Write an equation of a parabola opens upwards and has vertex (7, - 6).
Any help?
Answer:
f(x) = x² - 14x + 43
Step-by-step explanation:
The equation of a parabola in vertex form is
f(x) = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Here (h, k ) = (7, - 6 ) , then
f(x) = a(x - 7)² - 6
Since the parabola opens upwards then a > 0
let a = 1
f(x) = (x - 7)² - 6 ←in vertex form
f(x) = x² - 14x + 49 - 6
f(x) = x² - 14x + 43 ← in standard form
Simplify the expression. Explain each step.
5.3 + (W + 1.2)
WILL GIVE BRAINLY IF CORRECT
A circle has its center at the point (1, -3) and goes through the point (-3, 0). Using this information, write the equation for the circle.
Answer:
(-3-1)^2+(0+3)^2=r^2
radius is 5 units
Step-by-step explanation:
(x-h)^2+(y-k)^2=r^2
We know values of all variables except r at the moment.
h is the x-coordinate of the center of the circle, and k is the y-coordinate.
x and y are coordinates of a point the circumference touches.
From there, just plug in the numbers and solve!
The measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle. The measure of the third angle is more than the measure of the smallest angle. Find all three measures .
Answer:
45degrees, 79egrees and 56degrees
Step-by-step explanation:
Complete question:
The measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle. The measure of the third angle is 11 more than the measure of the smallest angle. Find all three measures .
Let the smallest angle be x
Let the largest angle be y
Let the third angle be z
Since the sum of angle in the triangle is 180, then x+y+z = 180 .. 1
If the measure of the smallest angle of a triangle is 34 less than the measure of the largest angle of the triangle, this is expressed as;
x = y - 34
y = x + 34 ..... 2
If the measure of the third angle is 11 more than the measure of the smallest angle, this is expressed as;
z = x + 11 .... 3
Substitute 2 and 3 into 1;
x + (x+34) + (x+11) = 180
x+x+x+45 = 180
3x+45 = 180
3x = 180 - 45
3x = 135
x = 135/3
x = 45 degrees
From 2;
y = x+34
y = 45 + 34
y =79degrees
From3;
z = x+11
z = 45 + 11
z = 56degrees
Hence the measure of the angles are 45degrees, 79egrees and 56degrees
How much interest will you earn by leaving $500 in a savings account for 3 years with an interest rate of 1.5%?
*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
: 522.5$
:
First calculate yearly interest
500 x 0.015 = 7.5
7.5 x 3(for 3 years) = 22.5
Then add them together!
500 + 22.5 = 522.5
!
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*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆*――*☆**☆*――*☆*――*☆*――*☆
PLEASE HELP ME IN THIS I NEED HELP SO BAD!! IF YOU DINT KNOW THE ANSWER DONT TELL ME- PLEASE HURRY HELP ME (*꒦ິ⌓꒦ີ)
Answer:
18
Step-by-step explanation:
Take the 54. The cake reduces her size by 1/3 so you multiply 54*1/3 to get 18 inches or 1.5 feet tall. :)
PLEASE HELP ASAP
Two lines intersect in the figure.
What is the value of x?
Answer:
x=17°
Step-by-step explanation:
5x+6=91 (vertically opposite ∠'s equal)
5x= 91-6
5x= 85
x= 85/5
x= 17°
Ms. Sung budgets a maximum of $320 per month for groceries. She grocery shops 4 times a month. Which inequality can be used to find the possible values of x, the amount she can spend at the grocery store during each shopping trip
A. 4+x<320
B.4x < 320 (btw they have like a dark line under the < yk)
C.4x > 320 (they have a dark line in the bottom of >)
D. 4+ x > 320
An eagle eats about 1 bound of food in 1 day. A crow eats about 3 pounds of food in 2 days which bird eats more more food per day.
Answer:
The crow eats more food per day.
Step-by-step explanation:
eagle eats 1 pound per day.
crow eats 3 pounds/2 days -> 1.5 pounds per day
1.5 > 1
If I played at 2am and for my friend his time 8am so now if it 6pm for me now , what time is it for him? Hint For him will be Am
Answer:
12am
Step-by-step explanation:
Add 6 hrs to 6pm, you will get 12am
Answer: 12
Step-by-step explanation:
w3=24
Question 4 options:
w = 8
w = 72
w = 12
w = 6
Answer:
w=8
Step-by-step explanation:
i took the k12 test
2y +3<11
What is the largest value of y could be?
Answer:
Step-by-step explanation:
2y + 3<11 Subtract 3 from both sides
2y < 11 - 3
2y < 8 Divide by 2
2y/2 <8/2
y < 4
The question is very hard to answer. That's because the answer is very close to 4, but it is not 4.
For example 3.8 is a possible answer. Try it
2*3.8 + 3 < 11
7.6 + 3 < 11
10.6 < 11
But is that the largest value possible? No.
For example
y could be 3.99999999 Well maybe that could be the answer. No it isn't. Because, though very close to 11, it still cannot be 11. It might round to 11, but it does not equal 11.
I don't exactly know what you are expected to answer. I can only say that y cannot be 4, but it can be as close to 4 as you care to make it. If the question means what is the largest integer that y could be, then the answer is 3.
Which expressions are equivalent to - 6z +(-4.5) + 2.5z + 5y -3.5?
Select all that apply.
A. - 8 + 5y +3.52
B. - 3.5z + 5y - 8
C. - 8 + 5y +(-3.5z)
OD. 5y - 8 -3.52
E. 5y + (-3.52) - 4.5
Pls help
Step-by-step explanation:
babababababababbababavavabababababa
please help!!
Find the value of x.
Answer:
x = 4
Step-by-step explanation:
2(8x) = 64
x = 4
The expression (7-4i)-(3-12i) simplified is
Answer:
8i + 4
Step-by-step explanation:
Add/subtract like terms:
7 - 3
= 4
-4i - (-12i)
-4i + 12i
= 8i
Add these together:
8i + 4
So, the simplified expression is 8i + 4
Please help me with this.
Answer:
105
Step-by-step explanation:
The points (4, 1) and (x, -6) lie on the same line. If the slope of the line is 1, what is the value of x?
Answer:
x = -3
Step-by-step explanation:
using the slope formula y2 - y1/x2 - x1 = 1 so
-6 - 1 / x - 4 = 1, so -7/-7 = 1 so x has to be -3 to make the bottom = -7
All repeating decimals are irrational True or false
Answer:
True
Step-by-step explanation:
Answer: the answer is true sorry if its wrong
Step-by-step explanation:
have a nice day buddy
Which expression is equivalent to if no denominator equals zero
Answer:
B (1/x^2 - 4x + 3)
Step-by-step explanation:
You can first write the second equation as multiplication by multiplying by the reciprocal and then expand.
The result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]
Given the expression;
[tex]\frac{x+3}{x^2-2x-3} + \frac{x^2+2x-3}{x+1}[/tex]Factorize the quadratic function in the expression to have:
[tex]=\frac{x+3}{x^2-3x+x-3} \div \frac{x^2+3x-x-3}{x+1} \\=\frac{x+3}{x(x-3)+1(x-3)} \div \frac{x(x+3)-1(x+3)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \div \frac{(x+3)(x-1)}{x+1} \\=\frac{x+3}{(x-3)(x+1)} \times \frac{x+1}{(x+3)(x-1)} \\=\frac{1}{(x-3)(x-1)}[/tex]
Hence the result of the given division expression is [tex]\frac{1}{(x-3)(x-1)}[/tex]
Learn more on function here:
https://brainly.com/question/22340031
If an object is projected upward with an initial velocity of 64ft per second from ground level, then its height in feet t seconds after it is projected is a function defined by: h(t)= -16t^2 + 64t. how long after it is projected will it be 48 feet above the ground?
Answer:
not sure
Step-by-step explanation:
You randomly chose a marble from a har. The jar contains 3 red marbles, 10 blue marbles, 8 green marbles, and 4 yellow marbles. Which is the probability of choosing a blue marble?
A. 10/27
B. 2/5
C. 1/5
D.8/25
2x + 3 = -7 what is x
Answer: x=-5
Step-by-step explanation:
You would have to do the inverse to “undo” the equation.
So first you would do -7-3=-10
Then you would do -10/2=-5 to find x
my brother needs help with this !
Answer:
1. 20
2. 35
3. 20
4. 20
Step-by-step explanation:
Are u serious..... ඩඩඩඩඩඩඩ
Need help with Geometry please, angles.
Answer:
ΔDEF
Step-by-step explanation:
T ↔ D S ↔ E R ↔ F
ΔTSR is similar to ΔDEF
Can someone help me pleaseee. Alguien podría ayudarme porfavor
ilgram surveyed both a panel of Yale undergraduates and a panel of psychology professors before he conducted his original experiment. In these surveys, he found that __________.most people predicted that less than 1 percent of participants would go to 450 voltsmost people predicted that less than 10 percent of participants would go to 450 voltsmost people predicted that a majority of participants would go to 450 voltsstudents underestimated the percentage who would go all the way to 450 volts, while professors' estimates were fairly accurate
Answer:
The answer is "Choice A"
Step-by-step explanation:
Please find the numbering of the question in the attached file.
Before they performed his initial experiment, Milgram examined both a Yale undergraduate panel as well as a psychology panel. In all of these polls, the majority of the people expected which less than 1 percent will go to 450 volts, that's why Milgram subsequently surveyed the respondents and found 84% happy they had taken part, but only 1% regretted their participation.
One seventh of a number is 12.
What is the number?
Answer:
84
Step-by-step explanation:
12 x 7 = 84
Answer:
84
Step-by-step explanation:
12÷ 1/7=84
Find the area of the following
triangle:
5.7 cm
4 cm
13 cm
A= [?] cm
Enter the exact answer as a decimal.
The final statement is: Area of triangle is equal to 83.65 cm²
What is the Area of a Triangle?The area of a triangle is defined as the total region that is enclosed by the three sides of any particular triangle. Basically, it is equal to half of the base times height, i.e. A = 1/2 × b × h.
Given here: The dimensions of the triangle as 5.7 cm ,4 cm, 13 cm
Now the perimeter of the triangle is equal to s=5.7+4+13=22.7 cm
Therefore the area = [tex]\sqrt{22.7(22.7-5.7).(22.7-4).(22.7-13)}[/tex]
=[tex]\sqrt{6998.401}[/tex]
=83.65 cm²
Hence, The area of the triangle is equal to 53.65 cm²
Learn more about triangles here:
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A
B
C
D
Help please
how long does it take to go and come from a kroger because my dad went to go get baby formula for me and im now 13 should i be worried orrr....