Answer:
y = 5/2 , x= 7/2
Step-by-step explanation:
5x - 3y = 10…....(1)
3x + 3y = 3......(2)
solving by elimination, we subtract equation (2) from equation (1)
so, 2x = 7
dividing both sides by 2
x= 7/2
substitute x=7/2 for the value of y in equation (1)
5(7/2) - 3y = 10
multiply both sides by 2
35 - 6y = 20
rearranging
-6y = -15
dividing both sides by -6
y = 5/2
The graph of which of the following functions has a vertex at (4, -3)?
f(x) = x2² + 8x + 19
f(x) = x² - 8x + 19
f(x) = x² + 8x + 13
f(x) = x² - 8x + 13
Answer:
Therefore the answer is the fourth option y = f(x) = [tex]x^{2}[/tex] - 8x + 13
Therefore when x = 4 then y = -3 from the equation of parabola and this is the required vertex.
Step-by-step explanation:
i) f(x) = [tex]x^{2}[/tex] + 8x + 19 = [tex](x + 4)^{2}[/tex] + 3. SO the vertex is at (-4, 3)
Therefore the answer is the fourth option y = f(x) = [tex]x^{2}[/tex] - 8x + 13
= ([tex]x^{2}[/tex] - 8x + 16) + 3 = [tex](x-4)^{2}[/tex] - 3
Therefore when x = 4 then y = -3 from the equation of parabola and this is the required vertex.
Final answer:
The function with a vertex at the point (4, -3) is f(x) = x² - 8x + 13. This is concluded by using the vertex formula for a quadratic equation and checking the resulting coordinates against the given options.
Explanation:
The question is asking which of the given functions has a vertex at the point (4, -3). To find the vertex of a quadratic function of the form f(x) = ax² + bx + c, we can use the vertex formula, which is h = -b/(2a) for the x-coordinate, and then plug that back into the equation to find the y-coordinate. In this case, the function with the vertex (4, -3) must have the x-coordinate of the vertex at x = 4. Plugging this into the vertex formula, we get 4 = -b/(2a). We then look for a function where -b/(2a) = 4. The function f(x) = x² - 8x + 13 is the correct one because when we apply the formula -(-8)/(2*1) = 8/2 = 4. To confirm, we substitute x = 4 into the function: (4)² - 8(4) + 13 = 16 - 32 + 13 = -3, which gives us the y-coordinate of the vertex, -3.
For 23 - 25, use the function y = 0.23x +1.
23. f(2)= ?
24. f(0) = ?
25. f(-3) = ?
Answer:
Step-by-step explanation:
y=0.23x+1
f(2)=0.23(2)+1=0.46+1=1.46
f(0)=0.23(0)+1=0+1=1
f(-3)=0.23(-3)+1=-0.69+1=0.31
B(-5,1) is one end point of the segment and M(-3,3) is the midpoint of a segment what are cordnates of point A
Answer:
(-1,5)
Step-by-step explanation:
Let the coordinates of point A be (a,b).
We have that B is at (-5,1)
Assuming M(-3,3) is the midpoint of the segment AB, then
[tex](-3, 3 )= ( \frac{a + - 5}{2}, \frac{b + 1}{2} )[/tex]
This means that:
[tex]- 3 = \frac{a + - 5}{2}[/tex]
and
[tex]3 =\frac{b + 1}{2}[/tex]
This implies that 2*-3=a-5 and 3*2=b+1
-6=a-5 and 6=b+1.
a=5-6 and b=6-1
a=-1 and b=5.
Therefore the coordinates of A are:
(-1,5)
j+3/8 if j Equals 3/8
Answer:
3
5
÷
j
=
3
8
Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
(
3
5
)
⋅
8
=
j
⋅
3
Step-by-step explanation:Multiply the numerator of the first fraction by the denominator of the second fraction. Set this equal to the product of the denominator of the first fraction and the numerator of the second fraction.
(
3
5
)
⋅
8
=
j
⋅
3
How good is pizza and what is 8/2
Answer:
I dont know what they tought you in your school...but pizza is 100% good, and 8/2 is 8divided by2 so the answer is 4.
PLESASE MART BRAINLIEST. IT'S OK IF NOT BUT STILL THX.
Answer:
pizza is very good and 8/2 is 4.
Step-by-step explanation:
pls mark brainliest thx! :)
What is 4 3/4 as a improper fraction
Answer: 19/4
Explanation: To write a mixed number as an improper fraction, first multiply the denominator times the whole number and then add the numerator.
So here, we multiply the denominator which is 2 times the whole number, 3, and then we add the numerator. So we have (4 x 4) + 3 which simplifies to 19.
Finally, we put our new number over our old denominator and we have our answer which is 19/4.
So 4 and 3/4 can be rewritten as the improper fraction 19/4.
Explanation of converting [tex]4\frac{3}{4}[/tex] to an improper fraction as 19/4.
To convert the mixed number [tex]4\frac{3}{4}[/tex] to an improper fraction, multiply the whole number by the denominator of the fraction, then add the numerator:
4 x 4 + 3 = 19
So, [tex]4\frac{3}{4}[/tex] as an improper fraction is 19/4.
Sue talked on her cell phone for
2 1/2 hours on Monday. She talked
for 4 2/3 hours on Tuesday. How
many more hours does Sue need to
talk to get 8 hours?
A.7 1/6
B.6 3/5
C.1 1/6
D.5/6
3.
"a varies directly with b". If a = 4 when b = 21, find a when b-7.
Step-by-step explanation:
A(promotional sign)b
A=kb
4=21k
K=0. 1904
A=0. 2b
A=0. 2×7
A=1. 4
:
Step-by-step explanation:
a varies directly with b
a ∞ b
a = Kb
K is the constant of proportionality
If a = 4 when b = 21
4 = 21×k
4 = 21k
k = 4/21
: - a = 4b/21
find a when b= 7.
a = 4(7)/21
a = 4/3
a = 1 1/3
The total cost of gasoline varies directly with the number of gallons purchased. Kathy pays $23.36 for 16 gallons of gasoline. Which equation
shows the relationship between the total cost of gasoline, c, and the number of gallons purchased, n?
•
A.C= 1.46n
.
B. n = 1.46c
.
•
C.C = 23.361
D. n = 23.36c
The correct equation that represents the direct variation between the total cost of gasoline and the number of gallons purchased is C = 1.46n.
Explanation:The question involves finding the equation that represents the direct variation between the total cost of gasoline c, and the number of gallons purchased n. Kathy pays $23.36 for 16 gallons of gasoline. To find the unit price, we divide the total cost by the number of gallons:
$23.36 ÷ 16 gallons = $1.46 per gallon
Since the total cost varies directly with the number of gallons, we can express this as c = $1.46 × n. Thus, option A, C = 1.46n, shows the correct relationship between the total cost of gasoline, c, and the number of gallons purchased, n.
Please help will give brainliest to correct answer!
Answer:
the symplifayed version is 4
Anna rode her bike 7 miles to the lake. She rode 3/4 of the distance to the lake before lunch. How many miles did she ride before lunch?
Answer:
3/4 *7= 3/4 * 7/1=21/4=5 1/4
Step-by-step explanation:
Johnny expected 20 friends to show up to his birthday party but 25 attended
Theirs a picture on top.. :)
15. simplify
16. simplify
Answer:
15(b)
16(a)
Step-by-step explanation:
15) 2x+10/2
Taking 2 common
2(x+5)/2
x+5
16) -2(-x-3)
(-2*-x)+(-2*-3)
2x+(6)
2x+6
Answer:
15: B. x+5
16: A. 2x+6
For a car moving at a constant speed, the distance traveled varies directly with the time spent driving. If such a car travels 270 miles in 6 hours, how many miles does it travel in 8 hours?
Answer:
Step-by-step explanation:
Let the distance be D and time T.
D ∞ T
D = kT
Where k is the constant of proportionality.
k = D/T
When D = 270miles & T = 6hours
k = 270/6
k = 45
:- D = 45T
When T = 8hours
D = 45 × 8
D = 360miles
A caterer prepares twice as many pizzas as she usually prepares for a large party. The caterer usually prepares 4 pizzas. The caterer also estimates that each party guest will eat 1 2 of a pizza. Drag and drop each expression into the correct boxes to complete the explanation. The expression that represents how many guests the pizzas can serve is . How many party guests will the pizzas serve? Drag and drop the number of guests into the box. The pizzas can serve guests.
Answer:
8 pizzas can serve 16 guests.
Step-by-step explanation:
So the caterer usually prepares 4 pizzas, but now she prepared twice as many, which means that now there are 4 • 2 = 8 pizzas.
Also, there is an estimation that each guest will eat 1/2 of a pizza.
In order to answer how many guests will 8 pizzas serve, we need to write an equation (pizzas per guest multiplied with number of guests equals the number of pizzas). Let's mark the unknown number of guests with x:
1/2 • x = 8
x = 8 / 1/2
x = 16
So, if each guest eats 1/2 of a pizza, then 8 pizzas will be enough to serve 16 guests.
The point-slope form of the equation of the line that passes through (–5, –1) and (10, –7) is y plus 7 equals negative StartFraction 2 over 5 EndFraction left-parenthesis x minus 10 right-parenthesis.. What is the standard form of the equation for this line?
Answer:
2x + 5y = - 15
Step-by-step explanation:
The line that passes through (–5, –1) and (10, –7) points and the point-slope form of the equation is [tex]y + 7 = - \frac{2}{5}(x - 10)[/tex].
Now, we have to arrange this in the standard form.
So, [tex]y + 7 = - \frac{2}{5}(x - 10)[/tex]
⇒ 5(y + 7) = - 2(x - 10)
⇒ 5y + 35 = - 2x + 20
⇒ 2x + 5y = - 15 (Answer)
Round 31.693 to the nearest whole number
Answer:
32
Step-by-step explanation:
Answer:32
Step-by-step explanation:
Use long division to find the value of 5.04 divided by 7
Final answer:
Long division is used to divide 5.04 by 7, giving a quotient of 0.72. We divide 50 by 7 to get 7, then bring down the 0 and 4 consecutively, resulting in 1 and 4 added to the quotient line, respectively.
Explanation:
When you use long division to divide 5.04 by 7, you start by placing the divisor (7) outside the division box and the dividend (5.04), with the decimal point, inside the box. You then determine how many times 7 goes into 50 (the number before the decimal point in 504), which is 7 times. Therefore, you place a 7 above the 50, on the quotient line. Next, you multiply 7 by 7 to get 49, and subtract that from 50, resulting in 1. Shift down the next digit from the dividend, which is 0, making the new number 10. Seven goes into 10 once, so you put another 1 on the quotient line, multiply 7 by 1 giving 7, and subtract again, resulting in 3. Lastly, you bring down the last digit, which is 4, to get 34. Five goes into 34 four times, giving us a final quotient of 0.72.
1. Name a pair of adjacent angles. Explain why they are adjacent.
2. Name a pair of complementary angles.
3. Find m
Ashley read 12 books in 16 months. What was her rate of reading in books per month?
Answer:
3/4 book per month
Step-by-step explanation:
12/16=3/4
Ashley's reading rate is calculated by dividing the total number of books she read (12 books) by the number of months it took her to read them (16 months), which gives 0.75 book per month.
Explanation:The question is about determining Ashley's rate of reading in terms of books per month. The rate is determined by dividing the total number of books she has read by the total number of months. In this case, Ashley has read 12 books in 16 months.
To find Ashley's reading rate, you would divide the total number of books she has read (12 books) by the number of months it took her to read them (16 months), that is 12 books ÷ 16 months = 0.75 book per month.
So Ashley's reading rate is 0.75 book per month.
Learn more about Rate Calculation here:https://brainly.com/question/16549128
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What is five times two fith
Answer:
5 x 2/5
Step-by-step explanation:
5/1 x 2/5 =
10/5 =
= 2
Answer:
2/5 x 5 first turn 5 into a fraction it becomes 5 over 1 so the new problem is
2/5 x 5/ 1= 10/5= 2
Step-by-step explanation:
4. The area of a regular hexagon is 50 in. Find the length of a side. Round your answer to the nearest tenth.
Answer: 4.4
Step-by-step explanation:
The formula for calculating the area of regular hexagon is given as :
Area = [tex]\frac{3\sqrt{3}}{2}[/tex][tex]a^{2}[/tex]
Where a is the length of a side.
Substituting the value given , we have :
50 = [tex]\frac{3\sqrt{3}}{2}[/tex][tex]a^{2}[/tex]
50 x 2 = [tex]3\sqrt{3}[/tex] [tex]a^{2}[/tex]
100 = [tex]3\sqrt{3}[/tex] [tex]a^{2}[/tex]
Divide through by [tex]3\sqrt{3}[/tex]
[tex]a^{2}[/tex] = [tex]\frac{100}{3\sqrt{3}}[/tex]
[tex]a^{2}[/tex] = 19.24500897
Take the square root of both sides :
a = [tex]\sqrt{19.24500897}[/tex]
a = 4.3869
To the nearest tenth
a = 4.4
How many 3/4 are in 2
After 4 months, 4500 deposited in a savings account with simple interest had grown to a total of 4515. What was the interest rate?
Answer: 3%
Step-by-step explanation:
S.I = ptr / 100
Interest = 4515 - 4500
Interest = 15
time = 4 months = 4/12 years = 1/3 years
substituting each value into the equation to find rate , we have
15 = 4500 x 1/3 x r / 100
1500 = 4500 x 1/3 x r
3(4500) = 4500r
r = 3(4500) / 4500
r = 3%
Answer:
3
Step-by-step explanation:
the guy is right above me
Given k(x)=3(x+2)/4, what is k(-10)
Answer:
k(-10)=-6
Step-by-step explanation:
-10+2=-8
3(-8)=-24
-24/4=-6
how to solve 3.5x = 14.7
Answer:
×=4.2
Step-by-step explanation:
3.5x=14.7
÷3.5 ÷3.5
x=4.2
Answer:
4.2
Step-by-step explanation:
divide 14.7 by 3.5
Topic finite Geometric
What is the value of? 364
484
1,365
1,456
Answer:
d
Step-by-step explanation:
Answer:
The answer is D: 1,456
Step-by-step explanation:
I got it right on edge
A population of bacteria doubles every 15 hours. initially, the population of bacteria is 40. What is the population of bacteria after 40 hours? Enter your answer, rounded to the nearest whole number, in the box.
The population of bacteria after 40 hours is 254
Step-by-step explanation:
Initial population of bacteria = 40
Growth rate: Doubles every 15 hours
The population function is given as:
[tex]P_t = P_0 * r^t[/tex]
Here
P0 is the initial population
r is the growth rate
and t is the time in hours
The growth rate will be: [tex]2^{\frac{t}{15}}[/tex]
Putting the values in the function
[tex]P_t = 40 * 2^{\frac{40}{15}}\\P_t = 40 * 2^{2.67}\\P_t = 40 * 6.34960...\\P_t = 253.98416...[/tex]
Rounding off to nearest whole number we get
P_t ≅254
Keywords: Population growth,, bacteria
Learn more about population growth at:
brainly.com/question/96882brainly.com/question/96535#LearnwithBrainly
From the information, the population of the bacteria will be 254.
Based on the information given, the population function will be:
= P × 2r
where, P = initial population of the bacteria
= 40 × 6.349
= 253.98
= 254
Therefore, it can be deduced that the population of the bacteria after 4 hours will be 254.
Learn more about equations on:
https://brainly.com/question/13763238
Evaluate the expression for b = 5.
7.4b
Answer:
37
Step-by-step explanation:
Plug 5 in for b .
7.4 * 5 = 37
PLEASE HELP VERY DESPREAT
Answer: 2.50
Step-by-step explanation
we need to divide dollars / kilogram
Answer:
Step-by-step explanation:
X + 55 + 100 = 180
X = 180 - 100 - 55
X = 25°