Answer:
The equation that models her distance from home, y, as a function of time, x will be:
y = 3.5xStep-by-step explanation:
We know that the slope-intercept form of a linear function is
y = mx+b
Here m is the slope and b is the y-intercept
Please note that slope is also termed as 'rate of change'.Given that Aniyah is driving home at a constant speed.
at t = 20 minutes, she has covered 70 miles
so the rate of change = 70/20
= 3.5 miles per minute
Let y be the distance from homeLet x be the timeFinding the y-intercept by substituting m = rate of change = 3.5 and the point (20, 70)
y = mx+b
70 = 3.5(20) + b
b = 70 - 70
= 0
Thus, the equation becomes
y = mx+b
y = 3.5x + 0
y = 3.5x
Therefore, the equation that models her distance from home, y, as a function of time, x will be:
y = 3.5xQuestion 3
What is the smallest solution to the equation 14-5x| = 1?
0.6
0-1.0
o 1.0
O 1.6
Answer:
0.06
Step-by-step explanation:
0x x it expand almost done ✅✅✅
help plsssssssssssssssssssssssssssssss
Answer:
The answer is D
Which of the following statements models deductive reasoning?
I own a mean cat. My friend Lisa owns a mean cat. Therefore, all cats are mean.
People who follow a vegan diet do not eat steak. Mindy follows a vegan diet. Therefore, Mindy does not eat steak.
There has been a hurricane in Florida every August for the past two years. Therefore, there will be a hurricane in Florida in August this year.
Every test in Mr. Johnson’s class this year has been easy. Therefore the test in Mr. Johnson’s class today will be easy.
Answer:
B.
Step-by-step explanation:
Vegans by definition do not eat any products containing the meat of an animal. Therefore if Mindy truly follows a vegan diet, she would not eat steak.
Answer:People who follow a vegan diet do not eat steak. Mindy follows a vegan diet. Therefore, Mindy does not eat steak.
Step-by-step explanation:
Because deductive reasoning is when you make an inference about something. In option 2 they are making an inference that if Mindy does not eat steak she is a vegetarian. They have come to that conclusion by inferring she is a vegetarian because she does not eat steak.
−2 (x + 1/3) + 9x = 4
Answer:
X= 2/3
Step-by-step explanation:
-2(x+1/3)+9x=4
Distribute: -2x-2/3+9x=4
Combine: 7x=14/3 ----- 4/1+2/3=12/3+2/3=14/3
Clear the fraction: 21x=14 ------- 7·3x=14/3·3/1
Divide: X=2/3 ------ 14/21÷ 7/7=2/3
X=2/3 Hope This Helps :)
Answer:
[tex] \sf \large \: x = \frac{2}{3} [/tex]
Step-by-step explanation:
−2(x+1/3)+9x=4
Step 1: Simplify both sides of the equation.
−2(x+1/3)+9x=4
(−2)(x)+(−2)(1/3)+9x=4(Distribute)
−2x+−2/3+9x=4
(−2x+9x)+(−2/3)=4(Combine Like Terms)
7x+−2/3=4
7x+−2/3=4
Step 2: Add 2/3 to both sides.
7x+−2/3+2/3=4+2/3
7x=14/3
Step 3: Divide both sides by 7.
7x/7 = 14/3/7
x=2/3
C) g(x) = (4-5x)²
If it’s even or odd
Answer:
odd
Step-by-step explanation:
the answer is odd, my dead grandma just finished this question since she failed 7th grade.
The figure above is the aerial view of a parking lot
where the rectangles represent the entrances and
the circles represent the exits. What is the total 401
number of ways a driver can enter and exit this
parking lot?
A. 4
B. 7
C. 10
D. 12
Answer:
12
Step-by-step explanation:
There are 4 entrances and 3 exits, and thus 4(3)=12.
Complete the equation.
(8 x 3) x 3 =
× (3 x 3)
Answer:
x=0
Step-by-step explanation:
Mr. Arcos is opening a new restaurant. His restaurant has 8 tables with places for 4 people at each table. It also has 4 tables with places for 6 people at each table.
Today he is buying plates for the restaurant. The plates he is buying come in sets of 6 plates. How many sets of plates does he need to buy?
In the given case, we can conclude Mr. Arcos needs to buy 10 sets of plates for his restaurant.
To find out how many sets of plates Mr. Arcos needs to buy, we first need to determine the total number of people his restaurant can accommodate.
There are 8 tables with places for 4 people each, so these tables can seat a total of 8 x 4 = 32 people.
Additionally, there are 4 tables with places for 6 people each, which can seat a total of 4 x 6 = 24 people.
Therefore, the restaurant can accommodate a total of 32 + 24 = 56 people.
Since the plates come in sets of 6, we divide the total number of people (56) by the number of people served by each set (6) to find out how many sets of plates Mr. Arcos needs to buy: 56 / 6 = 9.33 sets. Since plates cannot be bought in fractions, he will need to round up to the nearest whole number. Therefore, he will need to buy at least 10 sets of plates for his restaurant.
Learn more about the topic of Mathematics here:
https://brainly.com/question/27235369
#SPJ2
Write the equation of the quadratic function given vertex V and
point P, which lies on the function. Write the equation in standard
form f(x) = ax2+bx+c.
V (1,-9)
P (0,-8)
The quadratic equation that passes through points (1, - 9) and (0, - 8) is y = x² - 2 · x - 8.
What is the quadratic equation that passes through two points?
Graphically speaking, quadratic equations are parabolas. The quadratic equation in vertex form is described by this formula:
y - k = C · (x - h)²
Where:
(h, k) - Vertex of the parabola.C - Vertex constant.If we know that (x, y) = (0, - 8) and (h, k) = (1, - 9), then the vertex constant is:
- 8 + 9 = C · (0 - 1)²
1 = C · (- 1)²
1 = C
C = 1
Then, the quadratic equation in vertex form is:
y + 9 = (x - 1)²
Whose standard form is:
y + 9 = x² - 2 · x + 1
y = x² - 2 · x - 8
The quadratic equation that passes through points (1, - 9) and (0, - 8) is y = x² - 2 · x - 8.
To learn more on quadratic equations: https://brainly.com/question/1863222
#SPJ1
use the graph of the following function f(x) to find f(1)
From the graph of the function y = x - 1, it is found that f(1) = 0.
What is the missing information?This problem is incomplete, but researching it on a search engine, it gives us the graph of the function y = x - 1.
How to find the numeric value of a function given a graph?To find the numeric value of a function at x = a, we have to check the value of the horizontal axis when the vertical axis is of a.
For this problem, we want the numeric value at x = 1, hence, when the horizontal axis is of 1, the vertical axis is of 0, hence f(1) = 0.
More can be learned about functions at https://brainly.com/question/24808124
#SPJ1
Find the probability of a point chosen at random being in the shaded area of the diagram at the right
Answer:
1/2
Step-by-step explanation: because it is shaded or not
Absolute value of -3 is
Answer:
Step-by-step explanation:
The absolute value of -3 is 3.
Answer: 3
Step-by-step explanation:
solve for x 3x + 6y = 9
5(g + 8) - 7 = 117 - g
Answer: g=14
Step-by-step explanation:
5(g + 8) - 7 = 117 - g
5g+40-7=117-g
5g+33=117-g
6g+33=117
6g=84
g=14
[tex]5(g + 8) - 7 = 117 - g[/tex]
[tex]5g + 5 \cdot 8 -7 = 117 -g\\[/tex]
[tex]5g + 40 -7 = 117 -g[/tex]
[tex]6g = 117 - 40 + 7[/tex]
[tex]6g = 84[/tex]
[tex]g = 94 : 6[/tex]
[tex]g = 14[/tex]
In 2017, U.S. exports to Canada were $39.4 billion more than exports to Mexico. Together,
exports to these two countries totaled $525.4 billion. How much were exports to each
country.
The exports to each country are:
Exports to Mexico are $243 billion.Exports to Canada are $282.4What are equations?The equation is described as the state of being equal and is often represented as a math expression with equal values on either side, or it refers to a problem in which many factors must be considered. 2+2 = 3+1 is an example of an equation.So,
let the exports to Mexico be 'x'.
Exports to Canada will be x + 39.4.
Given:
U.S. exports to Canada were $39.4 billion more than exports to Mexico. Together,Exports to these two countries totaled $525.4 billion.So, the equation becomes:
x + x + 39.4 = 525.42x + 39.4 = 525.42x = 525.4 - 39.42x = 486x = 243So, exports to Mexico are 243 billion.
Exports to Canada are 243 + 39.4 = 282.4
Therefore, the exports to each country are:
Exports to Mexico are $243 billion.Exports to Canada are $282.4Know more about equations here:
https://brainly.com/question/2972832
#SPJ9
The principal interest formula I = Prt can be used to find the interest earned on an initial amount of money, called the
principal, P, given an interest rate, r, and an amount of time over which interest is accrued, t. Solve I = Prt for P when
I = $5,480, r = .04 annual interest, and t 7 years. Round your answer to the nearest hundredth.
PLEASE HELP GUYS
Answer:
1885.714
Step-by-step explanation:
I = ptr
5280 = 7×0.4×p
p = 5280/2.8
p = 1885.7
last question is How many people carried a tablet but not a cell
phone?
Answer:
No.1 is 89 No.2 is 11 No.3 is 60 and the last one is 29
find the measure of angle C of triangle ABC if:
Answer:
∠C = 180 - 3α
Step-by-step explanation:
The interior angles of a triangle always add up to 180°
So A + B + C = 180
C = 180 - (A + B)
= 180 - (α + 2α)
= 180 - 3α
Express the ratio below in its simplest form.
15:10
Answer:
3:2
Step-by-step explanation:
Divide 15 and 10 by 5.
I've managed to find the area of the shape I just need help stating the units of my answer
What is the slope of the tangent line for the function f(x)=2x^2-5x+1 at the point (1,-2)
A. -1
B.-9
C. 1
D. 0
E.9
This is given by the limit
[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} \frac{(2x^2 - 5x+1) - (-2)}{x - 1} = \lim_{x\to1} \frac{2x^2 - 5x + 3}{x - 1}[/tex]
Observe that [tex]2x^2-5x+3=0[/tex] when [tex]x=1[/tex], and factorizing gives
[tex]2x^2 - 5x + 3 = (x - 1) (2x - 3)[/tex]
so that
[tex]\displaystyle \lim_{x\to1} \frac{f(x) - f(1)}{x - 1} = \lim_{x\to1} (2x-3) = 2\cdot1 - 3 = \boxed{-1}[/tex]
(A)
28/48 simplified how do you simplify????????????????????
Answer: 14/24 or 7/12
Step-by-step explanation: keep on dividing 2 or just divide by 4
Elizabeth has 4 boxes of 100 toys and 3 toys that aren't in boxes. How many toys does she
have?
Answer:
Elizabeth has 403 toys.
Step-by-step explanation:
The main goal is to figure out how many toys Elizabeth has. So she has 4 boxes and each box has 100 toys. If she has 4 boxes of 100 it mean she have 400 toys but that's not the final answer. she also has 3 toys not in the boxes so we have to add that as well. So if we add 3 toys to the 400 toys we'd get a total of 403. Therefore Elizabeth has 403 toys and that would be our final answer.
I hope this helps, have a blessed day! :D
Which of the following is the graph of y = |x-3l?
Answer:
You only show one answer A. Lucky for you it's the correct one.
Step-by-step explanation:
Help me solve it please and include step by step.
The slope of the line AC is equal to the slope of the line CE.
We have the points:
A = ( - 3 , 6 )
C = ( - 1 , 3 )
Slope of AC will be:
Slope = ( y₂ - y₁ ) / ( x₂ - x₁ )
Slope of AC = m₁ = ( 3 - 6 ) / ( - 1 + 3 )
m₁ = - 3 / 2
m₁ = - 1.5
Now,
C = ( - 1 , 3 )
E = (3 , - 3)
Slope of AC = m₂ = ( - 3 - 3 ) / ( 3 + 1 )
m₂ = - 6 / 4
m₂ = - 3 / 2
m₂ = - 1.5
So, we get that:
m₁ = m₂
Therefore, we get that, the slope of the line AC is equal to the slope of the line CE.
Learn more about slope here:
https://brainly.com/question/3493733
#SPJ9
A 24 oz bottle of a new soda costs $3.33. What is the unit rate, rounded to the nearest tenth of a cent?
Intern
Kenny ran 2400 m on Monday.
He ran 511 m less on Tuesday than on Monday.
How many metres did he run altogether on both days?
Answer: 4289
Step-by-step explanation:
Total = 2400+(2400-511) = 4289
Are the following inverses of each other?
f(x) = 5x - 3
g(x) = 2+3
O No, the composition resulted in f(g(x)) =
= x
O Yes, the composition resulted in f(g(x)) = x
O No, the composition resulted in f(g(x)) = 0
O Yes, the composition resulted in f(g(x)) = 0
and g(f(x)): =x
and g(f(x)) = x
and g(f(x)) = 0
and g(f(x)) = 0
still trying to find help solving. Today is the last day, can someone help?
Answer:wow we have the same homework
Step-by-step explanation:
Can someone answer these??