Answers
Answer:
x-intercept = 2
Step-by-step explanation:
Sum = 3
Product = -10
Factors = 5 , (-2) {5*(-2) = -10 & 5 +(-2) = 3)
Rewrite the middle term using the factors: 3x = 5x - 2x
x² + 3x - 10 = x² + 5x - 2x - 10
=x(x + 5) - 2(x + 5)
= (x +5)(x - 2)
x² + 8x +15 = x² + 3x + 5x + 15
= x(x + 3) + 5(x + 3)
= (x + 3)(x + 5)
[tex]f(x) =\dfrac{x^{2}+3x -10}{x^{2}+8x + 15}\\\\=\dfrac{(x+5)(x -2)}{(x+5)(x+3)}\\\\=\dfrac{x-2}{x+3)}[/tex]
At x-intercept, y = o
[tex]\dfrac{x -2}{x + 3}=0\\[/tex]
x - 2 = 0
x = 2
Related Questions
Solve 2x - 4 > 10 and select all of the following answer choices that would make this inequality true. A)9 B) 5 C) 6 D)8
Answers
Answer:
x > 7
Step-by-step explanation:
Given the function f(x) = 6(x-4)2 + 3, which of the following statements is NOT TRUE?
a:the function shifts right 4 and up 3
b: the function is compressed by 6 and shifted right 4
c:the function is stretched by 6 and shifter left 4
d:the function is stretched by 6 and shifted up 3
Answers
b is false.
This function is vertically stretched by a factor of 6, not compressed.
A skyscraper is a rectangular prism with a height of 398 meters. The bases are squares with sides that are 62 meters. What is the surface area of the skyscraper?
Answers
Answer:
106,392 meters squared.
Step-by-step explanation:
Surface area of a rectangular prism or cuboid is given by:
SA = 2 (lw + wh + lh)
where:
· l is the length of the cuboid.
· w is the width of the cuboid.
· h is the length of the cuboid.
Here we have h = 398 m, l = w = 62 m because this is a square base.
So we get:
SA = 2 ( 398 · 62 + 62² + 398 · 62)
= 2 (24676 + 3844 + 24676)
= 2 · 53196
= 106392 m²
Expand the following
Answers
Answer:
A) 3x +15
B) 8x -2
C) 20x + 10
D) 4x - 8y
Step-by-step explanation:
A) 3x+3 x 5 = 3x + 15
B) 2 x 4x -2 = 8x -2
C) 5 x 4x +5 x 2 = 20x + 10
D) 4x -4 x 2y = 4x - 8y
(Hope this helps can I pls have brainlist (crown)☺️)
hi help pls will mark as brainlist!!!!!!!!!
Answers
Answer:
The answer would be B.) 30.
Step-by-step explanation:
If it took 15 workers 20 day, and you want to split it so it gets done in 10 days, you would want 15 more workers to get the job done quicker, doing this would have you a total of 30 workers.
Emma has just started a new sales job. She makes $20 an hour. On top of her hourly wages, she’ll be paid a commission of 15% on all sales she makes. Use this information to answer the following questions.
Part A
Question
Which equation in the form y = mx + cs models Emma’s situation?
y = 20x + 0.15
y = 20x + 15
y = 20x + 0.15s
y = 20x + 15s
Answers
Answer:
y = 20x + 0.15s
Step-by-step explanation:
Shew makes $20 par hour, so for x hours, she makes 20x.
She makes 15% commission on the sales, s. 15% = 0.15,so for the sales, s, she makes 15% * s = 0.15s.
The total she makes is 20x + 0.15s
Answer: y = 20x + 0.15s
The equation in the form y = mx + cs models Emma’s situation is
y = 20x + 0.15s
Shew makes $20 par hour, so for x hours, she makes 20x.
What is the slope-intercept form of the line?
The slope-intercept of the line y= mx+c
Where y co-ordinate
x- x co-ordinate
m=slope of the given line
C-y intercept.
She makes 15% commission on the sales, s. 15% = 0.15,
So for the sales, she makes
15% * s = 0.15s.
The total she makes is 20x + 0.15s
y = 20x + 0.15s
To learn more about the line visit:
https://brainly.com/question/7098341
b. Does a12 x a4 = a8 x a8 for all values of a? Explain.
Answers
Answer:
We can use the Laws of Exponent to rewrite both sides of the equation:
Let a¹² x a⁴ = a⁸ x a⁸
⇒ a¹²⁺⁴ = a⁸⁺⁸
a¹⁶ = a¹⁶ ✅
⇒ a¹² x a⁴ = a⁸ x a⁸ is true for all values of a.
Explanation:
The equation a¹² x a⁴ = a⁸ x a⁸ is true because, on both the RHS and LHS of the equation, both terms in 'a' have exponents that when added (Law of Multiplication of Exponents) are equal to each other, i.e. 12+4 = 8 + 8.
if 3^x = 1, find the value of x.
Answers
[tex]\\ \sf\longmapsto 3^x=1[/tex]
[tex]\\ \sf\longmapsto 3^x=3^0[/tex]
[tex]\\ \sf\longmapsto x=0[/tex]
Done
Answer:
0
Step-by-step explanation:
hope this helps darling
2.) Use rigid motions to explain whether the triangles in the graph are congruent.
What are the coordinate rules that were used to map one triangle to the next?
1st rule:
2nd rule:
Answers
Answer:
1st rule: Reflection over the X-axis, (x,y) -> (x , -y)
2nd rule: Horizontal translation to the RIGHT 6 units (x , -y) -> (x+6 , -y)
Step-by-step explanation:
1st rule: Reflection over the X-axis, (x,y) -> (x , -y)
2nd rule: Horizontal translation to the RIGHT 6 units (x , -y) -> (x+6 , -y)
MJS: (4,-4) (-2,-3) (-3,1) -> (-4,4) (-2,3) (-3,-1) -> (2,4) (4,3) (3,-1)
They are congruent!!
maths help me maths giving 10 point
Answers
Step-by-step explanation:
[tex]x-2>4[/tex]
[tex]x>6[/tex]
And
[tex]3x+1\leq 28[/tex]
[tex]3x\leq 27[/tex]
[tex]x\leq 9[/tex]
So [tex]x[/tex] ∈ [tex](6, 9][/tex]
Please give me a brainliest answer
2|x/2+3|=1, solve for x, there is two answers.
please help asap I will give brainiest
Answers
Answer: -5 and -7
Step-by-step explanation:
|[tex]\frac{x}{2}[/tex]+3| = [tex]\frac{1}{2}[/tex]
It has 2 cases
the first case ;
[tex]\frac{x}{2}[/tex] + 3 = [tex]\frac{1}{2}[/tex]
[tex]\frac{x}{2}[/tex] = [tex]\frac{-5}{2}[/tex]
x = -5
the second case;
[tex]\frac{x}{2}[/tex] + 3 = [tex]\frac{-1}{2}[/tex]
[tex]\frac{x}{2}[/tex] = [tex]\frac{-7}{2}[/tex]
x = -7
please give me a brainliest answer
lols ppz help1/2 (2 1/2×4 4/5-7 1/2)????,,,,,
Answers
Answer:
If you've written it correctly, the answer is 2.25.
Step-by-step explanation:
Can be written as:
0.5 * (2.5 * 4.8 - 7.5).
Perform the multiplications inside the brackets, first:
0.5 * ( 12 - 7.5)
Then perform the remaining arithmetic inside the brackets:
0.5 * ( 4.5)
Perform the last arithmetic:
2.25.
Again, that's if you've written it correctly, and when you say 4 4/5-7 1/2 this actually means four and four fifths (4.8) minus seven and a half (7.5).
Answer:
[tex] - 2 \times \frac{3}{80} [/tex]
Step-by-step explanation:
solve using BODMAS
-3x-2=
-3x-2=
-3x1.5=
-3x3=
Answers
Answer:
a,6. b, 6 c, -4.5. d, -9
Step-by-step explanation:
a, -3*-2
3*2. b/c of -ve * -ve is positive the answer comes 6
b, same as a
c, -3*1.5
- 4.5
d, -3*3
- 9
Question number 13, please help
Answers
Answer:
4)
That is the answer
what is the highest iq
Answers
Answer:
im pretty sure it was ainan celeste with their score of 263 IQ
Step-by-step explanation:
Answer:
Step-by-step explanation:
i think its 200
2.675 in expanded form
54.906 in expanded form
Plz answer stat!
Answers
54.906 = 50.000 + 4.000 + 0.900 + 0.006
Using the expression above, choose the correct answers for the new balance and the amount of interest earned in the following compound interest problem.
$850 at 8% for 8 years, compounded annually.
Total Amount = $
Interest Amount = $
Answers
Interest amount $723
On a scale drawing of a map, two houses are 4 inches apart. The actual distance that they are apart is 30 miles. What is the scale used to create the scale drawing of the map?
Answers
Answer:
The map scale is 1 : 475200
Step-by-step explanation:
find the product binomial expression of;
(x-5) (8-5)
Answers
Answer:
3x-15
Step-by-step explanation:
(x-5)(8-5)
(x-5)(3)
re-order
(x-5)×3
3(x-5)
Distribute
3(x-5)
3x-15
A = (b1 + b2) h / 2
I'm so confused, and i need to solve for h.
Answers
Answer:
Step-by-step explanation:
Begin by multiplying both sides by 2
2*A = 2*(b1 + b2) * h/2 Cancel the 2s
2A = (b1 + b2 ) * h Divide both sides by (b1 + b2)
2A/(b1 + b2) = (b1 + b2)*h / (b1+b2) Cancel B1 + b2
2A/(b1 + b2) = h
Jaoquin buys 3 dozen lightbulbs. After changing the lightbulbs in his house, he has 15 lightbulbs left. How many lightbulbs did he use?
Answers
Answer:
21
Step-by-step explanation:
1 dozen=12
3 dozen= 36
15-36=21
Calculate the surface area of the following objects.
Answers
Answer: 15150 [tex]cm^{2}[/tex]
Step-by-step explanation:
2(83 × 45) + 2(30 × 45) + 2(30 × 83)
2(3735) + 2(1350) + 2(2490)
7470 + 2700 + 4980
= 15150
please give me a brainliest answer
WILL MARK BRAINLIEST
Evaluate the answer in exponential form
Answers
Answer:
-2.0000 times -2.000 = 4
Step-by-step explanation:
HELP PLEASE 10 POINTS
Answers
Answer:no idea
Step-by-step explanation:
Cantaloupes are four for $9, how many can you buy for $25?
Answers
Explanation
25$/9$=2.8 but you can’t buy .78 of a cantaloupe
May I please receive help?
Answers
Answer:
m‹F=25°
AB=12
Step-by-step explanation:
HOPE IT HELPS
5x+6=61 Show Step By Step
Answers
5x= 55
X = 55/5
X = 11
Answer:
x=11
Step-by-step explanation:
5x+6=61
61-6=5x
55=5x
x=11
Lin rode her bike 1 mile in 4 minutes, 2 miles in 8 minutes. Every 1 minute she rode how many miles?
Answers
Answer: [tex]\frac{1}{4}[/tex]
Step-by-step explanation:
4 minutes in 1 mile
so 1 minute in [tex]\frac{1}{4}[/tex] mile
please give me a brainliest answer
what the frige please help
Answers
Answer:
Your answer is A, 3x - 2x.
Step-by-step explanation:
Triple a number means to multiply it by 3.
Double a number means to multiply it by 2.
Difference means to subtract.
Hope this helps!
Answer:cim not sure tho
Step-by-step explanation:
Rectangle PROM has a perimeter of 42 inches, and OR = 8 inches. What is the area of the rectangle PROM?
Answers
Answer:
104 in²
Step-by-step explanation:
If OR = 8 then 8 x 2 = 16
PM= (42-16)/2=13
Therefore area = 8 x 13 = 104 in²
To check the perimeter is right:
2(8+13) = 42