Answers
Answer:
(x + 6)
(x - 7)
Step-by-step explanation:
To factor the polynomial in form [tex]x^{2} +bx+c[/tex] find two factors of C that have a sum of B
B = -1
C = -42
Factors of 42:
1, 2, 3, 6, 7, 14, 21, 42
6 and -7 multiply to -42 and add to -1
Write in factored form:
(x + 6)(x - 7)
Answer:
(x - 7)(x + 6)
Step-by-step explanation:
Given
x² - x - 42
Consider the factors of the constant term (- 42) which sum to give the coefficient of the x- term (- 1)
The factors are - 7 and + 6 , since
- 7 × 6 = - 42 and - 7 + 6 = - 1 , thus
x² - x - 42 = (x - 7)(x + 6)
Related Questions
A small business has 15 full-time employees. How many people does the small business employ if the full-time workers make up 30% of the employees the company has?
Answers
Answer:
50 employees
Step-by-step explanation:
The total number of employees the business has will have to be made up the full-time employees and part-time employees.
The number of full-time employees = 15
Let the total number of employees = x
[tex]15 = 30 percent of x[/tex]
[tex]15 = 30/100 \times x\\x=1500/30 = 50[/tex]
The company has a total of 50 employees
if one person has 3/4 0f your laundry what does kyle have?
Answers
Answer:
kyle has got 1/4 of your laundry xD
Step-by-step explanation:
laundry=1
3/4=1 person
1-3/4=1/4
so 1/4=kyle
Answer:
Kyle has 1/4 of the laundry.
Step-by-step explanation:
If one person has 3/4 that means there is 1/4 left.
So, Kyle has 1/4 left to do.
Ella swims four times a week at her club's pool. She swims the same number of laps on Monday, Wednesday, and Friday, and 15 laps on Saturday. She swims a total of 51 laps each week. Write an equation for the problem.
Answers
Answer:
Equation for the problem
3x + 15 = 51 laps
Hence
She swims on
Monday: 12 laps
Wednesday : 12 laps
Friday = 12 laps
Step-by-step explanation:
Ella swims four times a week at her club's pool.
We are told that:
She swims the same number of laps on Monday, Wednesday, and Friday.
Hence, the number rod times that she swims on Monday, Wednesday and Friday is represented by x
Also, she swims 15 laps on Saturday. She swims a total of 51 laps each week. Equation for the problem
= x + x + x + 15 = 51 laps
3x + 15 = 51 laps
Hence
3x = 51 - 15
3x = 36
x = 36/3
x = 12 laps
Therefore, She swims on:
Monday: 12 laps
Wednesday : 12 laps
Friday = 12 laps
Write an equation of the line containing the given point and parallel to the given line.
(6,-2); 4x - 3y = 8
Answers
Answer:
y = (4/3)x − 10
Step-by-step explanation:
Rewrite in slope-intercept form.
The slope-intercept form is y = mx + b, where m is the slope and b is they-intercept.
y = mx + b
Subtract 4x from both sides of the equation.
−3y = 8 − 4x
Divide each term by −3 and simplify.
Divide each term in −3y = 8 − 4x by −3.
(−3y/−3)= (8/−3) + (−4x/−3)
Cancel the common factor of −3.
y= (8/−3) + (−4x/−3)
Simplify (8/−3) + (−4x/−3)
y= (4x/3 - 8/3)
Reorder terms.
y= 4x/3 - 8/3
Using the slope-intercept form, the slope is 4/3
m = 4/3
To find an equation that is parallel, the slopes must be equal. Find the parallel line using the point-slope formula.
Use the slope 4/3 and a given point (6, −2) to substitute for [tex]x_{1}[/tex]and [tex]y_{1}[/tex]in the point-slope form. [tex]y[/tex] − [tex]y_{1}[/tex] = [tex]m[/tex] ([tex]x[/tex] − [tex]x_{1}[/tex]) which is derived from the slope equation[tex]m=[/tex] ([tex]y_{2}[/tex]− [tex]y_{1}[/tex])/([tex]x_{2}[/tex] - [tex]x_{1}[/tex])
y − (−2) = (4/3) ⋅ (x − (6))
Simplify the equation and keep it in point-slope form.
y − (−2) = (4/3) ⋅ (x − (6))
solve for y
y = (4/3)x − 10
How much are these coins worth???
Answers
Answer
3.26$
Step-by-step explanation:
Meg is a veterinarian. She found that 25% of the 24 dogs she saw this week were boxers. Steve is also a veterinarian. He found that 8, or 50%, of the dogs he saw this week were boxers. Does each person need to find the part, the whole, or the percent?
Answers
Answer:
Percent
Step-by-step explanation:
lol I just got it right
Judy is baking 5 cheesecakes. A recipe for one of the cheesecakes requires 1 1 2teaspoons of vanilla. Judy's bottle of vanilla contains 12 teaspoons of vanilla. After Judy bakes the 5 cheesecakes, how many teaspoons of vanilla will be left in the bottle?
Answers
Answer:4 1/2 Teaspoons of vanilla will be left in the bottle
Step-by-step explanation:
Step 1
Recipe for 1 cheesecake = 1 1/2 teaspoons of vanilla
Since she s making 5 cheesecakes, she will requite = 5 x 1 1/2 teaspoons
= 5 x 3/2= 15/2 = 7 1/2 teaspoons of vanilla.
Step 2
If a bottle of vanilla contains = 12 teaspoons of vanilla
After baking 5 cheesecakes which consumed = 7 1/2 teaspoons of vanilla
Teaspoons left of vanilla = Total teaspoons of vanilla-teaspoons of vanilla used for 5 cheesecakes= 12 - 7 1/2 =4 1/2
Therefore 4 1/2 Teaspoons of vanilla will be left in the bottle
Please answer the following question below
Answers
Answer:
65°
Step-by-step explanation:
The tangent is perpendicular to the diameter BD therefore m‹CBR=90°-25°=65°
Jada traveled 135 miles in 3 hours. Andre traveled 228 miles in 6 hours. Both Jada and Andre traveled at a constant speed. who traveled faster? explain or show your reasoning
Answers
Answer:
Jada
Step-by-step explanation:
Jada traveled faster (45mph) and Andre traveled a longer distance (228 miles) but went 38mph, concluding that Jada traveled faster.
45x3=135 (Jada)
38x6=228 (Andre)
Daniel's store sold 75% fewer pairs of shorts this month than last month. If the store sold 5 pairs of shorts this month, then _________ pairs of shorts were sold last month.
Answers
Answer:
EXACT ANSWER: 6.666666666667
ANSWER ROUNDED: 7
Step-by-step explanation:
lol, I can't explain well, but it's correct.
-5x+3y>9 help me plesese so i can grids
Answers
Answer:[tex]x<−95+3y5[/tex]
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
Please help, needed fast
Answers
Answer:
46
Step-by-step explanation:
6*5
-2*-8
30+16=46
Answer:
It would be 46
Step-by-step explanation:
What is the domain of the square root function graphed below?
Answers
Answer:
X is greater than or equal to 3
Step-by-step explanation:
As you Can See the graph Starts at (3, 1) and the point is filled in which mean it includes 3 the graph continues going there for the domain= x-axis is greater than or equal to 3
Answer:
i think its A or B but im not really sure,most likely A =w=
Which set of values could be the side length of a 30-60-90 Triangle!
Answers
When you have a 30-60-90 triangle, your sides will always have a set pattern.
The side across from the 30 angle will be equal to n (in this case n = 4).
The side across from the 60 angle will always be equal to n√(3) (in this case, 4√(3)).
The side across from the 90 angle will always be 2n (in this case, 8).
You could go into trig or pythagorean theorem to prove this, but it's much simpler to remember it because it's a special triangle.
I need help on this
Answers
HELP ASAP PLZ What value of d makes the equation (3d – 2) = }(d + 5) true?
Answers
1 Remove parentheses.
3d-2=d+5
2 Add 22 to both sides.
3d=d+5+2
3 Simplify d+5+2 to d+7.
3d=d+7
4 Subtract d from both sides.
3d-d=7
5 Simplify 3d-d to 2d.
2d=7
6 Divide both sides by 2.
7/2=d
7 Flip sides.
d=7/2
(Optional decimal form)
d=3.5
So 7/2 or 3.5
What is the value of this expression? 1.25 + 8.25 × 4 ÷ (4.75 + 0.75) Group of answer choices 6.91 7.25 8.75 8.95
Answers
Answer:
b
Step-by-step explanation:
Answer:
the answer is 7.25
Step-by-step explanation:
Hope this helps :)
find the surface area of this cylinder using pie.
Answers
*
Simplify the expression:
(-6p+7). -4
Answers
Answer:
I'm assuming you need to distribute. When simplified the expression is 42p-28
Step-by-step explanation:
Answer:
24p-28
Step-by-step explanation:
i need the slope intercept for this equation
Answers
Answer:
y = -2/3x + 8
Step-by-step explanation:
HELP! Is (0,-5) a solution to 3x - 2y < 10 ?
Answers
Answer:
false
Step-by-step explanation:
3(0) - 2(-5) = 10
the < says it cannot be equal
Kyle bought four boxes of cereal for $8.60. How much would 10 boxes of cereal cost
Answers
Answer:
$20.75
Step-by-step explanation:
The answer is $21.50
Explain:
$8.60 / 4 = $2.15
$2.15 x 10 = $21.50
Could I have brainliest?
I need help ASAP with questions 3-7 plz show steps I will also mark brainliest
Answers
Answer:
.
Step-by-step explanation:
.
3x + 5x - 1 expression
Answers
Answer:
8x - 1
Step-by-step explanation:
Combine like terms. 3x and 5x are like terms.
3x + 5x -1 = 8x - 1
If f(x)=2x+1, then f(3)= ?
(2 to the power of x)
(not 2 times x)
Please show work :)
Answers
Answer:
9
Step-by-step explanation:
Input 3 for x
f(x)=2^3+1
f(3)=2^3+1
f(3)=8+1
f(3)=9
In the figure below, determine the perimeter of triangle EFG
Answers
Answer:
82 units
Step-by-step explanation:
From the image, we can see that the 2 triangles are similar triangles.
Thus:
BC = EF
BD = EG
CD = FG
Now, BD = 4x - 9 and EG = 2x + 15
Thus;
4x - 9 = 2x + 15
4x - 2x = 15 + 9
2x = 24
x = 24/2
x = 12
Thus, in triangle EFG where EG = 2x + 15, then EG = 2(12) + 15 = 39
Also, EF = BC = 17
FG = 26
Thus, perimeter of triangle EFG is;
P = 26 + 17 + 39
P = 82 units
What is the y-intercept when a line has a slope of 1/2 and passes
through the point (2, -1)?
Answers
Answer:
2
Step-by-step explanation:
You called this question to the right person. To find the y-intercept, you must do the formula of Point Slope (y-y1 = m (x-x1)) Since 2, is x1 and the -1 is y1, we must lay the equation out like this: y - -1 = m (x-2). Next, we must distribute the slope to the x and the 2, which would allow the x, to fit in with the slope, and the 2 to become 1 since 1/2 x 2 is 1. Now what we need to do is get rid of the -1, so what we do here is add 1. And algebra golden rule, whatever you do to one side, you must do to the other side. This would leave y = 1/2x + 2 And therefore 2 is your y-intercept, since it's at the last part of the equation.
6. (03.02) Factor completely 3x4 + 4x3 + 6x + 8. (1 point)
Answers
Answer:
(3x+4)(x³+2)
Step-by-step explanation:
Follow me Please
Answer:
Hope it can help you and mark me as brainlist.
whats 3(x + 2) = 21?
show work please !!
Answers
Answer:
x=5
Step-by-step explanation:
[tex]3(x+2)=21[/tex]
[tex]3x+6=21[/tex]
[tex]3x+6-6=21-6\\\\3x=15\\\\\frac{3x}{3} = \frac{15}{3} \\\\x=5[/tex]
Answer:
x = 5
Step-by-step explanation:
You first have to multiply 3 by x and 2, and you would get 3x and 6. 3(x + 2)=3x +6
Then you have to move the 6 to the other side and it will become negative. 3x= -6 +21
Then you subtract 21-6 to get 15. 3x = 15
Then you are left with 3x = 15.
Divide 3 from both sides and you get x =5.
The earth spins 360 degrees about its axis in 24h. How many degrees does it spin in 10h?
if I get another unreasonable answer OHFUSHASHDF
Answers
Answer:
150
Step-by-step explanation:
To find out how much it spins in one hour do 360 divided by 24= 15, and you need to find how much it spins in 10 hours so do 15 x 10=150
Answer:
150 degrees.
Step-by-step explanation: Just divide 360 by 24 then times by 10.