Answer:
[tex]x = \frac{ - 3}{2} \: or \: \frac{1}{3} [/tex]
Step-by-step explanation:
[tex]7 {x}^{2} + 10x - 3 = {x}^{2} + 3x[/tex]
[tex] = > 7 {x}^{2} - {x}^{2} + 10x - 3x -3 = 0[/tex]
[tex] = > 6 {x}^{2} + 7x - 3 = 0[/tex]
[tex] = > 6 {x}^{2} + 9x - 2x - 3 = 0[/tex]
[tex] = > 3x(2x + 3) - 1(2x + 3) = 0[/tex]
[tex] = > (2x + 3)(3x - 1) = 0[/tex]
Here x will have 2 values.
1) [tex]2x + 3 = 0[/tex]
[tex] = > 2x = - 3[/tex]
[tex] = > x = \frac{ - 3}{2} [/tex]
2)[tex]3x - 1 = 0[/tex]
[tex] = > 3x = 1[/tex]
[tex] = > x = \frac{1}{3} [/tex]
PLEASE HELP!!
Daniel's house is identified by the point on the coordinate grid. If he went three units west and three units north, at what point where he end up?
A. (4, -2)
B. (-2, 4)
C. (1, 1)
D. (1, -1)
Answer:
If he starts at his house (4,-2) and goes left 3 and up 3 he ends up at C. (1,1)
Answer:
sdadawdasdwasda
c 11
Please help I’m being timed
Four points are shown
D (-2, 1)
E (1, 5)
F (4, 9)
G (7, -3)
which three points are contained by the same line?
A: D, E, F
B: E, F, G
C: D, E, G
D: D, F, G
YALL ARE WIZARDS IF YALL CAN DO IT
Answer:
So, lets say the refridgerator started at 37 degrees F alright?
Step-by-step explanation:
37 - 4 = 33
33 + 2 = 35
35 - 7 = 28
28 - 1 = 27
27 + 3 = 30
30 + 1 = 31
So the final temurature at 2:00pm would be 31 degrees F
Hope this helped :)
Charles a shirt that was originally priced $13 he received a $2.60 discount what percent discount did Charles receive
Answer: I Believe 15%, But I'd Double Check.
Mary has some money to purchase furniture for her home. She bought a television that cost $1400. She spent 40% of the remaining money on a bed. If the bed cost 25% as much as the total amount of money she had at first. What is the difference between the cost of the television set and the bed?
Answer:
The difference $2.733.30
Step-by-step explanation:
Let the total money be x
The remaining money will be (x-1400)
40% of this on a bed
= 40/100 (x-1400)
= 0.4(x-1400)
cost of bed is 25% of x
Thus;
0.4(x-1400) = 25/100 * x
0.4(x-1400) = 0.25x
0.4x - 560 = 0.25x
0.4x-0.25x = 560
= 0.15x = 560
x = 560/0.15
So the difference between the tv and. bed, will be ;
560/0.15 - 1400
= (560-210)/0.15 = $2,333.33
simplify (y + 1)⁵ ÷ (y + 1)³
Answer:
[tex]given \\ \frac{ {(y + 1)}^{5} }{(y + 1) ^{3} } \\ as \: they \: have \: same \: base \\ {(y + 1)}^{5 - 3} \\ = (y + 1) ^{2} \\ or \: we \: can \: write \\ = (y + 1)(y + 1) \\ \\ hope \: it \: helps.[/tex]
Answer:
The answer is [tex]y^2+2y+1[/tex]
Explanation:
- Properties of Exponent -
[tex]\frac{a^m}{a^n}=a^{m-n}[/tex]
Our a is y+1
Our m is 5
Our n is 3
[tex]\frac{(y+1)^5}{(y+1)^3}=(y+1)^{5-3}\\(y+1)^2[/tex]
- Multiply The Polynomial -
As for the Quadratic Polynomial and being squared, we use the following formula:
[tex](x+y)^2=x^2+2xy+y^2[/tex]
Our x is y
Our y is 1
Thus,
[tex](y+1)^2=y^2+2(y)(1)+1^2\\(y+1)^2=y^2+2y+1[/tex]
As our simplified, multiplied form is [tex]y^2+2y+1[/tex]
4. What is the scale Factor?
А
х
10
15
5
B
10
E
20
F
please help
Seven less than the sum of p and t is as much as 6.
P + t -7 =6
10+3-7=6
10+3=13
13-7=6
P=10 t=3
The values of the numbers p and t will be 10 and 3 respectively.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The value of the numbers will be calculated as:-
P + t -7 =6
10+3-7=6
10+3=13
13-7=6
P=10 t=3
Therefore, the values of the numbers p and t will be 10 and 3 respectively.
To know more about an expression follow
brainly.com/question/2164351
#SPJ2
$90 with 25% off (SHOW WORK)
Answer:
$22.5
Step-by-step explanation:
25% of $90
25% x 90
0.25 x 90
$22.5
Mallory and Aimee save money for summer camp. They both plan to save the same amount of money. Mallory has 35$ and plans to save 15$ each week. Aimee has 5$ and plans to save 50$ a week. How many weeks it'll take for Aimee and Malloy to have the same amount of money
Answer:
0.857 weeks
Step-by-step explanation:
Using the information provided we can create the following equations for the total amount Mallory (M) and Aimee (A) will save after x number of weeks...
M = 35 + 15x
A = 5 + 50x
Now we would need to make both of these equations equal one another and solve for x to calculate after how many week both Aimee and Mallory will have saved the same amount of money
35 + 15x = 5 + 50x ... subtract 5 and 15x from both sides
30 = 35x ... divide both sides by 35
[tex]\frac{30}{35}[/tex] or 0.857 = x
Finally, we can see that after 0.857 weeks both Mallory and Aimee will have saved the same amount of money.
*** The process provided is correct but I believe that the actual values for Aimees savings should be $50 and plans to save $5 a week, this would make the final result 1.5 weeks which would make more sense***
Noah has been getting $20 a month for his allowance. He puts $8 of his allowance in the bank. How many months will it take him to save $128?
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply
Answer:
When x=2, both expressions have a value of 18.
The expressions have equivalent values for any value of x.
The expressions have equivalent values if x=8
Step-by-step explanation:
James determined that these two expressions were equivalent expressions using the values of x = 4 and x = 6. Which statements are true? Check all that apply. 7 x + 4 and 3 x + 5 + 4 x minus 1
When x = 2, both expressions have a value of 18.
7x + 4
= 7(2) + 4
= 14 + 4
= 18
3x + 5 + 4x - 1
3(2) + 5 + 4(2) - 1
6 + 5 + 8 - 1
= 18
The expressions are only equivalent for x = 4 and x = 6.
• This is not true because the expression is also equivalent for x = 2
The expressions are only equivalent when evaluated with even values.
When x = 1
7x + 4
7(1) + 4
= 7 + 4
= 11
3x + 5 + 4x - 1
3(1) + 5 + 4(1) - 1
3 + 5 + 4 - 1
= 11
The expressions have equivalent values for any value of x.
Yes, it has an equivalent value at any value of x
The expressions should have been evaluated with one odd value and one even value.
When x = 0, the first expression has a value of 4 and the second expression has a value of 5.
7x + 4
7(0) + 4
= 0 + 4
= 4
3x + 5 + 4x - 1
3(0) + 5 + 4(0) - 1
0 + 5 + 0 -1
= 4
The expressions have equivalent values if x = 8.
7x + 4
7(8) + 4
56 + 4
= 60
3x + 5 + 4x - 1
3(8) + 5 + 4(8) - 1
24 + 5 + 32 - 1
= 60
Answer:
1,4,7
Step-by-step explanation:
On dividing a natural number by 13, the remainder is 3 and on dividing the same number by 21, the remainder
is 11. Ifthe number lies between 500 and 600, then the remainder on dividing the number by 19 is
9514 1404 393
Answer:
4
Step-by-step explanation:
The least common multiple of 13 and 21 is 274, so the number of interest will be 10 less than that. The value in the given range is ...
2(274) -10 = 536
We are interested in the remainder from 536/19, which is 4.
__
536 = 13·41 +3 = 21·25 +11 = 19·28 +4
Rocío paga por un par de zapatos 94.50 soles sabiendo que es el precio y luego de los descuentos sucesivos de 10 %y 20% cuál es el precio original de los zapatos
Responder:
$ 131.25
Explicación paso a paso:
Dado que :
Importe pagado tras sucesivos descuentos del 10% y 20%
Sea el costo original = x
Importe final tras ambos descuentos = 94,5
Primer descuento = (1 - 0.1) x = 0.9x
Segundo descuento: (1 - 0.2) de 0.9x = 0.8 de 0.9x = 94.5
Es decir ; 0,8 * 0,9x = 94,50
0,72x = 94,50
Dividir ambos lados por 0,72
0,72x / 0,72 = 94,50 / 0,72
x = 131,25
Por lo tanto, precio original = $ 131.25
Starter
£1 = €1.16
What are £2 worth in Euros?
What about £5?
And £50?
If we were to plot these on axes, what shape would the
graph be?
Where would the graph cross the axes?
What would we label the axes with?
Answer:
1) £2 = €2.32
£5 = €5.80
£50 = €58
2) The graph will be a straight line
3) (0, 0)
4) Label the independent variable, £ on the x-axis and dependent variable € on the y-axis
Step-by-step explanation:
1) The given conversion factors is £1 = €1.16
Therefore;
£2 = 2 × €1.16 = €2.32
£2 = €2.32
£5 = 5 × €1.16 = €5.80
£5 = €5.80
£50 = 50 × €1.16 = €58
£50 = €58
2) The shape of the plot of the directly proportional currencies graph will be a straight line
3) Given that the £ is directly proportional to the € and that the value of the € can be found directly by multiplying the amount in £ by 1.16, without the addition of a constant, the graph crosses the axes at the origin (0, 0)
4) The y-axes which is the dependent variable should be labelled €, while the x-axis which is the independent variable should be labelled £
If point A (4, -3) is translated 3 units horizontally and -5 units vertically, rotated 90° clockwise, reflected over the x-axis, and dilated by a factor of 5: a) What is the rule (written using proper symbols)? b) What are the coordinates of A'?
Given:
Point A (4, -3) is translated 3 units horizontally and -5 units vertically, rotated 90° clockwise, reflected over the x-axis, and dilated by a factor of 5.
To find:
The rule and coordinates of A'.
Solution:
Let a point be P(x,y).
If a point translated 3 units horizontally and -5 units vertically, then
[tex]P(x,y)\to P_1(x+3,y-5)[/tex]
Then, rotated 90° clockwise.
[tex](x,y)\to (y,-x)[/tex]
[tex]P_1(x+3,y-5)\to P_2(y-5,-(x+3))[/tex]
Then, reflected over the x-axis.
[tex](x,y)\to (x,-y)[/tex]
[tex]P_2(y-5,-(x+3))\to P_3(y-5,x+3)[/tex]
Dilated by a factor of 5.
[tex](x,y)\to (5x,5y)[/tex]
[tex]P_3(y-5,x+3)\to P'(5(y-5),5(x+3))[/tex]
[tex]P_3(y-5,x+3)\to P'(5y-25,5x+15)[/tex]
So, the rule of transformation is
[tex](x,y)\to (5y-25,5x+15)[/tex]
We have a point A(4,-3). So, put x=4 and y=-3.
[tex]A(x,y)\to A'(5(-3)-25,5(4)+15)[/tex]
[tex]A(x,y)\to A'(-15-25,20+15)[/tex]
[tex]A(x,y)\to A'(-40,35)[/tex]
Therefore, the coordinate of point A' are (-40,35).
7th grade math , help me please :)
Answer:
Done!
Step-by-step explanation:
1. 4 is a coefficient
x is a variable
12 is a constant
2. a is a variable
3 is a coefficient
b is a variable
The diagram below represents the measurements of Jennie’s yard. The yard’s width is x feet shorter than its length. If the area of the yard is 540 square feet, how many feet shorter than the length is the width?
A yard with a length of 30 feet and a width of (30 minus x) feet.
Which equation represents the scenario?
30 + (30 – x) = 540
540 – 30 = 30 – x
30(30 – x) = 540
540 – (30 – x) = 30
Answer:
30(30-x)=540
Step-by-step explanation:
Answer:
30(30 – x) = 540
c
Step-by-step explanation:
hi , which grade r u in ?
Need help ASAP TYSM
Answer:
Step-by-step explanation:
1/2
What is the area of the rectangle 3cm 3cm
Answer:
18 square centimeters
Step-by-step explanation:
To find the area of a rectangle follow the formula, A=lw. Where A is the area, l is the length, and w is the width. So to find the area plug the dimensions into the formula. This would be A=6 x 3, which equals 18. Therefore the answer is 18 centimeters squared.
Answer:
9 cm
Step-by-step explanation:
Area is length x width
3 cm x 3 cm = 9 cm
But if you are doing the problem from the picture it is
A = 6 cm x 3 cm
= 18 cm
Craig likes to collect records. last year he had 10 records in his collection. now he has 13 records. what is the percent increase of his collection?
Answer:
30%
Step-by-step explanation:
lol
Answer:
The answer to this problem would be 30%
Step-by-step explanation:
I had this exact problem, and I got it correct......
What is the area of this figure?
8 in.
Enter your answer in the box.
16 in
7
20 in
NEED ANSWER ASAPPP PLEASE!!
Answer:
(-2, -12), (0, 2), (2, 16), (4, 30)
Step-by-step explanation:
Input: -2
y = 7x + 2
y = 7(-2) + 2
y = -14 + 2
y = -12 (Output)
Input: 0
y = 7x + 2
y = 7(0) + 2
y = 0 + 2
y = 2 (Output)
Input : 2
y = 7x + 2
y = 7(2) + 2
y = 14 + 2
y = 16 (Output)
Input: 4
y = 7x + 2
y = 7(4) + 2
y = 28 + 2
y = 30 (Output)
Will mark Brianliest correct answer !!!!!!!!!! Please answer !!!!!!!!!!
Answer:
x = 22
Step-by-step explanation:
Answer:
22
Step-by-step explanation:
other angle that is not x is 180-134= 46 degrees
180-(46+112)=x
180-158=x
22=x
Find the equation of the line.
Use exact numbers
Y=
Answer:
[tex]y=-\frac{3}{2} x+3[/tex]
Step-by-step explanation:
The slope (m) is [tex]-\frac{3}{2}[/tex] by finding the rise (the change in y ⇒ ∆y), over the run (the change in x ⇒ ∆x) from any two points from the line. In this case, the rise is -3, and the run is 2 OR you can say that the rise is 3, and the run is -2.
The y-intercept (b) is 3 because it’s where it intersects the y-axis. If you see the image, you can see that the line intersects the y-axis at the point (0, 3). So, the y-intercept (b) is 3.
Put it all together in Slope-intercept form, which is y=mx+b. So the m (slope) is [tex]-\frac{3}{2}[/tex] and the b (y-intercept) is 3. Plug those in to get: [tex]y=-\frac{3}{2} x+3[/tex]
Hope this helps! :)
The temperature of a solution in a science experiment is –6.2℃. Jesse wants to raise the temperature so that it is positive. Give an example of a number of degrees Celcius by which Jesse could raise the temperature? pls i need the answer
Answer:
184
Step-by-step explanation:
hope this helps!! :D
Andrews math teacher entered the seventh- grade students in a math competition. There was an enrollment fee of $30 and also an $11 charge each packet of 10 test. The total cost was $151. How many test were purchased?
Answer:
11
Step-by-step explanation:
You would start by subtracting $30 from $151 which is $121.
Then you would divide this by 11 which 121÷11=11
So 11 test were bought.
Write an equation in slope-intercept form given the point and the slope. Then graph the equation.
Point: (2, 4); Slope: -3/4
Answer:
y=-3/4x+5.5
Step-by-step explanation:
The side length of a square with an area of 49
Answer:
7
Step-by-step explanation:
A square has 4 sides, all of equal length. We can simply find the square root of the area to find the length and width, or length of each side. So to find the length, you find the square root of the area.
[tex] \sqrt{49} = 7[/tex]
Cassie needs at least $140 to buy a graphing calculator for math class. Currently she has $30 saved and her neighbor tells her she can babysit and earn $10 an hour. What is the minimum number of hours Cassie will need to babysit in order to have enough money to buy the calculator?
The equation needs to have a inequality not a equal sign with work. Please help
Answer:
11
Step-by-step explanation:
140 - 30 =110
110 ÷ 10 = 11
answer is 11 hours