Answer:
when x=0 y=7
when x=-1 y= 6
Step-by-step explanation:
to find x & y we can make the two x expressions equal to each other
x²+2x+7=7+x (we are going to set it equal to zero to find the roots/the x value)
x²+x=0
x(x+1)=0
x=0 x=-1 (two solutions for x)
now we just plug in these values and find the y values
when x=0 y=7
when x=-1 y= 6
What is the area of a circle with a radius of 1 foot?
Answer:
C. π ft ²
Step-by-step explanation:
:)
Answer:
c. 3.14^2
Step-by-step explanation:
A= pi × R^2
have a good day
What is 27 to the 19th power
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Answer:
about 1.57×10^27 (see below for the exact value)
Step-by-step explanation:
1,570,042,899,082,081,611,640,534,563
__
Most calculators do not carry enough internal digits to compute the exact value of this number. Fortunately, there are "infinite precision" math packages around that will find this value for you.
An initial deposit of $900 earns 13% interest, compounded monthly. How much will be in the account in 7 1/2
years? (Round
Answer:
$1497.04
Step-by-step explanation:
Simplify the following expression. (3 + 8x) + 7x 3 +15 18 + x 11x+7 18 x
Answer:
3 plus 15x should be the correct answer.
Step-by-step explanation:
hope this helped
Answer:
3+8x+7x3+1518+x11x+718x
=3+8x+7x3+1518+x12+718x
Step-by-step explanation:
Can someone help me with number 9 pllsssss I’m confused
Answer:
C
Step-by-step explanation:
[tex]x {}^{2} - 2ax + a {}^{2} - b = 0[/tex]
Answer:
The answer is the last line.
Step-by-step explanation:
Use the quadratic formula
a = 1
b = -a
c = a^2 - b
x = -b +/- sqrt(b^2 - 4ac)
=================
2a
x = a +/- sqrt(a^2 - 4(1)*(a^2 - b)
========================
2
x = a +/- sqrt(a^2 - 4a^ + 4b)
=====================
2
x = a +/- sqrt(4b - 3a^2)
===================
2
Determine the degree of the polynomial 49xy+34y−72z.
The polynomial 49 · x · y + 34 · y - 72 · z has three variables (x, y, z) and each of these variables has a degree of 1.
How to determine the degree of a polynomial
Variables and degrees are the most important features in polynomials. A variable is a letter that represents at least one value of an expression and the degree of the variable is the maximum number of the exponent associated to the variable. According to the statement, the polynomial has three variables (x, y, z), each of them has an degree of 1, that is:
grade (x) = 1, grade (y) = 1, grade (z) = 1
To learn more on degree of polynomials: https://brainly.com/question/12850541
#SPJ1
900 students attend Ridge wood Junior High School. 25% of students bring their lunch to school everyday. How many students brought their lunch to school on Thursday
Answer:
225 students
Step-by-step explanation:
Total number of students = 900 students
percent that bring lunch to school everyday = 25%
Number of student that bring lunch to school = 25% of 900
Number of student that bring lunch to school = 0.25 * 900
Number of student that bring lunch to school = 225
Hence 225 students bring lunch to school everyday
Find the volume of the rectangular prism.
Volume =
_in?
7 in.
10 in.
7 in.
Answer:
490 in.^3
Step-by-step explanation:
volume = length * width * height
volume = 7 in. * 10 in. * 7 in.
volume = 490 in.^3
Volume = edge^(3).
Volume = (7)(10)(7) inches
Volume = 490in^3
Without graphing the equations, decide whether the system has one solution, no solution, or infinitely many solutions.
2y = x - 7
5x - 4y = 14
How many solutions does the system have?
A. Infinitely many solutions
B. One solution
C. No solution
What is the value of m in the following equation? 'm = 8 * 5 points
f) 2(x +3) = 8 - 3 (x-4)
Answer: x = 14/5. Because first we Distribute and get 2x + 6 = 8 - 3(x-4) then, we Distribute it again 2x + 6 = 8 - 3x + 12 then we Add the numbers and get 14/5
Answer:
x = 2.8Step-by-step explanation:
2(x +3) = 8 - 3 (x-4)
=> 2x + 6 = 8 - 3x + 12
=> 2x + 3x = 8 - 6 + 12
=> 5x = 14
[tex] = > x = \frac{14}{5} [/tex]
=> x = 2.8 (Ans)
1.
Mr Rankhakile receives a statement from the bank every month with regards to the
vehicle he purchased.
The cash price of the vehicle was R151 140 but since Mr Rankhakile didn't have
enough money in cash, he bought the car on hire-npurchase. An example of one of his
statements is given in ANNEXURE A. Study ANNEXURE A and answer the
questions that follow. Write down the street name used on this statement
-#(1(1+#&$:3:+343;2()1-^|•{`}÷~^¢™¢
Please help me ill mark brainlyest if correct
Answer:
50m²
Explanation:
first, we have to find the length and width of the backyard. since 4cm represents 5m, we know that the real width of the backyard is 5m.
as for the length of the backyard, 8cm is double of 4cm so we can also double 5m to get 10m.
now, we can find the area by taking 5m × 10m = 50m².
i hope this helps! :D
I arrive at a bus stop at a time that is normally distributed with mean 08:00 and SD 2 minutes. My bus arrives at the stop at an independent normally distributed time with mean 08:05 a.m. and SD 3 minutes. The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus
Answer:
0.0485 = 4.85% probability that you miss the bus.
Step-by-step explanation:
Normal Probability Distribution:
Problems of normal distributions can be solved using the z-score formula.
In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.
When two normal distributions are subtracted, the mean is the subtraction of the means, while the standard deviation is the square root of the sum of the variances.
In this question:
We have to find the distribution for the difference in times between when you arrive and when the bus arrives.
You arrive at 8, so we consider the mean 0. The bus arrives at 8:05, 5 minutes later, so we consider mean 5. This means that the mean is:
[tex]\mu = 0 - 5 = -5[/tex]
The standard deviation of your arrival time is of 2 minutes, while for the bus it is 3. So
[tex]\sigma = \sqrt{2^2 + 3^2} = \sqrt{13}[/tex]
The bus remains at the stop for 1 minute and then leaves. What is the chance that I miss the bus?
You will miss the bus if the difference is larger than 1. So this probability is 1 subtracted by the pvalue of Z when X = 1.
[tex]Z = \frac{X - \mu}{\sigma}[/tex]
[tex]Z = \frac{1 - (-5)}{\sqrt{13}}[/tex]
[tex]Z = \frac{6}{\sqrt{13}}[/tex]
[tex]Z = 1.66[/tex]
[tex]Z = 1.66[/tex] has a pvalue of 0.9515
1 - 0.9515 = 0.0485
0.0485 = 4.85% probability that you miss the bus.
Solve the Linear-Quadratic System of Inequalities. Shade the solution on the graph provided.
y > x^2 - 1
-1/2x + 3 < y
Answer:
We have the system:
y > x^2 - 1
y < (-1/2)*x + 3
To find the solutions of this set we need to graph the solutions range of both sets, and see the intersection between these solution ranges.
How we do it?
Start with the first one.
First, we graph the equation:
y = x^2 - 1
Now because we are using the symbol ">" means that y is smaller than the thing at the right, then the graph of the equation will be with a dashed line (which means that the points on the line are not solutions) and we will shade all the region above the line
For the other inequality we do the same:
First we graph:
y = (-1/2)*x + 3
And because we have the symbol "<" we again use a dashed line, but this time we will shade all the region below the line.
Once we shaded both regions, the region where we have both shades will be the region of solutions for the system of inequalities.
You can see the graph below.
Carrie added the points from all of her tests in social studies. She never got lower than a 90 on any test. What other information does she need to use to find her average in the class?
her highest test score
her median test score
other student averages
number of tests
Answer:
median
Step-by-step explanation:
Answer:
it would be C
Step-by-step explanation:
If you want to find the average you would have to find other people's test scores, so it can only be C.
h - c + what = h
help help
Answer:
h - c + c = h
Step-by-step explanation:
Answer:
c
Step-by-step explanation:
If you have H - C + ____ = H you would need something to cancel out C and I believe that would just be a positive C
What is the first step to solve the following system of equations using substitution?
ſ 3.x+y= 15
5x – 3y = 11
Answer:
multiply 3 to the second eqn
Select all the conditions for which it is possible to construct a triangle. A triangle with side lengths 4 cm, 5 cm, and 15 cm A triangle with side lengths 5 cm, 5 cm. and 10 cm. A triangle with side lengths 3 cm. 5 cm. and 7 cm A triangle with side lengths 4 cm, 5 cm. and 6 cm.
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Answer:
A triangle with side lengths 3 cm. 5 cm. and 7 cm A triangle with side lengths 4 cm, 5 cm. and 6 cm.Step-by-step explanation:
The sum of the short two sides must exceed the length of the longest side. That is not the case for lengths {4, 5, 15} or {5, 5, 10}.
Triangles can be formed from {3, 5, 7} and {4, 5, 6}.
i will give BRAINLIEST!!! middle school math...
On a coordinate grid, point is at (2, 1) and point Ris at (-6, -5) Points Q and S are a reflection of both points across the x-axis. What are the coordinates of Q and S? O Q(2, -1), S(-6,5) O Q(-2, 1), S(6,-5) O Q(-2, -1), S(6,5) O Q(-2, 1), S(-6, 5)
Answer:
Solution given:
A(x,y))----reflection about x axis--->A'(x,-y)
P(2,1)---reflection about x axis----->Q(2,-1)
R(-6,-5)----reflection about x axis-->S(-6,5)
Answer:
A. Q(2, -1), S(-6,5)Step-by-step explanation:
Reflection rule across the x-axis:
(x, y) → (x, -y)P(2, 1) → Q(2, -1)R(-6, -5) → S(-6, 5)Correct choice is A
Will give brainlst
Have a nice day
Answer:
answer for the 9 question
Help ASAP plzzzzzzzzz
Answer:
The answer is D
Step-by-step explanation:
It should be the only one to fit the sequence
A classic car is now selling for $2000 less than two times its original price. If the selling price is now $20,000, what was the car's original price?
Answer:
$11,000
Step-by-step explanation:
Because,
20,000 + 2000 = 22,000
22,000 / 2 = 11,000
Answer:
11000
Step-by-step explanation:
Which expression is equivalent to 16+2·36?
f 2^4 + 2^3 ⋅ 3^2
g 2^3 + 2^3 ⋅ 3^2
h 2^4 + 2^2 ⋅ 3^2
j 2^3 + 2^2 ⋅ 3^3
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Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
16 +2·36 = 16 +2·4·9 = 16 +8·9
= 2^4 + 2^3 · 3^2 . . . . . matches choice F
_____
Since you're familiar with your multiplication tables, you know ...
4 = 2·2
8 = 2·4 = 2·2·2 = 2^3
16 = 2·8 = 2·2·2·2 = 2^4
9 = 3·3 = 3^2
36 = 4·9
The exponent signifies repeated multiplication.
Answer:
f 2^4 + 2^3 ⋅ 3^2
Step-by-step explanation:
how do you prove each of the following theorems using either a two-column paragraph or flow chart proof?
triangle sum theorem-
triangle inequality theorem-
isosceles triangle theorem-
converse of the isosceles triangle theorem-
midsegment of a triangle theorem-
concurrency of medians theorem-
Answer:
Step-by-step explanation:
1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°
2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side
3) Isosceles triangle theorem states that the angles opposite the equal sides of an isosceles triangle are congruent
4) Converse of the Isosceles theorem states that the sides opposite the equal angles of an isosceles triangle are congruent
5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to
6) Concurrency of medians theorem states that the medians of a triangle intersect at a point within the triangle
Step-by-step explanation:
1) The Triangle Sum Theorem states that the sum of the angles in a triangle = 180°
Proof: To draw a triangle ABC starting from the point A we move 180° - ∠A to get to ∠B
From ∠B we turn 180° - ∠B to get to ∠C and from ∠C we turn 180° - ∠C to get back to A we therefore have turned 360° to get to A which gives;
180° - ∠A + 180° - ∠B + 180° - ∠C = 360°
Hence;
- ∠A - ∠B - ∠C = 360° - (180°+ 180°+ 180°) = -180°
-(∠A + ∠B + ∠C) = -180°
∴ ∠A + ∠B + ∠C = 180°
2) The triangle inequality theorem states that the sum of any two sides of a triangle is larger than the third side
Proof: Given ΔABC with height h from B to D along AC, then
AC = AB×cos∠A + CB×cos∠C
Since ∠A and ∠C are < 90 the cos∠A and cos∠C are < 1
∴ AC < AB + CB
3) Isosceles triangle theorem
Where we have an isosceles triangle ΔABC with AB = CB, we have by sine rule;
Therefore;
sin(C) = sin(A) hence ∠A = ∠C
4) Converse of the Isosceles theorem
Where we have an isosceles triangle ΔABC with ∠A = ∠C, we have by sine rule;
Therefore;
sin(C) = sin(A) hence AB = CB
5) Midsegment of a triangle theorem states that the midsegment of two sides of a triangle is equal to half of the side it is parallel to
Given triangle ABC with midsegment at DF between BA and BC respectively, we have;
in ΔABC and ΔADF
∠A ≅ ∠A
BA = 2 × DA, BC = 2 × FA
Hence;
ΔABC ~ ΔADF (SAS similarity)
Therefore,
BA/DA = BC/FA = DF/AC = 2
Hence AC = 2×DF
6) Concurrency of Medians Theorem
By Ceva's theorem we have that the point of intersection of the segments from the angles in ΔABC is concurrent when the result of multiplying ratio the ratios of the segment formed on each of the triangle = 1
Since the medians bisect the segment AB into AZ + ZB
BC into BX + XB
AC into AY + YC
Where:
AZ = ZB
BX = XB
AY = YC
We have;
AZ/ZB = BX/XB = AY/YC = 1
∴ AZ/ZB × BX/XB × AY/YC = 1 and the median segments AX, BY, and CZ are concurrent (meet at point within the triangle).
PLZ MARK ME BRAINLY
Please help immediately!!!
Answer:
x^2+y^2=5
25x^2+25y^2=1
x^2+y^2=0.25
x^×+y^2=0.0025
NEED HELP ASAP PLEASE PLEASE PLEASE
Answer:
tanθ=1.17
Step-by-step explanation:
please see the attachment below
PLS HELP I NEED THIS IN 2 HOURS PLS DO NOT GIVE ME A LINK FOR AN ANSWER
A parallelogram-shaped window has an area of 18 1/3 square feet. The height of the window is 3 feet. What is the length of the base of the window?
Answer:
The formula for the area of a parallelogram is base x height.
base x height = area
So, I will form an equation. b (base) x 3 ft (height) = 18 1/3
Next divide 3 from 18 1/3, so 18 1/3 divided by 3. This equals1 6 1/9
To check: 6 1/9 x 3 = 18.3333333333 or 18 1/3
Step-by-step explanation:
What is the radius of the button? 26 millimeters
Answer:
13
Step-by-step explanation:
Answer:
13
Step-by-step explanation:
hi lol Idek anyways tell me if its wrong