What does it mean if (3, 2) is a solution of
{
y = x - 1
y = -x + 5
?
(x,y) = (3,2)
y = x - 1
2 = 3 - 1
2 = 2
y = -x + 5
2 = -3 + 5
2 = 2
If (3, 2) is a solution of the system y = x - 1 and y = - x + 5 then the ordered pair (3, 2) satisfies both equations simultaneously.
What is the graphical solution of a system of equations?Graphical solutions of a system of equations are way of finding the intersection points of all the equations given.
A system with two or more than two equations has a solution only when they have a common intersection point.
Given, The system of equation y = x - 1 and y = - x + 5 has a
solution (3, 2).
If the ordered pair (3, 2) is a solution of both equations this implies that this ordered pair satisfies both equations simultaneously.
For,
y = x - 1.
At, x = 3,
y = 3 - 1
y = 2 (satisfied).
For,
y = - x + 5.
At, x = 3,
y - 3 + 2.
= 2 (satisfied).
learn more about the system of equations here :
https://brainly.com/question/19549073
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Use the coordinate plane. Identity the ordered pair
that names each point.
PLEASE ANSWER THIS IS URGENT
Answer:
A= (-1.5, 1)
B= (0.5, -2)
C= (-1, -1.5)
D= (1, 1.5)
Ms. Trevino has 7 1/2 yards of string, She needs to cut them into strips, and each strip needs to be 1 1/2 yards in length. How many strips of string can she cut with 7 1/2 yards?
Answer:
[tex]N_t=6.455\ yards[/tex]
Step-by-step explanation:
From the question we are told that:
Total String [tex]N=71/2[/tex]
Strip size [tex]N_s=11/2[/tex]
Generally the equation for Total Number of strip cut [tex]N_t[/tex] is mathematically given by
[tex]N_t=\frac{N}{N_s}[/tex]
Therefore the strips of string can she cut with 7 1/2 yards is Given as
[tex]N_t=\frac{71/2}{11/2}[/tex]
[tex]N_t=\frac{71}{2}*\frac{2}{11}[/tex]
[tex]N_t=\frac{71}{11}[/tex]
[tex]N_t=6.455\ yards[/tex]
Which of the following is true about a pattern with the rule "Multiply by 2 and then add 1"
and a starting number of 1?
Answer:
b
Step-by-step explanation:
Answer: B
Step-by-step explanation: I think hope this helps
This pattern follows the rule multiply by 2. What other feature do you observe? 4, 8, 16, 32, 64, 128
Answer:
rule multiply of 4
Step-by-step explanation:
beacause 4×1=4
4×2=8
4×4=16
4×8=32
4×16=64
4×32=128
that's all I know
NO LINKS. NO FILES. I will report you if you answer with either of these. The question is attached below:
Answer:
the answer for this question is C
Step-by-step explanation:
base radius = 0.8
Height = 3.5
Volume of a cone =
[tex] \frac{1}{3} \pi {r}^{2} h[/tex]
V=1/3 x 3.14 x 0.8^2 x 3.5
V=2.3445 in^3
V= 2.34 in^3
If the mean of this distribution is 13.7, which could NOT be the median
A.9
B.14
C.16
D.18
Answer:
A
Step-by-step explanation:
Mark as brainllest
Answer:
A
Step-by-step explanation:
give fitzroywilliamsjr6 Brainllest plz
Someone is the age of 550 more than (97x90)+(2+0)+(1x4)+(9+14). How old is he?
Answer:
9,309
Step-by-step explanation:
550 + (8,730) + 2 + 4 + (23)
= 550 + 8,730 + 2 + 4 + 23
= 9,309
A silo is a composite of a cylindrical tower with a cone for a roof. What is the volume of the silo if the radius of the base is 30 feet, the height of the roof is 12 feet, and the height of the entire silo is 60 feet?
147,026.5 ft
135,716.8 ft
180,955.7 ft
169,646.0 ft
Answer:
The volume of the silo is approximately 147,026.6 ft.³.
The most correct option is 147,026.5 ft.³
Step-by-step explanation:
The given dimensions of the silo are;
The shape of the silo = Composite figure of tower and roof
The shape of the tower = Cylindrical
The shape of the roof = Cone
The radius of the base of the silo, 'r' = 30 feet
The height of the cone roof of the silo, h₁ = 12 feet
The height of the entire silo = 60 feet
For the cone roof, we have;
The volume of a cone, V = 1/3 × Base area × Height
The volume of the cone roof, V₁ = 1/3×π·r² × h₁
∴ V₁ = 1/3 × π × (30 ft.)² × 12 ft. ≈ 11,309.7336 ft.³
For the cylindrical tower, we have;
The height of the entire silo = The height of the tower + The height of the roof
∴ The height of the tower = The height of the entire silo - The height of the roof
The height of the tower, h₂ = 60 ft. - 12 ft. = 48 ft.
The volume of a cylinder = Area of base × Height
The volume of the cylindrical tower, V₂ = π·r² × h₂
∴ V₂ = π × (30 ft.)² × 48 ft. ≈ 135,716.803 ft.³
The volume of the cylindrical tower, V₂ ≈ 135,716.803 ft.³
The volume of the (entire) silo, Vₙ = V₁ + V₂
∴ Vₙ = 11,309.7336 ft.³ + 135,716.803 ft.³ = 147,026.573 ft.³
The volume of the (entire) silo, Vₙ ≈ 147,026.6 ft.³.
Answer:
147,026.5 ft.³
Step-by-step explanation:
what does x - (-3) = 17 equal?
Answer:
x = 14
Step-by-step explanation:
two negatives become a positive so the equation is now
x + 3 = 17
subtract 3 from both sides, giving you 14
If you answer I will mark you Brainliest!
Answer:
divide the figure into two parts.
area of triangle = 1/2×base×height
area of triangle = 1/2×3×3
area pf triangle = 4.5 units²
area of square = side²
area of square = 3²
area of square = 9unit²
Answer:
The figure is made up of a square and a triangle.
We will find both of their areas separately and then combining them will give us the required area.
Area of the triangle : ½ × base × height
= ½ × 3 × 3
= ½ × 9
= 4.5 units²
Area of the square : (side)²
= 3²
= 9 units²
Now, required area = (4.5 + 9) units²
= 13.5 units²
7.4g of sugar is needed for every cake made. How much sugar is needed for 7 cakes?
Answer:
Sugar for 1 cake = 7.4 g
Sugar for 7 cakes = 7.4 × 7 = 51.8 g.
can someone please help me
Una empresa de elaboración de helados es capaz de producir 800 litros de helado de tres leches, con 8 máquinas en 42 minutos. Si fallaran dos de las máquinas, pero debieran mantener la producción de helado ¿Cuánto tiempo tardarían?
Answer:
I dont understand spanish!
Step-by-step explanation:
What is the name of the property shown below?
(9 x 2) + (9 x 10) =
9x (2 + 10)
distributive
commutative
associative
identity
Answer:
108 associative
Step-by-step explanation:
Ms. Thompson is baking bread. The recipe calls for 6.5 cups of flour. She has already put in 2 cups.
How many more cups does she need to put in?
Answer:
4.5 cups flour
Step-by-step explanation:
6.5 - 2 = 4.5
The area of the figure below is cm2. Round to the nearest
hundredth where necessary.
30 cm
30 cm
26 cm
Answer:
sorry the question is not clear enough
Various types of doctors attended a large medical conference. Someone leading a session asked the 30
doctors in attendance how many years of experience they each had. The 15 dermatologists at the session
had an average of 8 years of experience.
For which population is 8 years a legitimate estimate of the average experience?
Choose 1 answer:
The dermatologists at that session only
B
All doctors at that session only
С
All dermatologists at that conference only
All doctors at that conference only
Answer: The dermatologists at that session only
Step-by-step explanation:
It was on a Khan Academy practice.
HELP! I NEED HELP ASAP
Step-by-step explanation:
yes the 10' wave is the outlier
Answer:
The correct option is .The 10 foot wave is an outlier.
Step-by-step explanation:
What is the volume of the cargo area of the moving truck?
A. 696 cubic feet
B. 756 cubic feet
C. 824 cubic feet
D. 888 cubic feet
Answer:
888sq. ft
Step-by-step explanation:
Volume of a rectangular prism = length * width * height
For the given diagram
area of the truck = area of the bigger + area of smaller prism
area of the bigger prism = 6 * 9 * 16
area of the bigger prism = 864sq. ft
Area of smaller prism = 2 * 2 * 6
Area of smaller prism = 24 sq. ft
Area of the figure = 864 + 24
Area of the figure = 888sq. ft
G. 9−7+{−2+3−[4−2+(3+2)−7]+8} h. – {- [ (14 - 7) - (32 - 41)]} i. – [(-8 + 3) + (- 21 – 12)] j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } k. (9 + 7 – 2 + 4) – ( 9 -12 )
Answer:
g. 9−7+{−2+3−[4−2+(3+2)−7]+8} = 11
h. – {- [ (14 - 7) - (32 - 41)]} = + 16
i. – [(-8 + 3) + (- 21 – 12)] = + 38
j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 } = 506
k. (9 + 7 – 2 + 4) – ( 9 -12 ) =21
Step-by-step explanation:
These questions are solved by solving the small brackets, then square brackets and then the curly brackets.
g. 9−7+{−2+3−[4−2+(3+2)−7]+8}
= 9−7+{−2+3−[4−2+(5)−7]+8} Solving inner small brackets
= 9−7+{−2+3−[9−2−7]+8} Solving outer square brackets
= 9−7+{−2+3−0 +8} Solving curly brackets
=9−7+{9} Adding like terms ( adding positive terms)
= 18-7
= 11
h. – {- [ (14 - 7) - (32 - 41)]}
= – {- [ (14 - 7) - (-9)]} Solving inner small brackets
= – {- [ (7) +9]} Solving inner small brackets
= – {- [ 16 ]} Solving outer square brackets
= – {- 16 } Solving curly brackets
= + 16 (-*-= +)
i. – [(-8 + 3) + (- 21 – 12)]
= – [(-8 + 3) + (- 33)] Solving inner small brackets
= – [(-5 - 33)] Solving inner small brackets
=– [( - 38 )] Solving outer square brackets
= + 38 (-*-= +)
j. 500 – {( 6 – 18 + 4 + 3 + 16 - 10 – 2) – 5 }
= 500 – {( 6 + 4 + 3 + 16 – 18 -10 – 2) – 5 } Solving inner small brackets
= 500 – {( 29 – 30) – 5 } Solving inner small brackets
= 500 – {( – 1) – 5 } Solving inner small brackets
= 500 – { – 6} Solving curly brackets
= 500 + 6 (-*-= +)
= 506
k. (9 + 7 – 2 + 4) – ( 9 -12 )
= (9 + 7 + 4– 2 ) – ( -3 ) Solving inner small brackets
= (20 – 2 ) – ( -3 ) Solving inner small brackets
= (18 ) – ( -3 ) (-*-= +)
= 18 +3
=21
Solve the following system by graphing.
y = x^2+ 3x + 5
y = -x + 2
Answer:
[tex]y = ( - 3)^{2} + 3 \times ( - 3) + 5 \\ y = 5 \\ (x.y) = ( - 3.5)[/tex]
brainyliest pls
Alan types at a rate of 30 words per minute. How many words does he type in 3 minutes? words
Answer:
90 words
Step-by-step explanation:
Based on the information we have already, we can assume Alan types the same amount of words per minute meaning, all we have to do here is multiply.
30 words per minute x 3 minutes = 90 words
Suppose that the delivery times of a nationwide pizza chain are normally distributed with an unknown mean and standard deviation. The delivery times of 26 randomly sampled pizza orders are used to estimate the mean delivery time for the population. What t-score should be used to find the 95% confidence interval for the population mean?
Answer:
The t-score to be used to find the 95% confidence interval for the population mean is;
[tex]t_{(0.025, \, 25)} = 2.06[/tex]
Step-by-step explanation:
The t-score which is representative of a point with n - k (n, and k represents the sample size and the number of groups in the test respectively) degrees of freedom from the Student's T-distribution is a standard test statistic obtained by applying a T-test
Therefore, the t-score used for a confidence interval is obtained by by making use of the the following information;
The number of degrees of freedom = n - k
The confidence level in the confidence interval
The parameters given in the question are;
The number of pizza orders in the sample, n = The sample size = 26
The number of samples used in the estimate, k = 1 group of 26 randomly sampled pizza
The level of confidence (the probability) that the interval contains the population mean = 95%
Therefore, the significance level, α = 1 - 95% = 1 - 95/100 = 0.05
∴ The α-level for the upper and lower limit of the interval are α/2 = 0.05/2 = 0.025 long
The degrees of freedom, df = n - k
∴ For the estimation, DF = 26 - 1 = 25
The t-statistic is therefore the t-value at the intersection of the row for DF = 25 and the 0.025 (one-tail) column (0.025 two-tail column) which gives;
[tex]t_{(\alpha /2, \, DF)} = t_{(0.025, \, 25)} = 2.06[/tex]
-1/2(-3y+10) combing like terms
Answer:
3/2y - 5
Step-by-step explanation:
Need help with this question asap please please
Answer:
M< D = 105⁰
Step-by-step explanation:
the sum of the opposite angles of a cyclic quadrilateral is 180⁰
hence, <ADC + <ABC = 180⁰
<ADC + 75⁰ = 180⁰
<ADC = 180⁰ - 75⁰
< ADC= 105⁰
Geometry Transversals simple answer needed
Answer:
C) 70
Step-by-step explanation:
m<1 = m<3 because of vertical angles
Since <3 = 70,
<1 also equals 70
Not sure how to do this one. Please help asap.
Answer:
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Which is the largest interval over which the function in the table is increasing?
Answer:
Solution given:
y=-1/2 x²
for
f(x)=-1/2 x².
differentiating each term with respect to x
f'(x)=-x
when
x=-4
f'(-4)=4>0 increasing
when
x=-2
f'(-2)=2 >0 increasing
when x=0
f'(0)=0 stationary point.
other points are decreasing
so
largest interval of increasing is
A.X<-2
Which inequality is represented by a number increased by 5 is less than 7.
Answer:
x + 5 < 7
Step-by-step explanation: