number of hours worked
2. The amount earned
b. The rate is given as
=120/8
=$15 per hour
c. The equation is given as
rate=Amount earned/ number of hours worked
15= 345/hours
make hours subject of the formula we have
hours= 345/15
hours= 23 hours
Hence he must work for 23 hours
need help asap plz
A rectangle ABCD has a width of 3 inches and a length of 7 inches.
Answer the following questions:
a) What is the Perimeter of the rectangle?
b) What is the Perimeter of the new rectangle if you double the width of rectangle ABCD? How did you find it? How many times bigger or smaller did the new Perimeter get? (You can divide the new Perimeter over the old one to find the times of increase/decrease)
c) What is the Perimeter of the new rectangle if you double the width and length of rectangle ABCD? How did you find it? How many times bigger or smaller did the new Perimeter get compared to the perimeter of rectangle ABCD?
d) Now choose a different shape of your liking and give it your own dimensions. Answer questions a), b), c) and d) for the shape you chose.
e) Can you generalize what happens to the Perimeter if you change one of the dimensions of a shape and what happens when you change both dimensions of the shape?
Answer:
I'm sorry but i only know a) so yeah
anyway a) is 20 in.
Step-by-step explanation:
Hope it helps!
A class is divided evenly into four groups.which could NOT be the total number of students in the class?
A. 46
B. 36
C. 52
Answer:
a. 46
Step-by-step explanation:
not evenly divisible by 4
How do you solve this step-by-step?
Answer:
7 1/20OAmalOHopeO
at a post office always charges a flat one-time fee for any order. One time, Michael sent 35 letters and paid 26 dollars. The next time, he send 18 letters and paid $14.10. How much does the post office charge to send one letter? What is the flat fee?
Answer:
The post office charges $0.7cents to send one letter, and the fee is $1.5
Step-by-step explanation:
its given that s=n(a+c)/2
Express c in terms of s, n and a
Evaluate+the+expression
12-3y/2+v(2y-4/v) for y=3
Answer:
Y=3 but V=??????????????!!what is 7+21?
please help please helppp
Answer:
=28
Step-by-step explanation:
21
+ 7
___________
28
Hope this helps! If it is a simple addition ?
If y=-12 when x=9, find y when x=-4
please answer quickly
Answer: x=3
Step-by-step explanation:
to make y=-4 from -12 you have to divide by 3. so divide the 9 by 3 to get 3 which is your answer
