which linear function has the same y -intercept as the one that is represented by the graph ?

Answer:

maybe you add then all up

Answer:

D

Step-by-step explanation:

Answer: D

Step-by-step explanation:

Answer:

No solution

Step-by-step explanation:

Rearrange into quadratic form: 3x² + 0x - 3 = 0

Quadratic formula: when ax² + bx + c = 0: x = (-b ± √(b² - 4ac))/2a

Plug in: x = 0 ± √(0 - 4*3*3))/2a

From this, we can conclude that this equation has no solution, as 0 - 4*3*3 will definitely be negative, and a negative number can not be square rooted.

Answer:

(3a-1)(3a+1)

Step-by-step explanation:

We can quickly see with this problem that it is the difference of two squares as 9a^2 is (3a)^2 and 1 is 1^2 and therefore can factorise quickly using this rule.

x^2-y^2 = (x-y)(x+y) where x = 3a and y = 1

ANSWER

[tex]{(3 {a})^{2} } - {1}^{2} = (3a + 1)(3a - 1)[/tex]

EXPLANATION

We want to simplify completely:

[tex]9 {a}^{2} - 1[/tex]

We express the two terms as difference of two squares;

[tex] {(3 {a})^{2} } - {1}^{2} [/tex]

Recall and apply the following identity;

[tex]{x}^{2} - {y}^{2} = (x + y)(x - y)[/tex]

We apply this identity to obtain:

[tex]{(3 {a})^{2} } - {1}^{2} = (3a + 1)(3a - 1)[/tex]

Answer:

20 cents.

Step-by-step explanation:

You can drop 2 zeros from both the price and the amount of pencils. If 1000 pencils costs 20.00 dollars then 10 pencils cost .20 dollars or 20 cents.

Answer:

D. 40%

Step-by-step explanation:

You can fill in the table completely

[tex]\begin{array}{cccc}&\text{Hamburgers}&\text{Pizza}&\text{Total}\\\text{Adults}&0.24&0.36&0.6\\\text{Children}&0.11&0.29&0.4\\\text{Total}&0.35&0.65&1\end{array}[/tex]

From this table you can state that the probability that a randomly selected person is a child is 0.4 that is 40%.

The percentage of the people surveyed are children is:

                               40%

We are given a table as follows:

                            HAMBURGERS               PIZZA             TOTAL

ADULTS                   0.24                              0.36                0.6

CHILDREN                0.11                               0.29                 0.4

TOTAL                      0.35                              0.65                   1

Now we are asked to find the percent of students that were surveyed.

From the table we may see that the probability of children who were surveyed are:

     0.11+0.29=0.40

( since, the second column gives the total of the probability of children)

Hence, in percentage form it is given by:

0.40×100=40%

          Hence, the answer is:

               40%

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}x^2+y^2=16&(1)\\y+4=x^2&(2)\end{array}\right\qquad\text{substitute (2) to (1)}\\\\(y+4)+y^2=16\\y^2+y+4=16\qquad\text{subtract 16 from both sides}\\y^2+y-12=0\\y^2+4y-3y-12=0\\y(y+4)-3(y+4)=0\\(y+4)(y-3)=0\iff y+4=0\ \vee\ y-3=0\\\\y+4=0\qquad\text{subtract 4 from both sides}\\\boxed{y=-4}\\\\y-3=0\qquad\text{add 3 to both sides}\\\boxed{y=3}[/tex]

[tex]\text{Put the values of y to (2)}:\\\\\text{for}\ y=-4\\x^2=-4+4\\x^2=0\to x=\sqrt0\to\boxed{x=0}\\\\\text{for}\ y=3\\x^2=3+4\\x^2=7\to x=\pm\sqrt{7}\\\boxed{x=-\sqrt7\approx-2.65}\ \vee\ \boxed{x=\sqrt7\approx2.65}[/tex]

Answer:

(x - 3)(4x² + 6x + 9)

Step-by-step explanation:

This is a difference of cubes which factors in general as

a³ - b³ = (a - b)(a² + ab + b²)

8x³ = (2x)³ ⇒ a = 2x

27 = 3³ ⇒ b = 3

Hence

8x³ - 27

= (2x)³ - 3³

= (2x - 3)( (2x)² + (2x × 3) + 3²)

= (2x - 3)(4x² + 6x + 9)

Answer:

The slope is 7/8

Step-by-step explanation:

Use the equation: (Y2 - Y1) / (X2 - X1)

[3 - (-4)] / [4 - (-4) = 7/8

The slope is 7/8

it's important that you should remember this formula, so you know the slope of the line:

slope formula: [tex]\frac{y_{2} - y_{1}}{x_{2} - x_{1}}[/tex]

usually i would label the points, like the picture shown below

then, you plug in the points into the equation:

m = [tex]\frac{3 - (-4)}{4 - (-4)}[/tex]

m = [tex]\frac{7}{8}[/tex]

hope this helps!

Let's call trade balance b, exports e and imports i.

We now construct formula.

[tex]b=\Delta{ei}=e-i[/tex]

Put in the data from last year.

[tex]b=968-1658=\boxed{-690}[/tex]

U.S trade balance for that year is -690 billion dollars.

Answer:

[tex]\large\boxed{\left[\begin{array}{ccc}43&6\\-70&-33\end{array}\right] }[/tex]

Step-by-step explanation:

[tex]\left[\begin{array}{ccc}8&3\\-7&2\end{array}\right] \cdot\left[\begin{array}{ccc}8&3\\-7&-6\end{array}\right] \\\\=\left[\begin{array}{ccc}(8)(8)+(3)(-7)&(8)(3)+(3)(-6)\\(-7)(8)+(2)(-7)&(-7)(3)+(2)(-6)\end{array}\right] \\\\=\left[\begin{array}{ccc}43&6\\-70&-33\end{array}\right][/tex]

Answer:

D

Step-by-step explanation:

43, 6

-70, -33

Answer: W = 700 divided by a+18

Step-by-step explanation:

a) We can plug in $358 into A(w), since A(w) represents the amount of money Dale needs. So,

358 = 700 - 18w

Subtract: -342 = -18w

Divide: w = 19 weeks

b) We can plug in 6 into w, since w represents the number of weeks Dale saves money. So,

A(w) = 700 - 18(6)

Multiply: A(w) = 700 - 108

Subtract: A(w) = $592

Answer:

[tex]y=\tan \frac{1}{2} \pi[/tex]

Step-by-step explanation:

The given graph has a period of [tex]2\pi[/tex], because the graph repeats after every [tex]2\pi[/tex] units.

The formula for finding the period of a tangent function is

[tex]T=\frac{\pi}{b}[/tex]

We substitute the period to get;

[tex]2\pi=\frac{\pi}{b}[/tex]

This implies that;

[tex]b=\frac{\pi}{2\pi}[/tex]

Therefore[tex]b=\frac{1}{2}[/tex]

Hence the function represented by the graph is

[tex]y=\tan \frac{1}{2} \pi[/tex]

The mean, or average, of the data set is 3 defective toys per sample group. Therefore set 0.3 and 0.5 are the most accurate representations.

Option C) 0.3

if segments OX = OC and perpendicular to those chords, then AB = YZ, the chords are also equal.

Answer:

If you're asking for the formula to find the area of a triangle, its:

1/2bh

b = base

h = height

Answer:

D. 12

Step-by-step explanation:

Answer:

D 12

Step-by-step explanation:

8h > 64

Divide each side by 8

8h/8 > 64/8

h > 8

H must be greater than 8

The only value in your list greater than 8 is 12

Answer:

[tex]9y^2-4x^2-36y+16x-16=0[/tex]

Step-by-step explanation:

The given hyperbola has equation:

[tex]\frac{(y-2)^2}{4}-\frac{(x-2)^2}{9}=1[/tex]

We multiply through by 36 to get:

[tex]9(y-2)^2-4(x-2)^2=36[/tex]

We expand to get:

[tex]9(y^2-4y+4)-4(x^2-4x+4)=36[/tex]

[tex]9y^2-36y+36-4x^2+16x-16=36[/tex]

[tex]9y^2-36y-4x^2+16x-16=0[/tex]

The equation of the hyperbola in general form is:

[tex]9y^2-4x^2-36y+16x-16=0[/tex]

Answer:

2

Step-by-step explanation:

Given Data:

total distance= 850 miles

gas tank holds gas= 15 gallons

mileage = 72/3.2 miles/gallon

if

72 miles uses= 3.2 gallon

then

850 miles uses= x gallons

by cross-multiplication we get

72x=3.2(850)

x=37.778

i.e. 850 miles will use 37.7778 gallon of gas

Asgas tank holds 15 gallons

number of times gas tank is used up= 37.3/15

                                                            = 2.518

rounding off

number of times gas tank is used up=3

As they filled the gas tank at the start of the road trip, hence 3-1=2

ADDITIONAL STOPS FOR GAS WILL THEY NEED TO MAKE TO GET TO THEIR DESTINATION =2 !

The answer is:

Answer: 34

Units: Joules

[tex]KE=34J[/tex]

The kinetic energy is the work needed to accelerate an object to a determined speed.

The kinetic energy can be calculated using the following equation:

[tex]KE=\frac{1}{2}mv^{2}[/tex]

Where,

m, is the mass of the object.

v, is the speed of the object.

So, we are given the information:

[tex]mass=17kg\\\\v=\frac{2m}{s}[/tex]

Then, substituting and calculating we have:

[tex]KE=\frac{1}{2}mv^{2}[/tex]

[tex]KE=\frac{1}{2}*17kg*(\frac{2m}{s})^{2}[/tex]

[tex]KE=8.5kg*(\frac{4m^{2}}{s^{2}})[/tex]

[tex]KE=34\frac{kg.m^{2}}{s^{2}}=34J[/tex]

Have a nice day!

ANSWER

40°

EXPLANATION

The opposite sides of a rhombus are parallel.

This implies that, the diagonal is a transversal.

This means that,

m<1 and m<2 are alternate interior angles.

Since alternate interior angles congruent,

m<1 =m<2=40°

The correct choice is C.

Answer:

D

Step-by-step explanation:

The n th term ( explicit formula ) of an arithmetic sequence is

[tex]a_{n}[/tex] = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

The recursive formula allows us to find the next term from the previous term by adding d to it

Given

[tex]a_{n}[/tex] = [tex]a_{n-1}[/tex] - 3 ⇒ d = - 3

Hence

[tex]a_{n}[/tex] = 9 + (n - 1)(- 3) ← explicit formula → D

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. The general formula is a_n = a_1 + (n-1)d, where a_n is the nth term, a_1 is the first term, and d is the common difference.

An arithmetic sequence is a sequence of numbers in which the difference between any two consecutive terms is constant. The general formula for an arithmetic sequence is an = a1 + (n-1)d, where an is the nth term, a1 is the first term, and d is the common difference.

For example, in the given sequence 1, 3, 5, 7, 9, the first term a1 is 1, and the common difference d is 2. Using the formula, we can find the nth term by replacing n with the position of the term we want to find. For instance, to find the 5th term, we substitute n = 5:

a5 = 1 + (5-1)2 = 1 + 8 = 9

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Answer:

80%

Step-by-step explanation:

(54-30)/30 *100 = 80%

[2 1 | 1 0 ] • x = [5 | 10]

We multiply by the inverse of

[2 1 | 1 0 ]

det( [2 1 | 1 0] ) = -1

=> [2 1 | 1 0 ]^(-1) = (-1)•[0 -1 | -1 2 ] =

= [0 1 | 1 -2]

=> [2 1 | 1 0 ] • x = [5 | 10]

=> x = [2 1 | 1 0 ]^(-1) • [5 | 10]

=> x = [0 1 | 1 -2] • [5 | 10]

=> x = [0+10 | 5-20]

=> x = [10 | -15]

Answer:

D.

Step-by-step explanation:

For this case we have:

Let k> 0:

To graph [tex]y = f (x) + k,[/tex] the graph k units is moved up.

To graph [tex]y = f (x) -k[/tex], the graph moves k units down.

Let h> 0:

To graph[tex]y = f (x-h)[/tex], the graph moves h units to the right.

To graph [tex]y = f (x + h),[/tex] the graph moves h units to the left.

So, we have:

[tex]y = f (x) = - \sqrt [3] {x}[/tex]

Shifted 7 units up and 4 to the right means:

[tex]k = 1\\h = 4[/tex]

[tex]y = f (x) = - \sqrt [3] {x-4} +7[/tex]

Answer:

Option B

He can fit 4 boxes along the wall

Answer:

out of the 4 people who had a sister, 2 also had a brother

Step-by-step explanation:

a pex

The P(B| A) = 0.50 mean in terms of the Venn diagram is of the 4 people who have a brother, 2 of them also have a sister.

Experimental probability is a probability that is determined on the basis of a series of experiments.

Events are defined as follows.

Event A: The selected person has a sister

Event B: The selected person has a brother

The conditional probability of A given B is the probability that the selected person also has a sister since he has a brother.

[tex]\rm P(A|B)=\dfrac{P(A\ and \ B)}{P(B)}[/tex]

P(B) is the probability that the selected person has a brother. Notice that there are 4 people who have a brother.

P(A and B) is the probability that the selected person has a brother and also a sister. Notice that there are 2 people who have a brother and a sister.

So P(A| B) = 0.5 means that of the 4 people who have a brother, 2 of them also have a sister.

Hence, the P(B| A) = 0.50 mean in terms of the Venn diagram is of the 4 people who have a brother, 2 of them also have a sister.

Learn more about probability here;

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Answer:

16 and 46

Step-by-step explanation:

Lowest number = left of the number line

1 , 2 , 3 , 4 , 5 , 6 , 7

Answer:

Step-by-step explanation:

a) 17 is further to the left on the number line than 305.

b) 187  .... than 900.

c) 16  ... than 46.

d) 149,984 is further to the left than 157,019.

Answer: A

48+ 36 = 84  

84/4 = 21 groups  

there are 21 groups of 4 balloons  

Answer:

see explanation

Step-by-step explanation:

The length of the arc is calculated as

arc = circumference of circle × fraction of circle

      = 2πr × [tex]\frac{90}{360}[/tex] ← r = 1

      = 2π × [tex]\frac{1}{4}[/tex] = [tex]\frac{\pi }{2}[/tex] ≈ [tex]\frac{3.14}{2}[/tex] = 1.57