Answer:
C
Step-by-step explanation:
Given the 2 equations
3x + 4y = 8 → (1)
y - 5x = 2 ← rewrite as
- 5x + y = 2 → (2)
Multiplying (2) by - 4 and adding to (1) will eliminate the y- term
20x - 4y = - 8 → (3)
Add (1) and (3) term by term to eliminate y
23x + 0 = 0
23x = 0 , then
x = 0
Substitute x = 0 into either of the 2 equations and solve for y
Substituting into (1)
3(0) + 4y = 8
4y = 8 ( divide both sides by 4 )
y = 2
solution is (0, 2 )
That is the lines intersect once at (0, 2 )
For 3x + 4y = 8
X-intercepts: (8/3, 0
y-intercepts: (0,2)
____________________
For y- 5x = 2
X-intercepts: (-2/5, 0)
y-intercepts: (0,2)
_______________________________
Your answer is C
_________________
To find the X-intercept, substitute in 0 for y and solve for x. To find y-intercept,substitute in 0 for x and solve y.
Hope this helps
Jay received a $34 gift card for a local coffee shop. Every day he spends $2 for a cup of coffee.
Write and equation that models the balance of his gift card, Y. as a function of time in day, x.
Answer:
y=34x-2
Step-by-step explanation:
The answer is that because everyday he loses 2 dollars and has a 34 gift card
please help me this is due today
show ur work
Answer:
3+(-5)-7+6=3-5-7+6=-3
A relative asked her aunt that lives in a certain part of the US to send her some money for food expenses in Canada. Her aunt sent her US $5,000. How much would that amount be in Canadian currency? USD $1.00 = CAN $1.25
a. $7000
b. $3000
c. $4000
d. $6250
Answer:
$6250
Step-by-step explanation:
if im correct plz can i get a brainliest
Jhon jogged 5 Miles on Thursday 6 to 50 miles on Friday and 3.4 miles on Saturday how many miles does Jhon have to run in order to run 70 miles for the week _ per week.
Answer:
8 miles
Step-by-step explanation:
If we divide 70 by 50, we get the unit rate for the ratio 70 minutes for every 50 miles.
70÷50=1.4
So the runner is running 1.4 minutes per mile. We can multiply this unit rate by the number of miles:
1.4 minutes mile × 5 miles = 7 minutes
Thus it will take her 7 minutes to run 5 miles at this pace.
If it takes her 7 minutes to run 5 miles, it will take her 7÷5 = 1.4 minutes to run 6÷3=2 miles at the same pace.
If it takes her 1.4 minutes to run 5 miles, it will take her 1.4×5=7 minutes to run 4×2=8 miles at the same pace. Since 60 minutes is 1 hour, she is running at a speed of 8 miles per hour.
We found her pace in minutes per miles in part (a).
The diagram shows a kite PGRF inside rhombus PQRS.
Angle PGQ =35, angle PFS=35, angle PQG=120 and angle PSF= 120
Picture attached:
What is the size of angle FPG?
The product of two consecutive square numbers is 900.
Work out the two numbers.
Answer:
25&36
Step-by-step explanation:
25 is a square no and so is 36 and there product is 900. They are also consecutive.
Just assemble the square nos from the least i.e 4 and try solving as asked to see if it gives 900.
Thus u'll land on 25&36
Answer this question to get marked as brainliest!!!!
Answer:
62.8319 ≈ 62.8 inches
Step-by-step explanation:
[tex]c = 2\pi *r\\r = 10 in\\\\c =(2\pi )*(10)\\= 62.8318530718\\62.8[/tex]
Period:
Quick Review
Fill in the blanks:
1. A
is a number, variable, or product of a number and variables.
Answer:
monomial
Step-by-step explanation:
A monomial is a number, a variable, or a product of numbers and variables with whole number exponents. The degree of a monomial is the sum of the exponents of the variables. A constant has degree 0.
pls mark as brainliest
If sin A = 3/5 and tan B = 15/8 and angles A and B are in Quadrant I, find the value of tan(A + B)
Answer:
[tex] \tan (A +B) = - 6\frac{6}{13} [/tex]
Step-by-step explanation:
[tex] \sin \: A = \frac{3}{5}...(given) \\ \\ \because\cos A = \pm \sqrt{1 - { \sin }^{2}\: A } \\ \\ \ \therefore\cos A = \pm \sqrt{1 - \bigg( \frac{3}{5} \bigg) ^{2}} \\ \\ \ \therefore\cos A = \pm \sqrt{1 - \frac{9}{25}} \\ \\ \therefore\cos A = \pm \sqrt{ \frac{25 - 9}{25} } \\ \\ \therefore\cos A = \pm \sqrt{ \frac{16}{25}} \\ \\ \therefore\cos A = \pm { \frac{4}{5}} \\ \\ \because \: \angle A \: is \: in \: quadrant \: I \\ \\ \therefore \: \cos A = { \frac{4}{5}} \\ \\ \tan \: A = \frac{ \sin \: A}{\cos \: A} \\ \\ \tan \: A = \frac{ \frac{3}{5} }{ \frac{4}{5} } \\ \\ \tan \: A = \frac{3}{4} \\ \\ \because \tan (A +B) = \frac{ \tan A + \tan B }{1 - \tan A \tan B } \\ \\ \therefore \tan (A +B) = \frac{ \frac{3}{4} + \frac{15}{8} }{1 - \frac{3}{4} \times \frac{15}{8} } \\ \\ \therefore \tan (A +B) = \frac{ \frac{6}{8} + \frac{15}{8} }{1 - \frac{45}{32}} \\ \\ \therefore \tan (A +B) = \frac{ \frac{21}{8} }{\frac{32 - 45}{32}} \\ \\ \therefore \tan (A +B) = \frac{ \frac{21}{8} }{\frac{ - 13}{32}} \\ \\ \therefore \tan (A +B) = \frac{21}{8} \times \bigg(- \frac{32}{13 } \bigg)\\ \\ \therefore \tan (A +B) = - \frac{84}{13} \\ \\ \therefore \tan (A +B) = - 6\frac{6}{13} [/tex]
Answer:
c
Step-by-step explanation:
plato
Which expressions have a value of 15 when s=15? A: s/3+10 B: 15,521÷s C: (3,015÷s)-186 D: 20s^2÷30 E: 2s^2/5-25
Answer:
C. (3,015÷s)-186
Step-by-step explanation:
Sana makatulong
What type of polynomial is this?
Answer: This is a binomial.
Step-by-step explanation:
It is so because it consists of 2 terms each side, respectively, 7x, y and 2x, y.
Answer:
This is a binomial.
Step-by-step explanation:
Translate this sentence into an equation.
The sum of 14 and holly's age is 55.
Use the variable h to represent holly's age.
Answer:
14 + h = 55
Step-by-step explanation:
-0.216=
As a decimal
-0.216 is a decimal itself I guess?
What is one factor of 5x^2+13x-6 with work please.
Answer:
Factor: 5x^2+13x−6
5x^2+13x−6
=(5x−2)(x+3)
Brainliest please?There are 12 doughnuts in each box. Write a two-variable equation for the total number of doughnuts d that are in b boxes. Start the equation with d=
What is the perimeter of the larger square?
Answer:
32mm
Step-by-step explanation:
8*4=32
Answer:
32 mm
Step-by-step explanation:
To find the perimeter of a shape we add up the sides, and in the case of a suare all the sides are the same. So since we are given the side length of one side (8 mm) we jsut add that up 4 times to get the perimeter of 32 mm
Write out the phrase we use for trigonometry? Help please
Answer:
Pythagorean identity: [tex]sin^2\alpha +cos^2\alpha =1[/tex]
Or SOH CAH TOA
(Sine, opposite over hypotenuse)
(Cosine, Adjacent over hypotenuse)
(Tangent, opposite over adjacent)
PLEASE PLEASE HELP I WILL GIVBE BRAINLIEST
The principal of a high school wants to gather opinions from the parents of students at his school. He starts with the 2nd name in the Parents Teacher Association (PTA) phone handbook and then selects every 5th name in the directory. The 2nd, 7th, 12th, … names in the directory are chosen for his sample. This is an example of a/an ___________ sample.
Answer:
It is systematic sampling.
Solve the system of equations by the addition method.
-3x+4y = 4
-5x-3y=26
Help me as soon as possible plz
Answer:
Step-by-step explanation:
-3x+4y=4
-5x-3y=26
----------------
-8x+y=30
y=8x+30
Plug 8x+30 back into -5x-3y=26
-5x-3(8x+30)=26
-5x-24x+90=20
-29x=-70
x=2.413
Plug 2.413 into y=8x+30
y=8(2.413)+30
y=19.304+30
y=49.304
Hope I helped :)
Brainliest? :o
Date
Mrs. Hodson said that the graphs of the equations below are incorrect. Find the student's errors, and correctly graph
the equations.
Plz plot the points WILL MARK BRAINLIEST .
Answer:
The slope is [tex]\frac{1}{2} x[/tex] so the line would go up one over two instead of down one over two, therefore the graph would look like this:
Answer:
The line is:
y = 1/2x + 4The student correctly plotted one point:
(0,4)Incorrectly plotted the second point. Instead of (2, 2) it should be:
y = 1/2*2 + 4 = 1 + 4 = 5point (2, 5)As a result the student got a negative slope and wrong line.
Correct one is attached
Select the correct comparison
Set A
Set B
. . ...
2 4 6 10
02 A6 8
A. The typical value and the spread are both greater in set A.
B. The typical value is greater in set B. The spread is greater in set A.
C. The typical value and the spread are both greater in set B.
D. The typical value is greater in set A. The spread is greater in set B.
Answer:
A. typical value and the spread are both greater in set A.
I’m confused with this
Given that g(x) = 2/(2x-1)², evaluate g"(1)
Answer:
48
Step-by-step explanation:
Take the second derivative, utilizing quotient and chain rule.
[tex] {g}^{'} = - \frac{8}{(2x - 1)^{3} } \\ {g''} = \frac{48}{(2x - 1)^{4} } \\ {g''(1)} = \frac{48}{(2(1) - 1)^{4} } = \frac{48}{1} = 48[/tex]
What are the degree and leading coefficient of the polynomial?
Answer:
degree: 4, leading coefficient: -1
Step-by-step explanation:
-v is -1 the 1 is invisible. The expression isn't in standard form, 4 is the degree of the expression because it's the highest exponent in the expression.
Omar buys 4 birthday cards for $2
each. What operation should he use
to calculate the total cost? Explain.
Answer:
Step-by-step explanation:
He should use 4 times $2
4*$2=$8
Find the area of the trapezoid. Pls explain and I will mark brainliest.
Answer:
B. 191.4 m²Step-by-step explanation:
Split the trapezoid as pictured below
Find its height and the upper base, then find the area of the trapezoid.
There are 3 pieces, two of them are 45°×45° and 30°×60°×90° triangles
The ratio of sides of a 30°×60°×90° triangle is 1 : √3 : 2The legs of a 45x45 triangle are equalThe above mentioned properties give us:
h = 16/2 = 8 m b = 8√3 ≈ 13.85 ma = h = 8 mNow find the area:
A = 1/2( 13 + 8 + 13.85 + 13)*8 = 191.4 m²Correct choice is B
Which equation represents the line shown on the coordinate plane below??
A straight line is represented by a linear function.
The equation of the line is [tex]y = -\frac 14 x[/tex]
From the coordinate plane, the line passes through the following points
[tex](x,y) =(0,0)\ (4,-1)[/tex]
The slope of the above points is calculated using:
[tex]m = \frac{y_2 -y_1}{x_2 -x_1}[/tex]
So, the above equation becomes
[tex]m = \frac{-1 - 0}{4-0}[/tex]
This gives
[tex]m = \frac{-1}{4}[/tex]
Rewrite as:
[tex]m = -\frac{1}{4}[/tex]
The line equation is then calculated as:
[tex]y = m(x-x_1) + y_1[/tex]
So, we have:
[tex]y = -\frac 14 (x-0) + 0[/tex]
This gives
[tex]y = -\frac 14 (x)[/tex]
Remove bracket
[tex]y = -\frac 14 x[/tex]
Hence, the equation of the line is [tex]y = -\frac 14 x[/tex]
Read more about line equations at:
https://brainly.com/question/4074386
please help me !!!!!
Answer:
1.8m²
Step-by-step explanation:
∅= 51× π/180 = 17π/60
area of sector= 1/2 × r²× ∅
= 1/2 × 2²× 17π/60
= 34π/60
= 1.78m²
Write the two consecutive integers between which the given rational lies
a)-5/11;___;____
b)-21/5_____;_____
c)17/6______;_____
d)-37/5;______;_____
Answer:
a) -1, 0
b) -5, -4
c) 2, 3
d) -8, -7
Step-by-step explanation: