Answer:
None of the options is true
Step-by-step explanation:
Given
[tex]y < 3x - 1[/tex]
[tex]y > -x + 4[/tex]
Required
Which makes the above inequality true
The missing options are:
[tex](4,0)\ (1,2)\ (0,4)\ (2,1)[/tex]
[tex](a)\ (x,y) = (4,0)[/tex]
Substitute values for x and y in the inequalities
[tex]y < 3x - 1[/tex]
[tex]0<3*4 - 1[/tex]
[tex]0<12 - 1[/tex]
[tex]0<11[/tex] ---- This is true
[tex]y > -x + 4[/tex]
[tex]0 > -4 + 4[/tex]
[tex]0 > 0[/tex] --- This is false
[tex](b)\ (x,y) = (1,2)[/tex]
Substitute values for x and y in the inequalities
[tex]y < 3x - 1[/tex]
[tex]2<3 * 1 - 1[/tex]
[tex]2<3 - 1[/tex]
[tex]2<2[/tex] --- This is false (no need to check the second inequality)
[tex](c)\ (x,y) = (0,4)[/tex]
Substitute values for x and y in the inequalities
[tex]y < 3x - 1[/tex]
[tex]4< 3*0-1[/tex]
[tex]4< 0-1[/tex]
[tex]4<-1[/tex] --- This is false (no need to check the second inequality)
[tex](d)\ (x,y) = (2,1)[/tex]
Substitute values for x and y in the inequalities
[tex]y < 3x - 1[/tex]
[tex]1<3*2-1[/tex]
[tex]1<6-1[/tex]
[tex]1<5[/tex] --- This is true
[tex]y > -x + 4[/tex]
[tex]1 > -2+4[/tex]
[tex]1 > 2[/tex] -- This is false
Hence, none of the options is true
Find the slope of the line that passes through (9, 6) and (5, 5).
Answer:
slope = [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
Calculate the slope using the slope formula
m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]
with (x₁, y₁ ) = (9, 6) and (x₃, y₃ ) = (5, 5)
m = [tex]\frac{5-6}{5-9}[/tex] = [tex]\frac{-1}{-4}[/tex] = [tex]\frac{1}{4}[/tex]
The function shown is a composition of the functions g(x) and h(x) .
f(x)=2x√+8−7
Which of the following shows a possible decomposition of the function f(x) ?
Sarah finds herself with 9 different cheeses and 9 different wines. In how many ways can she pair one cheese to one wine
Answer:
She has 9 choices for each different cheese.
For each of these cheeses there are 9 different wines,
So 9 * 9 = 81 and there are
81 possible different choices
A car travels at a speed of x miles per hour for 3 hours and at half that speed for 2 hours. Which expression gives the total distance the car traveled in 5 hours?
Answer:
3x + (x/2) *2
Step-by-step explanation:
The distance for the first 3 hours is rate times time
x *3
The distance for the next 2 hours is rate times time
x/2 *2
Add them together to get the total distance
3x + (x/2) *2
a parallelogram has side lenghts 20 cm and 25 cm. the diagonal opposite the obtuse angle measures 38 cm. what is the measure of the obtuse angle?
Step-by-step explanation:
1. draw the parallelogram with side 20cm and 25cm respectively and also the diagonal as well.
2.Clearly it forms a triangle in the parallelogram with three known lengths of side.
3.Using the cosine rule : c^2=b^2+c^2 -2bc cos c to find the obtuse angle.
9514 1404 393
Answer:
114.8°
Step-by-step explanation:
The angles can be found using the Law of Cosines. It tells you ...
c² = a² +b² -2ab·cos(C)
Then angle C can be found to be ...
C = arccos((a² +b² -c²)/(2ab)) = arccos((20² +25² -38²)/(2·20·25))
C = arccos(-419/1000) ≈ 114.77°
The measure of the obtuse angle is about 114.8°.
álgebra 1 solve -2 + 11(17y + 15)
Work Shown:
-2 + 11(17y + 15)
-2 + 11(17y) + 11(15) .... distributive property
-2 + 187y + 165
187y + (-2+165)
187y + 163
Conditional Statement: if p then q The converse form of a conditional statement is when: O p and q are switched, and both negated. p and the q are switched. Neither p or q is negated. O p and q are both negated. Neither p or q are swithced.
B) p and the q are switched
C) Neither p or q is negated
========================================================
Explanation:
The original conditional "if P, then Q" has P and Q swap places to form the converse. So the converse would be "if Q, then P". We don't negate P, and we don't negate Q either.
Here is the full list
Original = If P, then QConverse = If Q, then PInverse = If not P, then not QContrapositive = If not Q, then not PSide notes:
The original and contrapositive are equivalent in truth value.The converse and inverse are equivalent in truth value.Can someone help me with this math homework please!
Answer:
2 and 3.
Step-by-step explanation:
2. and 3.
the total number of paintings depend upon the number of weeks that have passed as she adds 3 paintings every week to her collection.
1. can't be an option as output values depend upon the input values and hence not independent
4. can't be an option because each week that passes she adds 3 more paintings and since one input has 3 outputs, its not a function.
5. the number of weeks is the input value and number of paintings is the output value as you can later SEE how many paintings she has, not how many weeks it took her.
Answer:
(B, C, D)
Step-by-step explanation:
This scenario can be represented using this equation:
y = 3x + 7
y = total paintings after # of weeks (dependent variable)
x = # of weeks (independent variable)
3 = 3 paintings per week
7 = initial number of paintings
Let's evaluate each answer choice:
"The independent variable is represented by the ouput values"
No, this is wrong. The indepedent variable is the input values.
"The dependent variable is the total number of paintings"
This is correct. The total # of paintings is the output value, or the dependent variable.
"The total number of paintings depends on the number of weeks that have passed"
This is correct. The total # of paintings is the output value, or the dependent variable, because it depends on the # of weeks that pass by.
"This scenario is a function because for each week that passes, there will be exactly one total number of paintings"
This is correct. There is only one possible output for each input.
"The number of weeks is the output value"
No, this is wrong. The total # of paintings is the output value, not the # of weeks.
Hope it helps (●'◡'●)
can i please get some help on this one?
Answer:
wht yr u in tis is too hard yk
Step-by-step explanation:
People pack seeds into foils and store them in a seed vault. Each foil contains 500 seeds. If the vault has 145,000 seeds altogether, how many foils are in the vault?
Step-by-step explanation:
dbdhdhbdbshsjakkakkajnwbsbdbdbdbbdbdbdvdvdvvvddvvdvd
Answer:
290 foils
Step-by-step explanation:
145,000÷500=290
A bag contains 13 blue marbles, 12 red marbles, 6 yellow marbles, and 8 green marbles. What is the probability of picking a red marble, putting that one back and then picking another red marble?
Answer:
(12/39) * (12/39) or 16/169
Step-by-step explanation:
7x-49=y
Solve for x?
The solution for x is x = (y + 49)/7.
Given that an equation 7x - 49 = y, we need to determine the equation in for of x,
To solve for x in the equation 7x - 49 = y, we'll isolate x on one side of the equation.
Here's the step-by-step process:
Start with the given equation: 7x - 49 = y.
Add 49 to both sides of the equation to isolate the term with x:
7x = y + 49.
Divide both sides of the equation by 7 to solve for x:
(7x)/7 = (y + 49)/7.
Simplify:
x = (y + 49)/7.
Therefore, the solution for x is x = (y + 49)/7.
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What is the degree of this polynomial? 5y2 + y +1
O A. 5
O B. 1
O C. 3
O D. 2
Answer:
Option D is correct
Step-by-step explanation:
In the above polynomial, 2 is degree of polynomial because the highest degree of polynomial is 2.
Hope it is helpful....What is the fraction for the following decimal expansion? 0.16
OA. 1/6
OB. 2/25
OC. 1/3
OD. 4/25
Answer:
D. 4/25Step-by-step explanation:
As,
0.16
= 16/100
= 4/25. [Taking common factor 4 from both 16 and 100]
The equation of a line is 2(y + 1) = 10x + 3.
The y-intercept of the line is
, and the slope of the line is
Answer:
y intercept is (0,-0.5) and the slope is 5.
Step-by-step explanation:
Let's rewrite the equation in slope intercept form.
Step 1: divide both sides by two:
[tex]\frac{2\left(y+1\right)}{2}=\frac{10x}{2}+\frac{3}{2}[/tex]
Step 2: simplify [tex]y+1=\frac{10x+3}{2}[/tex]
Step 3: subtract one from both sides: [tex]y+1-1=\frac{10x+3}{2}-1[/tex]
[tex]y=\frac{10x+3}{2}-1[/tex]
[tex]y = 5x - \frac{1}{2}[/tex]
Question 2 of 10
If f(x) x/2-3 and g(x) = 4x^2 + x - 4, find (f + g)(x).
A. 4x+3x-7
B. 4x2+x-1
C. 66²-7
D. 4x + x-
Answer:
B
Step-by-step explanation:
PLEASE HELP ME
Which equation represents this sentence
“Mark is five years older than Jeffrey. The sum of Mark’s age and triple Jeffrey’s age is 73”
Answer:
C
Step-by-step explanation:
Let m represent Mark's age and j represent Jeffrey's age.
Mark is five years older than Jeffrey. Hence:
[tex]m=j+5[/tex]
The sum of Mark's age and triple Jeffrey's age is 73. In other words:
[tex]m+3j=73[/tex]
We can substitute:
[tex](j+5)+3j=73[/tex]
Therefore, our answer is C.
Ted can clear a football field of debris in 3 hours. Jacob can clear the same field in 2 hours. When they work together, the situation can be modeled by the equation, where t is the number of hours it would take to clear the field together.
How long will it take Ted and Jacob to clear the field together?
Answer:
[tex]\frac{6}{5}[/tex] of an hour = 1 1/5 hour = 72 minutes
Step-by-step explanation:
[tex]\frac{1}{3} h + \frac{1}{2}h = 1\\\\\frac{2}{6} h + \frac{3}{6}h = 1\\\\\\\frac{5 }{6} h =1\\\\h=\frac{6}{5}[/tex]
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
What is an equation?An equation contains one or more terms with variables connected by an equal sign.
Example:
2x + 4y = 9 is an equation.
2x = 8 is an equation.
We have,
Let's use the formula for the work rate:
Ted's work rate = 1/3 of the field per hour
Jacob's work rate = 1/2 of the field per hour
Together, their work rate.
= (1/3 + 1/2) of the field per hour
Now,
We can simplify the equation for the combined work rate by finding a common denominator:
(1/3 + 1/2)
= (2/6 + 3/6)
= 5/6 of the field per hour
Now we can use the formula for the work rate to solve the time it would take them to clear the field together:
(5/6)t = 1
(where t is the time in hours)
Solving for t:
(5/6)t = 1
t = 6/5
Therefore,
It would take Ted and Jacob 6/5 or 1.2 hours to clear the field together.
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can someone please help me with my math assignment??? really need the answer today. And also please don't answer this if you didn't know or for just points
Answer:
it cost 80 dollars
Step-by-step explanation:
cost per bag for X brand =25 $
cost per bag for y brand = 20$
minimize Z=(25X +20 y)
further formulate the problem
the given constraints are
2x + y equal 12
2x + 9y equal 36
2x + 3y equal 24
well on the graph given plot of the constraints
the corner points are
(0;0)
(6;0)
(0;4)
(9;2.5)
minimum z occurs at (0:4)
value of Z(minimum cost)=80$
solve (algebra 1)− 0.32 + 0.18 = 0.25 − 1.95
Answer:
0.50=1.7. They do not equal each other
Step-by-step explanation:
Thats what I got from this question
someone help me please with this algebra problem
Answer:
4
Step-by-step explanation:
3r = 10 + 5s
r = 10
3(10) = 10 + 5s
30 = 10 + 5r
20 = 5r
r = 4
simplify the expression (11-5i) - (12+2i)
Answer:
= -(1+7i)
Step-by-step explanation:
(11-5i)-(12+2i)11-5i-12-2i11-12-5i-2i-1-7i-(1+7i)hope it helps stay safe healthy and happy....1. The diagram shows a semicircle OABC. If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A
Step-by-step explanation:
— If the arc AB has length 3.2 cm, calculate (a) the length of the radius, (b) ... the length of the radius, (b) the length of the arc BC. r 0.8 rad С o r A .
solve for x -3x+2=-11 please
Answer:
6.5
Step-by-step explanation:
We need to solve out for x , the given Equation is ,
[tex]: \implies[/tex] x - 3x + 2 = -11
[tex]: \implies[/tex] -2x = -11 -2
[tex]: \implies[/tex] -2x = -13
[tex]: \implies[/tex] x = -13/-2
[tex]: \implies[/tex] x = 6.5
Answer:
x = 6.5
Step-by-step explanation:
[tex]x - 3x + 2 = - 11 \\ - 2x + 2 = - 11 \\ - 2x = - 11 - 2 \\ \frac{ - 2x}{ - 2} = \frac{ - 13}{ - 2} \\ x = + 6.5 [/tex]
if a/b = 2 /5, b/c = 3 /8, a/c =??
Answer:
3/20
Step-by-step explanation:
By question it's given that ,
[tex]\implies \dfrac{a}{b}=\dfrac{2}{5}[/tex]
[tex]\implies \dfrac{b}{c}=\dfrac{3}{8}[/tex]
And we need to find out the value of a/c .For that Multiply both of them , we have ;
[tex]\implies \dfrac{a}{b} \times\dfrac{b}{c}=\dfrac{2}{5}\times \dfrac{3}{8} \\\\\implies \dfrac{a}{c}= \dfrac{3}{20}[/tex]
Hence the required answer is 3/20 .
EXERCISE NA Amarutactures 1200 scooters in 18 days. How many scooters does mane in 1 day
Answer:
66
Step-by-step explanation:
he uses 66 in one day
Find the angle between u = (8,-3) and v = (-3,8). Round to the nearest tenth of a degree.
Write the equation of the line passing through the points (−2,3) and (−1,−2) in Slope-Intercept and Point-Slope Form.
solve the equation
45 = 3(x + 1)
Answer:
x = 14
Step-by-step explanation:
45 = 3(x + 1)
Distribute the 3
3(x) = 3x
3(1) = 3
We now have 45 = 3x + 3
Subtract 3 from both sides
45 - 3 = 42
3 - 3 cancels out
We now have 42 = 3x
Divide both sides by 3
42/3 = 14
3x / 3 = x
We're left with x = 14
Answer:
x = 14
Step-by-step explanation:
45 = 3(x + 1)
Distribute
45 = 3x + 3
-3 -3
----------------
42 = 3x
---- ----
3 3
14 = x
Solve -5x + 5y = 15 and 3x – 2y=-8 by elimination
If someone can help that’d be brilliant
Step-by-step explanation:
-5x+5y=15(multiply by 2)
3×-2y=-8(multiply by 5)
-10×+10y=30
15×-10y=-40
5x=-10
x=-2
Here,
-5x+5y=15.......(I)
and
3x-2y=8.....(II)
Now,
adding 3 in eqn (II)
so, 6x-5y=8
Now,
combining eqn (I) &(II)
-5x+5y=15
+6x-5y=8
[both 5y is cancelled ]
or, x=7
Now,
in eqn(i)
-5x+5y=15
or, -5*7+5y=15
or, -35+5y=15
or, -35-15=-5y
or, -50=-5y
or, -50/-5=y
[minus is cancelled ]
Therefore, y=10 and x=7
