1. Which of the following functions could match the graph shown below?
a. f(x)= 2x
b. f(x) = 2 + x
c. f(x) = x + 0.5
d. f(x) = 0.5x
2. If a car travels for 200 miles at a constant rate of 70 miles per hour, which equation below can NOT be used to find the travel time?
a. 20070=t
b. 70200=t
c. 20 = 7t
d. 200 = 70t
Which of the following situations could match this formula? (There may be more than one correct answer.)
500=100x
a. An object travels 500 feet for 100 seconds.
b. An object travels at 500 miles per hour for 100 hours.
c. An object travels 500 miles at a rate of 100 miles per hour.
d. An object travels 100 inches per minute for 500 minutes.
Answers
We want to answer different things regarding linear equations.
The answers are:
1) d2) b 3) a and c.1) We want to see which function matches the given graph.
So, we can see that this is a linear function, that passes through the origin, so the y-intercept is y = 0.
We also can see that it passes through the point (2, 1).
Then we have that:
1 = a*2 + 0
1/2 = 0.5 = a
So the linear equation is:
y = 0.5*x
Here the correct option is d.
2) We know the relation:
distance = speed*time
So any permutation of these values can be used to find the time.
Then the option that can not be used to find the travel time is:
b) 70/200 = t
Because in this case, we are taking:
speed/distance = time
And that is incorrect.
3) We have the formula:
500 = 100*x
Again, using:
Distance = speed*time
The options that are correct are the ones where 500 represents a distance and the 100 represents time or speed, then the correct options are:
a and c.
If you want to learn more, you can read:
https://brainly.com/question/2263981
Related Questions
A pollutant breaks down at a rate of 2% a year. What fraction of the current amount will be present in 20 years? Let X(0) = 1.
Answers
Answer:
Step-by-step explanation:
X = 1(1 - 0.02)ⁿ
X = 1(0.98)²⁰
X = 0.6676
67%
Using an exponential equation, it is found that 66.76% of the current amount will be present in 20 years.
A decaying exponential function has the following format:
[tex]A(t) = A(0)(1 - r)^t[/tex]
In which:
A(t) is the initial value.r is the decay rate, as a decimal.In this problem, breaks down at a rate of 2% a year, hence [tex]r = 0.02[/tex], and:
[tex]A(t) = A(0)(1 - 0.02)^t[/tex]
[tex]A(t) = A(0)(0.98)^t[/tex]
The fraction after 20 years is A(20), hence:
[tex]A(20) = A(0)(0.98)^{20}[/tex]
[tex]A(20) = 0.6676[/tex]
66.76% of the current amount will be present in 20 years.
A similar problem is given at https://brainly.com/question/14773454
Solve the Quadratic
2x^2–5x-8=0
Solution 1:
Solution 2:
Answers
[tex]2x^2 -5x-8 =0\\\\\implies x = \dfrac{ -(-5) \pm \sqrt{(-5)^2 - 4\cdot 2 \cdot (-8)}}{2 \cdot 2}\\\\\\\implies x = \dfrac{5 \pm \sqrt{89}}{4}\\\\\\\text{Hence}~ x = \dfrac{5 + \sqrt{89}}{4},~~ x = \dfrac{5 - \sqrt{89}}{4}[/tex]
Answer:
[tex]\sf \boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]
[tex]\sf \boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]
✰Step-by-step explanation✰ ⤵[tex]\sf 2x^2-5x-8=0[/tex]
☁ We'll solve this equation using The Quadratic Formula:
[tex]\boxed{\sf \cfrac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]
A= 2, b= -5, c= -8
[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}}{2\times \:2}[/tex]
[tex]\mapsto \sf \sqrt{\left(-5\right)^2-4\times \:2\left(-8\right)}[/tex]
[tex]**\sf \left(-5\right)^2=5^2[/tex]
[tex]\mapsto \sf \sqrt{5^2+4\times \:2\times \:8}[/tex]
[tex]\mapsto \sf \sqrt{5^2+64}[/tex]
[tex]\mapsto \sf \sqrt{89}[/tex]
______________
[tex]\sf x=\cfrac{-\left(-5\right)\pm \sqrt{89}}{2\times \:2}[/tex]
☁ Now, we'll Separate solutions, first, we'll solve the equation when ± is plus:
[tex]\mapsto \sf \cfrac{-\left(-5\right)+\sqrt{89}}{2\times \:2}[/tex]
☁ Multiply 2*2 =4
[tex]\boxed{\sf \cfrac{5+\sqrt{89}}{4}}[/tex]
_________________
☁ Now solve the equation when ± is minus:
[tex]\mapsto \sf \cfrac{-\left(-5\right)-\sqrt{89}}{2\times \:2}[/tex]
☁ Multiply 2*2 =4
[tex]\boxed{\sf \cfrac{5-\sqrt{89}}{4}}[/tex]
[tex]\sf Solution \:1:\boxed{\sf x=\frac{5+\sqrt{89}}{4}}[/tex]
[tex]\sf Solution \:2:\boxed{\sf x=\frac{5-\sqrt{89}}{4}}[/tex]
☁❅☁❅☁☁❅☁❅☁☁❅☁❅☁❅☁
Learn more: https://brainly.com/question/22286698
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
Answers
Answer:
240$
Step-by-step explanation:
juanita has saved 20% of the money that she needs to buy a new bicycle. if she has saved $48, how much does the bicycle cost?
48 : 20 * 100 = 240
Anita is filling a small pool for her kids. Currently, there are 60 gallons of water in the pool and she is filling
the pool at a rate of 50 gallons every 5 minutes. The pool holds 200 gallons of water.
Which equation represents the amount of minutes (m) that it will take to fill the pool?
A. -10m + 200 = 60
B. -50m + 200 = 60
C.-10m + 140 = 60
D. -50m + 140 = 60
Answers
Answer:
M/140 = 50/60 or C
Step-by-step explanation:
Since the total is 200 it will be the denominator but we already have 60 gallons so we do 200-60=140
the ratio is 50 per 60
Work out the missing numbers
-6x_= -30
-6x_= 0
-6x _=18
_x-6= -54
Answers
Answer:
1. 5
2. 0
3. -3
4. -38
Step-by-step explanation:
from 1 to 4 i answered and solved hope its helpful
What is the cost of 4 pounds of apples, if 3 pounds of apples cost $5.28 and the unit price for each pound of apples is the same? *
10 points
A $6.28
B $7.04
C $12.32
D $7.40
Help please:)
Answers
Answer:
B. $7.04
Step-by-step explanation:
5.28 / 3 = 1.76
1.76 x 4 = 7.04
Which of the expressions are equivalent to the one below? Check all that apply. (8 + 3) + 4 O = A. (8 + 4) = 3 B. 8. (3 + 4) OC. (3 + 8) = 4 O 8) D. (3 + 4) : (8 + 4) SUBMIT
Answers
Answer:
C
Step-by-step explanation:
known by checking all the answers for chooses
Find the values for a, b, and c for this quadratic equation. 3x^2 - x - 1 = 0
Answers
Answer:
a = 3, b = -1, c = -1
Step-by-step explanation:
3x² - x - 1 = 0 ⇒ 3x² - 1x - 1 = 0
a = 3, b = -1, c = -1
Given log_73≈0.5646 and log_716≈1.4248, evaluate the expressions. Please show work using given values.
Answers
Answer:
(a) [tex]\log_72 \approx 0.3562[/tex]
(b) [tex]\log_7(\frac{147}{16} ) = 2[/tex]
Step-by-step explanation:
For the point a:
For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex]
16 can be re-write as [tex]2^4[/tex]. Then you have:
[tex]\log_72^4[/tex]
Using the power property of the logarithm we have:
[tex]\log_ba^c = c\log_ba[/tex]
[tex]\log_72^4 = 4\log_72[/tex]
And this expression is equal to:
[tex]4\log_72 \approx 1.4248\\\log_72\approx \frac{1.4248}{4} \approx 0.3562\\[/tex]
For the point b:
For this problem we use the information of [tex]\log_716 \approx 1.4248[/tex] and [tex]\log_73 \approx 0.5646[/tex]
The first is use the quotient property in the given log.
[tex]\log_c\frac{a}{b} = \log_ca-\log_cb[/tex]
[tex]\log_7\frac{147}{16} = \log_7147 -\log_716[/tex]
We already know the value of [tex]\log_716[/tex] then we have to calculate the value of [tex]\log_7147[/tex].
So we factorize the number 147 in [tex]3 \cdot 7 \cdot 7[/tex] (for factorize the number start with the smaller prime and check if the remainder is 0, it is then is a primer factor of the number).
Now re-write [tex]\log_7147[/tex] as [tex]\log_73 \cdot 7^2[/tex] and by the product property get:
[tex]\log_bmn = \log_b m +\log_b n\\\log_73 \cdot 49 = \log_7 3 +\log_7 49 = 0.5646 + 2 = 2.5646[/tex]
Know replace each value in the subtraction and get the result:
[tex]\log_7147 -\log_716 = 2.5646 - 0.5646 = 2[/tex]
Maximize z=200x+300y subject to x+2y<10 ,x+y<6,x>4 and x>0 ,y>0
Answers
Answer:
In theory I would have started looking at the critical points of the function, ie where the tangent plane is horizontal. Trick is, since the function is linear in both x and y the tangent plane is the curve itself, and it's never horizontal. We have to parametrize the border and look in there.
From the last two conditions ([tex]x>0; y>0[/tex]) we are looking only at the first quadrant. Let's start drawing lines.
The various restrains are color coded in the graph ([tex]x+2y<10[/tex] is red, [tex]x+y<6[/tex] is blue, [tex]x>4[/tex] is orange). That leads to the right triangle with a grey border that gets parametrized as shown. Due to the linearity of the original function, the maximum is at one of the extremes (upper or lower depending if the coefficient of the parameter is positive or negative). At this point is just calculating the values, pick up the largest, and see which points correspond to that value of the parameter.
Number crunching done, the maximum is at (4,2)
the length of a rectangle is 10 meters more than the width. if the perimeter is 72 meters, what are the length and width?
Answers
Check the picture below.
Step-by-step explanation:
let's say a is length, and b is width:
a = 10 + b
after this, we can write:
2(a + b) = 72
2(10 + b + b) = 72
2(10 + 2b) = 72
20 + 4b = 72
4b = 72 - 20
4b = 52
b = 52 ÷ 4
b = 13
if b = 13, then a = 10 + b = 10 + 13 = 23
so: a = 23 and b = 13
whats the answer can someone answer please
Answers
Answer:
both are c
Step-by-step explanation:
Please take a look at the picture.
Answers
Answer:
B, and A
Step-by-step explanation:
big brain time
What is the equation of the line shown in this graph?
Answers
Answer:
y=1
Step-by-step explanation:
the y values r 1 n even using the calculation it will give 1 as y
The ratio of the measures of the sides of a triangle is
9:10:4. If the perimeter of the triangle is 276 inches, find
the length of the shortest side.
X =
=
Length of shortest side =
Answers
Answer:
X = 48 inches for the shortest side
Step-by-step explanation:
9s = first side
10s = second side
4s = third side
Perimeter = sum of the sides
276 = 9s + 10s + 4s
276 = 23s
276/23 = s
12 = s
9s = first side; 9(12) = 108
10s = second side; 10(12) = 120
4s = third side; 4(12) = 48
The product of two consecutive even integers is 6 more than 3 times their sum. The integers are: a. 6,8 b. 16, 20 12, 16 d. 20, 24 C.
Answers
Answer:
a. 6,8
Step-by-step explanation:
The only offered answer choice that lists consecutive even integers is ...
a. 6,8
_____
Consecutive even integers differ by 2, not 4.
__
Check
The product is 6×8 = 48.
Three times the sum is 3(6+8) = 3(14) = 42.
The product is 6 more than 3 times the sum. 42+6 = 48
Determine the smallest integer value of x in the solution of the following inequality
Answers
Answer:
-2
Step-by-step explanation:
4x - 7 > -17
(add 7 on both sides)
4x > -10
(divide both sides by 4 to isolate x)
x > - 2.5
An integer can not be a fraction. So the smallest integer value x can be is -2 because -2 is greater than -2.5.
Can someone tell me what’s going on here
Answers
Answer:
c = 105 degres
Step-by-step explanation:
When two lines cross like that and form an x, the opposite sides are equal (so the angle below the 75 degree one is also 75 degees). Using this, you can figure out the rest.
If both the top an bottom are equal, you know that 150 degres are taken (75+75) and you know that there can only be 360 degres in total here, so you subtract 150 from 360 and get 210. Now you know that the last two sides together are 210, and since they are equal, you divide it by two to get 105 degrees.
What is the slope of the line shown below?
A. 3/2
B. 2/3
C. -3/2
D. -2/3
Answers
9514 1404 393
Answer:
B. 2/3
Step-by-step explanation:
The slope is given by the formula ...
m = (y2 -y1)/(x2 -x1)
For points (x1, y1) = (-3, -7) and (x2, y2) = (9, 1), the slope is ...
m = (1 -(-7))/(9 -(-3)) = 8/12 = 2/3
The slope of the line is 2/3.
1. In a scale drawing of a statue the scale is 1 in. = 1 foot. If the scale drawing is 9 in., how tall is the statue? 12 feet 4.5 feet 9 feet 18 feet4
Answers
Answer:
9 feet
Explanation :
9 feet beacause
1 in. = 1 foot so 9 in. = 9 feet
please help struggling a lot!
Answers
Answer:
- 162, 486, - 1458
Step-by-step explanation:
To find the next term in a geometric sequence , multiply the previous term by the common ratio r
r = [tex]\frac{T_{2} }{T_{1} }[/tex] = [tex]\frac{-18}{6}[/tex] = - 3 , then
T₄ = T₃ × - 3 = 54 × - 3 = - 162
T₅ = T₄ × - 3 = 486
T₆ = T₅ × - 3 = - 1458
find ()
(x).
For f(x) = 4x +1 and g(x) = x2-5, find
BRAINLIST
Answers
Answer:
D. (4x + 1) / (x² - 5), x ≠ ±√5Step-by-step explanation:
Given:
f(x) = 4x + 1 and g(x) = x² - 5Find {f/g)(x):
(f/g)(x) = f(x) / g(x) = (4x + 1) / (x² - 5)Since denominator can't be zero:
x² - 5 ≠ 0 ⇒ x² ≠ 5 ⇒ x ≠ ±√5Correct choice is D
Write the equation of a line that has a
slope of 7, and passes through the
point (-2,5). Show your work.
Answers
Answer: Y=7x+19
Step-by-step explanation:
got no time for explain hope this helper
9514 1404 393
Answer:
y -5 = 7(x +2)
Step-by-step explanation:
Values for the slope and a point are given. That makes it convenient to use the point-slope form of the equation for a line:
y -k = m(x -h) . . . . . . line with slope m through point (h, k)
y -5 = 7(x +2) . . . . . . line with slope 7 through point (-2, 5)
__
Sometimes, you want the slope-intercept form of the equation. That can be found by solving for y
y -5 = 7x +14 . . . . . . . . eliminate parentheses
y = 7x +19 . . . . . . . . . . add 5 to both sides
__
In standard form, the same line has equation ...
7x -y = -19
HELPPPP!!!!!!!!!!!!!!
Answers
Answer:
B
Step-by-step explanation:
125/29.35=4.409171076
4.409171076 is rounded to 4.41
What is the lcm of 24, 18, and 6
Answers
we have 24= 2^3 x 3 ; 18=2 x 3^2 ; 6=2 x 3
so LCM of 24, 18, 6 is 2^3 x 3^2 = 72
ok done. Thank to me :>
The circumference (C) of a swimming pool is 47 feet. Which formula can you use to find the radius (r) if you know that C = 2πr ?
Answers
Answer:
The answer is 7.48 or 7.5
Step-by-step explanation:
If the circumference is C which is equal to 47 feet, what you have to do is divide it by pi, or 3.14 for an estimate. After that, you'll get the diameter and then divide it by 2. Now you have your radius.
What did you notice about the sums of 7 + (–3) and –3 + 7?
Answers
Step-by-step explanation:
Sum of 7 + (-3) = 7 +.- 3 = 7 - 3 = 4
( As + × - = -)
Sum of -3+7 = 4
We observe that both are same .
Answer:
they both give the same answer
Step-by-step explanation:
7+(_3)=+4
_3+7=+4
3. A certain container of mouthwash usually costs $2.99 at a store. If it is on sale for 20% off how much does the mouthwash cost now?
A. $2.75
B. $2.77
C. $2.40
D. $3.74
Answers
Answer:
the answer is D Because
Step-by-step explanation:
so I will say about $3.74
Pls answer the rest for me I’ll give you brainilist
Answers
Answer:
29 x 8 = 191
62 x 19 = 1,178
8.7 x 12 = 104.4
11.9 x 4 = 47.6
45 x 6 = 270
Cómo se mide la velocidad
Answers
Answer:
d wound be the only answer I think