y = 4x + 2
y= x2 + 6x + 5​

Answer:

46

Step-by-step explanation:

Calculate in calculator

Answer:

y intercept = -5

slope= 4

equation: y = 4x - 5

EXPLANATION:

FIRST, you must write the formula for a linear graph , which is y = m(x) + c

where y is any y component and x is it's corresponding x component , m is the gradient or slope and c is the constant or y intercept.

SOLUTION:

y = mx + c

finding the gradient (m)

m = y2 - y1

x2 - x1

=( (-1)-(-5) ) ÷ (1-0)

= -1+5 ÷ 1

= 4

Therefore, the slope is 4

finding the y intercept.

y = 4x + c

in the above equation, I substituted the value I had for the slope or the gradient or m.

SO NOW IM ABOUT TO FIND C

TO FIND C, YOU MUST FIRST PICK A CORRESPONDING Y AND X COMPONENT.

I CHOOSE MY Y = 3 and X = 2

Now I'm going to substitute those values into the formula.

(3) = 4(2) + C

since it's an equation with one variable, no need for simultaneous equations.

3 = 8 + c

3-8 = c

-5 = c

SO THATS HOW WE ARRIVED AT -5 AND 4.

WITH THAT, the equation of the line is y = 4x - 5.

I HOPE IT WAS HELPFUL.

Answer:

(x-3)(x+8)

Step-by-step explanation:

Answer:

(x-3)(x+8) take your pick

Answer:

the answer is

[tex]1 \frac{1}{3} [/tex]

Answer:

x^4-3x^3-14x^2+12x+40 =0

Step-by-step explanation:

Answer:

msnsjakzooapaozoziznzn zjzkzkamamz xnejiqpwkx

Answer:

y = (0,4)

x=(6,0)

(6,4)

Step-by-step explanation:

Answer:

x + y = 10

3.75x + 2.5y = 35

Step-by-step explanation:

Got it correct

Answer:

c

Step-by-step explanation:

i used a calculator (they never lie)

Answer:

22

Step-by-step explanation:

60+6x-12= 180

6x = 180 -48

x= 132/6= 22

The solution is 40% acetic acid.

Multiply the amount of the solution by 40%:

15 liters x 0.40 = 6 liters

There is 6 liters of acetic acid

i really really really like birds

Answer:

X=2

Y=1

Step-by-step explanation:

........... Solution on the photo above

Answer:

the answer to this is a = 11/12

Step-by-step explanation:

Answer:

Note that  24  - 10  =  14  don't have black  fur

And suppose  that these 14 are part of the 17 that don't catch mice

Then.....3 that catch mice  must also have black fur....and this is the smallest number that do not catch mice but have black fur

Answer:

Nothing left

Step-by-step explanation:

Nothing left

2/7+4/5=38/35

1 3/35

Answer:

[tex]\frac{1}{7}[/tex]

Step-by-step explanation:

Amount of cake Rani ate = [tex]\frac{2}{7}[/tex]

You need to understand that her brother ate 4/5 of the remaining part, not of the entire cake, so we need to figure out the actual amount out of the entire cake first before calculating how much is left.

Amount of cake brother ate = [tex]\frac{4}{5}[/tex] × ([tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex])

                                               = [tex]\frac{4}{5}[/tex] × [tex]\frac{5}{7}[/tex]

                                               = [tex]\frac{4}{7}[/tex]

Amount of cake left = [tex]\frac{7}{7}[/tex] - [tex]\frac{2}{7}[/tex] - [tex]\frac{4}{7}[/tex]

                                 = [tex]\frac{1}{7}[/tex]

Answer:

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

Step-by-step explanation:

Given the expression

[tex]3^{-3}\cdot 8^{-3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=8^{-3}\cdot \frac{1}{3^3}[/tex]

[tex]\mathrm{Apply\:exponent\:rule}:\quad \:a^{-b}=\frac{1}{a^b}[/tex]

[tex]=\frac{1}{3^3}\cdot \frac{1}{8^3}[/tex]

[tex]\mathrm{Multiply\:fractions}:\quad \frac{a}{b}\cdot \frac{c}{d}=\frac{a\:\cdot \:c}{b\:\cdot \:d}[/tex]

[tex]=\frac{1\cdot \:1}{3^3\cdot \:8^3}[/tex]

[tex]=\frac{1}{24^3}[/tex]

Thus,

[tex]3^{-3}\cdot \:\:8^{-3}=\frac{1}{24^3}[/tex]

Thus, the equivalent expression is:  [tex]\frac{1}{24^3}[/tex]

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

ok

a.

33/60=0.55

55%

b.

114/60=1.9

or 190%

c

60/100=0.6

0.6=1 percent

54

Answer:

a=55%

b=190%

c=54 pounds

Step-by-step explanation:

Answer:THE ANSWER IS C HOPE THIS HELPS ANY

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

Just add them together...

Answer:

B) △DEF ~ △GHI

E) △JKL ~ △ABC

Step-by-step explanation:

i just did the assignment

The  pairs of triangles are similar

△DEF ~ △GHI and △JKL ~ △ABC.

If two triangles have an equal number of corresponding sides and an equal number of corresponding angles, then they are comparable. Similar figures are described as items with the same shape but varying sizes, such as two or more figures.

Given:

AC = 14

BC = 20

DF = 8

FE= 10

HI = 15

IG = 12

KL = 10

LJ = 7

As, In Right Triangle we can use Pythagoras theorem

AB = √14²+ 20² = 24.41

DE= √8²+10²= 12.8

HG= √15²+ 12² = 19.2

KJ= √10² + 7² = 12.2

Then, from the ratio of Corresponding sides we get

△DEF ~ △GHI and △JKL ~ △ABC.

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Answer:m = 5/4  b=2 and  y=5/4x +2

Step-by-step explanation:

m = 5/4  b=2 and  y=5/4x +2

Answer:

2/3 / 1/6

4/6 / 1/6

1/6 can go into 4/6 4 times. the answer is C; 4

Step-by-step explanation:

Answer:

2.5 hours or 2 hours and 39 min

Step-by-step explanation:

22.50/9

Answer:

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

[tex]a_{n}[/tex] = a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

[tex]a_{n}[/tex] = 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

32 and 5n + 2

Step-by-step explanation:

(a)

The pattern of the number of sticks is

7, 12, 17

There is a common difference of 5 between consecutive terms.

Thus to obtain the number of sticks in number 6 , add 5 to previous terms, that is

a₄ = 17 + 5 = 22

a₅ = 22 + 5 = 27

a₆ = 27 + 5 = 32

There are 32 sticks in pattern number 6

(b)

The sequence is arithmetic with n th term

= a₁ + (n - 1)d

Where a₁ is the first term and d the common difference

Here a₁ = 7 and d = 5 , then

= 7 + 5(n - 1) = 7 + 5n - 5 = 5n + 2

number of sticks in pattern number n is 5n + 2

Answer:

your answer will be $29.

1 LB= $4

4 Oz = $1

Answer: Khloe could buy 3 bags of popcorn and 9 candies.

Step-by-step explanation:

\underline{\text{Variable Definitions:}}

Variable Definitions:

​

x=

x=

\,\,\text{the number of bags of popcorn}

the number of bags of popcorn

y=

y=

\,\,\text{the number of candies}

the number of candies

\text{\textquotedblleft no less than 11 items"}\rightarrow \text{11 or more items}

“no less than 11 items"→11 or more items

Use a \ge≥ symbol

Therefore the total number of bags of popcorn and candies, x+yx+y, must be greater than or equal to 11:11:

x+y\ge 11

x+y≥11

\text{\textquotedblleft \$60 to spend"}\rightarrow \text{can spend \$60 or less}

“$60 to spend"→can spend $60 or less

Use a \le≤ symbol

One bag of popcorn costs $7, so xx bags of popcorn cost 7x.7x. One candy costs $4, so yy candies cost 4y.4y. The total 7x+4y7x+4y must be less than or equal to \$60:$60:

7x+4y\le 60

7x+4y≤60

\text{Solve each inequality for }y\text{:}

Solve each inequality for y:

\begin{aligned}x+y\ge 11\hspace{30px}& 7x+4y\le 60 \\[0.8em] y\ge 11-x \hspace{30px}& 4y\le 60-7x \\[0.8em] \hspace{30px}& y\le \frac{60-7x}{4} \\[0.8em] & y\le 15-\frac{7}{4}x\end{aligned}

x+y≥11

y≥11−x

​

7x+4y≤60

4y≤60−7x

y≤

4

60−7x

​

y≤15−

4

7

​

x

​

Graph y\ge 11-xy≥11−x by shading up and graph y\le 15-\frac{7}{4}xy≤15−

4

7

​

x by shading down:

0

the number of bags of popcorn

the number of candies

x

y

0

the number of bags of popcorn

the number of candies

(3, 9)

Since the point (3, 9(3,9) is inside the double shaded region, one possible solution to the system of inequalities would be:

Khloe could buy 3 bags of popcorn and 9 candies.

The system of inequalities are x + y ≥ 11 and 7x + 4y ≤ 60 and the solution is given by the point P ( 3 , 9 ) where x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Inequalities are the mathematical expressions in which both sides are not equal. In inequality, unlike in equations, we compare two values. The equal sign in between is replaced by less than (or less than or equal to), greater than (or greater than or equal to), or not equal to sign.

In an inequality, the two expressions are not necessarily equal which is indicated by the symbols: >, <, ≤ or ≥.

Given data ,

Let the inequality equation be represented as A

Now , the value of A is

Substituting the values in the equation , we get

Let x represents the number of bags of popcorn purchased and y represents the number of candies purchased

Now , the total number of bags should be no less than 11

And , the inequality is

x + y ≥ 11   be equation (1)

And , cost of each popcorn bag = $ 7

So , the cost of x bags = 7x

And , cost of each candy bag = $ 4

So , the cost of y bags = 4y

The total amount with Khloe = $ 60

And , the inequality is

7x + 4y ≤ 60   be equation (2)

On graphing the inequalities , we can see that the point P ( 3 , 9 ) lies inside the solution

So , 7 ( 3 ) + 4 ( 9 ) ≤ 60

21 + 36 ≤ 60

57 ≤ 60

And , 3 + 9 ≥ 11

12 ≥ 11

Hence , the system of inequalities are solved and the graph is plotted

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Answer:

9 + 6.2x = y

Step-by-step explanation:

x - Gallons per minute

y - Total gallons

So, your answer would be:

9 + 6.2x = y

Could also be written as:

y = 9 + 6.2x

Hope this helps :)

Answer:

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)

Step-by-step explanation:

Confidence interval can be defined as a range of values so defined that there is a specified probability that the value of a parameter lies within it.

The confidence interval of a statistical data can be written as.

x+/-zr/√n

Given that;

Mean x = 29.5

Standard deviation r = 5.2

Number of samples n = 59

Confidence interval = 90%

z-value (at 90% confidence) = 1.645

Substituting the values we have;

29.5+/-1.645(5.2/√59)

29.5+/-1.645(0.676982337100)

29.5+/-1.113635944529

29.5+/-1.11

= ( 28.39, 30.61)

Therefore, the 90% confidence interval (a,b) =( 28.39, 30.61)