Factorise 3x²+5x-12
Show working out
hi <3
i'm not sure of which method you will have been taught but i'll try to explain the method i was shown.
so, you need to multiply the coefficient of x^2 by the last value
3 x -12 = -36
now, you need to find two values that multiply to make -36 but add to make 5.
9 and 4 would work. it would have to be positive 9 and negative 4, as these would subtract to give the 5 that you need
now we have:
(x - 4)(x + 9)
however, we need to achieve the 3 from somewhere so it needs to be divided somewhere
9 is divisible by 3 so you can divide it there. as 4 cannot divide by 3, you would move the 3 up to be the coefficient.
thus, your final answer would be:
(3x - 4)(x + 3)
hope this helps :)
Answer:
it's gonna be 3(X*2 + 4X - 4)
Step-by-step explanation:
Just factor out 3 from the expression
Help me please i don’t have my notes and I forget how to do this
Answer:
AC = AB + BC
18 = (2X - 4) + (3X + 2)
18 = 5X - 2 ( add/subtract like terms)
20 = 5X (-2 take over otherside - 18 + 2)
X = 4
SUB X INTO AB AND BC
AB = 2(4) - 4 = 4
BC = 3(4) + 2 = 14
Hitler purchased a watch for Rs. 3500 and sold it to Alex at 5% loss. Find her loss amount and the price at which she sold the watch
Answer:
Loss Amount: 175; Price: 3325
Step-by-step explanation:
You can multiply 3500 by 0.05 (which is 5% in decimal) to find how much is the loss. Then, you subtract the loss from the base price to find the new price.
Answer:
Loss =175, sold = 3325
Step-by-step explanation:
He bough at 3500
So 100 percent is 3500
And they said he had a 5% loss
So in other words, he sold it to Alex at 95% of the price he bought
So
3500 x 95%
3500 x 95/100
=3325
This is the price when Hitler sold it to alex
Now how much did Hitler lose?
3500 - 3325
=175
Simplify the ratio
40 : 28
Please show work! If your able too :)
Answer:
10:7
Step-by-step explanation:
ratios are simply just like fractions!
this ratio (40:28) can be re-written as 40/28
now, you can simplify this to its lowest terms
40/28=20/14=10/7
first in those steps i re wrote the question, then divided by two, then divided by two again !
so, 40:28=10:7
--------------------------------
you can even check this by cross multiplying, since ratios are fractions
[tex]\frac{40}{28} =\frac{10}{7}[/tex]
40x7=28x10
280=280
they are equivalent which means our ratio is correct :)
hope this helped <333
13/17 as a decimal and a percent
Answer:
53.8462%
1.857
Step-by-step explanation:
A store has a sale with 30% off every item. When you enter the store, you receive a coupon that states that you receive an additional 30% off. Is this equal to a
60% discount? Explain your answer.
Answer:
No, It is not equal to a 60% discount.
Step-by-step explanation:
Think of this. I go into a store and everything is 50% off and I have a coupon myself that is a 50% off discount for a specific item. It may seem like the item is now free, but it isn't. Imagine the item was $1 before any discount. Then the store took 50% off of the $1, leaving it at $0.50. So now with my discount of 50% off the item I will be taking this 50% off of $0.50 = my final discounted cost of $0.25.
Hope I helped you understand :)
Pls he’ll I’ll brainlist you
Answer:
3.18, 3.21, 3.23
Step-by-step explanation:
You just nee to find some decimals that round up to 3.2
Answer:
3.20, 3.1745, 3.23543
Step-by-step explanation:
The tenth will be rounded up if the hundredth is 5 or greater.
witch expressions are equivalent to k/2?
2 answers
k - 2
2/k
1/2k
k divided by 2
k+k
Answer:
C and D
Step-by-step explanation:
[tex] \frac{k}{2} = \frac{1}{2} k = k \div 2[/tex]
Answer:
c and d
Step-by-step explanation:
yes thats the answer
Find X. I need help ASAP pls
Answer:
Step-by-step explanation:
Determine the number of squares in the following shapes:
Step-by-step explanation:
5,10,15,20,...
Pattern description:
T1= 5
d=10-5=5
Tn = T1+(n-1)d
Tn = 5 + (n-1)(5)
= 5+5n-5
= 5n
so, Tn = 5n
Next 2 terms : 25, 30
295.6 divided by 10 with the power of 2
Answer:
2.956
Step-by-step explanation:
[tex]\frac{295.6}{10^2}[/tex]
= [tex]\frac{295.6}{100}[/tex]
= 2.956
Answer:
873.7936
Step-by-step explanation:
295.6 divided by 10 is
29.56.
This can be easily done by moving the decimal up one place to the left. For 29.56 to the power of 2 is really just 29.56 * 29.56
29.56 * 29.56 is
873.7936.
Hope this helps!
Help me help me please
Answer:
The similar triangles are XYZ and MNP. Therefore, the answer is B.
Answer the following question in brief
Answer:
14810 votes
Step-by-step explanation:
The canidate won, so that means that they were the 7 instead of the 5.
Then you divide 20734 by 7, to see how many votes were for each "1". That's 2962.
Now you know that every "1" is worth 2962. Since the other candidate got 5, you multiply 5 by 2962 which is 14810.
The other candidate got 14810 votes.
Hope that made sense
Answer:
The other opponent that lost got 14 810 votes.
Step-by-step explanation:
Hopefully the picture is clear and understandable
:)
The ascending arrangement of 2/3 , 6/7 , 13/21 is
Answer:
[tex] \frac{13}{21} , \: \frac{2}{3} , \: \frac{6}{7} [/tex]
solve this problem
may be easy or nt
Answer:
Mark me as brainliest ❤️
Someone please help me!!
Answer:
Choice D. -1, 0, -5
Step-by-step explanation:
Write the equation of the line in slope intercept form that passes through the point (6,-2) and is parallel to the line y = -3x + 5.
Answer:
For a line to be parallel it must have the same slope. So the slope of the new equation is 6.
The slope intercept form is y=mx+b. And we have a point (3,-5). Plug in what we know....
-5=6(3)+b
Solve for b (the y-intercept)
b= -23
Therefore.... y=6x-23
??? does that help????
if Y varies directly with X, and Y = -5 and X = 7, what is X when Y = -85?
Answer:
X = 119
Step-by-step explanation:
Step 1: Given
Y = -5 X = 7
Y = -85 X = n
Step 2:
-85 ÷ -5 = 17
Step 3:
17 × 7 = 119
Answer:
Y = -5 X = 7
Y = -85 X = 119
n = 119
• Persevere in Problem Solving the difference between the solutions to the equation x = a is 30. What is a? Show that your answer is correct.
Answer: a=225
Step-by-step explanation:
[tex]a > 0\\\\x^2=a\\\\x^2-a=0\\\\(x-\sqrt{a} )(x+\sqrt{a}) =0\\\\\sqrt{a} -(-\sqrt{a} )=30\\\\2\sqrt{a} =30\\\\\sqrt{a} 15\\\\a=15^2\\\\a=225\\\\Proof:\\\sqrt{225} -(-\sqrt{225} )=2*\sqrt{225} =2*15=30\\\\[/tex]
I kind of understand this question, but I'm not sure how to answer it directly, can someone help please.
What is 15 percent of 1135? Also Explain how you came up with your solution and the actions you took.
Answer: 170.25
Step-by-step explanation:
Quick version
Step 1: Convert 15 percent to decimal
[tex]15\%\:=\frac{15}{100}\\\\= 15 \%[/tex]
Step 2: Multiply 0.15 to 1135
[tex]0.15\cdot \:1135\\\\=170.25[/tex]
170.25 is 15 percent of 1135.
Answer:
170.25 is the solution.
Step-by-step explanation:
Let's find 15% of 1135.
Value of the percentage is,
→ 15 ÷ 100
→ 0.15
Let's find the solution,
→ 1135 × 0.15
→ 170.25
Thus, the answer is 170.25.
I need help please!!
Answer:
(-2, 3)
Step-by-step explanation:
For x-4 you go left four places and y+6 go up 6 places
Answer:
(-2, 3)
Step-by-step explanation:
Point P has coordinates (2, -3).
The translation is (x - 4, y + 6) which means subtract 4 from the x-coordinate and add 6 to the y-coordinate.
The x-coordinate of point P is 2. Subtract 4 from it, you get -2.
The y-coordinate of point P is -3. Add 6 to it to get 3.
The coordinates of the translated point are (-2, 3).
The product of 3 numbers is 1197. If two of the numbers are 3 and 19, find the 3rd number
Answer:
21
Step-by-step explanation:
product of 3 number= 1197
1st number= 3
2nd number= 19
3rd number= let,X
Now,
3*19*X= 1197
or, 57*X= 1197
or, X= 1197/57
X= 21
f(x) = -2x + 4
g(x) = 2x^2 – 2x - 8
Find: (gof)(x)
Answer:
Step-by-step explanation:
[tex]f(x)=-2x+4\\g(x)=2x^2-2x-8\\(g\circ f)(x)=g(f(x))\\=g(-2x+4)\\=2(-2x+4)^2-2(-2x+4)-8\\=2(4x^2-16x+16)+4x-8-8\\=8x^2+(-32x+4x)+(32-8-8)\\=8x^2-28x+16[/tex]
(8.45* 10^6) – 1,200,000
please try to hurry!!!!!
Answer:
Ello mate, the answer to your problem is 7,250,000.
Step-by-step explanation:
Need help ASAP please
A radio disk jockey needs 3 songs that together play for 10 minutes. His first 2 choices are 3.2 minutes and 3.5 minutes. How long should the third selection be?
Subtract t the first 2 choices from the total time:
10 - 3.2 - 3.5 = 3.3
The 3rd selection needs to be 3.3 minutes long
Tell of the solution to the following equation. Explain your answer. 4(x + 3) - 4 = 8x + 10 - 4x
120
Jos
David has saved $9.59. His sister
has $3.24 less. How much does
she have?
Answer:
6.35
Step-by-step explanation:
9.59-3.24=6.35
RS has endpoint R(2,4) and S(-1,7).what are the coordinates of its midpoint M
Answer:
M={½,11/2}
Step-by-step explanation:
M={x1+x2/2,y1+y2/2}
M={2+-1/2,4+7/2}
M={½,11/2}
Can someone help me?
Answer:
30x-43+12x+13=180°(Linear pair)
42x-30=180°
42x=210
x=5°
