Answer:
The equation is;
4y = 7x + 2
Step-by-step explanation:
The general equation of a straight line is;
y = mx + b
where m is the slope and b is the y-intercept
m = (y2-y1)/(x2-x1)
(x1,y1) = (2,3)
(x2,y2) = (-2,-4)
m = (-4-3)/(-2-2) = -7/-4 = 7/4
So we have the equation as;
y = 7x/4 + b
To
get the value of b, we will substitute any of the points (let us use 2,3)
We simply substitute 2 for x and 3 for y
We have this as:
3= 7(2)/4 + b
3 = 7/2 + b
b = 3-7/2 = -1/2
So we have the equation as;
y = 7x/4 + 1/2
multiply through by 4
4y = 7x + 2
the sum of 6 less than a number and 3
Answer:
2
Step-by-step explanation:
Solve for x in the diagram below.
Answer:
x = 20°
Step-by-step explanation:
here's your solution
=> it is given that whole angle is 90°
=> so, x + (3x + 10) = 90°
=> x + 3x + 10 = 90°
=> 4x + 10 = 90°
=>4x = 90 - 10
=> 4x = 80°
=.
=> x = 80/4
=> x = 20°
one angle is 20° and other 70°
hope it helps
Answer:
20 is your answer
x+3x+10=90 being right angle
4x=90-10
x=80/4=20
Matilda is practicing her marching band routine on the football field. She starts at the center of the field, marches 80 feet south then 60 feet
west, and stops.
What is the direct distance from the center of the field to where Matilda stopped marching?
Answer:
100 feet
Step-by-step explanation:
pythagorean theorm
60^2+80^2= 10,000
Square root of 10,000= 100
Answer: 100
Step-by-step explanation:
Linda made 2 identical necklaces, each having beads and a pendant. The total cost of the beads and pendants for both necklaces was $8.40. If the beads cost a total of $4.20, how much did each pendant cost?
Answer:
$2.10
Step-by-step explanation:
8.40-4.20=4.20÷2=2.10
Answer:
2.1
Step-by-step explanation:
(8.4-4.2)/2
=4.2/2
=2.1
An angle measures 145°.
Through what fraction of a circle does the angle turn?
Answer:
[tex]\frac{29}{72}[/tex]
Step-by-step explanation:
There are 360° in one complete rotation , thus angle turns
fraction = [tex]\frac{145}{360}[/tex] ( divide numerator and denominator by 5 )
= [tex]\frac{29}{72}[/tex] ← in simpest form
In 1979, the price of electricity was $0.05 per kilowatt-hour. The price of electricity has increased at a rate of approximately 2.05% annually. If t is the number of years after 1979, create the equation that can be used to determine how many years it will take for the price per kilowatt-hour to reach $0.10. Fill in the values of A, b, and c for this situation. Do not include dollar signs in the response.
c=A(b)^x
The equation that can be used to determine the number of years it would take for the price to be $0.10 is 0.10 = 0.05(1.0205)^t.
What is the equation that models the increase?
The equation that would be used is an exponential equation. An exponential equation is used because the rate of increase is a compound growth.
Exponential equations usually have this form: FV = PV( 1 + r)^t
Where:
FV = future value PV = present value r = rate of growth t = time0.10 = 0.05(1.0205)^t.
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Which of these numbers is not larger than -2 on a number-line? *
( a) 0
(b) -1
(c) 5
(d) -3
Answer:
d
Step-by-step explanation:
A university will add fruit juice vending machines to its classroom buildings if the student body president is convinced that more than 20 percent of the students will use them. A random sample of n students will be selected and asked whether or not they would use the vending machines. A large-sample test for proportions at the significance level of a = 0.05 will be performed. The null hypothesis that the proportion of all students who would use the vending machines is 20 percent will be tested against the alternative that more than 20 percent of all students would use them. For which of the following situations would the power of the test be highest?
A .The sample size is n = 750, and 20 percent of all students actually use the vending machines.
B. The sample size is n = 750, and 50 percent of all students actually use the vending machines.
C. The sample size is n = 1,000, and 55 percent of all students actually use the vending machines.
D. The sample size is n = 1,000, and 25 percent of all students actually use the vending machines.
E. The sample size is n = 500, and 50 percent of all students actually use the vending machines.
Answer:
The power of the test will be highest for;
C. The sample size is n = 1,000, and 55 percent of all students actually use vending machines
Step-by-step explanation:
For a large sample test for proportions, we have;
[tex]z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p \cdot q}{n}}}[/tex]
Where;
[tex]\hat p[/tex] = The percentage of the hypothesized proportion = 20% = 0.20
p = The actual proportion
n = The size of the sample
The power of the test increases when;
The sample size 'n' is large
When the true vale of the measured items in the test is much larger than the value set as the null hypothesis
When the significant level is high
Therefore, we have;
The power of the test will be highest when the sample size is n = 1,000, and 55 percent of all students actually use vending machines
Help please! I don’t know the answer to this question
Answer:
x=8
[tex]2x \times 10 \div 2\\ = 2(8) \times 10 \div 2\\ = 16 \times 10 \div 2 \\ = 160 \div 2 \\ = 80[/tex]
Answer:
x = 8 cm
Step-by-step explanation:
Area = 1/2bh
80 = 1/2(10)(2x)
10x = 80
x = 8
Y= -6/5x-7 and y=2/5x+1
Answer:
x = -5
y = -1
Step-by-step explanation:
Y= -6/5x-7 and y=2/5x+1
then:
-6/5x - 7 = 2/5x + 1
simplify:
-8/5x = 8
divide both sides by 8:
-1/5x = 1
multiply both sides by 5:
-x = 5
x = -5
y = 2/5(-5) + 1 = -2 + 1 = -1
12. A school pays a company $125 to design
gym T-shirts. It costs an additional $15 to
make each T-shirt
a) Copy and complete the table of values.
Number of T-Shirts Cost ($)
0
125
5
200
10
15
35
950
b) Develop an equation to determine the
cost of the T-shirts. Explain the meaning
of the numerical coefficient.
c) What would it cost to make 378 T-shirts?
d) If the school store has a budget of $2345
for T-shirts, how many T-shirts can be
ordered?
cost of T- shirts = 125 (Fixed price) + 15* number of T- shirts
Cost to make 378 T-shirts is $5795.T-shirts can be ordered in $2345 is 148 T- shirtswhat is equation?In algebra, an equation can be defined as a mathematical statement consisting of an equal symbol between two algebraic expressions that have the same value.
A school pays a company $125 to design gym T-shirts.
It costs an additional $15 to make each T-shirt.
Number of T-Shirts Cost ($)
0 125
5 200
10 275
15 350
b) equation:
cost of T- shirts = 125 (Fixed price) + 15* number of T- shirts
c) cost of 378 T- shirts
=125+ 15(378)
= 5795
c) school store has a budget of $2345
Number of T- shirts = (2345-125)/15
= 148 T- shirts
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HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
HELP I NEED HELP ASAP
How many solutions can a system of linear equations have?
Answer: One
Step-by-step explanation:
G (x ), represents transformations on the parent function of y = (½) x Write the equation for g (x ).
Complete Question:
g(x), represents transformations on the parent function of [tex]y = (\frac{1}{2})^x[/tex].
Write the equation for g (x ) with the following transformations:
Reflect over y-axis, and shift right 7
Answer:
[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]
Step-by-step explanation:
Given
[tex]y = (\frac{1}{2})^x[/tex]
Represent the function as:
[tex]f(x) = (\frac{1}{2})^x[/tex]
Taking the transformations, one after the other:
Reflect over the y-axis.
This is represented by the rule: (x,y) ==> (-x,y)
So, we have:
[tex]f'(x) = (\frac{1}{2})^{-x}[/tex]
Shift right 7 units
This is represented by (x,y) = (x - b, y)
Where b represents the number of units
So, we have:
[tex]f'(x-7) = (\frac{1}{2})^{-x-7}[/tex]
Hence:
[tex]g(x) = (\frac{1}{2})^{-x-7}[/tex]
What are the features of the function f(x) = -log 3 +6 graphed below?
Side c on a right triangle is ALWAYS the longest.
O No answer text provided.
O No answer text provided.
O True
O False
Answer:
the answer should be false..
If x = -3, y = 5 and z = -2, evaluate the following:
help plsssss
note giving brilst
Answer:
3) x^2-yz/z^2
x = -3, y = 5 and z = -2 plug in these values
-3^2 -5(-2) /-2^2
= -1/4
decimal form: -0.25
4) x^2+y^2+z^2/xyz
x = -3, y = 5 and z = -2 plug in these values
-3^2+5^2+-2^2/-3*5*-2
= 2/5
decimal form: 0.4
5) x+y/z + y+z/x
x = -3, y = 5 and z = -2 plug in these values
(-3+5/-2)+(5+(-2)/-3)
= -2
6) 2x+y-z/x-3y+z
x = -3, y = 5 and z = -2 plug in these values
2(-3)+5-(-2)/-3-3(5)+(-2)
= -1/20
decimal form: -0.05
Answer:
(iii) (-3)^2 - (5)(-2)/(-2)^2
9 - (-10)/ 4
9+10/4
19/4
4.75
(iv) (-3)^2 + (5)^2 + (-2)^2/(-3)(5)(-2)
9 + 25 +4 / 30
9 + 29 / 30
38 / 3
1.26
(v) (-3) + (5)/(-2) + (5) + (-2)/(-3)
-8 / -2 + -10 / -3
4 + -10/ -3
LCM = -3
-12 + (-10)/ -3
-22/-3
7.3
(vi) 2(-3) + (5) - (-2)/(-3) - 3(5) + (-2)
-6 + 5/-3 -15 -2
-1 / -3 -17
-1 / -20
1/20
Find h.
plz answer thank you
Answer:
[tex] \frac{15}{h} = \frac{20}{30} \\ 15 \times 30 = 20 \times h \\ h = \frac{450}{20} \\ h = 22.5[/tex]
Which number in the set {6, 12, 18, 36} satisfies the equation 3x - 9 = 27? Explain
Answer:
12
Step-by-step explanation:
3 x 12= 36
36-9= 27
Select the expressions that are equivalent to 7(x+2).
Answer:
5
Step-by-step explanation:
7-2=x
7-2=5
x=5
.........................
The final price of an iPhone 12 Pro Max was $1072.85 after a 7.5% sales tax was applied. What was the original cost of the phone? Please explain
Answer:
992.39
Step-by-step explanation:
sales tax was 80.46 subtract from 1072.85 get 992.39 original price.
Can someone please help me with math.
Its 1 question.
Answer:
B
Step-by-step explanation:
more points fall on the line. a close second is D but you can see that B is more accurate
HELP DUE IN 10 MINS!
The monument is Blank feet tall.
Answer:
i got 555 ft. hope this help you.
Please help !!
Find the limit of the function by using direct substitution.
limit as x approaches three of quantity x squared plus eight x minus two.
0
-31
Does not exist
31
Given:
The limit problem is:
[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]
To find:
The limit of the function by using direct substitution.
Solution:
We have,
[tex]\lim_{x\to 3}(x^2+8x-2)[/tex]
Applying limit, we get
[tex]\lim_{x\to 3}(x^2+8x-2)=(3)^2+8(3)-2[/tex]
[tex]\lim_{x\to 3}(x^2+8x-2)=9+24-2[/tex]
[tex]\lim_{x\to 3}(x^2+8x-2)=33-2[/tex]
[tex]\lim_{x\to 3}(x^2+8x-2)=31[/tex]
Therefore, the correct option is D.
HELP ME AND PLEASE SHOW WORK
Answer:
Its scaled half the bigger model and evidence is to divide your numbers by 2 or multiply by .5
Step-by-step explanation:
please answer correctly !!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!
Answer:
ok pls mark me brainliest look below for the answer
Step-by-step explanation:
22
Help me pls!!!!!!!!!!
Answer:
m<B= 52
Step-by-step explanation:
2x - 30 + 3x + 10 + 7x + 32 = 180
12x + 12 = 180
12x = 168
x = 14
m<B= 3x + 10
3(14) + 10
52
What are the answers to the questions on this page? Show work if possible. (Geometry) 60 points + Brainliest if correct. (Page 3).
Answer:
oh yeah
Step-by-step explanation:
Can someone help me please.in school.
can you send a closer pic?
When solving for x in a one-variable equation, there can be one solution, no solution, or infinitely many solutions. In complete sentences, explain whether this statement is true or false, and why.
can somebody please help me
Answer:
Step-by-step explanation:
10
