Answer:
A - 1:6
Step-by-step explanation:
Pls factorise x²-7x+12
Step-by-step explanation: The first thing you're going to probably
try to do here is to factor out a greatest common factor.
The problem is, there is no factor that is in common
to all three of these terms so you may think it's unfactorable.
However, this trinomial is in a special form.
We have an x squared term, an x term, and a constant term.
When a trinomial is in this form, it can be
factored as the product of two binomials.
So start by setting up two sets of parentheses.
Inside each set, we will have the two terms that compose each binomial.
So we have ( )( ).
The first term is a factor of the x² term, x · x.
For the second term, we need factors of 12 that add to -7.
Since the middle term is negative, we use the negative factors of 12.
Notice that -4 and -3 add to -7 and multiply to be 12.
So our answer is (x - 4)(x - 3).
The local high school sold 1914 tickets this year to its spring musical. That was 174 more tickets sold than last year. What is the percent increase in the number of tickets sold?
Answer:
.909 (ROUNDED)
Step-by-step explanation:
In order to do this all you need to do is divide the number with the number you got this year, 1914, and with the number last year.
1914-174=1740
1740 was the amount they got last year
Now you want to find the percent difference between the two.
1740/1914=.909090 (Repeats)
So the percent increase would be
.909090
.101010
Determine the value of X.
Answer:
25
Step-by-step explanation:
8x-20=180
8x=200
x=25
HELP ENDS IN 20 MINS!!!
Find the values of x, y, and z. The diagram is not to scale.
46°
1130
58°
vo
A. X = 63, y = 104, z = 76
B. X = 76, y = 63, z = 104
C. X = 63, y = 76, z = 104
D. X = 76, y = 104, z = 63
Answer:
B. X = 76, y = 63, z = 104
Step-by-step explanation:
46+58+x=180
104+x=180
x=180-104
x=76
What is the distance between point (3,2) and line y=1/4x-9
Answer:
9.94
Step-by-step explanation:
y = [tex]\frac{1}{4}[/tex] x - 9
y - 2 = - 4(x - 3)
y = - 4x + 14
- 4x + 14 = [tex]\frac{1}{4}[/tex] x - 9
16x - 56 = - x + 36
17x = 92
x = [tex]\frac{92}{17}[/tex]
y = (-4) [tex]\frac{92}{17}[/tex] + 14 = - [tex]\frac{368}{17}[/tex] + [tex]\frac{238}{17}[/tex] = - [tex]\frac{130}{17}[/tex]
(3, 2) , ( [tex]\frac{92}{17}[/tex] , - [tex]\frac{130}{17}[/tex] )
d ≈ 9.94396
Solve the following equation by the quadratic formula. 9x 4 + 5x 2 - 4 = 0 {±2/3, ±1} {±2/3, ±i} {±4/9, ±1}
The solution of the equation by the quadratic formula are, {±2/3, ±i}
What is Quadratic equation?An algebraic equation with the second degree of the variable is called an Quadratic equation.
We have to given that;
The equation is,
⇒ 9x⁴ + 5x² - 4 = 0
Now, Put x² = y in above equation, we get;
⇒ 9y² + 5y - 4 = 0
Bu using quadratic formula as;
⇒ y = - 5 ± √5² - 4×9×- 4 / 2×9
⇒ y = - 5 ± √25 + 144 / 18
⇒ y = - 5 ± √169 / 18
⇒ y = - 5 ± 13 / 18
This gives two solution,
⇒ y = - 5 + 13 / 18
⇒ y = 8/18
⇒ y = 4/9
⇒ x² = 4/9
⇒ x = ±2/3
And, y = - 5 - 13 / 18
⇒ y = - 18 / 18
⇒ y = - 1
⇒ x² = - 1
⇒ x = ±i
Thus, The solution of the equation are {±2/3, ±i}.
Learn more about the quadratic equation visit:
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A flagpole 12 meters tall casts a 24-meter shadow. Nearby, luke stands and is 4 meters tall. Determine the length of luka’s shadow. include all labels.
Answer:
8 meters
Step-by-step explanation:
This means that the shadows at this time is twice as tall as normal.
4*2=8
Luka's shadow is 8 meters tall.
Mrs. Reyes asked 3 girls and 4 boys to help with a project. She had each student make 8 paper airplanes. Drag steps to show how to find the total number of airplanes.
Answer:
56
Step-by-step explanation:
Given that:
Number of girls = 3
Number of boys = 4
Each student makes 8 paper airplanes.
To find:
The total number of airplanes = ?
Solution:
There can be two ways to find the total number of airplanes.
Method 1:
Keep on adding the number of airplanes for each student.
There are a total of 3+4 = 7 number of students.
First student makes = 8 airplanes
Second student makes = 8 airplanes
Third student makes = 8 airplanes
Fourth student makes = 8 airplanes
Fifth student makes = 8 airplanes
Sixth student makes = 8 airplanes
Seventh student makes = 8 airplanes
Total number of airplanes = 8 + 8 + 8 + 8 + 8 + 8 + 8 = 56
Method 2:
Simply multiply number of airplanes each student makes with the number of students.
i.e. 8 [tex]\times[/tex] 7 = 56
Pamela bought an electric drill at 85% off the regular price. she would have paid 132.89 for thr drill normally. what was the price she paid for the drill?
Answer:
19.93
Step-by-step explanation:
If you do 132.89 x 85% you would get 112.9565. You would round the first five up to a six and then subtract that by the original price. 132.89-112.96. Giving you the answer of 19.93.
What is 10 times as much as 0.06.
Answer:
6
Step-by-step explanation:
move the six 2 digits to the left
1c) What is 25% of 40?
8.5
25% of 40
=25/100×40
=0.25×40
=10 answer.
Simplify the expression:
7p+6q-2p+q
Answer:
5p+7q
Step-by-step explanation:
Answer:
5p+7q
Step-by-step explanation:
You add common terms together.
(7p-2p)+(6q+q)
5p+7q
Hope I helped!
Find the missing factor D that makes the equality true.
– 15y4 = (D)(3y?)
Answer:
[tex]-15y^{4} = D(3y^{2})\\-15y^{4}/3y^{2} = -5y^{2} \\D = -5y^{2}[/tex]
Step-by-step explanation:
please help asap
is x= -3 what is the value of |x-4|-x^2
thank you
Answer:
16
check your math
|(-3)-4|=7
-3^2=-9
7-(-9)=16
welcome <3
I need help :( this is like super hard I dont know what the anser is
Answer:
c
Step-by-step explanation:
16 divided by 4 equals 4
Answer:
B. 1/4
Step-by-step explanation:
4 divided by 16 is 0.25 which is 1/4
Which statement is true about f(x) = -2/3|x+4|-6?
O The graph of f(x) has a vertex of (-4, 6).
O The graph of f(x) is a horizontal stretch of the graph of the parent function.
O The graph of f(x) opens upward.
O The graph of f(x) has a domain of x 5-6.
b. the graph of f(x) is a horizontal stretch of the graph of the parent function.
The True statement is
The graph of f(x) is a horizontal stretch of the graph of the parent function.
What is Function?In mathematics, a function is an expression, rule, or law that establishes a relationship between an independent variable and a dependant one (the dependent variable).
We have,
f(x) = -2/3 |x+4| - 6
So, -2/3 |x+4| - 6 = 0
-2/3 |x+4| = 6
|x+4| = -9
so, the vertex is not (-4, 6).
Here the -6 in the function shows the horizontal stretch.
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Use the remainder theorem to determine the remainder. Then use the remainder to determine if the binomial is the factor of a polynomial. f(x) = x^3 + x^2 - 66x + 54 is divided by x + 9.
a. Remainder: 0; not a factor
b. Remainder: 0; yes a factor
c. Remainder: 270; not a factor
d. Reaminder:270; yes a factor
Answer:
b
Step-by-step explanation:
f(x) = x³ + x² - 66x + 54
= (x² - 8x + 6)(x + 9) + 0
=> the answer is b
Answer:
b
Step-by-step explanation:
If (x + h) is a divisor of f(x) then f(- h) = remainder
If f(- h) = 0 then (x + h) is a factor of f(x)
Here divisor is (x + 9) , then
f(- 9) = (- 9)³ + (- 9)² - 66(- 9) + 54
= - 729 + 81 + 594 + 54
= 0
Thus remainder is 0 and (x + 9) is a factor of f(x)
Eric plots points showing equivalent ratios on the coordinate plane below.
What is true about the relationship between the four points?
The points form a curve.
The points form a straight line.
The points are randomly scattered.
The points do not show any relationship.
Answer: The points form a straight line.
Step-by-step explanation:
In the isosceles trapezoid LMNO, find the value of x.
5
9
15
45
Answer:
15 would be the correct answrr
Mrs. Adams paid $33.60 for 3.2 pounds of Hawaiian coffee beans. What is the price per pound of the coffee beans?
Answer:
$10.5
Step-by-step explanation:
33.6/3.2(that is unit price formula total by one) which is 10.5
Hope this helps plz mark brainliest :D
The veterinarlan told Sally that her cat needs to lose 5 pounds. A healthy weight loss for her cat would be about 1 pound every 2 weeks. To model this situation, she graphed the following line, where y represents the number of pounds left to lose and x represents time in weeks. The equation for this line is y= ___x +___. If she continues the line, she would see that it would take ___ weeks for her cat to lose 5 pounds
Answer:
it would take the adverage of 10 weeks for her to lose 5 pounds did that help?
Step-by-step explanation:
Please solve: (in a hurry)
will name the brainliest!!!
include steps!
Answer:
Step-by-step explanation:
Which expressions are equivalent to 12r-5?
A. 6(2r+(-1))+1
B. -4(2+(-3r))+3
C. None of the above
Answer:
Step-by-step explanation: 12r-6+1= 12r-5
-8+12r+3= 12r-5
A and B
PLEASE HELP ME ANSWER NOW!!!! 15 POINTS
Answer:
x = 4
Step-by-step explanation:
6x + 4 = 12x - 20
x = 4
Can anyone help?
The question says to expand and simplify it but i dont know how.
Answer:
3x+14
Step-by-step explanation:
remove parenthses
6x+8-3x+6
3x+14
Answer:
3x+14
Step-by-step explanation:
2(3x+4)-3(x-2)
6x+8-3x+6
3x+14
Write each number below in Scientific Notation.
1. 92, 000 = 9.2 x 104
2. 109,000 = 1.09 x 105
3. 4,673 = 4.673 x 103
4. 0.00087 = 8.7 x 10-4
5. 0.0235 = 2.35 x 10-2
Answer:
92,00=9.2*10^4
109,000=1.09*10^5
4,673=4.673*10^3
0.00087=8.7*10^-4
0.0235=2.35*10^-2
Step-by-step explanation:
3(2m-3)=5(m+1) What is the value of m
Answer:
14!
Step-by-step explanation:
3(2m-3)=5(m+1)
Step 1: 6m-9 = 5m + 5
Step 2 : Add 9 to -9 and 5
6m= 5m+14
Step 3: Subtract 5m from 6 and 14
Simplify!
m=14
Jillian has a coin purse filled with quarters and dimes. She has a total of 21 coins.
All of the coins together have a value of $3.45. How many dimes does Jillian have?
o 7 dimes
o 9 dimes
o 12 dimes
o 14 dimes
SUBMIT RESPONSE
Answer:
12 dimes
Step-by-step explanation:
1 dollar= 4 quarters
1 dime=10 cents
3.45-1.20=2.25
2 dollars= 8 quarters
2.25-2.20=.25
1 quarter=.25
SOOOO your answer is 12 dimes
game of bingo with 33 outcomes is created to allow 6 people to win the game for every 27 people who do not win. which ratio in the form of people who win to people who do not win? (Again....Please help with this ;-; )
Answer:
Winners:Losers
2:9
Step-by-step explanation:
Winners:Losers
6:27
[÷3]
2:9
Answer:
Ratio 2:9
Step-by-step explanation:
For every 27 winner there are 6 people who win
For every 6 people who win 27 people do not win
So the ratio is 6:27 This can be simplified by dividing by 3
Ratio 2:9
Evaluate the expression for x = 1.7. Enter your answer in the box.
x2 + 3x
Answer:
7.99
General Formulas and Concepts:
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition SubtractionStep-by-step explanation:
Step 1: Define
x² + 3x
x = 1.7
Step 2: Solve
Substitute: 1.7² + 3(1.7)Exponents: 2.89 + 3(1.7)Multiply: 2.89 + 5.1Add: 7.99