Step-by-step explanation:
75-7=68 +(12)+1 exponent 3 meaning one multiplying itself three times so
68+12+1×1×1
80+1×1
80+1
=81
Translate and simplify: the product of –12 and the difference of p and q.
Hey there!
“Product” is multiplication so let’s say it means “multiply” & “difference” is subtraction so let’s say it means “subtract”
p & q is/are the variables, whereas -12 is a coefficient
“The [PRODUCT of -12] and the [DIFFERENCE of p & q]”
Product = multiply/multiplication
“-12 ×”
DIFFERENCE
“p - q”
So, based on that information we have your answer: “-12 × p - q”
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
h(r) = r^2 + 11r - 26
1) What are the zeros of the function?
Write the smaller r first, and the larger r second.
smaller s =
larger r =
2) What is the vertex of the parabola?
The zeros of the function h(r) = r² + 11r - 26 are r = -13, r = 2 and the vertex is (-11/2, -225/4).
What are the zeros and vertex of the function?Given the function in the question:
h(r) = r² + 11r - 26
To find the zeros of the function h(r) = r² + 11r - 26, we need to solve the equation h(r) = 0.
Using factoring:
r² + 11r - 26 = 0
Find two numbers whose sum is 11 and whose product is -26.
The numbers are -2 and 13.
Factor the equation:
(r - 2)(r + 13) = 0
Hence:
r - 2 = 0 and r + 13 = 0
Therefore, smaller r = -13, larger r = 2.
Next, we determine the vertex of the function:
Using the formula for the x-coordinate of the vertex, which is given -b/2a.
Here, the coefficient of r² is 1 (a = 1),
The coefficient of r is 11 (b = 11).
Substituting these values into the formula, we get:
r = -b/2a
= -11/( 2×1 )
= -11/2
The x-coordinate of the vertex is -11/2.
To find the y-coordinate, we can substitute r = -11/2 value back into the function:
h(r) = r² + 11r - 26
h(-11/2) = (-11/2)² + 11(-11/2) - 26
= 121/4 - 121/2 - 26
= 121/4 - 242/4 - 104/4
= (121 - 242 - 104)/4
= -225/4
Therefore, the vertex is (-11/2, -225/4).
Learn more about quadratic equations here:https://brainly.com/question/4038687
#SPJ1
Jacob put hummingbird feeders in his garden. To make the food for his small feeder, he mixed sugar with warm water. He used the same amount of sugar for his large feeder, but he added more water to completely fill it. Which mixture was sweeter?
Answer:
Step-by-step explanation:
The smaller feeder is sweeter as it has more sugar molecules per unit of water than the larger feeder.
Which is NOT true?
7 + 7 = 19 - 5
9 + 9 = 11 + 7
19 = 13 + 5
20 - 12 = 4 + 4
Answer:
c.19 = 13 + 5
Step-by-step explanation:
Evaluate the difference quotient for the given function.
f(t) = g(t) h(t) , where g(t) = cos(t) and h(t) =sin(t)
Assuming you mean f(t) = g(t) × h(t), notice that
f(t) = g(t) × h(t) = cos(t) sin(t) = 1/2 sin(2t)
Then the difference quotient of f is
[tex]\dfrac{\frac12 \sin(2(t+h)) - \frac12 \sin(2t)}h = \dfrac{\sin(2t+2h) - \sin(2t)}{2h}[/tex]
Recall the angle sum identity for sine:
sin(x + y) = sin(x) cos(y) + cos(x) sin(y)
Then we can write the difference quotient as
[tex]\dfrac{\sin(2t)\cos(2h) + \cos(2t)\sin(2h) - \sin(2t)}{2h}[/tex]
or
[tex]\boxed{\sin(2t)\dfrac{\cos(2h)-1}{2h} + \cos(2t)\dfrac{\sin(2h)}{2h}}[/tex]
(As a bonus, notice that as h approaches 0, we have (cos(2h) - 1)/(2h) → 0 and sin(2h)/(2h) → 1, so we recover the derivative of f(t) as cos(2t).)
Drag and drop the fractions to order them from least to greatest. 2/3 -4/5 1/4 -3/7
Step-by-step explanation:
I hope this helps out bye.
20 POINTS AND BRAINLIST! WILL BE GIVEN!!
complete the following statements.
<1 and <5 are remote interior angles of <4.
_ and _ and are remote interior angles of <6.
_ and _ are remove interior angles of <2.
The sum of the remote interior angles are equal to the exterior angles.
The completed statements are;
∠1 and ∠3 are remote interior angles of ∠6
∠3 and ∠5 are remote interior angles of ∠2
Reasons:
Remote interior angles are the angles that are not on the same vertex as an exterior angle
The remote interior angles of ∠4 are ∠1 and ∠5
Similarly, we have;
∠1 and ∠3 are remote interior angles of ∠6
∠3 and ∠5 are remote interior angles of ∠2
Learn more about the exterior and interior angles of a triangle here:
https://brainly.com/question/8797215
Solution set for the equation x^2-6x+10=0
Answer:
3+2i, 3-2i
Step-by-step explanation:
no rational solutions
if you use quadratic formula you get (6±[tex]\sqrt{-4}[/tex])÷2
The radius of a circle wheel is 35 cm. How many revolutions does it make to cover a distance of 81.40
Answer:
.37 resolutions
Step-by-step explanation:
2×22/7×35
44.5×=220
0.37 revolutions
Jack’s school bag contains 8 books each of weight 3/8 pounds, and 6 folders of weight 1/2 pound. b) What fraction of the total weight is folders?
Answer:
3/6
Step-by-step explanation:
Answer:
3/6 é a resposta tabom me de coraçãozinho
Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes
Answer:
No, there is no enough flour for each of his friends to get a cupcake
Step-by-step explanation:
Let us use the ratio method to solve the question
∵ This recipe makes 2 dozen cupcakes
∵ Each dozen contain 12 cupcakes
∴ The number of cupcakes can the recipe make = 2 × 12
∴ The number of cupcakes can the recipe make = 30 cupcakes
∵ The recipe calls for 3 cups of flour
→ That means 3 cups of flour can make 30 cupcakes
∴ 3 cups of flour makes 30 cupcakes
∵ Anthony’s mother has only 1 cup of flour
→ By using the ratio method
→ flour : cupcake
→ 3 : 30
→ 1 : x
→ By using cross multiplication
∵ 3 × x = 1 × 30
∴ 3 x = 30
→ Divide both sides by 3
∴ x = 9
∵ x represents the number of cupcakes
∴ Anthony’s mother can make 9 cupcakes with 1 cup of flour
∵ Anthony has 12 friends at his daycare
∵ The number of the cupcakes = 9
∴ The number of cupcakes is not enough for each of his friends to
get a cupcake
Step-by-step explanation:
Answer:
Tony’s birthday his mother is making cupcakes for his friends at his daycare that the recipe calls for 3 1/3 of flour I make 2 1/2 dozen cupcakes.Call me she’ll ask flower two dozen of cupcakes
Step-by-step explanation:
Solve the following system of equations by substitution. *
8x + 5y = 24
y = -4x
Answer:
x= 19/4
Step-by-step explanation:
BRAINLIEST HELPPPP PLEEEASE
Being the same distance away from 0 if you add the positive and negative values together the answer would be 0.
Answer: x + y = 0
What is the slope? X 0,1,2,3 y -5,-1,3,7
[tex]\begin{array}{|cc|ll} \cline{1-2} x&y\\ \cline{1-2} 0&-5\\ 1&-1\\ 2&3\\ 3&7\\ \cline{1-2} \end{array} \begin{array}{llll}\\[-0.5em] \leftarrow \textit{let's use this point}\\\\\\ \leftarrow \textit{and this point} \end{array}\qquad \qquad (\stackrel{x_1}{0}~,~\stackrel{y_1}{-5})\qquad (\stackrel{x_2}{3}~,~\stackrel{y_2}{7})[/tex]
[tex]\stackrel{slope}{m}\implies\cfrac{\stackrel{rise}{\stackrel{y_2}{7}-\stackrel{y1}{(-5)}}}{\underset{run}{\underset{x_2}{3}-\underset{x_1}{0}}}\implies \cfrac{7+5}{3}\implies \cfrac{12}{3}\implies 4[/tex]
Please help me answer this
Answer:
1) 1:2 2) 3
3) 1:8 4) 2:7
5) 1:4 6) 3:7
7) 2:5 8) 3:11
9) 2:7 10) 4:7
11) 8:9 12) 7:11
13) 1:2 14) 3
15) 26:27 16) 1:40
17) 1:10 18) 1:100
19) 1000 20) 10
Step-by-step explanation:
Find the x- and y-intercepts of the graph of -10x+4y=20. State each answer as an integer or an improper fraction in simplest form.
Answer:
x intercept - (-2,0)
y intercept (0,5)
Step-by-step explanation:
I hope this helps!
√((2+√3)÷(2-√3))
what is the answer?
Joshua's assignment this weekend is to read a book with seventy-four pages. On Saturday he read thirty pages. How many pages does he need to read on Sunday?
Answer:
61
Step-by-step explanation:
he read first 74 and need to
= 74-30
=44
Find
∂f
∂x
,
∂f
∂y
, and
∂f
∂z
.
f(x, y, z) = 32xyz
Answer:
what are the measurements for 1 and 2?
Step-by-step explanation:
George Washington
Harry bought two-thirds pound of candy. He ate four-fifths of the candy. What was the weight of the candy he ate?
Answer:
8/15
Step-by-step explanation:
not sure but I think you just multiply them
Please help with Exponential Problem !!!
Answer:
D) f(3) = 54
Step-by-step explanation:
f(3) = 2 x 3^3
f(3) = 2 x 27
f(3) = 54
Hope this helps! Pls give brainliest!
Answer:
D
Step-by-step explanation:
first you need to do the exponent and you substitute the 3 in for ex
so 3^3=27
then you multiply it by 2 to get 54
Graph the equation 2x - y = -3
PLEASE HELP, I HAVE NO IDEA HOW.
Step-by-step explanation:
Lets assume that x=0
Therefore- 2×0-y= -3
0 - y =-3
Therefore y = -3
Then lets take now the before equation
2x - 3= -3
2x = -3+3
2x=0
x=0÷2
∴ x= 0
Answer is- 0,-3
See image
You have to change the equation so it's in the form y=mx+b.
b is the y-intercept and it is a good starting point and m is the slope and it tells you directions to the next point (also how steep or flat and if it's going up or down) See image
PLEASE HELP!!
what is the intermediate step in the form (x+a)^2=b as a result of completeting the square for the following equation?
x^2-34=16x
Answer:
1: x =(16-√392)/2=8-7√ 2 = -1.899
2: x =(16+√392)/2=8+7√ 2 = 17.899
Step-by-step explanation: I found two solutions it’s either one or two.
I hope this helped :) I tried my best.
I have invested for a loan of Php 5,000, and I need to repay in one lump sum at the end of one year. What annual interest rate corresponds to a lump-sum payment of Php 5,425?
Based on the information given, it can be deduced that the annual interest rate will be 8.5%.
Principal = 5000
Interest = 5425 - 5000 = 425
Time = 1 year
Rate = Unknown.
Simple Interest = PRT / 100
425 = (5000 × R × 1)/100
42500 = 5000R.
R = 42500/5000
R = 8.5%
In conclusion, the correct option is 8.5%.
Learn more about the interest rate on:
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How many minutes does it take for the goose to fly 1 mile if it takes 6 minutes to fly 18 miles
Answer:
1/3 minutes
Step-by-step explanation:
We can write a ratio to solve
6 minutes x minutes
---------------- = ------------------
18 miles 1 mile
Using cross products
6 * 1 = 18 x
6 = 18x
Divide each side by 18
6/18 = 18x/18
1/3 = x
1/3 minutes
What is the sum of £4(0.5) "1?
n=1
O S=1.5
OS = 2
O S = 4.5
O S= 8
On a separate sheet of paper, graph the function. In the answer box, describe the function.
f(x) = {-5x+2 if x 2
2x - 2 if x 22
Please type your explanation (no links).
Answer:
see attached
Step-by-step explanation:
The graph for x < 2 is the line y = -5x +2. It has a y-intercept of 2 (point (0, 2)) and a slope (rise/run) of -5. The line ends with an open circle at (2, -8).
The graph for x ≥ 2 is the line y = 2x -2. It has a slope of 2 and ends with a solid dot at the point (2, 2). Another point on that line will be 2 units right and 4 units up, at (4, 6).
You can plot the points described here and draw rays through them to form the graph. A graph is attached.
__
description
The function is a piecewise linear function with a jump discontinuity at x=2. The portion left of x=2 has a slope of -5 and ends with an open circle at (2, -8). The portion right of x=2 has a slope of +2 and starts with a solid dot at (2, 2).
Its domain is all real numbers. Its range is all y-values greater than -8.
Two angles are complementary. The smaller angle is 34 degrees less than the larger angle. What is the measurement of the smaller angle?
Answer:
56
Complementary means 90
Subtract 34 from 90
90-34 = 56
Find the value of x in the figure below
Answer:
37
Step-by-step explanation:
Both the x and the 53 add up to 90 so you subtract 53 from 90 and you get 37
help help help help math math
Answer:
[tex]2916^3\\[/tex]
Step-by-step explanation:
As the formula is [tex]\frac{4}{3}\pi \cdot r^3[/tex]
But we take [tex]\pi[/tex] as 3 so it would be [tex]\frac{4}{3}3\cdot r^3[/tex]
And the radius is 9 half of Diameter
We would write it like this
= [tex]\frac{4}{3}3\cdot 9^3[/tex]
Then when we solve it would become [tex]2916^3\\[/tex]
I hope this helps :)