Use the graph to write a linear function that relates y to x.
The linear function is y=?
Answers
Answer:
identify the value that is intercepting y-axis !!
Step-by-step explanation:
in this case it is 1
Related Questions
Use the diagram below to answer the following questions.
The infield of a baseball field is a square. The distance from home plate to first base is 90 ft.
2nd
8a. What is the distance from home plate to second base?
pitchers mound
3rd
1st
90 ft
8b. What is the distance from third base to first base?
Home
8c. If the pitcher's mound is 60 ft 6 in from home plate, is it the midpoint of the diagonal from home
plate to second base?
Answers
Answer:
Step-by-step explanation:
Distance from home plate to second base = 90√2 feet
Distance from third base to first base = 90√2 feet
60 ft 6 in = 60.5 ft
90√2 /2 = 45√2 ≅ 63.6 ft ≠ 60.5 ft
The pitcher's mound is not at the midpoint.
Find a cubic polynomial that goes through points (4, – 22) and (3, - 26) and has tangents with slopes
respectively 11 and — 2 there. Check your work with a graphing utility.
f() =
Answers
Let f(x) = ax ³ + bx ² + cx + d.
The graph of f(x) passes through (4, -22) and (3, -26), which means f (4) = -22 and f (3) = -26, so that
64a + 16b + 4c + d = -22
27a + 9b + 3c + d = -26
When the question says it has tangents at some point, I take that to mean the slope of the tangent line at that point is the given number. So f ' (4) = 11 and f ' (3) = -2. We have
f '(x) = 3ax ²+ 2bx + c
so that
48a + 8b + c = 11
27a + 6b + c = -2
Solve the system:
• Eliminate d :
(64a + 16b + 4c + d) - (27a + 9b + 3c + d) = -22 - (-26)
→ 37a + 7b + c = 4
• Eliminate c :
(48a + 8b + c) - (27a + 6b + c) = 11 - (-2)
→ 21a + 2b = 13
(48a + 8b + c) - (37a + 7b + c) = 11 - 4
→ 11a + b = 7
• Eliminate b, then solve for a and the other variables:
(21a + 2b) - 2 (11a + b) = 13 - 2 (7)
-a = -1
a = 1 → b = -4 → c = -5 → d = -2
Then
f(x) = x ³ - 4x ² - 5x - 2
The histogram on the left shows the number of hours students in a British Literature class read last week, rounded to the nearest hour. Which of the following statements offers the best description of the median number of hours students in the class read last week?
Answers
Answer:The median number of hours is between 5 and 9
Step-by-step explanation:
The median number of hours students in the class read last week is between 5 and 9
Histogram A histogram is an approximate representation of the distribution of numerical dataHistogram is a diagram consisting of rectangles whose area is proportional to the frequency of a variable and whose width is equal to the class interval.How to solve this problem?The steps are as follow:
Give class interval; Hours of reading0-4;20
5-9;24 32th median
10-14;10
15-19;4
20-24;2
25-29;3 ∑ = 63 i.e. odd
M = 1/2 (63+1) = 32th observation
So the median number of hours students in the class read last week is between 5 and 9
Learn more about Histogram here:
https://brainly.com/question/2962546
#SPJ2
Expand the expression -3 (4s+-7). Then select the correct answer.
A. 12s - 21.
B 12s + 21.
C -12s + 21.
D -12s - 21
Answers
Answer:
I think A is the correct answer because -3+4 is 1 because 4 has greater sign + and +- gives result - thus,-3-7 gives - 21. I hope that it would be meaning ful for you ...
Donna guessed there were 400 jellybeans in a jar. There were really 480 jellybeans. What is her prevent of error
Answers
Answer:
Step-by-step explanation:
Donna guessed 400 but there were 480 so she was off by 80
In the slope 5/9, the 5 indicates to
A. Rise 5 units
B. Run 5 units
C. Fall 5 units
Answers
WILL GIVE BRAINLIEST
Answers
Answer:
[tex]\frac{y}{8}[/tex]
Step-by-step explanation:
quotient means division
the / means divide
Answer:
y/8
Step-by-step explanation:
quotient means divide, so y divided by 8, or y/8
A company has a linear total cost function and has determined that over the next three
months it can produce 13,000 units at a total cost of $226,000. This same manufacturer
can produce 16,000 units at a total cost of $296,000. The sales price per unit is $31.25.
i. Find the revenue, cost, and profit functions using q for number of units.
ii. Find the marginal cost, average cost and fixed cost.
iii. Find break-even quantity.
Answers
Describe a congruence transformation that mapsABCD to APQR.
Answers
Write the number 16408 in words.
Answers
Answer:
Step-by-step explanation:
Sixteen thousand, four hundred and eight
Hope this helps!
purple paint is made from using red paint and blue paint in the ratio 1:2
write an equation for y in terms of x to show the relationship between the amount of red paint (y) and the amount of blue paint (x)
Answers
Answer:
[tex]y = \frac{x}{2}[/tex]
Step-by-step explanation:
Given
[tex]y : x = 1 : 2[/tex]
Required
Represent as an equation
[tex]y : x = 1 : 2[/tex]
Represent as a fraction
[tex]\frac{y }{ x} = \frac{1}{ 2}[/tex]
Cross multiply
[tex]y * 2 = x*1[/tex]
Divide both sides by 2
[tex]y = \frac{x*1}{2}[/tex]
[tex]y = \frac{x}{2}[/tex]
Answer:
Need help with this plz
Answers
Answer:
(a) 3x+28+5x+52+2x-10=180 (∠ sum of Δ)
10x+70=180
10x=110
x=11
(b) ∠C = 2x-10
= 2(11)-10
= 12°
Zack has an old car. He wants to sell it for 60% off the current price. The market price is $500. How much money would he receive in exchange for the car if he were able to sell it at that rate? What if he wanted to sell it for 25% more than the market price?
Answers
60% of 500 is 300
So if Zack wanted to sell the car 60% of the markets price, it would be 300.
125% of 500 is 625
If Zack wanted to sell the car for 25 more than the price at market, it would be 125%, and 125% of 500 is 625.
Amber has determined that the experimental probability of making a free throw in basketball is 12/15. What it the probability of missing a basket?
Answers
Answer:
3/15, 1/5, or 0.2 probability. Highly unlikely
Explanation:
12/15 is the shown probability. The leftover is 3/15, so 3/15 is the chance of missing the basket.
~Hope this helps~
Paul has $30,000 to invest. His intent is to earn 11% interest on his investment. He can invest part of his money at 7% interest and part at 13% interest. How much does Paul need to invest in each option to make a total 11% return on his $30,000?
7% interest =$?
13% interest =$?
Answers
Answer:
A
Algebra For what values of the variables must ABCD be a parallelogram?
B
23. A 2y + 2 B 24. B
(3x + 10)
(8x + 5)º
3x + 6
54°
D
С
D
A
Зу - 9 с
ly+4
write the equation for the function of the graph below
Answers
Answer: (1) [tex]y= \sqrt{x+2}-2[/tex] (2) y = (x - 3)³
D: x ≥ -2 [-2, ∞) D: -∞ < x < ∞ (-∞, ∞)
R: y ≥ -2 [-2, ∞) R: -∞ < y < ∞ (-∞, ∞)
Inc: x > 2 (2, ∞) Inc: (-∞, 3) ∪ (3, ∞)
Dec: never Dec: never
Step-by-step explanation:
NOTES:
Domain is the x-values.
Range is the y-values.
From left to right: increasing when going up and decreasing when going down. The anchor and turning point are not considered to be increasing or decreasing.
J.B. earns $16.60 an hour with time-and-a-half for hours worked over 8 a day. His
hours for a week are 8.25, 8.25, 9.5, 11.5, and 7.25. Determine his gross earnings
for that week.
Answers
Answer:
The gross pay for the week is $701.32
Step-by-step explanation:
J.B. earns $16.60 per hour, and half of it ($16.60/2) for each hour worked over the 8th-hour range.
On the first day, he works 8.25 hours.
We have 8 hours, plus 0.25 hours past the limit, then for the first day he wins:
8*$16.60 + 0.25*($16.60/2) = $134.86
On the second day, he works again 8.25 hours, so he wins the same amount $134.86
On the third day, he works 9.5 hours, then:
We have 8 hours plus 1.5 hours past the limit, then for this day he wins:
8*$16.60 + 1.5*$16.60/2 = $145.25
On the fourth day, he works 11.5 hours, then:
We have 8 hours plus 3.5 hours pást the limit, then for this day he wins:
8*$16.60 + 3.5*$16.60/2 = $161.85
For the last day, he works 7.25 hours, (in this case, we do not have hours worked over the 8-hour limit) then this day he wins:
7.25*$16.60 = $124.50
The gross pay for this week will be equal to:
G = $134.86 + $134.86 + $145.25 + $161.85 + $124.50 = $701.32
Jenny sold 17 less than 3 times the number of quilts Laura sold. Jenny sold
4 quilts. Select whether each statement is true or false. ZEE.4. ZEE 4a
Answers
Answer:
the statement would be false.
Step-by-step explanation:
Jenny sold 17 less than 3 times lauras 4 quilts. So that would make Laura have 12 and 12<17.
Alison rolls two number cubes 90 times. How many times is he going to get a sum of 3?
Answers
15
Step-by-step explanation:
Answer:
I think 30 im so sure
Step-by-step explanation:
uhm i think its 90 divided by 3 cuz i looked it up and got 30 so yea bye
Find the value of x 90, 68 2x
Answers
Answer:
2x + x +90= 180 We will add 2x + x=3x We get 3x + 90 =180 Now we subtract 3x = 180–90 ... x=30, for confirmation put value of x =30in equation and verify. LHS=RHS. Thats it. 68 views.
-1/2x-(1/2x+4)+12=17x-6(3x+5/6) What value of x makes the equation true? Show your work please.
Answers
Answer:
No Solution
Step-by-step explanation:
Keep in mind that if the grouping isn't right, then my result will be wrong:
-1/2x-(1/2x+4)+12=17x-6(3x+5/6)
Let me just change the formatting for convenience, and then begin the calculations:
[tex]-\frac{1}{2}x-\left(\frac{1}{2}x+4\right)+12=17x-6\left(3x+\frac{5}{6}\right)\:[/tex]
[tex]-\frac{1}{2}x-\frac{1}{2}x-4+12=17x-18x-5[/tex]
[tex]-2\cdot \frac{1}{2}x-4+12=17x-18x-5[/tex]
[tex]-x-4+12=17x-18x-5[/tex]
[tex]-x+8=17x-18x-5[/tex]
[tex]-x+8=-x-5[/tex]
[tex]-x=-x-13[/tex]
[tex]0=-13[/tex]
Result: No Solution
Help plz:)))I’ll mark u Brainliest
Answers
Answer:
18 foot ladder will reach at 14.4 feet up the wall.
Step-by-step explanation:
Triangles formed by the ladder against wall and the ground are similar,
ΔABC ~ ΔDEC
Therefore, their corresponding sides will be proportional.
[tex]\frac{AB}{DE}= \frac{BC}{EC}= \frac{AC}{DC}[/tex]
[tex]\frac{AB}{DE}= \frac{BC}{EC}[/tex]
[tex]\frac{18}{10}=\frac{BC}{8}[/tex]
BC = [tex]\frac{18\times 8}{10}[/tex]
= 14.4
Therefore, 18 foot ladder will reach at 14.4 feet up the wall.
Given f(x)=x^3-2, find the equation of the secant line passing through (-4,f(-4)) and (2,f(2))
Answers
Given:
The function is
[tex]f(x)=x^3-2[/tex]
The secant line passing through (-4,f(-4)) and (2,f(2)).
To find:
The equation of the secant line.
Solution:
We have,
[tex]f(x)=x^3-2[/tex]
At x=-4,
[tex]f(-4)=(-4)^3-2[/tex]
[tex]f(-4)=-64-2[/tex]
[tex]f(-4)=-66[/tex]
At x=2,
[tex]f(2)=(2)^3-2[/tex]
[tex]f(2)=8-2[/tex]
[tex]f(2)=6[/tex]
The secant line passes through the points (-4,-66) and (2,6). So, the equation of the secant line is
[tex]y-y_1=\dfrac{y_2-y_1}{x_2-x_1}(x-x_1)[/tex]
[tex]y-(-66)=\dfrac{6-(-66)}{2-(-4)}(x-(-4))[/tex]
[tex]y+66=\dfrac{6+66}{2+4}(x+4)[/tex]
[tex]y+66=\dfrac{72}{6}(x+4)[/tex]
On further simplification, we get
[tex]y+66=12(x+4)[/tex]
[tex]y+66=12x+48[/tex]
[tex]y=12x+48-66[/tex]
[tex]y=12x-18[/tex]
Therefor, the equation of the secant line is [tex]y=12x-18[/tex].
A recent drug survey showed an increase in use of drugs and alcohol among local high school students as compared to the national percent. Suppose that a survey of 100 local youths and 100 national youths is conducted to see if the percentage of drug and alcohol use is higher locally than nationally. Locally, 65 seniors reported using drugs or alcohol within the past month, while 61 national seniors reported using them. Conduct a hypothesis test at the 5% level.
Answers
Answer:
The answer is "0.586"
Step-by-step explanation:
Please find the solution to the given question:
[tex]z= \frac{0.65-0.61}{\sqrt{\frac{0.65 \times 0.35}{100}+\frac{0.61 \times 0.39}{100}}}[/tex]
[tex]= \frac{0.04}{\sqrt{\frac{0.2275}{100}+\frac{0.2379}{100}}}\\\\= \frac{0.04}{\sqrt{0.002275+0.002379}}\\\\= \frac{0.04}{\sqrt{0.004654}}\\\\= \frac{0.04}{0.0682202316}\\\\=0.586336327\\\\[/tex]
PLZ HELP ME YOU GUYS ARE MY ONLY HOPE!!! I WILL GIVE BRAINLIEST PLZ ANSWER<3
2a+3c=5a+2c=1
There is an ordered pair that is the solution of the system of equations shown. The value of one of the variables in the solution of the system can be obtained by using which of the following substitutions?
Answers
Answer:
a = 9, c = -4?
Step-by-step explanation:
i think these are the two equations, let me know if i'm wrong
2a + 3c = 5; a + 2c = 1
rearrange second equation : a = -2c +1
plug in:
2(-2c +1) +3c = 5
-4c +1 +3c = 5
-c +1 = 5
-c = 4
c = -4
a + 2(-4) = 1
a - 8 = 1
a = 9
Can someone please help me
Answers
Answer:
A) 23cm.
B) 32.0625 square cm.
Step-by-step explanation:
Perimeter: Just add all the sides together like so:
4.75x2 + 6.75x2 = 23cm.
Area: Multiply the base and height together:
4.75 x 6.75 = 32.0625 square cm.
23cm
4.75 + 4.75 = 9.50
6.75 + 6.75 = 13.50
13.50 + 9.50 = 23.00
I don’t know what to do please help
Answers
Answer:
f(2)=0
Step-by-step explanation:
You plug in 2 for any X's in the equation
f(2)=2^2-4
Then f(2)=2^2-4.
= 4-4
=0
Don’t write this in answer just to explain:the value of x is 2 so in the eq
X^2-4 so we write 2 where the x is
= 2^2-4 ...now solve it as above
Jamie has white, blue, and pink shirts. She has black, white, and beige pants. She has black and brown shoes. If she chooses one shirt,
one pair of pants, and one pair of shoes, how many unique outfits can she make?
Answers
Answer:
She can make [tex]18[/tex] unique outfits.
Step-by-step explanation:
Jamie has [tex]3[/tex] options to choose from for a shirt (white, blue, or pink), [tex]3[/tex] options to choose from for pants (black, white, or beige), and [tex]2[/tex] options to choose from for shoes (black or brown). Therefore, she can make [tex]3*3*2=18[/tex] unique outfits from these options. Hope this helps!
work out the perimeter of the semi-circle take pi to be 3.142
Answers
P = 25.71 cm
Step-by-step explanation:
Perimeter of semicircle = πD/2
Where D=10 cm
P = (3.142)(10)/2
P = (3.142)(5)
P = 15.71 cm
Complete Perimeter of Semicircle = P + Diameter
= 15.71 + 10
= 25.71 cm
guys help. show work please
Answers
9514 1404 393
Answer:
2^17×3^7
Step-by-step explanation:
The applicable rules of exponents are ...
(a^b)^c = a^(bc)
(a^b)(a^c) = a^(b+c)
__
[tex](2^9\times3^5)\times(2^4\times3)^2=2^9\times3^5\times2^{4\cdot2}\times3^2\\\\=2^{9+8}\times3^{5+2}=\boxed{2^{17}\times3^7}[/tex]