Answer: C
Step-by-step explanation:
intersection of f(x) and g(x) is x=-3
f(-3)=g(-3)
Answer C
Answer:
The answer is f(-3)=g(-3)
Step-by-step explanation: just took the test hope it helps❤️
Consider the following 8 numbers, where one labelled x
is unknown.
27, 20, 34,
x, 7, 47, 26, 41
Given that the range of the numbers is 63,
work out 2 values of x
Answer: 70 and -16
==========================================================
Explanation:
For now, we'll assume x is the largest value (aka the max)
Let's sort the values from smallest to largest.
7, 20, 26, 27, 34, 41, 47, x
We see that 7 is the smallest item, so,
range = max - min = x - 7
Set this equal to 63 and solve for x
x-7 = 63
x = 63+7
x = 70
So x could be equal to 70.
---------------------------
Next, we'll assume that x is the smallest value
That means the min is x and 47 is now the max
max - min = range
47 - x = 63
-x = 63-47
-x = 16
x = -16
So if x is the smallest value, then it must be -16
----------------------------
Finally, we'll let x be somewhere between 7 and 47
Unfortunately, we can't pin down a specific value here since we could have lots of possible values. Three such examples are x = 8, x = 9, and x = 10. There are many others.
If your teacher is looking for 2 values only, then I would refer to the previous two sections and ignore this section entirely.
Instructions: Find the measure of the missing angle using the Exterior Angle Sum
Theorem
Answer:
It's an isosceles triangle equal 2 sides so
it will be x+67 ° +67 ° =180° ( sum of angle in triangle)
x+134 °=180 °
x =180 - 134
x = 46 °
The measurement of the missing angles in the given triangle is 67.
Use the concept of isosceles triangle defined as:
A triangle with two equal-length sides is said to be isosceles.
An isosceles triangle has equal angles on either side of its equal sides.
In the given figure,
One angle is 67 degrees
And two sides are equal.
Let the missing angle is x°
Since the two sides of this triangle are equal,
So this is an isosceles triangle.
Then two opposite angles must be equal.
For a triangle,
The sum of interior angles = 180°
Therefore,
67° + 67° + x° = 180°
x° = 46°
Hence,
The measurement of the missing angle is 46°
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simplify:-a). (-5a²)²(6ab²)(-3ab²)
Banks and other financial institutions offer incentives for people to keep their money in a savings account.
True or False?
it's true because it gives interset or compensation amount to the individuals or organizations which motivates people to save their money in a saving account
Could someone help me arrange these pairs of points in increasing order of the slopes of the lines joining them. (15, 30) and (20, 40) (12, 32) and (18, 48) (27, 12) and (72, 32) (45, 15) and (60, 20) (27, 2) and (243, 18) (18, 63) and (24, 84) (63, 9) and (84, 12).
Answer:
(e) (27, 2) and (243, 18)
(g) (63, 9) and (84, 12)
(d) (45, 15) and (60, 20)
(c) (27, 12) and (72, 32)
(a) (15, 30) and (20, 40)
(b) (12, 32) and (18, 48)
(f) (18, 63) and (24, 84)
Step-by-step explanation:
Required
Arrange in increasing order of slope
Slope (m) is calculated using:
[tex]m = \frac{y_2 -y_1}{x_2 - x_1}[/tex]
So, we have:
(a) (15, 30) and (20, 40)
[tex]m = \frac{40 -30}{20- 15}[/tex]
[tex]m = \frac{10}{5}[/tex]
[tex]m =2.00[/tex]
(b) (12, 32) and (18, 48)
[tex]m = \frac{48 -32}{18- 12}[/tex]
[tex]m = \frac{16}{6}[/tex]
[tex]m = 2.67[/tex]
(c) (27, 12) and (72, 32)
[tex]m = \frac{32-12}{72- 27}[/tex]
[tex]m = \frac{20}{45}[/tex]
[tex]m = 0.44[/tex]
(d) (45, 15) and (60, 20)
[tex]m = \frac{20-15}{60- 45}[/tex]
[tex]m = \frac{5}{15}[/tex]
[tex]m = 0.33[/tex]
(e) (27, 2) and (243, 18)
[tex]m = \frac{18-2}{243- 27}[/tex]
[tex]m = \frac{16}{216}[/tex]
[tex]m = 0.07[/tex]
(f) (18, 63) and (24, 84)
[tex]m = \frac{84-63}{24- 18}[/tex]
[tex]m = \frac{21}{6}[/tex]
[tex]m = 3.50[/tex]
(g) (63, 9) and (84, 12)
[tex]m = \frac{12 -9}{84- 63}[/tex]
[tex]m = \frac{3}{21}[/tex]
[tex]m = 0.14[/tex]
From least to greatest slope, the pair of points are:
(e) (27, 2) and (243, 18)
(g) (63, 9) and (84, 12)
(d) (45, 15) and (60, 20)
(c) (27, 12) and (72, 32)
(a) (15, 30) and (20, 40)
(b) (12, 32) and (18, 48)
(f) (18, 63) and (24, 84)
Answer:
From least to greatest slope, the pair of points are:
(e) (27, 2) and (243, 18)
(g) (63, 9) and (84, 12)
(d) (45, 15) and (60, 20)
(c) (27, 12) and (72, 32)
(a) (15, 30) and (20, 40)
(b) (12, 32) and (18, 48)
(f) (18, 63) and (24, 84)
Step-by-step explanation:
What expression is equal to (3 x 5) x 4
Answer:
60
Step-by-step explanation:
Step 1:
3 x 5 = 15
Step 2:
15 x 4 = 60
Answer:
well 3. x 5 is 15, then multiply by 4 to get 60.
Step-by-step explanation:
what is the measure of arc MP
Answer:
[tex]m\widehat{MP}=118^{\circ}[/tex]
Step-by-step explanation:
In any circle, the measure of an inscribed angle (an angle created when the intersection of two chords is on the circle) is equal to half of the arc it forms. In this case, [tex]\angle MPN[/tex] is an inscribed angle that forms [tex]\widehat{MN}[/tex]. Therefore, the measure of arc MN must be twice the measure of angle MPN:
[tex]m\widehat{MN}=2\cdot m\angle MPN,\\m\widehat{MN}=2\cdot 31^{\circ}=62^{\circ}[/tex]
Since we want to find the measure of arc MP, we need to know that there are 360 degrees in a circle. Since [tex]\overline{PN}[/tex] is a diameter of the circle (line that has two endpoints on the circle and that passes through the center of the circle), each side of [tex]\overline{PN}[/tex] must be 180 degrees.
Therefore, we have:
[tex]m\widehat{MN}+m\widehat{MP}=180^{\circ},\\62^{\circ}+m\widehat{MP}=180^{\circ},\\m\widehat{MP}=\boxed{118^{\circ}}[/tex]
Picture is right there pls help
Answer: B
Step-by-step explanation:
Using slope formula, change in y (3) over change in x (2) is 3/2. So the equation would be y=3/2x.
Which parent function is represented by the graph?
asap answer pls ----------------
Answer:
C
Step-by-step explanation:
A researcher decides to find out whether giving students positive
reinforcement improves or impairs their grades. The researcher's sample
group consists of the following 8 students:
0 Jack
1 Tucker
2 Susie
3 Jill
4 Charianna
5 Trey
6 Ashton
7 Jordan
52197 66082 97867 49397 47924 78900 59414 64755 48733
Which of the following represents a 5-person group selected for the
treatment group using the first number in the line from a table of random
numbers above?
A. Charianna, Tucker, Jack, nobody, Ashton
B. Tucker, Susie, Trey, Ashton, Jordan
C. Trey, Susie, Tucker, Jordan, Ashton
D. Charianna, Tucker, Jack, Ashton, Trey
Answer: C. Trey, Susie, Tucker, Jordan, Ashton
========================================================
Explanation:
The random sub-sequence 52197 66082 helps directly determine who we pick.
The digit 5 is first of that sequence, so we pick Trey first (as he's the 5th student). Then we pick student #2 next, who is Susie.
Up next is student #1, and that would be Tucker
Up next is student #9, but the list only goes high as 7. So we skip over 9
Jordan is next up since 7 is the next digit
Finally, the last selection is Ashton because 6 follows after.
--------------
In other words, the sequence 52197 6 will lead to these selections in the order provided.
5 = Trey2 = Susie1 = Tucker9 = skip, since it's not on the list7 = Jordan6 = AshtonSide note: if we wanted a 6th student, then we'd have to skip over the next 6 since we cannot pick Ashton twice. The 6th selection would be Jack since he's student #0
PLS ANSWER YA'LL!
A house owner wishes to cover their roof with solar panels. Each solar panel is of the following size.
->The roof section is rectangular 7.2 m by 4.4 m.
->Each solar panel measures 1400 mm by 850 mm.
There needs to be at least a 30 cm gap left at each edge of the roof section. The house owner thinks he can have at least 15 solar panels fitted to the roof section.
Can u agree? If yes, show the working. (Hint: He can rotate the solar panel)
Answer:
Yes
Step-by-step explanation:
The roof is Rectangular :
Dimension of roof section : 7.2 m by 4.4 m
Area of roof = length * width
Area of roof = 7.2 * 4.4 = 31.68 m²
Dimension of solar panels = 1400 mm by 850 mm
Converting to m:
1000mm = 1 m
1400/1000 by 850/1000 = 1.4 m by 0.85 m
Area each solar panel = 1.4 * 0.85 = 1.19 m²
Gap left at each edge :
30cm gap about the 4 edges gives a square with side length 30cm:
30cm = 30/100 = 0.3m
Area of gap left = 0.3² = 0.09 m²
Total area that can be covered = (31.68 - 0.09) m² = 31.59 m²
Maximum number of panels that can be placed on roof section :
Total area that can be covered / area of panel
31.59 m² / 1.19 m²
= 26.54 panels
A running track has two semi-circular ends with radius 27m and two straights of length 90.6m as shown.
Calculate the total distance around the track rounded to 1 DP.
Answer:
350.85
Step-by-step explanation:
90.6*2 = 181.2
27*2 = 54 (diameter)
54*pi = 169.646003294
169.646003294 + 181.2 = 350.846003294
350.846003294 = 350.85
Evaluate:
18 (5n - 4) = [?]
Answer:
90n-72=0
Step-by-step explanation:
18×5n-18×4=0
Ivan sabe que pir su salud debe tomar agua hervida , lleno 3 botellas de agua hervida para empezar los lleno de 7,2 L usando 3 botellas grandes y 5 botellas pequeñas , no lleno otra botella ya que le faltaba 0,5L pero lleno una pequeña mas y le quedaron 0,3L de ahua hervida para tomar ¿Cuanta agua hervida tenia al inicio ivan?
Answer:
Al inicio Iván tenía 8.1 litros de agua hervida.
Step-by-step explanation:
Dado que Iván sabe que por su salud debe tomar agua hervida, y llenó 3 botellas de agua hervida para empezar con 7,2 L usando 3 botellas grandes y 5 botellas pequeñas, y no llenó otra botella ya que le faltaba 0,5L pero llenó una pequeña mas y le quedaron 0,3L de agua hervida para tomar, para determinar cuánta agua hervida tenia al inicio Iván se debe realizar el siguiente cálculo:
Botella grande = -0.5 litros
Botella chica = +0.3 litros
0.5 + 0.3 = 0.8
Así, la diferencia entre una botella grande y una botella chica es de 0.8 litros.
3X + 5(X - 0.8) = 7.2
3X + 5X - 4 = 7.2
8X = 7.2 + 4
X = 11.2 / 8
X = 1.4
3 x 1.4 + 5 x 0.6 = 7.2
7.2 + 0.6 + 0.3 = 8.1
Por lo tanto, al inicio Iván tenía 8.1 litros de agua hervida.
Can someone explain to me by steps on how to do this?
Answer:
h = 8 sqrt(2)
Step-by-step explanation:
Since this is a right triangle, we can use trig functions
sin theta = opp / hyp
sin 45 = 8 / h
h sin 45 = 8
h = 8 / sin 45
h = 8 / (1 sqrt(2)
h = 8 sqrt(2)
Answer:
right answer is option D
Step-by-step explanation:
tan 45 = BC/8. ; BC - Lower side
BC = 8
h = 8sq. + 8sq = √128 = 8√2
Find the BD in the image below
Answer:
x = 10
The both line crosses with a little hyphen, meaning those are same
Answered by GAUTHMATH
PLEASE HELP, AND FAST! I WILL GIVE BRAINLIEST!!
Given the expression: 6x10 − 96x2
Part A: Rewrite the expression by factoring out the greatest common factor.
Part B: Factor the entire expression completely. SHOW THE STEPS OF YOUR WORK.
Answer:
Step-by-step explanation:
factor the numerical coefficients (6 and 96)
HCF 6 and 96 is 6
HCF x^10 and x^2 = x^2
HCF: 6x^2
(6* x^8*x^2 - 16*6 x^2) Take out the highest common factor
6x^2 (x^8 - 16)
Which of the following is a characteristic of science?
Answer:d
Step-by-step explanation:
Answer:
D
explanation:
i got it right on the test
Find the equation of the line that passes through (1,6) and (3,10).
y=2x+4
y=-2x+4
y=-24-4
Oy-23-4
Answer:
m = (y2 - y1) / (x2 - x1) = (10 - 6) / (3 - 1) = 2 slope of line
y = m x + b standard form of straight line
y = 2 x + b where b is the intercept at x = 0
b = y - 2 x
b = 6 - 2 = 4 from our first equation
Also, b = 10 - 6 = 4 check from second equation
y = 2 x + 4 is our equation
Check if y = 6 and x = 1 then
y = 2 * 1 + 4 = 6 verifying the first point given
Which of the following is most likely the next step in the series?
| || H
Oat И
O B. #
och
#
D.
Answer:
D makes sense. I think the answer is D.
If [tex]x[/tex] is real and p=[tex]\frac{3(x^{2} +1)}{2x-1}[/tex], prove that [tex]p^{2}[/tex]-3(p+3) ≥ 0
Answer:
[tex]{ \tt{p=\frac{3(x^{2} +1)}{2x-1}}} \\ { \tt{p(2x - 1) = 3( {x}^{2} + 1) }} \\ { \tt{2px - p = 3 {x}^{2} + 3 }} \\ { \tt{3 {x}^{2} - (2p)x + (p + 3) = 0}} [/tex]
By factorization :
[tex]{ \tt{ ( {p}^{2} - 3)( p + 3) \: is \: the \: zero}}[/tex]
Since the roots are real, they're greater than zero ( 0 < x ≤ +∞ ):
[tex]{ \tt{ ({p}^{2} - 3})(p + 3) \geqslant 0}[/tex]
Graph the inequality.
1
Answer:
hope it helps
Step-by-step explanation:
The difference between the length and width of a rectangle is 7 units. The perimeter is 50 units. Find the dimensions.
Answer:
Step-by-step explanation:
Hello!
(x +x+7)*2 = 50
(2x+7)*2 = 50
4x+14= 50
4x= 50-14
4x= 36
x= 36/4
x= 9
9 et 16cm
Solve the equation by completing the square. Round to the nearest hundredth if necessary. x^2 - x = 25
Answer:
[tex]x1 = - 4.525[/tex]
[tex]x2 = 5.525[/tex]
Step-by-step explanation:
[tex]x1 = \frac{1 - \sqrt{101} }{2} [/tex]
[tex]x2 = \frac{1 + \sqrt{101} }{2} [/tex]
Which is a y-intercept of the continuous function in the table? х – 4 -3 -2 -1 0 1 f(x) -10 0 0 – 4 -6 0 2 O (0,6) O (-2, 0) O (6,0) 0 (0, -2)
Plz Hurry
Answer:
x:-4,-3,-2,-1,0,1
f(x):-10,0,0,-4,-6,0
from the table we can see when x=0, y=-6
Therefore the y-intercept will be (0,-6)
OAmalOHopeO
The y intercept of the continuous function in the table is given by the relation f ( 0 ) = -6
What is a function rule?The function rule is the relationship between the input or domain and the output or range. A relation is a function if and only if there exists one value in the range for every domain value.
A function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.
Given data ,
Let the function be represented as A
Now , the value of A is
Let the values of x be x = { -4 , -3 , -2 , -1 , 0 }
Let the values of y be y = { -10 , 0 , 0 , -4 , -6 }
Now , the y intercept of the function is when the value of x = 0
So , when x = 0 , the value of y = -6
And , f ( 0 ) = -6
Therefore , the y intercept is ( 0 , -6 )
Hence , the y intercept of the function is ( 0 , -6 )
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When solving a quadratic in the form a x squared + b x + c = 0 we are really finding the x–intercepts. These x–intercepts are also called roots. What is another term for roots or x-intercepts? a. exponents c. zeros b. quadratics d. variables Please select the best answer from the choices provided A B C D
What action represents the "!" symbol on a TI 84 plus CE calculator for a Statistics problem??
Answer:
The "!" represents a factorial
Step-by-step explanation:
In math, a factorial when there is an ! followed by a number.
For example, 5! = 5 factorial.
To solve factorials, multiply every integer below the number before the factorial, including the number.
5! = 5 x 4 x 3 x 2 x 1 = 120.
An acute angle of a right triangle measures 30°, and the length of the triangle's hypotenuse is 10 ft. Find the missing angle measure and side lengths.
Answer:
missing angle <60 and side lengths 5, 5[tex]\sqrt{3}[/tex]
Step-by-step explanation:
we understand from the given information that the triangle in question is a special right triangle
and since this is a special triangle the side lengths follows :
the side length that sees <90 is represented by 2x
the side length that sees <60 is represented by x[tex]\sqrt{3}[/tex]
and the side length that sees <30 is represented by x
2x = 10 so x = 5 and x[tex]\sqrt{3}[/tex] = 5[tex]\sqrt{3}[/tex]
Answer the following