Answer:
1) (0,a)
Step-by-step explanation:
f(0) = a. b^0 = a. 1 = a
=> (0,a)
A cooking teacher needs to give each student in his class three eggs to use in a recipe. There are 44 students in the class. How many dozens should the teacher buy?
Answer:
11
Step-by-step explanation:
Multiply 44 by 3 to get the amount of eggs you need total, then divide it by 12 for each dozen of cartons you’ll need to buy. The end result is 11.
Two functions are shown in the table below f(x) equals -X squared plus 4X +12 And G(x)
equals X +2
Answer:
[tex]x = -2; x = 5[/tex]
Step-by-step explanation:
Given
[tex]f(x) = -x^2 + 4x + 12[/tex]
[tex]g(x) = x +2[/tex]
Required
For what value of x is: [tex]f(x) = g(x)[/tex]
[tex]f(x) = g(x)[/tex] implies that
[tex]-x^2 + 4x + 12 = x + 2[/tex]
Collect like terms
[tex]-x^2 + 4x -x + 12 -2 = 0[/tex]
[tex]-x^2 + 3x + 10 = 0[/tex]
Expand
[tex]-x^2 + 5x-2x + 10 = 0[/tex]
Factorize
[tex]-x(x - 5)-2(x - 5) = 0[/tex]
Factor out x - 5
[tex](-x - 2)(x - 5) = 0[/tex]
Solve for x
[tex]-x - 2 = 0; x - 5 = 0[/tex]
So:
[tex]x = -2; x = 5[/tex]
By the distributive law, 49 * 17 + 49 * 3 =
Answer:
980
hope it helps
Angles D and G are complementary. What statement must always be true about angles D and G?
Answer:
They will never intersect. I'm pretty sure that is right
HELP HELP HELP!!!!!!!!!!!!!!!!!!!
Answer: the top one
Step-by-step explanation:
PLEASE HELP ASAP PLSSSSS !!!
Answer:
133 answer ---------------------------------------- helpful answer
find the probability of spinning an A 3 times
if jane give £2 pounds to charlotte they will have equal amount of money. instead
charlotte give £4 to jane the ratio of jane's money to charlotte will be 2:1. how much
do jane and charlotte each have to start with
Which ones are correct?
Answer:
Th answer is D
Step-by-step explanation:
Help me out plsssssss
Answer:
125
Step-by-step explanation:
the bearing of b to a is equal to 85+45
There were 436 tickets purchased for a major league baseball game. The general admission tickets cost $6.50 and the upper reserved tickets cost $8.00. The total amount of money spent was $3284.00. How many of each kind of ticket were purchased?
How many general admission tickets were purchased? ____
How many upper reserved tickets we purchased? ___
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Step-by-step explanation:
Let the number of general tickets = g.
Let the number of reserved tickets = r.
6.5g + 8r = 3284
g + r = 436
6.5g + 8r = 3284
(+) -8g + -8r = -3488
--------------------------------
-1.5g = -204
g = 136
g + r = 436
136 + r = 436
r = 300
Answer:
How many general admission tickets were purchased? __136__
How many upper reserved tickets we purchased? _300_
Answer:
136 general admission tickets were purchased
300 upper reserved tickets were purchased
Step-by-step explanation:
This is a classic system of equations problem. Let the number of general admission tickets sold be [tex]g[/tex] and the number of reserved tickets sold be [tex]r[/tex]. We can write the following system of equations:
[tex]\begin{cases}6.50g+8.00r=3284,\\g+r=436\end{cases}[/tex]
Multiply the second equation by -8 and add both equations to isolate [tex]g[/tex]:
[tex]-8(g+r)=-8(436),\\-8g-8r=-3488,\\\begin{cases}6.50g+8.00r=3284,\\-8g-8r=-3488\end{cases},\\-1.5g=-204,\\g=\frac{-204}{-1.5}=\boxed{136}[/tex]
Now substitute [tex]g=136[/tex] into [tex]g+r=436[/tex] to find the number of reserved tickets sold:
[tex]g+r=436,\\136+r=436,\\r=436-136=\boxed{300}[/tex]
Are the triangles congruent? Why or why not?
Answer:
ffffffssssssssssssssssscv
Step-by-step explanation:
0.87 written as a fraction
Answer:
[tex] \frac{87}{100} [/tex]Step-by-step explanation:
Convert to a mixed number by placing the numbers to the right of the decimal over 100. Reduce the fraction.
Hope it is helpful...Answer:
87/100
Step-by-step explanation:
Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.
Answer:
x=3 and x=-2 is the root of given eq
Answer:
Use the zero product property to find the solutions to the equation x2 – x – 6 = 0.?
x = –2 or x = 3 is the answer
Step-by-step explanation:
Please help it’s a riddle can you find the correct answer
Calculating area of rectangle
Your measurments Another student's measurements
Length (cm) 20.70 20.74
Width (cm) 10.44 10.46
Area (cm2)
Required:
Why might two students have different calculated areas when measuring the same rectangle?
Answer:
[tex]Area = 216.108cm^2[/tex] --- You
[tex]Area = 216.940cm^2[/tex] --- Another student
Reason: Because there is a variation in the given dimensions
Step-by-step explanation:
Given
Your measurement
[tex]Length = 20.70cm; Width =10.44cm[/tex]
Another students'
[tex]Length = 20.74cm; Width =10.46cm[/tex]
Solving (a): The area
Area is calculated as:
[tex]Area = Length * Width[/tex]
For you
[tex]Area = 20.70cm * 10.44cm[/tex]
[tex]Area = 216.108cm^2[/tex]
For the other student
[tex]Area = 20.74cm * 10.46cm[/tex]
[tex]Area = 216.940cm^2[/tex]
Solving (b): Reason for the variation in the areas
The given measurements are estimates of the dimensions of the rectangle.
Since there is a variation in the estimates, there will be some level of variation in the calculated area.
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and I is red. If it is spun randomly, what is the probability of it landing either on a yellow or a red section?
Given:
A spinner is divided into 8 equal sections where 3 are black, 4 are yellow, and 1 is red.
To find:
The probability of it landing either on a yellow or a red section.
Solution:
We have,
Total number of sections = 8
Black sections = 3
Yellow sections = 4
Red sections = 1
Now,
Either yellow or red sections = 4 + 1
= 5
Now, the probability of it landing either on a yellow or a red section is:
[tex]\text{Required probability}=\dfrac{\text{Either yellow or red sections}}{\text{Total number of sections}}[/tex]
[tex]\text{Required probability}=\dfrac{5}{8}[/tex]
Therefore, the required probability is [tex]\dfrac{5}{8}[/tex].
Oliver wants to compare the number of hours 7th graders
and 8th graders play video games per week. He makes a
box-and-whisker plot for each data set.
8th Grade
7th Grade
10
12
14
16
18
20
22
24
26
28
30
32
Which value do you know is lesser for 7th grade than 8th
grade?
Write the slope-intercept form of the equation of the line through the point (-1,-4) with the slope of 6.
Answer:
y-y1=m(x-x1)
y+4=6(x+1)
y=6x+2
Find the size of the of angle x.
Answer:
80 degrees
Step-by-step explanation:
Since a triangle is 180 degrees
you then add to 2 degrees given and subtract it from 180
65+35=100
180-100=80 degrees
explanation please will give brainliest.
Answer:
[tex]AC = 28[/tex]
Step-by-step explanation:
Given
[tex]AB = 16[/tex]
[tex]BC = 12[/tex]
Required
Determine AC
Since A, B and C are collinear, then:
[tex]AC = AB + BC[/tex]
So, we have:
[tex]AC = 16 + 12[/tex]
[tex]AC = 28[/tex]
1. Jeremy has $12000 cash to invest in the bank compounded at 4% interest annually.
a.
What equation will calculate the value in x years? y =
Answer:
[tex]A(x) = 12000(1.04)^x[/tex]
Step-by-step explanation:
Compound interest:
The compound interest formula is given by:
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
Where A(t) is the amount of money after t years, P is the principal(the initial sum of money), r is the interest rate(as a decimal value), n is the number of times that interest is compounded per year and t is the time in years for which the money is invested or borrowed.
$12000 cash
This means that [tex]P = 12000[/tex]
Compounded at 4% interest annually.
This means that [tex]r = 0.04, n = 1[/tex]
What equation will calculate the value in x years?
[tex]A(t) = P(1 + \frac{r}{n})^{nt}[/tex]
[tex]A(x) = P(1 + \frac{r}{n})^{nx}[/tex]
[tex]A(x) = 12000(1 + 0.04)^x[/tex]
[tex]A(x) = 12000(1.04)^x[/tex]
14+6×(9-6)
please answer
Answer:
32
Step-by-step explanation:
14+6(9-6)
[9-6=3]
14+6x3
[6x3=18]
14+18
32
---
hope it helps
Answer:
14+6×(9-6)=32
(d) 4 – 0.2 x (0.4 + 0.7)
Answer:
4d - 0.22
Step-by-step explanation:
Circle O has a circumference of approximately 25077 ft.
Nhat is the approximate length of the diameter o?
40 ft
O 80 ft
0 125 ft
250 ft
Answer:
7,982 ft
Step-by-step explanation:
c = πd
25077 = πd
Divide both sides by π
25077/π = d
d = 7,982 ft
----------------------
I think the 25077 number in the question might be a typo
Just divide the correct number by 3.14 to get the diameter.
factorise y^3- 7y+6
Answer:
(y−1)(y−2)(y+3)
Step-by-step explanation:
Factor y3−7y+6
y3−7y+6
=(y−1)(y−2)(y+3)
Answer:
(y - 2) (y-1) (y+3)
Step-by-step explanation:
y³-7y+6
= y³ +2y² - 2y² - 3y - 4y +6
= ( y³ +2y² - 3y) - (2y² + 4y -6)
= y( y² +2y -3) - 2( y² + 2y -3)
= (y² +2y -3)(y-2)
= ( y² +3y -y -3)(y-2)
= [ y( y+3) -(y+3)] ( y-2)
= (y-1)(y+3)(y-2)
In ΔDEF, the measure of ∠F=90°, ED = 25, DF = 24, and FE = 7. What ratio represents the sine of ∠D?
Answer:
39/89
Step-by-step explanation:
Answer:
7/25
Step-by-step explanation:
(sin) = opp/hyp
A rectangle has a length of 16
inches and a width of 6 inches. A similar rectangle has a length of 24 inches. What is the width of the similar rectangle?
Answer:
9 inches
Step-by-step explanation:
Given
Let;
[tex]L = Length; W= Width[/tex]
So:
[tex]L_1=16in; W_1 = 6in[/tex]
[tex]L_2 = 24[/tex]
Required
Determine [tex]W_2[/tex]
To do this, we make use of the following equivalent ratios
[tex]L_1 : W_1 = L_2:W_2[/tex]
This gives
[tex]16 : 6= 24:W_2[/tex]
Express as fraction
[tex]\frac{6}{16}= \frac{W_2}{24}[/tex]
Multiply by 24
[tex]W_2 = 24 * \frac{6}{16}[/tex]
[tex]W_2 = 9[/tex]
Please help me please please I really need help please please
A moving company charges $30 plus $0.15 per mile to rent a moving van. Another company charges $15 plus $0.20 per mile to rent the same van. For how many miles will the cost be the same for the two companies? Write and solve an equation.
5x + 7y = 42 I need to find the x−and y−intercepts.
Answer:
Y intercept = (0;6)
X intercept = (42/5;0)
