Can someone put this into vertex form?
y=x2+24x-15
Answer:
The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159
Step-by-step explanation:
The vertex form of the quadratic equation y = ax² + bx + c is
y = a(x - h)² + k, where
a is the coefficient of x²(h, k) are the coordinates of the vertex pointh = [tex]\frac{-b}{2a}[/tex] , where b is the coefficient of xk = y at x = hLet us use the facts above to solve the question
∵ y = x² + 24x - 15
∵ a is the coefficient of x² and b is the coefficient of x
∴ a = 1 and b = 24
∵ h is the x-coordinate of the vertex point
∵ h = [tex]\frac{-b}{2a}[/tex]
→ Substitute the values of a and b to find h
∴ h = [tex]\frac{-24}{2(1)}=\frac{-24}{2}[/tex]
∴ h = -12
→ To find k substitute y by k and x by h
∵ y = k and x = h
∴ k = (-12)² + 24(-12) - 15 = 144 - 288 - 15
∴ k = -159
∴ The coordinates of the vertex point are (-12, -159)
→ Substitute the values of a, h, and k in the vertex form above
∵ y = 1(x - -12)² + (-159)
→ Remember (-)(-) = (+) and (+)(-) = (-)
∴ y = (x + 12)² - 159
∴ The vertex form of y = x² + 24x - 15 is y = (x + 12)² - 159
Answer:
sure.
Step-by-step explanation:
What is the inverse of the function f(x) = x - 9?
Answer:
F^-1(x) = x+9
Step-by-step explanation:
Hope this helps! Stay Safe!\
The inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
From the question, the given function is
f(x) = x - 9
To determine the inverse of this function,
First, let y = f(x)That is,
y = x - 9
Now, make x the subject of the equationTo do that, add 9 to both sides
We get
y +9 = x - 9 +9
y + 9 = x
∴ x = y + 9
Now, rewrite as f⁻¹(x) by replacing y by xThat is,
f⁻¹(x) = x + 9
Hence, the inverse of the given function is f⁻¹(x) = x + 9. The correct option is a f⁻¹(x) = x + 9
Learn more here: https://brainly.com/question/16149814
what expression is equivalent to (7² )⁵ ÷ 7¯⁶
Answer: 7^16
Step-by-step explanation:
In triangle ABC, AB measures 25 cm and AC measures 35 cm. The inequality < s < represents the possible third side length of the triangle, s, in centimeters. The inequality < p < represents the possible values for the perimeter, p, of the triangle, in centimeters.
Answer:
The inequality 10 < s < 60 represents the possible third side length of the triangle, s in centimeters.
The inequality 70 < p < 120 represents the possible values for the perimeter p, of the triangle in centimeters.
Step-by-step explanation:
Firsts one The lower number has to be the difference between the bigger number and smaller number. In this case 35 - 25 = 10 and the s < 60 has to be the sum of both numbers.
Second one. I'm assuming it's just the sum of the two numbers to the first answer, and the second number is just the second number from the previous one, but multiplied by 2. Sorry that I couldn't go into too much detail about this one
The inequality that represents the possible third side length
[tex]10cm<s<60cm[/tex]
The inequality that represents the possible values for the perimeter
[tex]70cm<P<120cm[/tex]
Given :
In triangle ABC, AB measures 25 cm and AC measures 35 cm.
For any triangle , we know that the sum of measures of two sides is greater than the third side
Let 's' be the third side length
[tex]25+35>s\\60>s\\\\Also , s+25>35\\s>35-25\\s>10\\Inequality\; is \;\\10<s<60[/tex]
Now we find the perimeter when s=10
Perimeter = sum of all the sides
[tex]s=10\\P=25+35+10=70\\s=60\\P=25+35+60=120[/tex]
[tex]70<P<120[/tex]
Learn more : brainly.com/question/2605035
15 points!!
b. Determine whether hypotenuse-leg (HL) is a valid means for establishing triangle
congruence for right triangles. If it is a valid criterion, explain why.
Answer:
If the hypotenuse and one leg of a right triangle are congruent to the hypotenuse and one leg of another right triangle, then the triangles are congruent.
Step-by-step explanation:
The distance to the nearest exit door is less than 150 feet.
Use d to represent the distance (in feet) to the nearest exit door.
Answer:
d<150
Step-by-step explanation:
Someone plz help this is due tmr and I’m gonna get a f
Help me with this please
Answer:
B?
Step-by-step explanation:
Find two numbers whose sum is 39 and the greater number exceeds the smaller one by 5
Quinton typically walks 28 yards south on Pine Street and 45 yards east on Maple Avenue in order to get to school. How much shorter would his walk be if he took the shortcut shown below? (50PTS)
Answer:
B- 20 yards
Step-by-step explanation:
First you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards. Next you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.
Answer:
20
you have to find the hypotenuse by finding the square root of 28 squares plus 45 squared which equals 53 yards. you have to add the two legs of the right triangle so we can subtract the shortcut length from that. So you have to do 28 plus 45 which equals 73 yards. 73 minus 53 is 20. So the answer is 20 yards.
Please help. It’s due in a couple minutes
Answer:
They failed to create a strong national government.
Step-by-step explanation:
They gave the states too much power that the government should have had making the national government weak.
simplify [tex]\sqrt{-121}[/tex]
Answer:
You cannot simplify because you cannot square root a negative.
please help no work needs to be shown
Calculate a number whose square root is 2.3
Answer: The root of 2.3 is 1.5165750888103
Step-by-step explanation:
order the numbers from least to greatest 7,-2.5,4/6
Answer:
-2.5, 4/6, 7
Step-by-step explanation:
We know this because -2.5 is the only negative number within the sequence, 4/6 is just a fraction so it's not a full number of 6, making 7 the greatest number.
Answer:
-2.5, 4/6, 7
Step-by-Step:
A sink contains 16 liters of water before the drain is opened. It drains at a rate of 2 liters per minute.
Use the segment tool to plot a graph representing the liters of water in the sink over time. Plot only one segment which represents the situation from when the sink starts draining until the sink is empty.
Answer:
8
Step-by-step explanation:
16 liters divided by 2 liters a minute you get 8
also i would do a graph but there is no way of putting it up with my answer i hope this helps a little if it doesnt im sorry
Latrell and his cousin, Tisha, met at a state park to go for an all-day hike. Latrell drove 122 miles to get to the park, and it took him 2 hours. Tisha drove 96 miles to get to the park, and it took her 1.5 hours. On average, how much faster did Tisha drive than Latrell?
Answer:
3 miles
Step-by-step explanation:
122/2 is 61
64 plus 32 is 96. 96/1.5 is 64 meaning that she goes 64 miles an hour.
so she goes 3 miles faster on average than latrell, with latrell going 61 an hour average and her going 64 an hour average
Answer:
Tisha is faster than Latrell by 3 miles/hour
just did the math
a concert started at 5:22pm on friday. the concert ended at 7:04 pm. how long did the concert last?
Answer:
1 hour and 42 min
Step-by-step explanation:
mejores aplicaciones de matemáticas?
PLS SOMEONE HELP QUICK
Answer:
light blue
Step-by-step explanation:
Is y=(x/3) an inverse or direct variation
Answer: y=x3 is a direct variation.
Step-by-step explanation:
Use a property of exponents to simplify. 3Use as the base.
Answer:
3^4 because when u divide exponents w same base just subtract the exponents
Step-by-step explanation:
What are two coordinates on this graph?
Answer:
(0, 5) and (6, 0)
Step-by-step explanation:
please mark brainliest and have a great day
What value of x will make the equation true?
(square root of 5) (square root of 5)=x
please help me :)
Can someone help me pleaseeee
Amdjjsisjshajsvdvd
Answer:
I BELIEVE THE ANSWER WOULD BE C
Step-by-step explanation:
solve the following equation algebraically:
2 x squared = 98
a.
x = 7
b.
x = plus-or-minus 49
c.
x = plus-or-minus 7
d.
x = 49
Answer:
c. [tex] x = \pm 7 [/tex]
Step-by-step explanation:
[tex] 2x^2 = 98 [/tex]
[tex] x^2 = 49 [/tex]
[tex] x = \pm\sqrt{49} [/tex]
[tex] x = \pm 7 [/tex]
Pls help last one
Which one is it
I have a question on this math problem that I'm stuck on
Answer:
what's the question?..
What is the solution to the system of equations graphed below?
(2, 4)
(4,2)
(0.6)
(6.0)
Answer:
(4,2)
Step-by-step explanation:
You can see the point where lines crossed.
Hope this helps you.
The table shows the amount spent on tomatoes at three different stands at a farmer's market. Which stand sold their tomatoes at the least expensive price per pound, and what is that price? Round to the nearest cent as necessary.
Answer:
i have the same question someone pls answer
Step-by-step explanation:
Stand C sold their tomatoes at the least expensive price per pound that price is 2.70 per pound.
What is Ratio?
The ratio is defined as a relationship between two quantities, it is expressed as one divided by the other.
Stand Weight(lb) Cost
A 3/4 2.00
B 1 1/4 3.45
C 5 1/2 14.85
We have to determine the price of sold tomatoes at the least expensive price per pound.
the price of sold tomatoes at stand A:
⇒ 2/(3/4) = 2/0.75 = 2.67 per pound.
the price of sold tomatoes at stand B:
⇒ 3.45/(5/4) = 3.45/1.25 = 2.76 per pound.
the price of sold tomatoes at stand C:
⇒ 14.85/(11/2) = 14.85/5.5= 2.70 per pound.
Here is the least expensive price per pound at stand C.
Therefore, stand C sold their tomatoes at the least expensive price per pound that price is 2.70 per pound.
Learn more about the Ratio here:
brainly.com/question/1504221
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