Answer:
(0,-1)
(1,-5)
(2,-9)
Step-by-step explanation:
y = −4x −1
Let x=0
y = 0-1 = -1 (0,-1)
Let x = 1
y = -4(1) -1 = -4-1 =-5 (1,-5)
Let x = 2
y = -4(2) -1 = -8-1 =-9 (2,-9)
Santiago receives $179
per year in simple interest from three investments. Part is invested at 2%, part at 3%, and part at 4%. There is $500 more invested at 3% than at 2%. The amount invested at 4% is four times the amount invested at 3%. Find the amount invested at each rate.
9514 1404 393
Answer:
$400 at 2%$900 at 3%$3600 at 4%Step-by-step explanation:
Let x represent the amount invested at 3%. Then (x -500) is the amount invested at 2%, and 4x is the amount invested at 4%. The total interest income is ...
0.02(x -500) + 0.03x + 0.04(4x) = 179
0.21x -10 = 179 . . . . . simplify
0.21x = 189 . . . . . . . . add 10
x = 900 . . . . . . . . . . . divide by 0.21
x -500 = 400
4x = 3600
$400 is invested at 2%; $900 is invested at 3%, $3600 is invested at 4%.
Please help explanation if possible
Answer:
612 adults
361 students
Step-by-step explanation:
To solve this question, set two equations:
Let x be number of adults and y be number of students.
As there are in total 937 people, the equation would be the sum of both adults and children:
[tex]x+y=937[/tex]
[tex]x=937-y[/tex] ...... ( 1 )
As the total sale amount is $1109, the equation would be to add up the ticket fee:
[tex]2x+0.75y=1,109[/tex] ...... ( 2 )
Put ( 1 ) into ( 2 ):
[tex]2(937-y)+0.75y=1,109[/tex]
[tex]1874-2y+0.75y=1,109[/tex]
[tex]-1.25y=-765[/tex]
[tex]y=763/1.25[/tex]
[tex]y=612[/tex]
Put y into ( 1 ):
[tex]x=973-612[/tex]
[tex]x=361[/tex]
Therefore there are 612 adults and 361 students.
can you please tell me the answer I don't know
Answer:
1)
=6-15+7
=6-22
=-16 answer
2)
=7×40/5
=Then,7×8
=56 answer
What is the correct solution to the equation 1 – (2x + 4) = –4x + 5?
[tex]\\ \sf\longmapsto 1-(2x+4)=-4x+5[/tex]
[tex]\\ \sf\longmapsto 1-2x-4=-4x+5[/tex]
[tex]\\ \sf\longmapsto -2x-3=-4x+5[/tex]
[tex]\\ \sf\longmapsto -2x+4x=5+3[/tex]
[tex]\\ \sf\longmapsto 2x=8[/tex]
[tex]\\ \sf\longmapsto x=\dfrac{8}{2}[/tex]
[tex]\\ \sf\longmapsto x=4[/tex]
Step-by-step explanation:
[tex]\Large \boldsymbol {} \sf 1-(2x+4)=-4x+5 \\\\1-2x-4=-4x+5 \\\\4x-2x=5+3 \\\\2x=8 \\\\\boxed{\sf x=4}[/tex]
A lemonade recipe calls for 1/4 cups of lemon juice for every cup of water.
Plot the pairs in the table in a coordinate plane
Answer:
they are in order cross x with the y across from it
Step-by-step explanation:
should the quadratic formula be used to solve this question explain.
x^2+4x-3=0
Answer:
Yes
Step-by-step explanation:
This equation does not factorise, so quadratic equation will be useful. It is easier than other methods that can be applied to this equation.
Find the solution set of the inequality
Answer:
x>22
Step-by-step explanation:
Answer:
x > 22
Step-by-step explanation:
Given
52 - 3x < - 14 ( subtract 52 from both sides )
- 3x < - 66
Divide both sides by - 3, reversing the symbol as a result of dividing by a negative quantity.
x > 22
What is | −34 | ?
-------
l l
-------
l l
--------
Step-by-step explanation:
Here,
| −34 |
= 34
As,
| | are absolute symbols so it's denote only the neutral number such as, | - 1 | = 1
Answer:
34
Step-by-step explanation:
|-34|
The absolute value bars means taking the non-negative value
|-34| = 34
(PLEASE ANSWER ASAP I JUST NEED TO SEE IF I GOT THE RIGHT ANSWER PLEASE EXPLAIN ALSO)
Answer:
37.15 pounds left
Step-by-step explanation:
Add the two pound values
1.3+1.75= 3.05
Subtract it from the total number of pounds in the bag
40.2-3.05
=37.15
PLS HELP ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
_______________ are useful for comparing data and seeing which categories are most popular.
A. star graphs
B. line graphs
C. bar graphs
D. line plots
Answer:
Option C. bar graph is the answer.
1. thực hiện phép nhân
a) (2x-1)(x-8)
b) (x^2-3)(2x+4)
c) (2x-1)x+x^2-2(x-3)
d) x(2x-6).(-3x)+9x(x-1)
e) 2x(x^2-3x)-(x+1)(x^2-2)
f)3x(x-1)+x^2(x-2)+3(x-1)(x+1)
Answer:
Hey I'm sorry I didn't get to answer your question it's just that I need the points because I don't have enough to get help with my question. I hope you get the answer that you need for you question. Good Luck :).................
Step-by-step explanation:
Please help me, What is the length of DE?
Answer:
B
Step-by-step explanation:
The 2 triangles are similar, so the corresponding sides are in proportion, that is
[tex]\frac{DE}{XY}[/tex] = [tex]\frac{FD}{ZX}[/tex] , substitute values
[tex]\frac{DE}{9}[/tex] = [tex]\frac{8}{12}[/tex] ( cross- multiply )
12 DE = 72 ( divide both sides by 12 )
DE = 6 → B
Ms. Mitchell brings in 700 sour worms to distribute to the students at ... /1
her school. She gives 2/7 of the worms to the Kindergartners. Of the
remaining worms, she gives 7/25 to the 1st graders. Of the remaining
worms, she gives 4/9 to the 2nd graders. Of the remaining worms, she
gives 37/50 to the 3rd graders. Ms. Mitchell then distributes the
remaining worms evenly between the 4th graders. If there are 13 4th
graders, how many worms does each 4th grader get?
================================================
Explanation:
We'll step through the grade levels in increasing order
The teacher starts with 700 sour worms total. Then 2/7 of that is given to the Kindergartners
2/7 of 700 = (2/7)*700 = 200
So Ms. Mitchell handed out 200 worms to the Kindergartners.
This means she has 700-200 = 500 left over.
-----------------
Now onto the 1st graders.
The teacher hands out 7/25 of the remaining total (500) to the first graders
7/25 of 500 = (7/25)*500 = 140
She hands out 140 worms to the first graders and has 500-140 = 360 worms left.
-------------------
Now the 2nd graders
"Of the remaining worms, she gives 4/9 to the 2nd graders" tells us that
4/9 of 360 = (4/9)*360 = 160 worms are given to the second graders
This leaves 360-160 = 200 worms left
-------------------
Now the 3rd graders
37/50 of 200 = (37/50)*200 = 148
The teacher hands out 148 worms to the 3rd graders
There are 200 - 148 = 52 worms left.
--------------------
Finally, we're at the 4th graders
Each 4th grader gets the same number of worms (aka the amount is distributed equally). Since there are 52 worms left, and 13 fourth graders, this means each fourth grader gets 52/13 = 4 worms. It's a slightly interesting coincidence that the number '4' matches up with the grade level. It's possible your teacher adjusted the numbers to make this an intentional goal.
--------------------
To recap everything, we found these worm counts for each grade level
Kindergarten = 200 wormsFirst graders = 140 wormsSecond graders = 160 wormsThird Graders = 148 wormsFourth graders = 52 wormsNote how those values add back up to 700, ie 200+140+160+148+52 = 700. This helps confirm the answer.
Then once we see that 52 worms are left, each fourth grader gets 52/13 = 4 worms a piece.
So this is why the final answer is 4.
Find the values of p and q for which the system of the linear equation has
infinite number of solutions
2x -3y = 7
(p +q) x -(p+ q- 3) y =4p+q
unwanted ans will be reported
If it has infinite solutions
[tex]\boxed{\sf \dfrac{a_1}{a_2}=\dfrac{b_1}{b_2}=\dfrac{c_1}{c_2}}[/tex]
[tex]\\ \sf\longmapsto \dfrac{2}{p+q}=\dfrac{3}{p+q-3}[/tex]
[tex]\\ \sf\longmapsto 2(p+q-3)=3(p+q)[/tex]
[tex]\\ \sf\longmapsto 2p+2q-6=3p+3q[/tex]
[tex]\\ \sf\longmapsto 2p-3p+2q-3q=6[/tex]
[tex]\\ \sf\longmapsto -p-q=6[/tex]
[tex]\\ \sf\longmapsto p+q=-6[/tex]
[tex]\\ \sf\longmapsto p=-6-q[/tex]
Take p as 1
.q=-6-1=-7Good Afternoon I am really stuck on this question whoever solves it I will give them brainliest with no unacceptable question thank you so much!
Answer:
Card picked=2
P(factors of 28)={1,2,4,7,14,28}
total cards=4
in percentage=4 x 20 + 20
80+20=100
Therefore 2 in percentage will be
2 x 20 + 20
=40+20=60%
Factor X squared minus 2X -80
Answer:
(x - 10)(x + 8)
Step-by-step explanation:
x² - 2x - 80
Consider the factors of the constant term (- 80) which sum to give the coefficient of the x- term (- 2)
The factors are - 10 and + 8 , since
- 10 × 8 = - 80 and - 10 + 8 = - 2 , then
x² - 2x - 80 = (x - 10)(x + 8)
A class of 40 students took a math test 18 of the students had a weighted average of 80. The other students had a weighted average of 70. What is the average score of the whole class? A) 74 B) 74.5 C) 76 D) 76.5
==========================================================
Explanation:
Average = (sum of scores)/(number of scores)
We can turn that equation into symbolic form to say
A = S/n
We're told that "18 students had an average of 80" (paraphrased) which means,
A = S/n
80 = S/18
80*18 = S
S = 1440
Those 18 students' scores add up to 1440.
For the other group of 40-18 = 22 students, their scores add to
S = A*n
S = 70*22
S = 1540
Overall, everyone's scores add up to 1440+1540 = 2980
Divide this over the number of people in class (40) to get the final answer
2980/40 = 74.5
--------------------------------------------
Here's an alternative way to compute the answer
(18/40)*80 + (22/40)*70 = 74.5
This works because 18/40 of the class got an average of 80 while the remaining 22/40 of the class got an average of 70.
58°
X Х
jsut give a quick
Answer:
32
Step-by-step explanation:
The sum of the angles of a triangle is 180
58+90+x = 180
148+x = 180
x = 180-148
x=32
The angle sum property of a triangle:
The total measure of the three angles of a triangle is 180°
Solution[tex]\large\bf \longrightarrow \: {\underline{\red{x \: + \: 58 \degree \: + \: 90 \degree \: = \: 180 \degree}}}[/tex]
[tex]\large\bf \longrightarrow \: {\underline{\red{x \: + \: 148 \: = \: 180 \degree}}}[/tex]
[tex]\large\bf \longrightarrow \: {\underline{\red{x \: = \: 180 \degree \: - \: 148 \degree}}}[/tex]
[tex]\large\bf \longrightarrow \: {\underline{\red{x \: = \: 32 \degree}}}[/tex]
Find the sum of one thousand and forty-two, sixty-nine and five hundred and thirty-six.
with full explanation
Answer:
1042
69+5=74
100+36=16
Step-by-step explanation:
> one thousand = 1000 (thousandth place)
0 = hundred place
and fourty-two = 42 (tenths)
1042
> 69+5=74
sixty-nine = 69 (tenth place)
5 = (unit)
64
> 100+36=536
one hundred = 100(hundredth place)
36 ( tenths)
146
Find the area of the rectangle with the length 2x-4 and height of -3
Answer:
-3(2x-4) or -6x+12
Step-by-step explanation:
Area is H*W
theres no value for x so that would be it, unless there is then all you do is plug that into the answer I put.
1. Three products from renewable resources are
Answer:
biomass energy (such as ethanol), hydropower, geothermal power, wind energy, and solar energy.
Answer pls…………………………..
Answer:
10/27
Step-by-step explanation:
3^x = 10
We want to find 3^(x-3)
Rewriting
We know that a^(b-c) = a^b * a^ (-c)
3^x * (3^-3)
We know that 3^-3 = 1/3^3
3^x * 1/27
10 * 1/27
10/27
Please help simple alebgra! Write an equation representing the translation of f(x) = 7x + 3 down 4 units.
Will mark brainliest!
9514 1404 393
Answer:
g(x) = 7x -1
Step-by-step explanation:
The y-coordinate of a function tells how many units the function value lies above the x-axis. Translating that value down 4 units is the same as subtracting 4 from the function value.
g(x) = f(x) -4
g(x) = 7x +3 -4
g(x) = 7x -1
"A die is rolled and a number less than 5 comes up"
Which letter from A to G best represents the probability of the event?
Answer:
4/6
Step-by-step explanation:
Im pretty sure***
but if a dice has 6 sides, and you have to get something less than 5, which is 1-4, which is 4 numbers, so 4 out of 6 total is 4/6
The equation y = mx + b goes through the points (6,-2) and (-6,-8).
What is the value of m?
What is the value of b?
Answer:
m = 1/2
b = -5
Step-by-step explanation:
The equation of the line of the points (6,-2) and (-6,-8) is y = 1/2x — 5
A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The value of m and b in the given equation is 0.5 and -5, respectively.
What is the equation of a line?A line is a one-dimensional shape that is straight, has no thickness, and extends in both directions indefinitely. The equation of a line is given by,
y =mx + c
where,
x is the coordinate of the x-axis,
y is the coordinate of the y-axis,
m is the slope of the line, and
c is the y-intercept.
The given equation is the equation of a line, where m is the slope of the line and b is the y-intercept of the line. Therefore, the value of m or the slope of the equation is,
m = [-8 - (-2)] / [-6 - 6] = -6/-12 = 0.5
Now, substitute the value of x, y, and m in the given equation, therefore, the value of b can be written as,
y = mx + b
-2 = 0.5(6) = b
-2 = 3 + b
b = -2 + -3
b = -5
Hence, the value of m and b in the given equation is 0.5 and -5, respectively.
Learn more about Equation of Line here:
https://brainly.com/question/21511618
#SPJ2
could someone please assist...it would really help alot...thank you:)
I just need help with 4.2 and 4.3
Problem 4.2
We're told that y = 2x is the equation of the tangent line through point Q.
Plug this into the equation of the circle (that was given at the very top of the page). Solve for x.
x^2 + y^2 - 18x - 6y + 45 = 0
x^2 + (2x)^2 - 18x - 6(2x) + 45 = 0 ... every "y" replaced with "2x"
x^2 + 4x^2 - 18x - 12x + 45 = 0
5x^2 - 30x + 45 = 0
5(x^2 - 6x + 9) = 0
5(x-3)^2 = 0
(x-3)^2 = 0
x-3 = 0
x = 3
This then means y = 2x = 2*3 = 6
The coordinates of point Q are (x,y) = (3,6)
----------
Answer: (3,6)===========================================================
Problem 4.3
We first need to find the location of point S. That will involve solving this system of equations
[tex]\begin{cases}x-2y+12=0\\y = 2x\end{cases}[/tex]
which represent the equations of lines SR and QS in that exact order.
Like before, we'll apply substitution to solve for x.
x-2y+12 = 0
x-2(2x)+12 = 0
x-4x+12 = 0
-3x+12 = 0
12 = 3x
12/3 = x
4 = x
x = 4
Which leads to y = 2x = 2*4 = 8
Point S is located at (4,8)
Point R is given to be located at (6,9)
Apply the distance formula for these two points to find the length of SR (aka the distance from S to R).
[tex]S = (x_1,y_1) = (4,8)\\\\R = (x_2,y_2) = (6,9)\\\\d = \text{Length of SR, aka distance from S to R}\\\\d = \sqrt{(x_1 - x_2)^2 + (y_1 - y_2)^2}\\\\d = \sqrt{(4-6)^2 + (8-9)^2}\\\\d = \sqrt{(-2)^2 + (-1)^2}\\\\d = \sqrt{4 + 1}\\\\d = \sqrt{5}\\\\d \approx 2.236068\\\\[/tex]
The exact length is [tex]\sqrt{5}[/tex] and that approximates to roughly 2.236068 units.
----------
Answer:Exact length = [tex]\sqrt{5}[/tex] units
Approximate length = 2.236068 units
what is the bionomial expansion of (x-1y)^2
Answer:
[tex] {(x - y)}^{2} \\ = (x - y)(x - y)[/tex]
open the brackets:
[tex] = ( {x}^{2} - xy - xy + {y}^{2} ) \\ = {x}^{2} - 2xy + {y}^{2} [/tex]
Help me asap im not good at math
Answer:
[tex] > [/tex]
Step-by-step explanation:
The denominators are the same so, you have to look at the numerator which is greater, - 1 is greater because it's close to 0
Jackson has 5 boxes of 3 golf balls. Elsa
gives Jackson 2 more boxes of 3 golf
balls. How many golf balls does Jackson
have now?
15
five three times is equal to fifteen
is there any responsible way to use student loans why or why not
Answer:just use your student loans that you need as a student don’t waste it on games or unnecessary things.
Step-by-step explanation:
