[tex]x + y = 7~~~.....(i)\\\\xy=-30~~~~......(ii)\\\\\\\text{From (ii):}\\\\y= -\dfrac{30}x~~~~....(iii)\\\\\\\text{Substitute equation (iii) in equation (i):}\\\\\\x- \dfrac{30}x = 7\\\\\implies x^2 -30 = 7x\\\\\implies x^2 -7x -30 =0\\\\\implies x^2 -10x +3x -30 =0\\\\\implies x(x-10) +3(x-10) =0\\\\\implies (x+3)(x-10)=0\\\\\implies x = -3 ~~\text{or}~~ x=10\\\\\text{Substitute x = 10 in equation (iii):}\\\\\\y= -\dfrac{30}{10} =-3\\\\[/tex]
[tex]\text{Substitute x = -3 in equation (iii):}\\\\y = \dfrac{-30}{-3} =10\\\\\\\text{So, (x,y) =(10,-3) and (x,y)=(-3,10)}\\\\\\\text{Hence, the two numbers are}~ 10~ \text{and}~ -3.[/tex]
True or false: (log x)2 = 2logx. Explain your thinking.
a/m = b + c i need to make “a” the subject of the formula
Shameka buys a blue garden hose that is 16.5 feet long and a green garden hose that is 14.75 feet long. How many feet of garden hose does she buy?
Help please?
Answer:
21.25 feet
Step-by-step explanation:
16.5 feet
+14.75
=21.25 feets
Baby Deirdre wants to arrange 8 blocks in a row. How many different arrangements can the baby make?
There are
ways to arrange the 8 blocks.
✺༒Question༒✺
Refer to attachment
Nonsence answer will get report
Answer:
Hey mate.....
Step-by-step explanation:
This is ur answer.....
(i) 64(ii) 729(iii) 121(iv) 625Hope it helps!
Brainliest pls!
Follow me! :)
Answer:
REFER TO ATTACHMENT
I HOPE IT IS HELPFULThere are 65 seats on a train. 39 of the seats are empty. What percentage of the seats on the train are empty?
Answer: 60%
Step-by-step explanation:
39/65 = 3/5 = 60%
Answer:
60%
Step-by-step explanation:
65 seats in total = 100%
divide by 65 on both sides to get 1 seat
1 seat=1.54
times by 39
39 seats=60%
Given f(x) = -x+ 6 and g(x) = f(x + 3), write an equation for function g.
plz help
Answer:
equation of g(x) is 3-x
f(x)= -x+6 g(x)=f(x+3)
then,,
f(x+3)=-(x+3)+6 =-x-3+6 = 3-xie.. g(x)=3-x
What is the approximate value of t?
Answer:
8.48
Step-by-step explanation:
36 + 36 = 72
t^2 = 72
t = 6[tex]\sqrt{2}[/tex] = 8.48
Answer: 6
Step-by-step explanation:
How would I solve this?
Answer:
2a+3b=4a-3b
a+3=4b
b=3
a=9
Step-by-step explanation:
2a+3b=4a-3b
-2a=-6b
a=3b
a+3=4b
3b+3=4b
3=b
a=9
Please help it depends on my grade i have a 50 i need to pass this test.do the ordered pairs represent y as a function of x?
(9, 0), (8, 0), (-8, 3), (-3, -3), (-4, 2)
A. No, because there is more than one y-value for the same x-value.
B. Yes, because for every x-value there is only one y-value.
C. No, because there is more than one x-value for the same y-value.
D. Yes, because for every y-value there is only one x-value.
Answer:
a
Step-by-step explanation:
help plzz) A teacher made a copy of a map. To make the map easier to see, the teacher enlarged the area of the map by 38%. Let d represent the area of the original map. The expression d +0.38d is one way to represent the area of the new map. Write two expressions that represent the area of the new map.
Answer:
first expressions = 1.38d
second expressions = (1 + (38/100)d
James is planning to spend $425 on food for his vacation this summer. This is 34% of his total vacation budget. How much is James' total vacation budget?
1250$,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,
If there are 10 Skittles in a bag, 4 red, 4 green, and 2 purple, and there are 15 M&Ms in the same bag,
3 red, 6 brown, 4 blue, and 2 green, what is the probability of selecting a red piece of candy?
Answer:
28%
Step-by-step explanation:
(3red+4red)/25candy = 7/25 = 28/100 = 28%
Find the roots 3x^3-13x^2-26x-24
Thank you
Answer:
31781715561888155919761999
Determine the intercepts of the line
Answer:
25, -55
Step-by-step explanation:
Intercepts are where the line crosses the x and y axis
x intercept = 25
y intercept = -55
i neeeeeeeeeeeeeeeeeeeed hellp fast
Answer: point E
Step-by-step explanation:
please please look at the picture and see if you can help!!!! i’m struggling so badly!
a farm is sold for $457000, which gives a profit of 19%. Find the profit
Answer:
The profit is 86830
Step-by-step explanation:
To calculate percentage, just multiply the original number by the percent as a decimal. 457000x0.19=86830
Answer:
Profit: $73000
Step-by-step explanation:
Profit = Selling price (SP) - Cost price (CP)
First you need to find the CP
CP = (SP*100)/(100+Percentage profit)
SP= $457000
Percentage profit = 19%
CP= (457000*100)/(100+19)
CP= 45700000/119
CP= $384,033.6134
Profit = 457000-384,033.6134
Profit = $72966.3866
Profit rounded to the nearest 1,000 or the Thousands Place = $73,000
Hope this helps. Please give me the brainliest?
solve (2x + 5)= (2x + 3)(2x - 1)
[tex](2x + 5)= (2x + 3)(2x - 1)\\<=>2x+5=4x^2-2x+6x-3\\<=>4x^2-2x+6x-3-2x-5=0\\<=>4x^2+2x-8=0\\<=>(4x+1-\sqrt{33})( 4x+1+\sqrt{33})=0 \\<=> x=\frac{-1+\sqrt{33} }{4} /or/x=\frac{-1-\sqrt{33} }{4}[/tex]
Answer:
x = -1± sqrt( 33)
----------------------------
4
Step-by-step explanation:
(2x + 5)= (2x + 3)(2x - 1)
Distribute
2x+5 = 4x^2 +6x-2x-3
Combine like terms
2x+5 = 4x^2 +4x -3
Subtract 2x +5 from each side
0 = 4x^2 +4x-3-2x-5
Combine like terms
0 =4x^2 +2x -8
Using the quadratic formula
a=4 b=2 c=-8
x = -b± sqrt( b^2-4ac)
----------------------------
2a
x = -2± sqrt( 2^2-4(4)(-8))
----------------------------
2(4)
x = -2± sqrt( 4+128)
----------------------------
8
x = -2± sqrt( 132)
----------------------------
8
x = -2± 2sqrt( 33)
----------------------------
8
x = -1± sqrt( 33)
----------------------------
4
Can someone please help me with this question.
How can you tell whether two sets of data, ordered pairs, vary directly?
Answer:
graph them
Step-by-step explanation:
you can tell if you graph them
Colin invests £2350 into a savings account. The bank gives 4.2% compound
interest for the first 4 years and 4.9% thereafter. How much will Colin have after
10 years to the nearest pound?
Answer:
Answer:
£3692
Step-by-step explanation:
A = p(1 + r/n)^nt
Where,
A = future value
P = principal = £2350
r = interest rate = 4.2% = 0.042
n = number of periods = 1(annual)
t = time = 4 years
A = p(1 + r/n)^nt
= 2350(1 + 0.042/1)^1*4
= 2350(1 + 0.042)^4
= 2350(1.042)^4
= 2350(1.5789)
= 2770.42
A = £2770.42
Total years = 10
Remaining years = 10 – 4
= 6 years
Remaining 6 years
P = £2770.42
r = 4.9% = 0.049
n = 1
t = 6
A = p(1 + r/n)^nt
= 2770.42(1 + 0.049/1)^1*6
= 2770.42(1 + 0.049)^6
= 2770.42(1.049)^6
= 2770.42(1.3325)
= 3691.59
A = £3691.59
Approximately £3692
Thank you!
What is the multiplicative rate of change of the
exponential function shown on the graph?
20
2,
81
4
16
0 1
12
4
9
8
9
1.
NI
(-2
. 81)-1,3
X
(0, 1)
1
2
Intro
Done
Answer:
(d) 9/2
Step-by-step explanation:
The growth factor (multiplicative rate of change) can be found as the ratio of y-values for x-values that differ by 1.
Here, we have ...
x = 0, y = 1
x = 1, y = 9/2
These x-values differ by 1. The growth factor is (9/2)/1 = 9/2.
Find x, given the slope is -2. (x,-6) (-6,10)
Answer:
x= 2
Step-by-step explanation:
[tex]\boxed{slope = \frac{y _{1} - y_2}{x_1 - x_2} }[/tex]
Substitute known values into the formula:
[tex] - 2 = \frac{ - 6 - 10}{x - ( - 6)} [/tex]
[tex] - 2 = \frac{ - 16}{x + 6} [/tex]
-2(x +6)= -16
Divide both sides by -2:
x +6= -16 ÷(-2)
x +6= 8
Subtract both sides by 6:
x= 8 -6
x= 2
Find two numbers that round to 387.4 when rounded to the nearest tenth. Drag the numbers to the box.
Answer: By using the rounding rule.
Step-by-step explanation:
387 x 397 => 387.4
384 x 352 => 387.4
Which expression is equivalent to (15aºb²c34) (3a166-29cº) for all values of a, b, and
c where the expression is defined?
The answer is 45a16c34b27
Anita is making balloon bouquets for her school's autumn dance. She uses 3 orange balloons and 2 green balloons in every bouquet.
Pick the diagram that models the ratio in the story.
If Anita uses a total of 15 orange balloons, how many green balloons should she use?
Answer:
i think 10
Step-by-step explanation:
you multiply 3*5=15 and 2*5=10
Write an equation for the graph.
Answer: y=5/3x+3
Step-by-step explanation: remember rise over run meaning y over x next where the y intersect is is the b in the equation
Kashira has 3/9 of a pizza and Laila gave her 1/3 of a pizza. How much pizza does Kashira have now? Please provide your answer in simplest form. (NVM FIGURED IT OUT)
Answer:4/9 pizzas
Step-by-step explanation:
The relationship between y and x is 9/3 which table represents this relationship and why?
Answer:
First one
Step-by-step explanation:
For every 1 in x the y goes up by 3
Estimate the product. Then find the actual product
483 x 9.3
please label the actual product and the estimate
Actual Product:
4491.9
Estimated Product:
4492
How is it 4492?
4491.9
The 9 is greater than 5 making it go up,
aka, making the 1 turn into a 2.