Answer:
x ≤ -15
Step-by-step explanation:
-x/3 ≥ 5
or, -x ≥ 15
or, x≤ -15
Answered by GAUTHMATH
Two large and 1 small pumps can fill a swimming pool in 4 hours. One large and 3 small pumps can also fill the same swimming pool in 4 hours. How many hours will it take 4 large and 4 small pumps to fill the swimming pool.(We assume that all large pumps are similar and all small pumps are also similar.)
if u get this right i will mark brainliest
Let x and y be the unit rates at which one large pump and one small pump works, respectively.
Two large/one small operate at a unit rate of
(1 pool)/(4 hours) = 0.25 pool/hour
so that
2x + y = 0.25
One large/three small operate at the same rate,
(1 pool)/(4 hours) = 0.25 pool/hour
x + 3y = 0.25
Solve for x and y. We have
y = 0.25 - 2x ==> x + 3 (0.25 - 2x) = 0.25
==> x + 0.75 - 6x = 0.25
==> 5x = 0.5
==> x = 0.1
==> y = 0.25 - 2 (0.1) = 0.25 - 0.2 = 0.05
In other words, one large pump alone can fill a 1/10 of a pool in one hour, while one small pump alone can fill 1/20 of a pool in one hour.
Now, if you have four each of the large and small pumps, they will work at a rate of
4x + 4y = 4 (0.1) + 4 (0.05) = 0.6
meaning they can fill 3/5 of a pool in one hour. If it takes time t to fill one pool, we have
(3/5 pool/hour) (t hours) = 1 pool
==> t = (1 pool) / (3/5 pool/hour) = 5/3 hours
So it would take 5/3 hours, or 100 minutes, for this arrangement of pumps to fill one pool.
Which of the following best describe(s) the slope of a linear function?
Select all that apply.
rise over run
run over rise
average rate of change
intersection with the y-axis
REALICE LOS SIGUIENTES PROBLEMAS DE ECUACIÓN DE LA RECTA CORRECTAMENTe
1.- Encuentre la ecuación vectorial de la recta si tenemos A(4, -2) y el vector V=(2, 5) paralelo a la recta y que pasa por A
2.- Encuentre la ecuación general de una recta conociendo un punto P(-2 ; 4) y su pendiente m= - 5 y grafique la recta.
Answer:
1. La ecuación vectorial de la línea es [tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]
2. La ecuación de la recta es, y = -5·x - 6
Step-by-step explanation:
1. El punto dado en la línea es A (4, -2), el vector paralelo a la línea es (2, 5)
Por tanto, la ecuación vectorial de la línea es;
[tex]\begin{bmatrix} & x & \\ & y & \end{bmatrix} =\begin{bmatrix} & 4 & \\ & -2 & \end{bmatrix} + t \times \begin{bmatrix} & 2 & \\ & 5 & \end{bmatrix}[/tex]
Donde;
t = Cualquier número
2. El punto por el que pasa la recta es P (-2; 4)
La pendiente de la recta, m = -5
Por lo tanto, la ecuación de la línea en forma de punto y pendiente se presenta de la siguiente manera;
y - 4 = (-5) · (x - (-2)) = -5 · x - 10
∴ y - 4 = -5 · x - 10 + 4 = -5 · x - 6
La ecuación de la recta es, y = -5·x - 6
The zeros of a function are the values of x for which the function is equal to zero. Enter a number in each blank to make true statements about the function h(x)=(2x−2)(x−5).
Answer:
i) h(x) = 0 when x = 1, and when x = 5
ii) The graph of h intercepts the x-axis at x = 1 and x = 5
iii) The zeros of h are 1 and 5
Step-by-step explanation:
Question;
From a similar question on the website, we have;
i) h(x) = 0 when x = _, and when x = _
ii) The graph of h intercepts the x-axis at x = _ and x = _
iii) The zeros of h are _ and _
Explanation;
The given function is h(x) = (2·x - 2)·(x - 5)
When h(x) = 0, we have;
h(x) = (2·x - 2)·(x - 5) = 0
Therefore, we have;
(2·x - 2) = 0/(x - 5) = 0
(2·x - 2) = 0
x = 2/2 = 1
x = 1
Where we proceed with (x - 5) = 0/(2·x - 2) = 0, we get;
(x - 5) = 0/(2·x - 2) = 0
(x - 5) = 0
x = 5
Therefore, when h(x) = 0, x = 1, and x = 5
ii) The graph of h intercepts the x-axis at h(x) = 0, at x = 1, and x = 5
Therefore, the graph of h intercepts the x-axis at (1, 0), and (5, 0)
iii) The zeros of h are the values of x for which h(x) = 0, which are x = 1, and x = 5
Translate to an equation, then solve.
Nineteen less than six times a number is equal to 11 more than four times the number?
What is the number?
Answer:
15Step-by-step explanation:
Let the number is x, then we have:
6x - 19 = 4x + 116x - 4x = 11 + 192x = 30x = 15PLZ HELP AND EXPLAIN!! I'll give brainy
For this exponential function,
what is the output value (y),
when the input value (x) is 2?
y = 10.5x
(2, [?])
Answer:
(2,21)
Step-by-step explanation:
y = 10.5x
it says that x=2 and when you plug the 2 in the equation you would get
y = 10.5(2)
then multiply the 2 and 10.5
y=21
that is my answer
glad yo help
The growth rate of the sunflower from day 14 to day
35 is nearly constant. On this interval, which
of the
following equations best models
the height k in
centimeters, of the sunflower t days after it begins
to grow?
Answer:
sorry I don't know.....
Please Help I don't get this
Answer:
The choose (D)
Step-by-step explanation:
[tex] \frac{x - 16}{ {x}^{2} + 6x - 40 } + \frac{1}{x + 10} \\ = \frac{x - 16}{(x - 4)(x + 10)} + \frac{1}{x + 10} \\ = \frac{(x - 16) + (x - 4)}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{(x + 10)(x - 4)} \\ = \frac{2x - 20}{ {x}^{2} + 6x - 40 } [/tex]
If fx) = 2х2 - 5 and g(x) = 3х+3, find (f-g)(x).
ОА. -Х? - 8
В. 3х - 2x2 - 2
Ос. 2х - 3x-2
OD. 2х2 – 3х – 8
Answer:
Solution given:
f(x)=2x²-5
g(x)=3x+3
now
(f-g) (x)=?
we have
(f-g)(x)=f(x)-g(x)
=2x²-5-(3x+3)=2x²-5-3x-3adding or subtracting common term=2x²-3x-8Answer:
[tex]2x^{2} - 3x - 8[/tex]
Step-by-step explanation:
Step 1: Define what (f-g)(x) means
(f-g)(x) means that we have two different functions, f(x) and g(x). (f-g)(x) is a shorter way of writing f(x) - g(x). Therefore you just plug in the equations and combine like terms.
Step 2: Find (f-g)(x)
[tex]f(x) = 2x^{2} - 5[/tex]
[tex]g(x) = 3x + 3[/tex]
[tex](f-g)(x) = 2x^{2} - 5 - (3x + 3)[/tex]
[tex](f-g)(x) = 2x^{2} - 5 - 3x - 3[/tex]
[tex](f-g)(x) = 2x^{2} - 3x - 8[/tex]
Answer: [tex]2x^{2} - 3x - 8[/tex]
find three points that solve the equation
2y = -3x + 2
Answer:
x= 0, y=2
x=2, y=-2
x=4, y= -5
Step-by-step explanation:
Find the value of that makes m
||
n.
m
n
xº
2xº
Your newest coworker is not as productive as other members of your team. You and your coworkers have to work harder to make up for this.
What would you be most and least likely to do?
(A).Be patient. Give her more time to learn the job so that her productivity will increase.
(B).Ask her how the job is going. Let her know you're available if she has any questions.
(C).Give her advice and tips for how to get things done correctly and efficiently.
(D).Talk to your supervisor about the situation. Suggest that this might not be the best role for your coworker.
Answer:
(C) Give her advice and tips for how to get things done correctly and efficiently.
Explanation:
You would be most and least likely to: Provide her with suggestions and pointers on how to complete tasks correctly and efficiently.
All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line. B. All boundary points of a rational inequality should always be represented by plotting a closed circle on a number line. C. All boundary points of a rational inequality should always be represented by plotting an open circle on a number line. D. All boundary points of a rational inequality that are found by determining the values for which the numerator is equal to zero should always be represented by plotting an open circle on a number line.
Answer: All boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.
Step-by-step explanation:
Based on the options given in this question, it should be noted that the option that is true is that all boundary points of a rational inequality that are found by determining the values for which the denominator is equal to zero should always be represented by plotting an open circle on a number line.
Therefore, the correct option is A.
Solve BCD. Round the answers to the nearest hundredth, if necessary.
Answer:
B
Step-by-step explanation:
here we use trigonometric ratio involving soh,cah,toa
16789047+65390-49532578=?
Answer:
-32678141
Step-by-step explanation:
write the point-slope form of the equation of the line through the given points (0,4) and (-5,-4)
Answer:
y - 4 = 8/5 (x - 0)
Step-by-step explanation:
first, find the slope using the points given ((0,4) and (-5,-4))
use the following formula to find the slope:
m= y2 - y1/x2 - x1
using this formula you should get the following:
m= -4-4/-5-0 = -8/-5 = 8/5
using the point (0,4) and the slope, it into the slope-point form (y-y1=m(x-x1)
the answer should be: y - 4 = 8/5(x - 0)
The path a character takes to navigate a level of a video game is given in the following graph.
What is the domain?
A. –4 ≤ x ≤ 8
B. –4 ≤ x ≤ 8, x ≠ 0, 4
C. –10 ≤ x ≤ 10
D. –10 ≤ x ≤ 10, x ≠ –4, 6
Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.
The domain of a graph is the set of input values accepted by the function. They are values along the x-axis of the graph.
According to the graph shown, the values along the x-axis lies between -10 and 10. Hence the domain of the graph will be expressed as:
–10 ≤ x ≤ 10
Option C is correct. The domain of the graph is –10 ≤ x ≤ 10.
Learn more here: https://brainly.com/question/18486099
What is the probability that you roll at least one 3 in your dice? Convert your answer to
decimal form, then round to 3 decimal places,
Answer:
0.167
Step-by-step explanation:
1 dice has 6 faces, 2 dice will have a total of 12 faces
1 dice has 1 face with a 3 on it, so 2 dices will have 2 total 3s on them.
2 /12 = 1/6 = 0.16666666666
Rounded to 3 d.p = 0.16666
= 0.167
Answered by Gauthmath
A carpenter is making a backyard deck. In the measurements, he has determined that he needs to make a support triangle with an area 46m2. He knows that the base must be 1 less than 2 times the height. If the base is represented by 2x-1 and height equals x. Find the equation that correctly shows the area of the triangle.
Answer:
base = 3x - 1
height = x
area of triangle = (1/2)bh
22 = (1/2)(3x-1)(x)
44 = (3x-1)(x)
44 = 3x^2-x
0 = 3x^2-x-44
0 = 3x^2-12x+11x-44
0 = (3x^2-12x)+(11x-44)
0 = 3x(x-4)+11(x-4)
0 = (x-4)(3x+11)
x = {-11/3, 4}
throw out the negative solution (extraneous) leaving
x = 4 m (height)
.
Base:
3x - 1 = 3(4) - 1 = 12 - 1 = 11
Step-by-step explanation:
I hope it will help you
What is the Greatest Common Factor of thepolynomial 3x - 3y ?
Answer:
3
Step-by-step explanation:
Which form of payment can you lose and NOT get your money back?
Answer: Tax?
(I'm just here bc I need 20 words to soobmit)
Answer:
its cash
Step-by-step explanation:
There are 35 times as many students at Wow University as teachers. When all the students and teachers are seated in the 8544 seat auditorium, 12 seats are empty. How many students attend Wow University.
A. 237
B. 249
C. 8295
D. 8124
Answer:
C. 8296
Step-by-step explanation:
Answer:
c.8295
Step-by-step explanation:
8544-12 = 8532
8532-237 =8295
Who can help me with this question as well
Answer:
36 degrees
Step-by-step explanation:
First, to find the exterior angle of a polygon, we must divide 360 by the number of sides/angles that the specific polygon has. In this case, our polygon has 10 sides, so it's a decagon.
If we apply this formula, where s = # of sides, we can find the exterior angle of this polygon:
360/s = exterior angle
360/10 = 36
Therefore, the exterior angle is 36 degrees.
Answer:
36°
Step-by-step explanation:
Sum of exterior angles of a polygon = 360°
A trapezoid has two basses that measure 11 cm and 8 cm. The height of the figure is 5 cm. What is the area of the trapezoid? A) 95 cm2. B) 64 cm2. C) 47.5 cm2. D) 24 cm2
Answer:
C.47,5cm²
Step-by-step explanation:
Which of the following statements is false?
B. A parallelogram is a rectangle.
I'm stuck on here, please, someone help me.
Answer:
Answer B
Step-by-step explanation:
therw is one full one and one with five
Product of the zeroes of polynomial 3x²-2x-4 is ? No spam ❌ Want accurate answers ✔ No spa.
full explain
9514 1404 393
Answer:
-4/3
Step-by-step explanation:
Quadratic ax² +bx +c can be written in factored form as ...
a(x -p)(x -q)
for zeros p and q. The expanded form of this is ...
ax² -a(p+q)x +apq
Then the ratio of the constant term to the leading coefficient is ...
c/a = (apq)/a = pq . . . . the product of the zeros
For your quadratic, the ratio c/a is -4/3, the product of the zeros.
_____
Additional comment
You will notice that the sum of zeros is ...
-b/a = -(-a(p+q))/a = p+q
Answer:
[tex] \green{ \boxed{ \bf \: product \: of \: the \: zeros \: = - \frac{4}{3} }}[/tex]
Step-by-step explanation:
We know that,
[tex] \sf \: if \: \alpha \: and \: \beta \: \: are \: the \: zeroes \: of \: the \: \\ \sf \: polynomial \: \: \: \pink{a {x}^{2} + bx + c }\: \: \: \: then \\ \\ \small{ \sf \: product \: of \: zeroes \: \: \: \alpha \beta = \frac{constant \: term}{coefficient \: of \: {x}^{2} } } \\ \\ \sf \implies \: \pink{ \boxed{\alpha \beta = \frac{c}{a} }}[/tex]
Given that, the polynomial is :
[tex] \bf \: 3 {x}^{2} - 2x - 4[/tex]
so,
constant term c = - 4coefficient of x^2 = 3[tex] \sf \: so \: product \: of \: zeroes \: \: = \frac{ - 4}{3} = - \frac{4}{3} [/tex]
The function g(x) = x2 is transformed to obtain function h:
h(x) = g(x − 3).
Which statement describes how the graph of h is different from the graph of g?
A.
The graph of h is the graph of g horizontally shifted left 3 units.
B.
The graph of h is the graph of g vertically shifted down 3 units.
C.
The graph of h is the graph of g horizontally shifted right 3 units.
D.
The graph of h is the graph of g vertically shifted up 3 units.
Answer:
C
Step-by-step explanation:
Given f(x) then f(x + a) is f(x) translated horizontally
• If a > 0 then a shift to the left of a units
• If a < 0 then a shift to the right of a units
Given that h(x) = g(x - 3) , then
The graph of h(x) is the graph of g(x) horizontally shifted 3 units right
Answer:
C
Step-by-step explanation: I took the test
Please solve this question
Answer:
Step-by-step explanation:
Answered by Gauthmath
Step-by-step explanation:
Is great than eit6of the measure of the interior angles
Question 5(Multiple Choice Worth 1 points) (03.03 LC) If a figure has been dilated by a scale factor of 4, which statement explains how a translation can be used to prove the figures are similar using the AA similarity postulate? A translation can map one side onto another since dilations preserve side lengths of triangles. A translation can map one angle onto another since dilations preserve angle measures of triangles. A translation can map the center of a triangle onto another since dilations preserve the location of the center of triangles. A translation can map the vertices of one triangle onto another since dilations preserve the size of triangles.
Answer:
A translation can map one angle unto another since dilations preserve angle measures of triangles
Step-by-step explanation:
The dilation of the figure by a scale factor of 4 gives an image that is 4 times the size of the original figure. However, the interior angles of the image and the original figure remain the same
A translation is a rigid transformation, such that the image and the preimage of a translation transformation have the same dimensions and angles
A translation of three consecutive non-linear points of the dilated image to the vertex and the two lines joining the corresponding point on the image, translates the angle at the given vertex
The above process can be repeated, to translate a second angle from the image to the preimage, from which it can be shown that the two figures are similar using Angle Angle, AA, similarity postulate
Answer:
A translation because it can map one angle onto another since dilations preserve angle measures of triangles.
Step-by-step explanation:
