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Gnesinka [82]
3 years ago
11

If h(x)=5x-3 find h(-4)

Mathematics
2 answers:
Iteru [2.4K]3 years ago
5 0
5(-4)-3
-20-3
-23
x=-23
Papessa [141]3 years ago
4 0
In order to gind h (-4), you simply substitute -4 in place of any x in the function.
h(-4) = 5 (-4) - 3
= -20 - 3
= -23
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What is the distance between (9,-4) and (-22, 8)?
MariettaO [177]

Answer:

≈ 33.2 units

Step-by-step explanation:

Calculate the distance d using the distance formula

d = \sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2    }

with (x₁, y₁ ) = (9, - 4) and (x₂, y₂ ) = (- 22, 8)

d = \sqrt{(-22-9)^2+(8+4)^2}

   = \sqrt{(-31)^2+12^2}

   = \sqrt{961+144}

    = \sqrt{1105} ≈ 33.2 ( to 1 dec. place )

3 0
3 years ago
F=(9/5) C +32, C=15 Can you show me what a graph looks like?
CaHeK987 [17]

Answer:

Step-by-step explanation:

F=(9/5) C +32 has the form of the equation of a straight line:  y = mx + b, where m is the slope and b is the y-intercept.  By comparing these two equations we see that the slope, m, is (9/5) and the y-intercept is 32 (or (0, 32)).

To graph this, first locate the y-intercept (0, 32); put a dark dot there.  Since the slope is 32, or 32/1, move your pencil point 1 unit to the right, from (0, 32) to (1, 32), and then from (1, 32) move y our pencil point 32 units upward.  Plot another dark dot there and then draw a straight line through these two points.

We can evaluate the given function F=(9/5) C +32 at C = 15 by replacing C in the formula with 15:  F = (9/5)(15) + 32, or F = 59.

8 0
3 years ago
Use compatible numbers to estimate the quotient 315 divided by 8 answer quickly thank you!
lbvjy [14]
315 is about 320 which is divisible by 8 320/8 is 40
8 0
3 years ago
Read 2 more answers
How many Solutions does this system have? (1 point)
mixas84 [53]

The given system of equation that is 2x+y=3 and 6x=9-3y has infinite number of solutions.

Option -C.

<u>Solution:</u>

Need to determine number of solution given system of equation has.

\begin{array}{l}{2 x+y=3} \\\\ {6 x=9-3 y}\end{array}

Let us first bring the equation in standard form for comparison

\begin{array}{l}{2 x+y-3=0} \\\\ {6 x+3 y-9=0}\end{array}

\frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}} \neq \frac{c_{1}}{c_{2}}

To check how many solutions are there for system of equations a_{1} x+b_{1} y+c_{1}=0 \text{ and }a_{2} x+b_{2} y+c_{2}=0, we need to compare ratios of \frac{a_{1}}{a_{2}}, \frac{b_{1}}{b_{2}} \text { and } \frac{c_{1}}{c_{2}}

In our case,  

a_{1} = 2, b_{1}= 1\text{ and }c_{1}= -3

a_{2}  = 6, b_{2} = 3,\text{ and }c_{2} = -9

\begin{array}{l}{\Rightarrow \frac{a_{1}}{a_{2}}=\frac{2}{6}=\frac{1}{3}} \\\\ {\Rightarrow \frac{b_{1}}{b_{2}}=\frac{1}{3}} \\\\ {\Rightarrow \frac{c_{1}}{c_{2}}=\frac{-3}{-9}=\frac{1}{3}} \\\\ {\Rightarrow \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}=\frac{1}{3}}\end{array}

As \frac{a_{1}}{a_{2}}=\frac{b_{1}}{b_{2}}=\frac{c_{1}}{c_{2}}, so given system of equations have infinite number of solutions.

Hence, we can conclude that system has infinite number of solutions.

5 0
3 years ago
Simplify plz :3 &lt;3<br> 1+4(6p-9)
mixas84 [53]

Answer:

24p - 35

Step-by-step explanation:

Step 1: Distribute.

  • 1+4(6p-9)
  • 1+(4)(6p) + (4)(-9)
  • 1+24p -36  

Step 2: Combine like terms.

  • (24p) + (-36+1)
  • 24p - 35

Therefore, the answer is 24p - 35! I hope this helped you.

5 0
3 years ago
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