Answer:
[tex]f(n)=-3n+24[/tex]
Step-by-step explanation:
A=(1,21)
B=(3,15)
slope:- Δy/Δx=21-15/1-3=6/-2= -3
Equation:-
y-y1=m(x-x1)
y-21=-3(x-1)
⇒y=-21=-3n+3
→ y= -3n+3
y= -3n+24
[tex]-----------[/tex]
hope it helps..
have a great day!!
At a grocery store,39 out of 60 customers use a shopping cart. What percent of the customers use a shopping cart?
Answer:
39 is 65% of 60
65% use a shopping cart.
A student was interested in purchasing notebooks in bulk to get ready for school. Three stores were offering packages of the kind of notebook the student wanted. The table below shows the offers from each store. Order the stores from the best deal to the worst deal for the notebooks.
NEED HELP FAST....Solve the following system of equations graphically. Select the graph that shows the correct solution of the system. 2x + y =3 3y = x - 12.... graph showing two lines intersecting at (3, 3) / graph showing two lines intersecting at (5, -7) / graph showing two lines intersecting at (3, -3) / graph showing two lines intersecting at (-3, -3)
Answer:
Step-by-step explanation:
Answer:
answer is c
Step-by-step explanation:
exponential function b^y=x can be expressed as
Answer:
[tex] {b}^{y} = x \\ x = {b}^{y} \\ log_{b}x = y[/tex]
In ΔSTU, the measure of ∠U=90°, the measure of ∠S=31°, and TU = 77 feet. Find the length of US to the nearest tenth of a foot.
Answer:
US = 128.15 ft
Step-by-step explanation:
tan 31° = 77/US
0.6009 = 77/US
0.6009US = 77
US = 128.15 ft
Answer:
128.7
Step-by-step explanation:
HELP ASAP 50 POINTS
What are the exact solutions of x2 + 5x + 1 = 0 using x equals negative b plus or minus the square root of the quantity b squared minus 4 times a times c all over 2 times a?
x = the quantity of 5 plus or minus the square root of 21 all over 2
x = the quantity of negative 5 plus or minus the square root of 21 all over 2
x = the quantity of 5 plus or minus the square root of 29 all over 2
x = the quantity of negative 5 plus or minus the square root of 29 all over 2
Answer:
B. x = the quantity of negative 5 plus or minus the square root of 21 all over 2Step-by-step explanation:
x² + 5x + 1 = 0 x = (-b ± [tex]\sqrt{b^2 - 4ac}[/tex])/ (2a)x = (- 5 ± [tex]\sqrt{5^2 - 4*1*1}[/tex]) / (2*1)x = (- 5 ± [tex]\sqrt{21}[/tex]) /2Correct choice is B
The width of a rectangle is 1units less than the length. The area of the rectangle is 42 units
Answer:
Step-by-step explanation:
w=l-1
∵A=l×w
∴A=l×(l-1)
⇒42=l²-l
⇒l²-l-42=0 (After subtracting 42 from both sides)
Two factors of 42 that add to give negative 1 :-7+6
∴ (l-7)(l+6)=0
∴ l=7 or l=-6
but remember that length is a scalar quantity, hence l≠6 but l=7.
I hope this helped you solve this math problem and made you better understand
determine the volume of rectangular prism 6cm 4m 4m
Plz help
What is the next step in this construction?
A. construct a line perpendicular to x p through point a
B.measure the distance from point A to p
C.construct a line parallel to XP through point a
D. construct a transversal line through points a and X
Answer:
Construct a transversal line through points A and X. i think im not sure
Step-by-step explanation:
The ratio of small dogs two big dogs at the park is 1: 3 which does not represent this ratio A. 3:9 B. 9:27 C. 2:4 D. 30:90
C(2.4) does not represent this ratio.
Answer:
2:4
Step-by-step explanation:
i did the test
What is the value of X
What is the value of Y
I will crown u and give you 20 extra points
Answer:
See below for answers and explanations
Step-by-step explanation:
4) 35° and x° are vertical angles, so they are congruent to each other. Therefore, x°=35°. Since y°+y°+35°=180° since they are all supplementary to each other, then y°=72.5° when solved.
5) A is true. Think of two adjacent angles measured 60° and 30° that are next to each other. They add up to 90° as well.
B isn't true. Vertical angles are congruent to each other, not supplementary.
C isn't true. The statement contradicts itself. Complementary angles add up to 90° while supplementary angles add up to 180°
[-15(-1.5)]+[(-2.5) x 1.25] plz help me out guys
Answer:
19.375
Step-by-step explanation:
Hope this helps ;)
Answer: 19.375
Step-by-step explanation:
[-15(-1.5)]+[(-2.5) x 1.25]
[22.5]+[-3.125]
22.5-3.125= 19.375
A right triangle has a base of 6 feet, a height of 4 feet, and a slant height of 9 feet. Find the area. *
All Questions Are Above
Answer:
...
Step-by-step explanation:
2. 5.25, because the radius is half the diameter
3. 3 in because the diameter is 2x the radius
4. i.dk this one sorry
Answer:
2. 5.25in
3. 3 in
4. 81.68 or 82
Step-by-step explanation:
The first two are basically multiplication and division. radius is half the diameter, and diameter is the whole of radius. the circumference is 3.14 or [tex]\pi[/tex] x diameter
so you need to add the radius (13) by itself (13+13) to get the diameter (or 13*2) then multiply by 3.14159. (26*3.14159 = 81.68) and if you need to round its 82.
~R3V0
f(x) = x^2. What is g(x)?
Answer:
g(x) = 5x^2
Step-by-step explanation:
PLEASE HELP ME ILL GIVE BRAINLIEST
Select the correc answer. Consider function g. 5+2 What is the average rate of change of function g over the interval [-4, 3]
OA. 1/2
OB. -7/2
OC. -1/2
OD. 2
Idil has a smart phone data plan that costs $25 per month that includes 10 GB of
data, but will charge an extra $20 per GB over the included amount. How much
would Idil have to pay in a month where she used 4 GB over the limit? How much
would Idil have to pay in a month where she used went over by x GB?
please help me! ill give a brainlest for who answer this
Answer:
(0,1)
Step-by-step explanation:
Answer:
The coordinates of the point are (0,1)
Step-by-step explanation:
Jayden has $0.56 worth of pennies and nickels. He has a total of 20 pennies and nickels altogether. Determine the number of pennies and the number of nickels that Jayden has.
There are ______ pennies and _______ nickels
Answer:
there are 7 nickels and 13 pennies
What is the domain of this function?
Answer:
-5, -1, 1, 2, 4
Step-by-step explanation:
The domain includes the x-values of the points. Starting from the left, the points are (-5, -5), (-1, 0), (1, 1), (2, 5), (4, -3).
Take the x-values, and the domain is {-5, -1, 1, 2, 4}.
HELP PLEASE:(
Determine if the triangles are congruent by using HL?
Answer:
whats hl
Step-by-step explanation:
9 ( x - 5 ) = -108 solve for x
Answer:
x = -7
Step-by-step explanation:
9 ( x - 5 ) = -108
9x - 45 = -108
add 45 to each side of the equation:
9x = -63
divide both sides by 9:
x = -7
Answer:
x = - 7
Step-by-step explanation:
9(x - 5) = - 108
9x - 45 = - 108
9x - 45 + 45 = - 108 + 45
9x = - 63
9x ÷ 9 = - 63 ÷ 9
x = - 7
Find m
70°
55°
80°
90°
Answer:
70°
Step-by-step explanation:
angle subtended by arc is half of arc
PLEASE HELP ME i DONT KNOW how to do this!
Answer:
It's b
Step-by-step explanation:
It is b or the second option because -2 is equal or greater than A therefore it is option 2
Which expression is equivalent to 32 + 16?
(A) 8(4 + 2)
(B) 8(24 + 8)
(C) 7(4 + 2)
(D) 7(24 + 8)
answer: (A) 8(4+2)
Step-by-step explanation:
I think so BECAUSE I ADD IT ALL UP
I need help (20 points)
PLEASE HELP WITH GEOMETRY IM STUCK!?}
Answer:
13.8
Step-by-step explanation:
Recall the trigonometric ratios
Sine = Opposite over Hypotenuse (SOH)
Cosine = Adjacent over Hypotenuse (CAH)
Tangent = Opposite over Adjacent (TOA)
Now lets look back at the question
We are given an angle and its adjacent side length (11) and we need to find the hypotenuse
The hypotenuse and adjacent sides corresponds with the trig function cosine so we will use cosine to solve for x
( remember that cosine = adjacent over hypotenuse )
[tex]cos(37)=\frac{11}{x}[/tex]
step 1 multiply each side by x
[tex]cos(37)*x=xcos(37)\\\frac{11}{x} *x=11[/tex]
now we have [tex]xcos(37)=11[/tex]
step 2 divide each side by cos(37)
[tex]\frac{xcos(37)}{cos(37)} =x\\\frac{11}{cos(37)} =13.77349\\[/tex]
we're left with x = 13.77439
Our last step would be to round to the nearest tenth
We would get that the answer is 13.8
Answer:
G) x = 13.8
Step-by-step explanation:
cos 37° = adj/hyp = 11/x
0.7986x = 11
x = 13.8
Un padre cede al mayor de sus hijos la quinta parte de su capital, al segundo la cuarta parte del mismo y al tercero le da el resto, que son 33,000 euros. ¿Cuál era su capital? ¿Cuánto le correspondió a cada hijo?
Answer:
El padre tenía un capital de 60,000 euros.
El hijo mayor recibe 12,000 euros.
El hijo segundo recibe 15,000 euros.
El hijo tercero recibe 33,000 euros.
Step-by-step explanation:
Sea [tex]x[/tex] el capital total del padre y [tex]a,b,c[/tex] son las asignaciones a los hijos mayor, segundo y tercero. A continuación, construimos las ecuaciones matemáticas a partir de lo descrito en el enunciado:
Hijo mayor
[tex]a = \frac{1}{5}\cdot x[/tex] (1)
Hijo segundo
[tex]b = \frac{1}{4}\cdot x[/tex] (2)
Hijo tercero
[tex]c = \left(1-\frac{1}{5}-\frac{1}{4}\right)\cdot x = 33000[/tex] (3)
De (3) tenemos que el capital del padre es:
[tex]x = \frac{33000}{1-\frac{1}{5}-\frac{1}{4} }[/tex]
[tex]x = 60000[/tex]
El padre tenía un capital de 60,000 euros.
Por (1) y (2) determinamos los capitales del hijo mayor y el hijo segundo:
[tex]a = \frac{1}{5}\cdot x[/tex]
[tex]x = 12000[/tex]
El hijo mayor recibe 12,000 euros.
[tex]b = \frac{1}{4}\cdot x[/tex]
[tex]b = 15000[/tex]
El hijo segundo recibe 15,000 euros.
Choose all of the values for x that are solutions to x < -2.
A.x=0
B. x=2
C. x= -2
D.x=-1/2
E. x= -4
Calcula el área de este hexágono. Datos: -lados 8 cm² -apotema 3'7cm²
Respuesta:
88,8 cm²
Explicación:
Consideremos un hexágono regular. Su apotema, la distancia más corta entre el centro del hexágono y uno de sus lados, es 3,7 cm y sus lados miden 8 cm.
Primero debemos calcular su perímetro, que es igual a la suma de sus 6 lados.
Perímetro = 8 cm + 8 cm + 8 cm + 8 cm + 8 cm + 8 cm = 48 cm
Luego, podemos calcular el área del hexágono usando la siguiente fórmula:
Area = Perímetro × Apotema / 2
Area = 48 cm × 3,7 cm / 2 = 88,8 cm²