pls help u dont have to explain that much
Answer:
k = -7
Step-by-step explanation:
Given
x² - x - 42 = (x + k)(x + 6)
Required
Find k
x² - x - 42 = (x + k)(x + 6)
Expand the left hand side
x²-7x + 6x - 42 = (x + k)(x+ 6)
Factorize
x(x - 7) + 6(x- 7) = (x + k)(x+ 6)
Further factorize
(x - 7)(x + 6) = (x + k)(x + 6)
By comparison
x + k = x - 7
Subtract x from both sides
k = -7
maurice read 10 pages that is 50 percent of the paper lenght what i the paper lenght
Answer:
Would it not be 20?
Step-by-step explanation:
Answer:
The answer is 20
Step-by-step explanation:
If 10 pages is 50% of the paper length, to make it equal 100% you just multiply 10X2 or add 10+10 and that equals 20.
A rate in which the first quantity is compared to 1 unit of the second quantity
Answer:
it will compare unit to some quanlity to a different number of units of a different queality.
Step-by-step explanation:
a/b=c/d proportions are two fractions that are equal example: 1/2=2/4
f(x) is a function.
0
3
с а м а
7
12
f(x)Help
Answer:
It's a function
Step-by-step explanation:
Because non of the inputs have the same output
C - -1
D - 3/4
Can someone please help? I’ll give you brainliest.
Answer:
Step-by-step explanation:
The answer is (A)
Grinnell Glacier in Glacier National Park in the US covered about 142 acres in 2007 and was shrinking at a rate of about 4.4% per year.3 (a) Write a formula for the size, , of the Grinnell Glacier, in acres, as a function of years since 2007. (b) Use the model to predict the size of the glacier in the year 2020. (c) According to the model, how many acres of ice were lost from the glacier between 2007 and 2010
Answer:
Step-by-step explanation:
Glacier National park has the area in year 2007 = 142 acres
It's shrinking at a rate = 4.4% per year
a). Since, shrink in the size of the glacier is an exponential process,
Therefore, formula for the size of the glacier in 'n' years,
A = 142(1 - 0.044)ⁿ
A = 142(0.956)ⁿ
b). Difference between year 2007 and 2020 = 13 years
By substituting n = 13 years in the formula,
A = 142(0.956)¹³
= 79.11 acres
Therefore, size of the glacier in year 2020 = 79.11 acres
c). Difference between year 2007 and 2010 = 3 years
By substituting n = 3 years in the formula,
A = 142(0.956)³
A = 124.07 acres
Loss of the ice from the glacier = 142 - 124.07
= 17.93 acres
Therefore, loss of the ice from the glacier in 3 years = 17.93 acres
Hope this isn’t too difficult, my teacher said to show you're work... so I hope you don’t mind explaining how you found it.
Answer:
3/4 / 1/6
keep the first fraction the same
3/4
flip the second fraction
6/1
change the division to a multiplication it should then read
3/4 X 6/1
now multiply the fractions
3 X 6 = 18
4 X 1 = 4
18/4 this can then be turned into a mixed number.
there are four 4's in 18 with two left over. so it becomes
4 2/4 and simplified 4 1/2.
The diameter of the circle above is 20 cm. What is the circumference of the circle? (Use = 3.14.)
Step-by-step explanation:
diameter=20/2,radius=10
circumference of circle=2×pi×radius
circumference of circle=2×3.14×10
circumference of circle=62.8
Please help it's due by 11 59 i will make as brainliest, thanks, and 5.0 for those who give actual and proper answers
Orange colors - Why are the locations of the police station and fire department congruent?
blue colors - Why are the locations of the restaurant and bank congruent?
Answer:
Step-by-step explanation:
Congruent are angles that are in identical angles. For example the orange colors are congruent because both of the angles are across each other, and because of them being crossed they are both the same degrees making the congruent, same with the blue but instead of being across eachother they are in the angle to the left of the parallel lines that are the same degrees as well.
Sadie goes for an afternoon walk. The graph shows her distance from home over time
Answer: The max distance is 4 miles but If you add it all together it's 8 miles in 60 mins (1 hour)
Step-by-step explanation:
Distance time graph shows that how the distance of the object changes with time. The average speed of Sadie is 8 miles per hour.
To solve this problem, we need to know about the distance-time graph.
What is distance-time graph?Distance time graph shows that how the distance of the object changes with time.
Given information-
The graph given which shows the distance of Sadie from home over time as she goes for the afternoon walk.
The table attached below shows the distance of Sadie in each 15 minutes.
The total distance covered by the Sadie is,
[tex]=2+2+4\\=8[/tex]
Thus the distance covered by the Sadie is 8 miles.
The total time taken by Sadie to cover 8 miles distance is 60 minutes or 1 hour.
As it is not clear that what has to be find out in the given problem. Let assume that the average speed of Sadie has to be find out.
Thus the average speed is the ratio of total distance traveled to the total time taken. Thus,
[tex]v=\dfrac{8}{1} \\v=8[/tex]
Thus the average speed of Sadie is 8 miles per hour.
Learn more about the distance-time graph here;
https://brainly.com/question/19730285
The square ABCD has side length 20 cm,
E is the midpoint of BC,
20 cm
20 cm
Work out the length of AE,
Give your answer correct to one decimal place.
Answer:
AE=22.4
Step-by-step explanation:
BE is 1/2 of BC
BC is 20 cm All sides of a square are equal
BE = 1/2 BC Property of a midpoint.
BE = 10
Now just use Pythagorus
AB^2 + BE^2 = AE^2
AE^2 = 20^2 + 10^2 Perform the sqrs
AE^2 = 400 + 100 Add the terms
AE^2 = 500 Take the square root of both sides
√AE^2 = √500
AE = 22.36
AE ≈ 22.4
Which three types of transformations result in congruent shapes? Question 8 options: A) Reflection, rotation, translation B) Reflection, translation, dilation C) Reflection, dilation, rotation D) Rotation, dilation, translation
Answer: A
Step-by-step explanation:
Answer:
A. Reflection, rotation, translation
Step-by-step explanation:
Rotations, reflections, and translations are isometric. That means that these transformations do not change the size of the figure. If the size and shape of the figure is not changed, then the figures are congruent. Explore and discuss the examples of transformations below with your child. Examples of Transformations.Casandra earned 520$ this month by walking her neighbors dog . This is a 30% increase from amount she earned last month
Answer: last week she earned $364.
Step-by-step explanation:
Rana and Josie are cooking food for a party they need to cut up the food so people can share your she makes two small pepperoni pizzas there are four people who was share the pizza how much will each person get
Answer:
sdfshefvhwedsbdhcfbHISE
Step-by-step explanation:
FSDSd
What is the value of q?
Pls help fast
Answer:
C
Step-by-step explanation:
witch equation represents a linear function
answer:A XHBBUFXZHBFIHIFCXIJFIJVFIIJIJVFIJIJF
i need help plz
State the coordinates of the point.
Answer:
(-5,8)
Step-by-step explanation:
Hope this helps ;)
The diagram shows a right-angled triangle,
Calculate the value of x.
Answer:
x = 12
Step-by-step explanation:
[tex]90 + 3x + 16 + 2x + 14 = 180 [/tex]
[tex]5x + 120 = 180[/tex]
[tex]5x = 180 - 120[/tex]
[tex]5x = 60[/tex]
[tex]x = \frac{60}{5} = 12[/tex]
Answer:
x = 12°
Step-by-step explanation:
[tex](3x + 16) + 90 + (2x + 14) = 180 \\ 3x + 2x = 180 - 16 - 90 - 14 \\ 5x = 60 \\ x = \frac{60}{5} \\ x = 12[/tex]
Hilary sells makeup, primarily lipsticks and eye shadows. She sells the lipsticks for $10 and the eye shadows for $5. At a home show, she wants to sell at least $120 of these two products, knowing she has at most 20 items in her inventory that are either lipsticks or eye shadows.
She makes $7 on every lipstick and $3 on every eye shadow she sells. Use the information below:
Let x = lipsticks
Let y = eye shadows
Then $10x + $5y > $120
and x + y < 20.
The graph of these functions is shown to the right. It is impossible to sell a negative number of makeup items, so x and y both have to be greater than zero. Therefore, the functions are confined to the first quadrant.
Profit function:
P = $7x + $3y
How many lipsticks and eye shadows should be sold to maximize the total profit?
A.
The profit is maximized when 20 lipsticks and 0 eye shadows are sold.
B.
The profit is maximized when 12 lipsticks and 0 eye shadows are sold.
C.
The profit is maximized when 16 lipsticks and 4 eye shadows are sold.
D.
The profit is maximized when 4 lipsticks and 16 eye shadows are sold.
Given the function g(x)=41x^3+a for some constant a, which describes the inverse function g^-1(x)
Answer:
[tex]g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}[/tex]
Step-by-step explanation:
The inverse of a function has [tex]x[/tex] and [tex]y[/tex] values switched from the original function. Therefore, simply switch [tex]x[/tex] and [tex]y[/tex] and isolate [tex]y[/tex] to get your inverse function:
Original function: [tex]g(x)=41x^3+a[/tex]
Switching [tex]x[/tex] and [tex]y[/tex], then isolating [tex]y[/tex]:
[tex]x=41y^3+a,\\x-a=41y^3,\\\frac{x-a}{41}=y^3,\\y=\sqrt[3]{\frac{x-a}{41}}[/tex].
Therefore, the inverse of the [tex]g(x)=41x^3+a[/tex] is:
[tex]\fbox{$g^{-1}(x)=\sqrt[3]{\frac{x-a}{41}}$}[/tex].
6 batteries cost 29 dollars what is the unit rate?
Answer:
Step-by-step explanation:
In a unit rate, the denominator is always 1. So, to find unit rate, divide the denominator with the numerator in a way that the denominator becomes 1. For example, if 50km is covered in 5.5 hours, the unit rate will be 50km/5.5 hours = 9.09 km/hour
Answer:
[tex]\large \boxed{\sf{4.83 \ dollars/battery}}[/tex]
Step-by-step explanation:
Unit rate is a ratio that compares two measurements.
Denominator is 1
[tex]\displaystyle \sf \frac{29\ dollars}{6\ batteries}=4.83\ dollars/battery[/tex]
-44 x -44 × -44 × -44 =
Answer:
3748096
Step-by-step explanation:
Find the missing angle.
Answer:
[tex]m\angle XYV=135^{\circ}[/tex]
Step-by-step explanation:
Notice that [tex]m\angle XYV=m\angle XYW+m\angle VYW[/tex].
The diagram already marks [tex]m\angle VYW=80^{\circ}[/tex], so we just need to find [tex]m\angle XYW[/tex].
[tex]\angle TYU[/tex] and [tex]\angle XYW[/tex] are vertical angles, which means they are equal in measure.
Therefore,
[tex]m\angle TYU=m\angle XYW=6x+7[/tex]
Since there are [tex]180^{\circ}[/tex] on each side of a line, we have the following equation:
[tex]m\angle XYW+m\angle VYW+m\angle UYV=180^{\circ},\\6x+7+13+4x+80=180,\\10x+20=100,\\10x=80,\\x=8[/tex].
Plugging in [tex]x=8[/tex], we have:
[tex]m\angle XYW=6(8)+7=55^{\circ}[/tex].
Therefore,
[tex]m\angle XYV=55^{\circ}+80^{\circ},\\m\angle XYV=\fbox{$135^{\circ}$}[/tex].
Consider the graph shown.
Complete the sentence based on the graph.
The value of f(x) is -2 at x =
and the value of f (-2) =
Answer:
The value of f(x) is -2 at x = 0, and the value of f(-2) = -5.
Step-by-step explanation:
✔️The value of f(x) is -2 also means y = -2.
So, looking at the graph, the corresponding value of x when y = -2 is x = 0.
✔️The value of f(-2) is the same thing as asking what the corresponding y-value of x would be at x = -2.
From the graph, at x = -2, the corresponding y-value is -5.
The artist realizes she has 49 ounces left . How many ounces of blue does she need to add
2 ounces of blue paint to every 7 ounces of yellow
Answer:
hwope this helps ＼(=^‥^)/’`
Step-by-step explanation:
1) Which of these are equivalent to - ? Choose ALL that apply.
PLEASE ANSWER ASAP !!!!
*ANSWERS ON PIC*
Write an equivalent expression in standa
form and collect like terms.
2x - (x + 8) - 4
can anyone help me pls
Answer:
405 calories
Step-by-step explanation:
All we have to do is:
9 × 45
I hope this helps!
Solve: 33 + 27 ÷ 9 + (30 ÷ 5)
Answer:
42
Step-by-step explanation:
You need to follow P--E--M--D--A--S
A X U I A U
R P L V D B
E O T I D T
N N I T I R
T E P I T A
H N L O I C
E T I N O T
S S C N I
I A O
S T N
I
O
N